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Chapter 14
Bonds and Long-Term Notes
Long-Term Liabilities2
Topics of Long-Term Liabilities Issuance of bonds (at a premium or discount) Fair value option of bonds Issuance of bonds between interest payment
dates Extinguishment of debt Bonds issued with detachable stock warrants Convertible Bonds (including Induced
Conversion) Long-term Notes Payable Troubled Debt Restructuring
Long-Term Liabilities3
Long-Term Liabilities Present value concept:
Present value of $1 is the value today of $1 to be received at some future date, given a specific interest rate.
Example:1. What is the present value of $100 to be received
a year from now given an annual market interest rate of 10%?
P.V. (1+10%) = $100P.V. = $100/1.1
= $100 0.9091 = $90.91
Long-Term Liabilities4
Long-Term Liabilities
2. What is the present value of $100 to be received two years from now given an annual interest rate of 10%?
P.V (1+10%) (1+10%) = $100P.V (1+10%)2 = $100P.V. 1.21 = $100P.V. = $100 / 1.21
= $100 0.8264= $82.64
Long-Term Liabilities5
Annuity: Receiving (or paying)a constant amount of
money at the end of each period (equal time internal) for a given number of periods
$100 $100 $100 $100 $100
1 year Receiving $100 every year for the following 5
years. (period = 1 year) (starting a year from now)
Long-Term Liabilities6
Present Value (P.V.) of an Annuity:
1. Using the example above given a10% Interest rate:
P.V. of the first $100 = $100 0.9091 = $90.91
P.V. of the second $100 = $100 0.8264 = $82.64
P.V. of the third $100 = $100 0.7513 = $75.13
P.V. of the fourth $100 = $100 0.6830 = $68.30
P.V. of the fifth $100 = $100 0.6209 = $62.09
Total 3.7907 $379.07
Long-Term Liabilities7
Present Value (P.V.) of an Annuity (contd.):
The P.V. of $100 annuity receiving every year for the following 5 years, starting a year from now =>
$100 * 3.7907 = $379.07 The P.V. of this annuity can be
obtained from an annuity table under 10%, 5 periods.
Long-Term Liabilities8
Present Value (P.V.) of an Annuity (contd.):2. What is the P.V. of $300 annuity receiving
every 6 months for the following 30 months, starting 6 months from now ? The annual interest rate is 12%.
P.V. = $300 x 4.2124 = 1,263.7
Annuity Table, 5 periods at 6%
(30/6=5) (12%/2=6%)
Long-Term Liabilities9
Corporate Bonds:
Bonds are securities issued by a corporation to borrow money from the public (many lenders).
This is a source to raise funds. The corporation will receive cash when
bonds are issued.
Long-Term Liabilities10
Corporate Bonds:
The face value of the bonds must be repaid to the bondholders on the maturity date of the bonds.
Also, the bond issuers will pay interests to the bondholders periodically (i.e., semi-annually).
Long-Term Liabilities11
Bonds Payable
Long-Term Liability: if bonds mature in more than one year.
Short-Term Liability: if bonds mature in less than one year
Long-Term Liabilities12
Bond Indenture
Bond Indenture is an agreement between the bond issuer and investors stating the following:Interest rate of bonds;Interest Payment dates;The maturity date of bonds; The type of bonds: callable, convertible,..
The indenture is held by a trustee appointed by the issuing firm to represent the rights of the bondholders.
Bond Covenant
Bond Covenant is a contractual provision in a bond indenture (source: financial dictionary).
Financial covenant: requiring issuers to maintain financial ratios such as debt/equity ratio and the interest coverage ratio at a certain level.
Non-financial covenant: requiring the disclosure of certain financial information.
Long-Term Liabilities13
Long-Term Liabilities14
The Process of Bond Issuance
1. Receive the approval from the stockholders and regulatory authorities (i.e., the SEC).
2. Print bond certificates and write indenture (to set the terms of bond issue such as the stated interest rate, the interest payment date and the maturity date…)
3. Make a public announcement of its intent to sell the bonds on a particular date.
Long-Term Liabilities15
The Process of Bond Issuance (cont.)
4. Negotiate the appropriate selling price with the underwriters based on the terms of bond issue (i.e., the stated inters rate), the general bond market conditions, the risk of the bonds and the expected state of the economy.
Long-Term Liabilities16
The Process of Bond Issuance (cont.)
5. The underwriter will determine the effective interest rate (yield) and thus, the selling price that it believes best reflects the current market condition and the risk the bond for a particular bond issue.
6. The underwriter will either purchase the bonds from the issuing company and resell them to the public or sell these bonds for a commission.
Long-Term Liabilities17
The Process of Bond Issuance (cont.)
Companies can sell the entire issue of bonds to an underwriter or sell it to a single investor (i.e., a pension fund) (referred to as a private placement).
Any expenditures connected with a bond issue (legal fee, printing costs, accounting fee, underwriter's charges …) should be deferred and amortized as expense over the life of the bond using a straight line method.
Long-Term Liabilities18
The Process of Bond Issuance (Contd.)
The yield is the market rate (effective rate) for the bond issue.
The yield is often different from the stated interest rate as a result of :
1) different opinion between the underwriter and the company, or
2) a change in the economic conditions between the date the terms were set and the date the bonds were issued.
Long-Term Liabilities19
The Process of Bond Issuance (Contd.)
Three possible outcomes of bond issuance:1. Stated rate = effective rate
=> the bonds are sold at par
2. Stated rate < effective rate => bonds are sold at discount
3. Stated rate > effective rate => bonds are sold at premium
Long-Term Liabilities20
Units of bonds:
At $1,000 or $5,000 denominations
Price of bonds: stated at 100s
Example: $1,000 issued at 98
The issuing price is $1,000 98 = $980
Long-Term Liabilities21
Types of bonds:
On the basis whether the bonds are secured: Secured Bonds Unsecured Bonds (Debenture bonds)
On the basis of how the interests are paid: Registered Bonds Coupon Bonds
Long-Term Liabilities22
Types of bonds:
On the basis of how the bonds mature: Term Bonds Serial Bonds Convertible Bonds Callable Bonds
Asset-Backed Securities and Securitization of Assets
Asset-backed securities: securities (i.e., commercial paper, bonds) issued based on (or backed by) certain assets (i.e., mortgage receivables).
A conduit can be set up by a bank as an independent entity to take the title of financial assets (i.e., mortgage or credit card receivables) of companies.
Long-Term Liabilities23
Asset-Backed Securities and Securitization of Assets (contd.) The conduit issues securities (i.e.,
commercial paper) backed by those financial assets.
The cash generated from the sale of asset-backed securities goes back to the companies who put the assets into conduits. Source: ’Conduits’ in Need of a Fix by D. Reilly and C. Mollenkamp, WSJ , 8/30/2007
As a result, those financial assets are securitized.
