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Financial Market Integration
Presentation byDipl Oec Mevlud Islami
Schumpeter School of Business and EconomicsUniversity of WuppertalGauszligstraszlige 20 42097 Wuppertal
Outline
Financial Market IntegrationStock Market (Integration)
Bond Market (Integration)
2
Stock Market Integration
Financial market integration means that spatially separated financial markets increasingly merge into a single financial market
Reduction of both capital flow barriers and erosion of the home bias effect (partially due to institutional integration) should increasingly lead market participants to consider shares of different countries as substitutes
4
Stock Market Integrationin Eastern Europe
Perfect substitution requires elimination of exchange rate risk
For the Eastern European countries this precondition is not fulfilled Nevertheless trade within the EU member countries has increased tremendously (BORBEacuteLY 2006)
rarr Amplified synchronization of business cycles
rarr Interlinkages of capital markets should also strengthen
Measurement of financial (stock) market integration
rarr Eg correlation ldquobetardquo
5
Stock Market Integrationin Eastern Europe
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Outline
Financial Market IntegrationStock Market (Integration)
Bond Market (Integration)
2
Stock Market Integration
Financial market integration means that spatially separated financial markets increasingly merge into a single financial market
Reduction of both capital flow barriers and erosion of the home bias effect (partially due to institutional integration) should increasingly lead market participants to consider shares of different countries as substitutes
4
Stock Market Integrationin Eastern Europe
Perfect substitution requires elimination of exchange rate risk
For the Eastern European countries this precondition is not fulfilled Nevertheless trade within the EU member countries has increased tremendously (BORBEacuteLY 2006)
rarr Amplified synchronization of business cycles
rarr Interlinkages of capital markets should also strengthen
Measurement of financial (stock) market integration
rarr Eg correlation ldquobetardquo
5
Stock Market Integrationin Eastern Europe
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration
Financial market integration means that spatially separated financial markets increasingly merge into a single financial market
Reduction of both capital flow barriers and erosion of the home bias effect (partially due to institutional integration) should increasingly lead market participants to consider shares of different countries as substitutes
4
Stock Market Integrationin Eastern Europe
Perfect substitution requires elimination of exchange rate risk
For the Eastern European countries this precondition is not fulfilled Nevertheless trade within the EU member countries has increased tremendously (BORBEacuteLY 2006)
rarr Amplified synchronization of business cycles
rarr Interlinkages of capital markets should also strengthen
Measurement of financial (stock) market integration
rarr Eg correlation ldquobetardquo
5
Stock Market Integrationin Eastern Europe
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Financial market integration means that spatially separated financial markets increasingly merge into a single financial market
Reduction of both capital flow barriers and erosion of the home bias effect (partially due to institutional integration) should increasingly lead market participants to consider shares of different countries as substitutes
4
Stock Market Integrationin Eastern Europe
Perfect substitution requires elimination of exchange rate risk
For the Eastern European countries this precondition is not fulfilled Nevertheless trade within the EU member countries has increased tremendously (BORBEacuteLY 2006)
rarr Amplified synchronization of business cycles
rarr Interlinkages of capital markets should also strengthen
Measurement of financial (stock) market integration
rarr Eg correlation ldquobetardquo
5
Stock Market Integrationin Eastern Europe
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Perfect substitution requires elimination of exchange rate risk
For the Eastern European countries this precondition is not fulfilled Nevertheless trade within the EU member countries has increased tremendously (BORBEacuteLY 2006)
rarr Amplified synchronization of business cycles
rarr Interlinkages of capital markets should also strengthen
Measurement of financial (stock) market integration
rarr Eg correlation ldquobetardquo
5
Stock Market Integrationin Eastern Europe
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The Capital Asset Pricing Model
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The Capital Asset PricingModel (CAPM)
The market portfolio is central for the CAPM which assumes that the market portfolio lies on the efficient set and that all investors hold the market portfolio in combination with a desired amount of risk free borrowing and lending
