34
7.1 Swaps Chapter 7

7.1 Swaps Chapter 7. 7.2 Nature of Swaps A swap is an agreement to exchange cash flows at specified future times according to certain specified rules

Embed Size (px)

Citation preview

  • Slide 1
  • 7.1 Swaps Chapter 7
  • Slide 2
  • 7.2 Nature of Swaps A swap is an agreement to exchange cash flows at specified future times according to certain specified rules
  • Slide 3
  • 7.3 An Example of a Plain Vanilla Interest Rate Swap An agreement by Microsoft to receive 6-month LIBOR & pay a fixed rate of 5% per annum every 6 months for 3 years on a notional principal of $100 million Next slide illustrates cash flows
  • Slide 4
  • 7.4 ---------Millions of Dollars--------- LIBORFLOATINGFIXEDNet DateRateCash Flow Mar.1, 19984.2% Sept. 1, 19984.8%+2.102.500.40 Mar.1, 19995.3%+2.402.500.10 Sept. 1, 19995.5%+2.652.50+0.15 Mar.1, 20005.6%+2.752.50+0.25 Sept. 1, 20005.9%+2.802.50+0.30 Mar.1, 20016.4%+2.952.50+0.45 Cash Flows to Microsoft (See Table 7.1)
  • Slide 5
  • 7.5 Typical Uses of an Interest Rate Swap Converting a liability from fixed rate to floating rate floating rate to fixed rate Converting an investment from fixed rate to floating rate floating rate to fixed rate
  • Slide 6
  • 7.6 Intel and Microsoft (MS) Transform a Liability (Figure 7.2) IntelMS LIBOR 5% LIBOR+0.1% 5.2%
  • Slide 7
  • 7.7 Financial Institution is Involved (Figure 7.4) F.I. LIBOR LIBOR+0.1% 4.985% 5.015% 5.2% Intel MS Dealer spread =.03% evenly split
  • Slide 8
  • 7.8 Intel and Microsoft (MS) Transform an Asset (Figure 7.3) Intel MS LIBOR 5% LIBOR-0.20% 4.7%
  • Slide 9
  • 7.9 Financial Institution is Involved (See Figure 7.5) Intel F.I.MS LIBOR 4.7% 5.015%4.985% LIBOR-0.20% Dealer spread =.03 %
  • Slide 10
  • 7.10 The Comparative Advantage Argument (Table 7.4) AAACorp wants to borrow floating BBBCorp wants to borrow fixed FixedFloating AAACorp 4.0%6-month LIBOR + 0.30% BBBCorp 5.2%6-month LIBOR + 1.00%
  • Slide 11
  • 7.11 The Comparative Advantage Argument AAACorp has absolute advantage in both markets But a comparative advantage in fixed BBBCorp has comparative advantage in floating If AAA borrows fixed, the gain is 1.2% If BBB borrows floating, the gain is reduced by.7% Therefore, we have a net gain of 1.2 -.7 =.5% If the gain is split evenly, we have a gain per party of: G = (1.2 -.7)/2 =.25%
  • Slide 12
  • 7.12 Swap Design Design the swap so AAAs borrowing rate equals the comparative disadvantage (CD) rate minus the gain: LIBOR +.3 -.25 Do the same thing for BBB BBBs rate with swap: 5.2 -.25 = 4.95 Now, draw the diagram
  • Slide 13
  • 7.13 The Swap (Figure 7.6) AAA BBB LIBOR LIBOR+1% 3.95% 4% The floating rate leg should be LIBOR
  • Slide 14
  • 7.14 Swap Design with FI Adjust swap gain for dealer spread Suppose dealer spread =.04% Then gain: G = (1.2 -.7 -.04)/2 =.23% AAAs rate with swap: LIBOR +.3 -.23 = LIBOR +.07 BBBs rate with swap: 5.2 -.23 = 4.97% Draw swap diagram
  • Slide 15
  • 7.15 The Swap when a Financial Institution is Involved (Figure 7.7) AAA F.I.BBB 4% LIBOR LIBOR+1% 3.93% 3.97% Check that dealer spread =.04%
  • Slide 16
  • 7.16 Criticism of the Comparative Advantage Argument The 4.0% and 5.2% rates available to AAACorp and BBBCorp in fixed rate markets are 5-year rates The LIBOR+0.3% and LIBOR+1% rates available in the floating rate market are six- month rates BBBCorps fixed rate depends on the spread above LIBOR it borrows at in the future
  • Slide 17
  • 7.17 Valuation of an Interest Rate Swap Interest rate swaps can be valued as the difference between the value of a fixed-rate bond and the value of a floating-rate bond