Long-Term Liabilities24
Bond Ratings (Source: BestVest Investments, Ltd)
Long-Term Liabilities25
Moody's
S & P Meaning
AaaAAA
Best quality, with the smallest amount of risk. Issuers are extremely stable and dependable.
Aa AAHigh quality, with a slightly higher degree of long-term risk.
A AHigh to medium quality, with many strong attributes but with some risk exposure to changing economic conditions.
Baa BBBMedium quality, currently adequate but with significant risk possible over the long term.
Bond Ratings (contd.)
Ba BBSome speculative element, with moderate security but not well safeguarded for the long haul.
B BAble to pay now but with a significant risk of default in the future.
Caa CCC Poor quality with a clear danger of default.
Ca CC High speculative nature, often in or near default.
C CLowest rated, poor prospects of payment going forward but may be current in payments.
-- D In default.Long-Term Liabilities
26
Long-Term Liabilities27
Determination of Bond Price
The obligations of bond issuers:
(1) to pay the principal when bondmatures on the maturity date.
(2) to pay interests periodically (i.e., semiannually) over the life the bond.
Present value of a bond: the present value of future net cash flows related to the bond using the effective interest rate.
Long-Term Liabilities28
Determination of Bond Price (Contd.)
Bond Price = the present value of the bond.
Present value of bonds => The sum of (1) the present value of the principal plus(2) the present value of the periodic
interests using the effective interest rate (not the
stated interest rate) as the discount rate.
Long-Term Liabilities29
Determination of Bond Price (Contd.)
Discount rate = effective rate = market rate =yield This rate depends on the riskiness
of the issuer, the general state of the economy, the duration of the bond, etc.
In general, a higher risk will result in a higher effective rate.
Long-Term Liabilities30
Determination of Bond Price (Contd.)
Bonds Issued at Face ValueWhen the stated interest rate equals the effective interest rate, the bond price will equal the face value.
Long-Term Liabilities31
Determination of Bond Price (Contd.) Example 1: Page company issued a 5-year term bond with a
face amount $100,000 and a stated annual interest rate of 10%.
Interests are paid semiannually.Assume that the annual effective interest rate
demanded by investors for bonds of this level of risk is also 10%, what is the present value of the bond (the bond price)?
Long-Term Liabilities32
Determination of Bond Price (Contd.)
(1)P.V. of the principal ($100,000 mature in 5 years, discount rate 5%, 10 periods):
The annual effective rate = 10% (10%/2= 5%)
$100,000 0.6139 = $61,390
(2)P.V. of the interests received semiannually for 10 periods (annuity, discount rate = 5%, 10 periods)
$5,000 7.7217 = 38,608.5annuity table, 5%, 10periods
Long-Term Liabilities33
Determination of Bond Price (Contd.)
The P.V. of the bond = the sum of (1) and (2)
(1) + (2)
= $61,390 + 38,608.5 = $100,000
Note: The semiannual interest paid
= $100,000 5% = $5,000
the annual stated interest rate, not the effective rate!!
Long-Term Liabilities34
Determination of Bond Price (Contd.)
Therefore, when the stated rate equals the effective rate (the discount rate), the bond price (the P.V. of bonds) equals the face value.
J.E. (when bonds are issued at face value)Cash 100,000
Bonds payable 100,000
Long-Term Liabilities35
Bond Issued at A Discount
When the stated interest rate is less than the effective interest rate, the present value of a bond will be less than its face value.
Example 2: Use the same example as on page 28, except that the effective rate is 12%, rather than 10% to compute the present value of the bond.
Long-Term Liabilities36
Bond Issued at A Discount (Contd.) Since the interests are paid semiannually, the
discount rate is 6% with 10 periods.(1)P.V. of the principal = $100,000 .5584 = $55,840
P.V. table, 6%,
10periods
(2) P.V. of the semiannual interest:$5,000 7.3601 = 36,800.5
Annuity table, 6%, 10periods
P.V. of the bond = (1) + (2)$55,840 + 36,800.5 = $92,640.5
Long-Term Liabilities37
Bond Issued at A Discount (Contd.)
$92,640.5 < $100,000 (Discount = $7359.5)P.V. of bond < Face vale=> when the stated rate is less than the effective
rate (i.e., 10% < 12%), the P.V. of the bond will be less than the face value.
J.E. (when bonds are issued at discount)Cash 92,640.5Discount on Bonds 7,359.5
Bonds Payable 100,000
Long-Term Liabilities38
Bond Issued at A Discount (Contd.) Question:
What is the total interest expense of this bond (issued at Discount)?
Cash payment by the issuer ($150,000)
Cash received from issuing the bond (at Discount) 92,640.5
Interest Expense $57,359.50*Discount would increase the actual interest expense and needs to be amortized
over the life of the bond.*Interest Expense = interest payment + Discount
= $50,000 + 7,359.50 = $57,359.50
Long-Term Liabilities39
Bond Issued at A Premium When the stated interest rate is higher than
the effective interest rate demanded by the investors for the level of the risk of the bonds, the present value of the bonds would be greater than its face value.
Example 3: use the same example as on page 26, except that the effective interest rate is 8%. (the stated interest rate is still at 10%)
Long-Term Liabilities40
Bond Issued at A Premium (Contd.)
Compute the P.V. of the bond:
Since the interests are paid semiannually, the discount rate would be 4% and the discounting periods are 10 periods.
(1) P.V. of the principal:
$100,000 x 0.6756 = $67,560
Long-Term Liabilities41
Bond Issued at A Premium (Contd.)
(2) P.V. of the semiannual interest:$5,000 x 8.1109 = $40,554.5
P.V. of the bond = (1) + (2)= $67,560 + 40,554.5 = $108,114.5$108,114.5 > $100,000 (Premium = 8,114.5)
Long-Term Liabilities42
Bond Issued at A Premium (Contd.)
Example 3J.E. (When Bonds are issued at Premium)Cash 108,114.5
Bonds Payable 100,000Premium on Bonds Payable 8,114.50
Long-Term Liabilities43
Bond Issued at A Premium (Contd.)
Interest Expense= interest payments - Premium
= $5,000 x 10 - 8,114.5
= $41,885.5
(Premium will decrease the interest expense.)
Long-Term Liabilities44
Bond Issued at A Premium (Contd.)
A premium account: an adjunct account to the bonds payable account and is shown as an addition to the bonds payable account.
A discount account: a contra account to the bonds payable and is shown as a deduction from the bonds payable.
Long-Term Liabilities45
Bond Issued at A Premium (Contd.)
Book value (carrying value) of the bond issued: the face value minus any unamortized discounts or plus any unamortized premiums.
If an effective interest method is used to amortize the discount (or premium), the book value equals the present value when the effective interest rate remains unchanged.