(1)pm
fmfp
rrrr σsdot⎥
⎦
⎤⎢⎣
⎡σminus
+=
The Stock Market 7
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
(2)
(3)
βi (future) beta factor of security i
σiM covariance between the future returns of security i (ri) and the securities of the market (rM)
variance of the future returns of the market
)rr(r)r(E fMifi minusβ+=
2M
iM
m
mii )r(Var
)rr(Covσσ
==β
2Mσ
The Capital Asset PricingModel (CAPM)
The Stock Market 8
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The Beta factor measures the market risk (systematic risk) of a security
It is the risk component which cannot be eliminated throughdiversification
The second risk component ndash unsystematic risk (non-market risk) ndashcan be diversified away and it therefore will not be compensated (bythe market)
The Capital Asset PricingModel (CAPM)
The Stock Market 9
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The Market Model
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The Market ModelThe return on a common stock is assumed to be related to the return on a market index (eg FTSE100) in the following manner
(4)
where riI = return on security i for some given periodrI = return on market index for the same periodαiI = intercept termβiI = slope termεiI = random error term
iIIiIiIi rr ε+β+α=
The Stock Market 11
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The International CAPM
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
International CAPME(ri ndash rh) = γ1Cov(rirw) + γ2Cov(ri ) (1)
ri return on security irw return on world market portfoliorh interest rate on domestic bonds
relative change of exchange rateγ1 and γ2 prices of the respective covariance risks
Problem with (1)γ1 and γ2 must be determined somehow
e
The Stock Market
amp
eamp
13
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
International CAPMrw and interest rate on foreign bonds are used as benchmarks
E(rw ndash rh) == (2)
+ rf ndash rh == (3)
+ rf expected return on foreign bonds (denominated in domesticcurrency)
The Stock Market
)eCov(rγ)rCov(rγ w2
ww1 amp+
)(eE amp)(eE amp
)e(ampE )eeCov(γ)reCov(γ 2w
1 ampampamp +)eVar(γ)reCov(γ 2
w1 ampamp +
)eCov(rγ)Var(rγ w2
w1 amp+
)e(ampE
14
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
International CAPMAssumptionfrom (2) and (3) resultrarr
(4)
(5)
(4) and (5) in (1)
The Stock Market
0)reCov( w =amp
)Var(rr)E(rγ w
hw
1minus
=
)eVar(rr)eE(γ
hf
2 ampamp minus+
=
15
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
International CAPM
(6)
β1 and β2 (sensitivity measures ) can be estimated as follows
ut ~ (0 σ2)
The Stock Market
)eCov(r)eVar(
)rreE()rCov(r)Var(r)rE(r)rE(r i
hfw
iw
hwh
i ampamp
ampsdot
minus++sdot
minus=minus
)rreE()eVar(
)eCov(r)rE(r)Var(r
)rCov(r hfihww
wi minus+sdot+minussdot= amp
ampamp
)rreE(β)rE(rβ hf2i
hw1i minus+sdot+minussdot= amp
t2iw1ii ueβrβαr +sdot+sdot+= amp
16
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Technique employedCointegration Approach
SPit = α + βDAXt + ut (requirement α=0 β=1)
Eight Eastern European countries are considered ie Poland Czech Republic Slovenia and Hungary Estonia Lithuania Latvia and the Slovak Republic
The benchmark market is the German stock market (DAX is used as a proxy)
Monthly data are used covering the period from March 1995 to August 2008 except for Estonia (with the starting point August 1996) Lithuania (with the starting point February 2000) and Latvia (with the starting point March 2000)
17
Stock Market Integrationin Eastern Europe
The Stock Market
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
18
Stock Market Integrationin Eastern Europe
ytt00t zxbay ++=
xtt11t zybax ++=
(1)
(2)
yt
yn
1jjtyj
xn
1jjtxj
y1-tz
1t001tyy0t uyaxa)xbay(y +sum Δ+sum Δ+minusminusγminusγ=Δ
=minus
=minus
=
minusminus 444 3444 21
xt
n
1jjtyj
n
1jjtxj
z
1t001txx0t uΔybΔxb)xba(yγγΔx
yx
y1t
+++minusminus+= sumsum=
minus=
minus
=
minusminus
minus
444 3444 21
(3)
(4)
Cointegration Approach
The Stock Market
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
(5)
(6)
(trace-test)
tptp2t21t1t UYAYAYAY
19
Stock Market Integrationin Eastern Europe
++++= minusminusminus
t1pt
1p2t
21t
11tt UYAYAYAYY +Δ++Δ+Δ+Πminus=Δ +minusminusminusminusminus
summinus=Π=
p
1jjAI
1p 2 1j AAp
1jii
j minus=summinus=
+=
sum λminus=+=
k
1rii )ˆ1ln()r(Tr
The Stock Market
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
20
Stock Market Integrationin Eastern Europe
Series Germany-Czech Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 631767 154947 06580 At most 1 06407 38415 04235 Series Germany-Estonia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 143109 154947 00748 At most 1 31338 38415 00767 Series Germany-Hungary Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 169329 154947 00302 At most 1 28928 38415 00890 Series Germany-Latvia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 163184 154947 00375 At most 1 57756 38415 00162