  • Slide 18
  • 7.18 Valuation in Terms of Bonds The fixed rate bond is valued in the usual way The floating rate bond is valued by noting that it is worth par immediately after the next payment date
  • Slide 19
  • 7.19 An Example of a Currency Swap An agreement to pay 5% on a sterling principal of 10,000,000 & receive 6% on a US$ principal of $18,000,000 every year for 5 years
  • Slide 20
  • 7.20 Exchange of Principal In an interest rate swap the principal is not exchanged In a currency swap the principal is exchanged at the beginning and the end of the swap
  • Slide 21
  • 7.21 Three Cash Flow Components t = 0: exchange principal based upon current exchange rates Pay: $18 M Rcv: 10 M t = 1, 2, 3, 4, 5: Pay:.05x10 = .5 M Rcv:.06x18 = $1.08 M t = 5: Pay: 10 M Rcv: $ 18 M
  • Slide 22
  • 7.22 The Cash Flows (Table 7.5) Years DollarsPounds $ ------millions------ 0 18.00 +10.00 1 +1.08 .50 2 +1.08 .50 3 +1.08 .50 4 +1.08 .50 5+19.08 -10.50
  • Slide 23
  • 7.23 Typical Uses of a Currency Swap Conversion from a liability in one currency to a liability in another currency Conversion from an investment in one currency to an investment in another currency
  • Slide 24
  • 7.24 Comparative Advantage Arguments for Currency Swaps (Table 7.6) General Electric wants to borrow AUD Qantas wants to borrow USD USDAUD General Motors 5.0% 7.6% Qantas 7.0% 8.0%
  • Slide 25
  • 7.25 Comparative Advantage GE has absolute advantage in both markets But GE has comparative advantage in dollars Qantas has comparative advantage in Australian dollars So GE should borrow dollars and Qantas Australian dollars Then swap cash flows to earn gain from comparative advantage
  • Slide 26
  • 7.26 Comparative Advantage Gain per party: G = (2 -.4)/2 =.8% GEs rate with swap: 7.6 -.8 = AUD 6.8% Qantas rate with swap: 7 -.8 = USD 6.2%
  • Slide 27
  • 7.27 GE Qantas AUD 6.8% USD 5% AUD 8.0% USD 5% Qantas Assumes Exchange Rate Risk
  • Slide 28
  • 7.28 GM Qantas AUD 8.0% USD 5% AUD 8% USD 6.2% GE Assumes Exchange Rate Risk
  • Slide 29
  • 7.29 FI Assumes Exchange Rate Risk Adjust swap gain for dealer spread Suppose dealer spread =.2% Then gain: Gain per party: G = (2 -.4 -.2)/2 =.7% GEs rate with swap: 7. 6 -.7 = AUD 6.9% Qantas rate with swap: 7 -.7 = USD 6.3%
  • Slide 30
  • 7.30 GE F.I.Q USD 5% AUD 6.9% AUD 8% USD 5% USD 6.3% Check that dealer spread =.2% Pay: 13.0 11.9 = AUD 1.1% Rcv: 6.3 5.0 = USD 1.3% FI Assumes Exchange Rate Risk
  • Slide 31
  • 7.31 Valuation of Currency Swaps Like interest rate swaps, currency swaps can be valued either as the difference between 2 bonds or as a portfolio of forward contracts
  • Slide 32
  • 7.32 Swaps & Forwards A swap can be regarded as a convenient way of packaging forward contracts The plain vanilla interest rate swap in our example consisted of 6 Fraps The fixed for fixed currency swap in our example consisted of a cash transaction & 5 forward contracts
  • Slide 33
  • 7.33 Swaps & Forwards (continued) The value of the swap is the sum of the values of the forward contracts underlying the swap Swaps are normally at the money initially This means that it costs nothing to enter into a swap It does not mean that each forward contract underlying a swap is at the money initially
  • Slide 34
  • 7.34 Credit Risk A swap is worth zero to a company initially At a future time its value is liable to be either positive or negative The company has credit risk exposure only when its value is positive