Long-Term Liabilities46
Accounting for Bonds Payable -Bonds Are Issued at Par
The information of example 1 on page 28 is summarized below with some additional information:Issuing Company: Page CompanyStated Interest: 10% (annual)Effective Interest: 10% (annual)Date of Issuance: 2/1/x2Date of Maturity: 2/1/x7Interest Payment Dates: 2/1 and 8/1Face Value: $100,000P.V. of the Bond: $100,000
Long-Term Liabilities47
Accounting for Bonds Payable - Bonds Are Issued at Par (Contd.) J.E.
2/1/x2 Cash 100,000B/P 100,000
8/1/x2 Interest Expense 5,000Cash 5,000
12/31/x2Adjusting entry for 5-month interest expense occurred but not paid. The interest payment dates are 2/1 and 8/1).Interest Expense 4,167
Interest payable 4,167
Long-Term Liabilities48
Accounting for Bonds Payable - Bonds Are Issued at Par (Contd.)
(Reversing Entry)1/1/x3 Interest Payable 4,167
Interest Expense 4,1672/1/x3 Interest Expense 5,000
Cash 5,000(If no reversing entry recorded on 1/1/x3, the J.E. of 2/1/x3 would be:Interest Expense 833Interest Payable 4,167
Cash 5,000
Long-Term Liabilities49
Accounting for Bonds Payable - Bonds Are Issued at Par (Contd.)
8/1/x3 Interest Expense 5,000
Cash 5,000
12/31/x3
Adjusting entry for the 5-month unrecorded interest
expense
Interest Expense 4,167
Interest payable 4,167
Long-Term Liabilities50
Accounting for Bonds Payable - Bonds Are Issued at Par (Contd.) 1/1/x4 Reversing Entry 2/1/x4 (Interest payment) 8/1/x4 (Interest payment) 12/31/x4 (Adjusting) 1/1/x5 (Reversing)
: 12/31/x6 (Adjusting) 1/1/x7 (Reversing) 2/1/x7 Interest Expense 5,000
Cash 5,000Bonds Payable 100,000
cash 100,000(Bond Retirements at Maturity)
Long-Term Liabilities51
Accounting for Bonds Payable - Bonds Are Issued at A Discount
Information of example 2 is summarized below with some additional information:
Stated Interest = 10% (annual) Effective Interest = 12% (annual) Date of Issuance = 1/1/x2 (sold on 1/1/x2) Date of Maturity = 1/1/x7 Interest Payment Dates = 6/30 and 12/31 Face Value = $100,000 P.V. of the Bond = 92,640.50 (as computed
earlier)
Long-Term Liabilities52
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
Discount = $100,000 - 92,640.5 = 7,359.50 This discount would increase the interest expense
and would be amortized over the life of the bond -5 year, 10 periods)
Amortization methods:1. Straight-Line: the Discount would be amortized
equally over the life of the bond.i.e., Amortization in 10 periods: $7349.5010 = $735.95Therefore, the interest expense every period is
$5,000 + 7,35.95 = $5,735.95Semiannual the amortized DiscountInterest Payment
Long-Term Liabilities53
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
Total Interest expense = 5,735.95 x 10 = $5,7359.5 = 50,000 + 7,359.5
Int. payment Discount
2. Effective Interest MethodInterest Expense = P.V. of Bond effective rate
Long-Term Liabilities54
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
J.E (Bonds are issued at a discount and use the straight-line method to amortize the discount)
1/1/x2 Cash 92640.50 Discount on B/P 7359.50
B/P 100,0006/30/x2 Interest Expense 5,736
Cash 5000*Discount on B/P 735.95**
12/31/x2 Interest Expense 5,736Cash 5,000Discount on B/P 735.95
Long-Term Liabilities55
Accounting for Bonds Payable -Bonds Are Issued at A Discount (Contd.)
* Interest Payment = semiannual interest = $100,000 x 10% x 1/2** Amortization of Discount over 10 periods (7359.50/10)***Interest Expense = Interest Payment Amortized Discount.
6/30/x3 Same J.E. as recorded on 6/30/x212/31/x3 Same J.E. as recorded on 6/30/x26/30/x4 Same J.E. as recorded on 6/30/x212/31/x4 Same J.E. as recorded on 6/30/x26/30/x5 Same J.E. as recorded on 6/30/x212/31/x5 Same J.E. as recorded on 6/30/x26/30/x6 Same J.E. as recorded on 6/30/x212/31/x6 Same J.E. as recorded on 6/30/x2
Long-Term Liabilities56
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
12/31/x6 Interest Expense 5,736Cash 5,000Discount on Bonds Payable 735.95
1/1/x7 B/P 100,000Cash 100,000
Discount on Bonds
1/1/x2 7,359.50 735.95 6/30/x2
735.95 12/31/x2
735.95 6/30/x3
735.95 12/31/x6
Interest Expense from 1/1/x2 to 12/31/x6
= $ 5,735.95 * 10
= $5,7,359.50
= $50,000 + 7,359.5
Interest payments
Discount on Bonds
Long-Term Liabilities57
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
J.E. for bonds issued at a discount and use the effective interest method to amortize the discount: using the example on p.48.
Interest Payment = $100,000 * 5%= $5,000
Interest Expense = P.V. of Bond at the Beginning of the period Effective Rate
Amortized Discount = Interest Expense - Interest payment
Long-Term Liabilities58
Effective Interest Amortization Table-bond are issued at a discount
1 2 3 4 5 6
PeriodP.V at Beg. Of Period
Interest Expense (1) * 6%
Cash (Interst)
payments
Amortized Discount (2) - (3)
Unamortized Discount
(5)-(4)
B.V. at end of Period
$100,000 - (5)
0 - - - - $7,359 $92,6411 92,641 $5,558 $5,000 $558 $6,801 93,1992 93,199 5,592 $5,000 592 6,209 93,7913 93,791 5,627 $5,000 627 5,582 94,4184 94,418 5,665 $5,000 665 4,917 95,0835 95,083 5,704 $5,000 704 4,213 95,7876 95,787 5,747 $5,000 747 3,466 96,5147 96,534 5,792 $5,000 792 2,674 97,3268 97,326 5,840 $5,000 840 1,834 98,1669 98,166 5,890 $5,000 890 944 99,05610 99,056 5,944 $5,000 944 - 100,000
Total $57,359 $50,000 7,359
Long-Term Liabilities59
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
J.E :1/1/x2 Cash 92,641
Discount on B/P 7,359 B/P 100,0006/30/x2 Interest Expense 5,558(period 1) Cash 5,000
Discount on B/P 55812/31/x2 Interest Expense 5,592(period 2) Cash 5,000
Discount on B/P 592
Long-Term Liabilities60
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
6/30/x3 Interest Expense 5,672Cash 5,000Discount on B/ P 672
::
6/30/x6 Interest Expense 5,890Cash 5,000Discount on B/P 890
12/31/x6 Interest Expense 5,944Cash 5,000Discount on B/P 944
1/1/x7 B/P 100,000Cash 100,000
Long-Term Liabilities61
Accounting for Bonds Payable - Bonds Are Issued at A Discount (Contd.)