The Stock Market
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
21
Stock Market Integrationin Eastern Europe
Series Germany-Lithuania Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 167550 154947 00322 At most 1 47125 38415 00299 Series Germany-Poland Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 118812 154947 01627 At most 1 25319 38415 01116 Series Germany-Slovak Rep Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 64957 154947 06369 At most 1 00518 38415 08200 Series Germany-Slovenia Hypothesized No of CE(s) Trace Statistic 005 Critical Value ProbNone 42741 154947 08802 At most 1 02412 38415 06233 MacKinnon-Haug-Michelis (1999) p-values
The Stock Market
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Result
Only the Hungarian stock market index and the German stock market index are cointegrated The other stock market indices are not cointegrated with the German stock market index
22
Stock Market Integrationin Eastern Europe
The Stock Market
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
23
Stock Market Integrationin Eastern Europe - Results
Country Constant Beta Adjusted R2 Theta Adjusted R2
Czech Rep )00380(
00290 )00730(
54860 05486 )07150(
68550 03773
Estonia )00072(
00116 )01326(
05854 01132 - -
Hungary )00047(
00125 )00904(
08527 03521 )00636(
08453 05397
Latvia )00072(
00174 )01375(
02933 00336 )00731(
01915 00477
Lithuania (00051)
00146 )00970(
03692 01157 01049(
03336 00619
Poland )00044(
00069 )00851(
06966 02897 )00583(
04541 02847
Slovak Rep )00045(
00076 )00849(
01299- 00082 )00517(
05601 04367
Slovenia )00046(
00091 )00874(
02005 00256 )00241(
00184 0
France
)00016(00002-
)00298(07869 08120
)01067(16385 06103
Portugal )00028(
00005- )00530(
07537 05539 )01067(
13171 05024
Significance at 1 level 5 level and 10 level respectively
The Stock Market
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
24
Stock Market Integrationin Eastern Europe
Czech Republic
-01
01
03
05
07
09
11
13
15
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Hungary
-010103050709111315
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Poland
00
02
04
06
08
10
12
14
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07 Slovenia
-02
00
02
04
06
08
10
12
97M
07
98M
07
99M
07
00M
07
01M
07
02M
07
03M
07
04M
07
05M
07
06M
07
07M
07
08M
07
09M
07
Time-varying beta
The Stock Market
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 26
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 27
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 28
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 29
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 30
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 31
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 32
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Stock Market Integration in Europe
The Stock Market 33
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Bond Market (Integration)
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Introduction
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Bonds are issued by governments or by firmsIf issued by the government or government agencies the bonds are called government bonds
If issued by firms (corporations) they are called corporate bonds
Bonds are traded in securities markets this distinguishes from bank debt ndash claims held by banks cannot in general be sold to a third party
Bonds are rated for their default risk (the risk that the issuer of the bond will not pay back the full amount promised by the bond)
A lower rating typically implies that the bond has to pay a higher interest rate or else investors will not buy it
Introduction
The Bond Market 36
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The difference between the interest rate paid on a given bond and the interest rate paid on the bond with the highest (best) rating is called the risk premium associated with the given bond
Bonds with high default risk are sometimes called junk bonds
Bonds that promise a single payment at maturity are called discount bonds The single payment is called the face value of the bond
Introduction
The Bond Market 37
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Introduction
The Bond Market 38
Interest Rates (in )
2
3
4
5
6
7
8
9
10
11
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Germany Poland SloveniaHungary Czech Rep
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Introduction
The Bond Market 39
Interest Rate Spreads (10y bonds in )
-1
1
2
3
4
5
6
7
8
9
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Poland Slovenia Hungary Czech Rep
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Introduction
The Bond Market 40
Interest Rate Spreads (10y bonds in )
-1
2
4
6
8
10
12
M1
01
M1
02
M1
03
M1
04
M1
05
M1
06
M1
07
M1
08
M1
09
M1
10
Lithuania Latvia Estonia Slovak Rep
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Bonds that promise multiple payments before maturity and one payment at maturity are called coupon bonds