Discount on Bonds Payable
1/1/x2 7,359 558…6/30/x2
592…12/31/x2
672…6/30/x3
890…6/30/x6
944…12/31/x6
0
Interest Expense over 10 periods =>
Period 1 $5,558
Period 2 $5,592
period 3 $5,627
Period 9 $ 5,890
Period 10 $ 5,944
$57,359
$57360= $50,000 + 7,359
Long-Term Liabilities62
Accounting for Bonds Payable (Contd.)
APB Opinion 21 requires the use of the effective interest method for the amortization of premium or discount when two amortization methods generate significant different result.
APB opinion 21 also requires the separate recording of premiums and discounts.
Book Value vs. Present Value of Bonds Present Value (PV) of a bond =
PV of face + PV of interest payments All PVs are discounted at the effective
interest rate, not at the stated interest rate. Book value (BV) of a bond =
Face amount ($) - Unamortized discount (or + unamortized premium).
Long-Term Liabilities63
Book Value vs. Present Value of Bonds The effective interest method assuming a
constant effective interest rate (i.e., 6% in example 2) over the life of the bond
When the effective interest method is used to amortize the discount , the BV of bonds equals the PV of bonds calculated using the historical effective interest rate (i.e., 6% as in example 2) .
Long-Term Liabilities64
Historical Effective Interest vs. Current Effective Interest However, the effective interest rate is
usually changing from period to period during the life of a bond.
The effective interest rate would change when the factors underlying this interest rate changed (i.e., the market interest rate, the risk of the issuer, etc.).
Long-Term Liabilities65
The Fair Value Option for Bonds – SFAS No. 159 As a result, the book value of bonds, very
often, does not equal the present value of bonds using the current effective interest rate (referred to as the fair value).
Fair value of bonds: the present value of bonds calculated using the current, not the historical, effective interest rate.
SFAS 159 allows companies to have the option to report the fair value of the bond on the balance sheet.
Long-Term Liabilities66
The Fair Value Option (Contd.) This option is referred to as the fair value
option for bonds payable. The difference between the fair value of
bonds and the book value (i.e., the present value under the historical rate) is calculated at the end of each period .
This difference is reported as losses (i.e., fair value > book value) or gains (i.e., fair value < book value) in the income statement.
Long-Term Liabilities67
SFAS 159
The fair value option for financial assets and liabilities is to provide an option of reporting financial assets (i.e., investments in securities) and financial liabilities (i.e., bonds payable) at fair value.
The fair value option for financial liabilities is an optional reporting method.
Long-Term Liabilities68
SFAS 159 (contd.)
This reporting method can only be adopted at the issuance (origination) of a bond (loan).
Once the fair value option is chosen, no change to other reporting method is allowed (i.e., fair value option is an irrevocable decision).
Long-Term Liabilities69
SFAS 159 (contd.)
Companies can choose the fair value option for one, a few or all of their financial liabilities.
Pension and lease liabilities are excluded from the fair value option.
Long-Term Liabilities70
Fair Value Measurement (SFAS 157)
1.Quoted market prices in active markets for identical assets or liabilities (i.e., the market price of investments in equity securities), or
2. Quoted prices for similar assets or liabilities in markets (i.e., quoted market prices for similar buildings), or
Long-Term Liabilities71
Fair Value Measurement (contd.)
3. Applying the assumptions which market participants would also use in pricing the assets or liabilities (i.e., applying a current effective interest to derive the present value of a bond).
Note that when using this method to estimate the fair value, the impact of the fair value option on earnings should be disclosed. Source: supplement of Fair Value Option of Spiceland, etc. textbook
Long-Term Liabilities72
The Fair Value Option – An Example
• Using Example 2 on p48 (i.e., issued a 5-year term bond on 1/1/x2 with $100,000 face value, 5% stated interest , 6% effective interest and int. are paid on 6/30 and 12/31) ,the present value equals $92,641 on 1/1/x2 using 6% as the discount rate. The book value under the effective interest method (to amortize the discount) equals $93,199 on 6/30/x2 (see p58).
Note: $93,199=92,641 + 558 amor. Discount. $93,199 is also the present value of the bond on 6/30 under 6% discount rate. Long-Term Liabilities
73
The Fair Value Option – An Example (Contd.) Assumed that the effective interest rate on 6/30
reduced to 5.5% due to the decline in the primary interest rate, the present value of the bond on 6/30 using 5.5% discount rate is (i.e., the fair value of bonds on 6/30/x2:
PV of Principal = $100,000 x 0.6176=61,760 PV of int. = $5,000 x 6.9522 =34,761 Sum $96,521
Note: PV is calculated using 5.5% discount rate (not 6%) and 9 periods (not 10 periods).
Long-Term Liabilities74
The Fair Value Option – An Example (Contd.) The difference between the present value
and the book value of the bond on 6/30 =
$96,521 - $93,199 = $3,322
Journal Entry to Apply the Fair Value reporting for the bond:
6/30 Unrealized holding loss 3,322
Fair Value Adjustment 3,322
Long-Term Liabilities75
The Fair Value Option – An Example (Contd.) The reporting value of the bond under the
fair value reporting option on 6/30/x2 =
The face $ of bonds = $100,000
The unamort. Discount = ( 6,801)
the book value prior to fair value adjustment $ 93,199
Fair value adjustment 3,322
The book value after the fair value adjustment $ 96,521
Long-Term Liabilities76
The Fair Value Option – An Example (Contd.) The reported value (referred to as the
carrying value) of the bond after the fair value adjustment , $96,521, is also the fair value of the bond using the current effective interest rate, 5.5% (see p76).
Long-Term Liabilities77
Long-Term Liabilities78
Accounting for Bonds Payable -Bonds Are Issued at A Premium
Information of example 3 is summarized with some additional information:
Stated Interest Rate (annual) = 10% Effective Interest Rate (annual) = 8% Date of Issuance = 1/1/x2 (sold on 1/1/x2) Date of Maturity = 1/1/x7 Interest Payment Date = 6/30 and 12/31 Face Value = $100,000 P.V. of the Bond = $108,115 (as computed earlier)
Long-Term Liabilities79
Accounting for Bonds Payable-Bonds Are Issued at A Premium
Premium = $108,114.5 - 100,000 = $8,114.5 The premium would decrease the interest expense
and should be amortized over the life (5 years, 10 periods) of the bond.
J.E. (Amortization Method= Straight-Line)$8,114.5 / 10 = $8114.5 => $811.45 would be amortized for every period. The interest expense would be decreased by $816 every period.1/1/x2 Cash 108,114.5
B/P 100,000Premium on Bonds Payable 8,114.5
Long-Term Liabilities80
Accounting for Bonds Payable -Bonds Are Issued at A Premium
6/30/x2 Premium on Bonds Payable 811.45 Interest Expense 4,188.55
Cash 5,00012/31/x2 Premium on Bonds Payable 811.45
Interest Expense 4,188.55Cash 5,000
::
6/30/x6 Premium on Bonds Payable 811.45 Interest Expense 4,188.55
Cash 5,000
Long-Term Liabilities81
Accounting for Bonds Payable -Bonds Are Issued at A Premium
12/31/x6 Premium on Bonds Payable 811.45 Interest Expense 4,188.55
Cash 5,000
1/1/x7 B/P 100,000Cash
100,000Premium on Bonds
6/30/x2 811.45 8114.5---1/1/x2
12/31/x2 811.45
.
.
6/30/x6 811.45
12/31/x6 811.45
0
Interest Expense for 10 periods = $4188.55 x 10 = 41,885.5
41,885.5 = 50,000 - 8,114.5
Total Interest (cash) payment
Premium on Discount
Long-Term Liabilities82
Effective Interest Amortization Table-bond are issued at a premium
1 2 3 4 5 6
PeriodP.V. at Beg
of Period
Interst Expense (1) * 4%
Cash Payments 100,000 x
5%
Amortizatied Premium (3) - (2)
Unamortized Premium (5) - (4)
P.V. at End 100,000 /
(5)
0 - - - - 8,114.50 108114.51 108,114.50 4,325 5,000 675 7,440 107,4402 107,440 4,298 5,000 702 6,738 106,7383 106,738 4,270 5,000 730 6,008 106,0084 106,008 4,240 5,000 760 5,248 108,2485 103,248 4,210 5,000 790 4,458 104,4586 104,458 4,178 5,000 822 3,616 103,6367 103,636 4,145 5,000 855 2,781 102,7818 102,781 4,111 5,000 889 ,892 101,8929 101,892 4,076 5,000 924 968 100,96810 100,965 4,039 5,000 968* 0 100,000
Total 41,885.50 50,000 8114.5
Interest Expense = Cash payment - Amortized premium = 50,000 - 8114.5 = 41,885.5
* Rounding Error of $ 7 (968-961 = 7)
Long-Term Liabilities83
Accounting for Bonds Payable -Bonds Are Issued at A Premium (Effective Interest Method)
J.E 1/1/x2 Cash 108,114.5B/P 100,000Premium on Bonds Payable 8114.5
6/30/x2 Interest Expense 4,325(Period 1) Premium on Bonds Payable 675
Cash 5,00012/31/x2 Interest Expense 4,298(period 2) Premium on Bonds Payable 702
: Cash 5,000:
6/30/x3Period3
Long-Term Liabilities84
Accounting for Bonds Payable (Contd.)
(period 9)6/30/x6 Interest Expense 4,076
Premium on B/P 924Cash 5,000
12/31/x6 Interest Expense 4,032Premium on B/P 968
Cash 5,0001/1/x7 B/P 100,000
Cash 100,000(Retirement of Bonds at Maturity)
Long-Term Liabilities85
Accounting for Bonds Payable (Contd.)
Premium on Bonds
6/30/x2… 675 8114.5 …1/1/x2
12/31/x2 … 702
730
760
790
822
855
889
924
968
0
Interest Expense over 10 periods =>
Period $
1 4,325
2 4,298
4,270
10
41,885.50
Long-Term Liabilities86
Bond Retirements Before Maturity
Use example 2 (see p48), assume that bonds are retired at the end of period 3 for $98,000
Discount on Bonds
7,359 558…..Period 1
592…..Period 2
627…..Period 3
5,582
Unamortized at the end of period 3
BV of the Bond = 100,000 - 5,582 = 94,418
Long-Term Liabilities87
Bond Retirements Before Maturity (contd.)
B/P 100,000
Loss on Retirement of Bonds 3,582
Discount on Bonds Payable 5,582
Cash 98,000
Long-Term Liabilities88
Bond Retirements Before Maturity (contd.)
Use example 2, assume that bonds are retired on 10/1/x3 (half way through the 4th period) at 97 plus accrued interest of $2,500.
Discount on B/P
7,359 558592 Amortized Dis. For period 4627 (6 month)
3 months (665/2)
bal. 5,249.5
Long-Term Liabilities89
Bond Retirements Before Maturity (contd.)
9/30/x3 Interest Expense 2,832.5*Interest Payable 2,500 Discount on B/P 332.5
* Interest of period 4 (see p.55 Amort. Table) $5,665/2
10/1/x3 B/P 100,000Interest Payable 2,500loss 2,249.5
Cash 99,500
Dis on B/P5,249.5
Long-Term Liabilities90
Other Types of Debt Extinguishment: (skip p90-92)
Defeasance of Debt: the debtor is legally released from being the primary debtor of the debt either by law or by the creditor (i.e., the affiliate agrees to become the primary debtor for the debt).
Accounting treatment: the liability is removed from the B/S.
Long-Term Liabilities91
Other Types of Debt Extinguishment (contd.):
In-substance defeasance: the debtor places cash or other assets in an irrevocable trust to be used for satisfying a specific debt.
If the trust satisfies the following conditions, the FASB allows the company to remove the liability from its B/S:
Long-Term Liabilities92
Other Types of Debt Extinguishment:(Contd.)
1.Trust is restricted to monetary assets that are risk free to the amount, the timing and collection of interests and principal.
2.The monetary assets must provide cash flows that are similar to the timing and the amount of the scheduled interests and principal payments on the debt being extinguished.
Long-Term Liabilities93
Accounting for Bonds Sold Between Interest Payment Dates:
Policy of interest payment for bonds: Interest are always paid in full
regardless how long the bonds being held by the bondholder.
Thus, the bond issuing company collects the accrued interests in addition to the issuing price when bonds are sold between interest payment dates.
Long-Term Liabilities94
Accounting for Bonds sold Between Interest Payment Dates at Par:
Example: On 2/1/x2, Page company issued a 5-year term bond with a face amount of $100,000 and a stated interest rate of 10%. The bonds were sold on 5/1/x2 at par and interests were paid semiannually on 2/1 and 8/1.