The payments before maturity are called coupon payments
The final payment is called the face value of the bond
The ratio of coupon payments to the face value is called the coupon rate
The current yield is the ratio of the coupon payment to the price of the bond
Introduction
The Bond Market 41
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Example
A bond with coupon payments of $5 each year a face value of $100 and a price of $80 has a coupon rate of 5 and a current yield of 580 = 00625 = 625
Introduction
The Bond Market 42
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Bonds with a maturity of up to 1 year are called Treasury bills or T-bills They are discount bonds making only one payment at maturity
Bonds with a maturity of 1 to 10 years when they are issued are called Treasury bonds Treasury bonds are coupon bonds
There are also other types of bonds
Indexed bondsBonds that promise payments adjusted for inflation rather than fixed nominal payments
Instead of promising to pay say 100 dollars in a year a 1-year indexed bond promises to pay 100(1 + π) dollars π is the rate of inflation
Introduction
The Bond Market 43
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Bonds differ in two basic dimensions Default riskMaturity the length of time over which the bond promises to make payments to the holder of the bond (1 year 5 years 10 years)
Bonds of different maturities each have a price and an associated interest rate called the yield to maturity or simply the yield
Yields on bonds with a short maturity typically a year or less are called short-term interest rates Yields on bonds with longer maturity are called long-term interest rates
Introduction
The Bond Market 44
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Prices Yields andInterest Rates
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Because we value the cash paid to us tomorrow less than the cash that is in our pocket today we will discount those future receipts of cash that a bond entitles us to
The yield on a bond is simply the rate of return that when used to discount future cash receipts makes their total value equal to the current market price of the bond
Prices Yields andInterest Rates
The Bond Market 46
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
where C is the regular annual coupon payment on the bond and F is the face value
The bond matures n years from now
Prices Yields andInterest Rates
The Bond Market
nnB iF
iC
iC
iCP
)1()1(
)1(1 2 ++
+++
++
+=
47
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Prices Yields andInterest Rates
The Bond Market
Yield to maturity
Bond Price
48
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
The yield to maturity is a measure of the average rate of return a buyer will earn on a bond if the buyer holds it to maturity
Prices Yields andInterest Rates
The Bond Market 49
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Yield Curves
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Interest RatesInterest Rates on German Government Bonds with Different Maturities (M Q Y)
0
1
2
3
4
5
6
7
8
9
10
Jun
86
Jun
88
Jun
90
Jun
92
Jun
94
Jun
96
Jun
98
Jun
00
Jun
02
Jun
04
Jun
06
1 year maturity 5 years maturity 10 years maturity
Data Source Deutsche Bundesbank
Interest Rate ()
51The Bond Market
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Yield Curves
Upward Sloping Flat Downward Sloping Yield
Maturity Maturity Maturity
Yield Yield
The Bond Market 52
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
A plot of the yields on default-free government bonds with differing terms to maturity is called a yield curve and it represents the term structure of interest rates for the government bonds
Typically the yield curve is upward sloping but at times it is flat or downward sloping
Yield Curves
The Bond Market 53
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Yield Curve (Germany)
Upward Sloping (June 1997)
0
1
2
3
4
5
6
7
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
54The Bond Market
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Yield Curve (Germany)
Flat (October 1988)
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
55The Bond Market
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Yield Curve (Germany)
Downward Sloping (February 1992)
65
7
75
8
85
9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Yield (in )
Data Source Deutsche Bundesbank Maturity
56The Bond Market
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
3
35
93m01 95m01 97m01 99m01 01m01 03m01 05m01 07m01
EU15 = 1IrelandSpainPortugalGreece
Yiel
ds (
)
Data Source Eurostat
Yie
lds
57
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Interest Rates
The Bond Market
Long-Term Interest Rates in Selected EU Countries (M Q Y)
05
1
15
2
25
01m01 03m01 05m01 07m01
EU15 = 1HUNPolandSlovakia
Yie
lds
()
Data Source Eurostat
Yie
lds
58
Thank you for your attention
59
Thank you for your attention
59