Long-Term Liabilities95
Accounting for Bonds Sold Between Interest Payment Dates at Par:
J.E. 5/1/x2 (bond sold at par on 5/1/x2)Cash 102,500
Bonds Payable 100,000Interest Payable* 2,500
* Accrued interest of 3 months (From 2/1 ~ 5/1)
8/1/x2 Interest Payable* 2,500 Interest Expense 2,500
Cash 5,000* 100,000 x 10% x 6/12 = 5,000 (6 month interest)
Interest Expense from 5/1/x2 - 8/1/x2 => 5,000 -2,500 = 2,500
Long-Term Liabilities96
Debt Sold Between Interest Payment Dates at A Discount
Green Company issued a two-year, 8% term bonds with a maturity value of $200,000. The bonds are dated 1/1/x2 and pay $8,000 interest semiannually on 7/1 and 12/31.
They are sold on 3/1/x2 for $196,123, which includes $2,667 accrued interest from 1/1/x2 to 3/1/x2 to yield 5% interest semiannually.
Long-Term Liabilities97
Debt Sold Between Interest Payment Dates at A Discount or A Premium (Contd.)
Present value at 1/1/x2 based on semiannual yield of 5% =>
P.V. of the principle 200,000 x .8227 = 164,540
P.V. of Interest 8,000 x 3.5460 = 28,368
P.V. on 1/1/x2 $192,908
Long-Term Liabilities98
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
The P.V. of the bonds on 3/1/x2 => (PV0 + Dis. Amortized for 2 months) =>Dis. Amortized for 1/1/x2 to 6/30/x2 = 192,908x 0.05 –
8,000 = $1,645.PV on 3/1/x2 = $192,908 + 1,645 x 2/6= 192,908 + 548= 193,456
Accrued interest from 1/1/x2 to 3/1/x2: = 200,000 x 4% x 2/6=2,667
Long-Term Liabilities99
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
Therefore, the selling price on 3/1/x2 =>
193,456 + 2,667 = $196,123 (including the 2-month accrued interest)
* See the schedule on p 101
Long-Term Liabilities100
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
J.E. on 3/1/x2
Cash 196,123
Dis. On B/P 6,544**
B/P200,000
Interest Payable2,667
** (200,000 - 193,456) or (200,000 - 192,908) - 548
Long-Term Liabilities101
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
Schedule of Interest & B.V
6 Months Ending
Interest Expense
CashDiscount Amortize
dB.V
1/1/x2 - - - 192,908 7/1/x2 9,645* 8,000 1,645** 194,55312/31/x2 9,728 8,000 1,728 196,281 7/1/x3 9,814 8,000 1,814 198,09512/31/x3 9,905 8,000 1,905 20,000
* 192,908 x 0.05 = 9,645 in which $3,215 (9,645 x 2/6)was for the period of 1/1/x2 - 3/1/x2
** 9,645 - 8,000 =1,645 in which $548 was for period of 1/1/x2 - 3/1/x2
Long-Term Liabilities102
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
7/1/x2 Interest Expense 6,4301
Interest Payable 2,6672
Discount on B/P1,097Cash 8,000
1. 9,645 x 4/6= 6,430
2. 1,645 x 4/6 = 1,097
12/31/x2 Interest Expense 9,728 Cash8,000 Discount on B/P1,728
Long-Term Liabilities103
Debt Sold Between Interest Payment Dates At A Discount or A Premium (Contd.)
7/1/x3 Interest Expense 9,814Cash 8,000Discount on B/P 1,814
12/31/x3 Interest Expense 9,905Cash 8,000Discount on B/P 1,905
Discount on B/P6,544 1,097
1,7281,8141,905
0
Long-Term Liabilities104
Accruing Bond Interest Assumed that Page Company issued a 5-year
term bond with a face amount of $100,000 and a stated interest of 10% on 10/1/x2. The bonds were sold on 10/1/x2 and interest were paid semiannually (on 10/1 and 4/1). The effective interest rate is 12%. Therefore, the present value of the bonds is $92,640.5.
J.E 10/1/x2 Cash 92,640.50Discount 7,359.50
B/P
100,000
Long-Term Liabilities105
Accruing Bond Interest (contd.)12/31/x2 (adjusting entry for accrued interest expense)
(Straight -line method)Interest Expense 2,858
Interest Payable 2,500Discount on B/P* 368
7,359.50 / 5 x 3/12 = 368 (straight-line method)
12/31/x2 (Effective interest method)Interest Expense* 2,779
Interest Payable 2,500Discount on B/P 279
* Effective Interest of 3 months:92,640.50 x (12% x 1/2) x 3/6 = 2,779
Long-Term Liabilities106
Accruing Bond Interest (contd.)
Effective Interest Method:4/1/x3 Interest Expense 2,779
Interest Payable 2,500 Cash 5,000 Discount on B/P 279
10/1/x3 Interest Expense 5,591.91*Cash 5,000 Discount on B/P 591.91
*(92,640.5+279+279) * 0.06 = 5,591.91
Long-Term Liabilities107
Bonds Issued with Detachable Stock Warrants (Stock Rights) Stock warrants represent rights that
enable the security holder to acquire a specific number of common stock at a given price within a certain time period.
Stock warrants are attached to bonds to increase their marketability
Long-Term Liabilities108
Bonds Issued with Detachable Stock Warrants (Stock Rights) (contd.)
These detachable warrants can be sold separately from the bonds in the open market within a short time of issue.
APB Opinion 14 requires that a portion of the proceeds from bonds issued with detachable warrants be allocated to the stock warrants and accounted for as additional paid-in capital.
Long-Term Liabilities109
Bonds Issued with Detachable Stock Warrants (Stock Rights) (contd.)
The allocation is based on the relative market values of the bonds and warrants if the market values of bonds and warrants are both available.
If only the market value (MV) of warrants is available, the MV of the warrants will be the amount allocated as the value of warrants.
Long-Term Liabilities110
Example
Paul Company sold $800,000 of 12% bonds at 101.
Each $1,000 bond carried 10 warrants, and each warrant allowed the holder to acquire one share of $5 par common stock for $25 per share.
After issuance, the bonds were quoted at 99 ex rights (without the right attached) and the warrants were quoted at $3 each.
Long-Term Liabilities111
Example (contd.)
Value Assigned to Bonds $990 800
= ---------------------------------------- $808,000$990 800 + ($3 800 10)
= $784,235.29
Value Assigned to Warrants (right) $3 800 10
= ---------------------------------------- $808,000$990 800 + ($3 800 10)
= $23,764.71
Long-Term Liabilities112
Example (contd.)
* Bonds with the same risk can only be issued at 99 (rather than 101) without warrants
J.E Cash 808,000
Discount on B/P 15,764.71
B/P800,000
Comm. Stock Warrants23,764.71
* $800,000 -784,235.29 = 15,764.71
Long-Term Liabilities113
Example (contd.)
$23,764.71 Value of One Warrant =----------------- = $2.971
10 800
If 500 of the warrants were exercised at the $25 per share exercise price, the entry is: Cash 12,500 1
Common Stock Warrants 1,485.50 2
Common Stock 2,500 3
Additional Paid-in Capital on C.S 11,485.50 4
1. $25 x 500 2. 2.971 x 500 3. 5 x 500 4. (12,500 + 1485.50) - 2,500
Long-Term Liabilities114
Example (contd.)
If the remaining warrants expire, the following entry would be made:
Common Stock Warrants 22,279.21 1
Additional Paid-in Capital From Expired Warrants 22,279.21
1. 23,764.71 -1,485.50
Long-Term Liabilities115
Convertible Bonds
Bonds that may be converted into common stock at a specified price at the option of the holder.
At issuance, the conversion price is usually greater than the market value of common stock.
Convertible Bonds (Contd.)
Convertible bonds are often issued with call option for the issuer.
The issuer can force conversion by exercising its call option when share price has risen sufficiently in the future.
Long-Term Liabilities116
Long-Term Liabilities117
Convertible Bonds (contd.)
Reasons of issuing convertible bonds:
1. As an indirect way to issue stock when facing resistance from current stockholders to issue additional stock;
2. To issue bonds at a higher price (thus, lower effective interest rate);
Long-Term Liabilities118
Convertible Bonds (contd.)
3. Avoid the downward price pressure on its stock;
4. Avoid the direct sale of its stock when the company believes its stock currently is undervalued.
Long-Term Liabilities119
Accounting Treatment for Convertible Bonds APB Opinion 14 requires that the
issuance of convertible debt is recorded in the same manner as the issuance of nonconvertible debts without allocating a value (from the proceeds received) to the conversion feature. (Reason?)
Long-Term Liabilities120
Recording for the Conversion
Two acceptable methods:
A. Book Value Method: the stockholders’ equity is recorded at the book value of the convertible bonds on the date of conversion. No gain or loss is recorded upon
conversion. If the par value of the common stock is
greater than the book value of the bonds, the difference is recorded as a reduction of retained earnings.
Long-Term Liabilities121
Recording for the Conversion (contd.)
B. Market Value Method: The stockholders’ equity is recorded at the market value of the shares issued on the date of conversion, and a gain or loss is recorded (treated as an ordinary income or loss).
Long-Term Liabilities122
Recording for the Conversion (contd.)B. (continued)
The gain or loss is the difference between the market value of the converted common stock and the book value of the bonds.
If the conversion occurs between interest dates, the interest expense needs to be recorded and amortization of discount or premium also needs to be recognized to update the book value of the bonds.
Long-Term Liabilities123
Example
Shannon Company has outstanding convertible bonds with a face value of $10,000, interest has been paid on these bonds, and the bonds have a book value of $10,500.
Each $1,000 bond is convertible into 40 shares of common stock (par value $20 per share).
Long-Term Liabilities124
Example (contd.)
If all the bonds were converted into common stock when the market value of Shannon’s common stock is $26.5 per share, the following alternative entries may be made:
Long-Term Liabilities125
Example (contd.)
A. Book Value Method: (BV of the bonds= $10,500) (more commonly used by companies)
Bonds payable 10,000Premium on Bonds Payable 500
Common Stock 1 8,000Paid-in Capital from Bond Conversion 2 2,500
1. $20 x 40 x 102. 10,500 - 8,000
Long-Term Liabilities126
Example (contd.)
B. Market Value Method : (MV of converted Stock = 26.5 x (40x 10) = 10,600)
Bonds payable 10,000Premium on B/P 500Loss on Conversion 100
Common Stock 8,000 Paid-in Capital from Bond Conversion 2,600 1
1. 10,600 - 8,000
Long-Term Liabilities127
Induced Conversions
A Company may sweeten the conversion feature to induce the conversion of bonds to common stock in order to reduce interest costs.
The additional cost is recognized as an expense.
Long-Term Liabilities128
Example
Harmon Company had issued convertible bonds at par.The conversion terms allowed each $1,000 bond to be converted into 40 shares of common stock (par value $21 per share). Harmon induces the conversion terms to 50 shares if conversion is made in 60 days.
Long-Term Liabilities129
Example (contd.)
All bonds were converted within the time limit when the market price of the common stock is $30 per share.
At the time of conversion, the book value of the bonds is $10,000.
Long-Term Liabilities130
Example (contd.)
Using the book value method, the following entry will be recorded:
Bonds Payable 10,000
Bond Conversion Expense 3,000
Common Stock ($ 21 x 50 x 10) 10,500Paid-in Capital in Excess * of Par Value 2,500
*13,000 - 10,500
Long-Term Liabilities131
Example (contd.)
If the market value method is used, the following entry will be recorded:
B/P 10,000
Bond Conversion Expense 3,000
Loss on Conversion 2,000
Common Stock ($21 x 50 x 10)10,500
Paid-in capital in Excess of Par 4,500
Long-Term Liabilities132
Long-Term Notes Payable
APB Opinion No. 21 requires the long-term notes payable to be recorded at their present values.
When notes are exchanged for cash, the cash received is considered the present value of the note.
Long-Term Liabilities133
Long-Term Notes Payable (contd.)
The effective interest rate (or the implicit rate) is the rate that equates the future net cash flows to the present value.
The effective interest can be derived when the present value and future net cash flows are known.
Long-Term Liabilities134
Long-Term Notes Payable (contd.)
In cases when the present value is unknown, the incremental interest rate of the borrower would be used as the effective rate to calculate the present value of the note.
Long-Term Liabilities135
Long-Term Notes Payable (contd.)
A. Notes payable issued for cash: When a long-term note is exchanged for
cash, the note is assumed to have a present value equals the cash proceeds.
The difference between the cash proceeds and the face value of the note is recorded as a discount (or premium)
The discount (or premium) is amortized over the life of the note using the effective interest method.
Long-Term Liabilities136
Example
Johnson Company issued a 3-year, non-interest-bearing note with a face value of $8,000 and received $5,694.24 in exchange. The journal entry to record the issuance is:
Cash 5,694.24
Discount on Notes Payable 2,305.76
Note Payable8,000
Long-Term Liabilities137
Example (contd.)
The discount account is a contra account to notes payable. The effective interest rate that equates the P.V. of 5,694.24 to $8,000 at the end of 3 years is 12%.
5,694.24 = 8,000 x 0.71178 3-period, 12%
Long-Term Liabilities138
Year 1 Year 2 Year 3N/P 8,000 8,000 8,000Less: Unamortized Discount
(2,305.76) (1,622.45) (857.14)
Carrying Value (at beg.)
5,694.24 6,377.55 7,142.86
x Effective Rate 12% 12% 12%Interest Expense 683.31 765.31 857.14 - Interest Payment 0 0 0 Amortized Discount 683.31 765.31 857.14
Example (contd.)
The Interest Expense Per Year is Computed as:
Long-Term Liabilities139
Example (contd.)
Recognition of Interest Expense of Year 1:
Interest Expense 683.31
Discount on N/P683.31
Cash (non-interest bearing note)
0
Long-Term Liabilities140
Notes Payable Exchanged for Cash AND Rights or Privileges (skip p139-144)
A company might sign a contract with a customer in which the company borrows cash from the customer on a non-interest-bearing basis, with the understanding that the customer has the right to purchase certain goods from the company at less than prevailing market price over the period of the contract.
Long-Term Liabilities141
Example
Verna Company borrows $100,000 by issuing a 3-year, non-interest-bearing note to a customer.
Verna agrees to sell inventory to the customer at reduced prices over a 5-year period.
Verna’s incremental borrowing rate is 12% so that the P.V. of $100,000 to be repaid at the end of 3 years is $71,178. .
Long-Term Liabilities142
Example (contd.)
The customer agrees to purchase an equal amount of inventory each year over the 5-year period so that a straight line method of revenue recognition is appropriate.
Long-Term Liabilities143
Example (contd.)
The following entries are recorded during the first two years:
At the issuance of the Note
Cash 100,000
Discount on N/P 28,822
N/P 100,000
Unearned revenue 28,822
Long-Term Liabilities144
Example (contd.)
End of first YearInterest Exp. (71,178 x 12%) 8,541.36
Discount on N/P 8,541.36Unearned Revenue (28,822/5) 5,764.40
Sales Revenue 5,764.40
End of Second YearInterest Exp. ((76,178 + 8,541.36) x 12%) 9,566.32
Discount on N/P 9,564.40Unearned Revenue 5,764.40
Sales Revenue 5,764.40
Long-Term Liabilities145
Notes Payable Exchanged for Cash AND Rights or Privileges (contd.)Therefore, the accounting treatment is:1. The note is recorded at the P.V. of the note at the
time of issuance.2. The difference between the cash proceeds (i.e.,
$100,000) and the P.V. of the note is recorded as unearned revenue ($100,000 -71,178), and revenue is recognized over the life of the contract using an appropriated revenue recognition method.
3. The discount of the note is amortized over the life of the note using the effective interest method.
Long-Term Liabilities146
Notes Exchanged for Property, Goods, or Services APB 21 requires the note be recorded
at the fair market value of the property, goods, or services or the fair value of the note, whichever is more reliable.
The effective interest rate is calculated and used to calculate subsequent interest expense using the effective interest method.
Long-Term Liabilities147
Notes Payable Exchanged for Property, Goods, or Services (contd.)
If neither of these values is determinable, the incremental borrowing rate of the borrower would be used as the effective interest rate to calculate the present value of the note.
Long-Term Liabilities148
Example
On 1/1/x5, Marden Company purchases an equipment by issuing a non-interest-bearing 5-year note with a face value of $10,000.
Neither the fair market value of the equipment nor that of the note is determinable.
The incremental borrowing rate of Marden is 12%.
Long-Term Liabilities149
Example (contd.)
J.E. 1/1/x5
Equipment 5,674.27*
Discount on N/P 4,325.73
N/P 10,000
* P.V. of the note using 12% as the effective interest rate => 10,000 x 0.567427
Long-Term Liabilities150
Example (contd.)
12/31/x5
Int. Exp. (5674.27 x 12%) 680.91
Discount on N/P 680.91
Depreciation Expense 567.43
Accumulated Depreciation 567.43
(Assuming a S-L depreciation method is used and a 10-year life is assumed for the equipment)
Long-Term Liabilities151
Example (contd.)
12/31/x6
Int. Exp. (5,674.27 + 680.91) x 12% 762,62
Discount on N/P762.62
Depreciation Expense 567.43
Accumulated Depreciation567.43
Long-Term Liabilities152
Example (contd.)
Using the previous example, except that the fair market value the equipment was determined at $6,209.21. The interest rate that equates the future cash flows to the present value of $6,209.21 is 10%.
Long-Term Liabilities153
Example (contd.)
The following entries would be recorded for 20x5 and 20x6:1/1/x5
Equipment 6,209.21Discount on N/P 3,790.89
N/P 10,00012/31/x5
Int. Exp. (6,209.21 x 10%) 621Discount on N/P 621
12/31/x6 Int. Exp. (6,209.21 + 621) x 10% 683
Discount on N/P 683
Long-Term Liabilities154
Installment Notes
Notes could be paid by installments rather than by a single amount at maturity.
Using the above example on page 151, assuming an installment payment at the end of each year for the following 5 years, ( starting 12/31/x5), the annual installment payment for the note (loan) equals: $6,209.21/ 3.79079=$1,638
Long-Term Liabilities155
Installment Notes: (Contd.)
Journal Entries:1/1/x5 Equipment 6,209.21
Note Payable 6,209.21
12/31/x5 Interest Exp. * 621N/P 1,017
Cash1,638 *6,209.21 x 10% = 621
12/31/x6 Interest Exp. * 519N/P 1,119
Cash1,638 *(6,209.21 - 1,017) x 10% = 519.2
Long-Term Liabilities156
Installment Notes: (Contd.) Journal Entries:12/31/x7 Interest Exp. * 407 N/P
1,231 Cash1,638 *(6,209-1,017-1,119) x 10% =
40712/31/x8 Interest Exp. * 284 N/P
1,354 Cash1,638 *(6,209-1,017-1,119-1,231) x
10% = 28412/31/x9 Interest Exp. * 149 N/P
1,489 Cash1,638
*(6,209-1,017-1,119-1,231- 1,354) x10% = 149
Long-Term Liabilities157
Installment Notes: (Contd.)
N/P1017 62091119123113541489 0*rounding error = $1
Long-Term Liabilities158
Installment Notes: (Contd.)
An installment note typically is recorded at its carrying amount (i.e., the face amount - the unamortized discount).
This is because the outstanding balance of an installment does not become its face amount as in the case for notes with a single payment at maturity.
Long-Term Liabilities159
Long-term Notes Receivable (skip p158-170) If a long-term note received from selling
property, goods, providing service, the note is recorded at the fair market value of the property goods, or services or the fair market value of the note (the present value if known), whichever is more reliable.
An effective interest rate will then be derived and used to amortized the discounts or premiums.
Long-Term Liabilities160
Long-term Notes Receivable (contd.) If neither of these values is reliable, the
note is recorded at its present value by using the borrower’s incremental interest rate (as the effective interest rate).
The effective interest method is used to record subsequent interest revenue.
Long-Term Liabilities161
Example
Joyce Company accepted a $10,000, non-interest-bearing, 5 year note on 1/1/x5 in exchange for an equipment sold to Marden Company. Since a reliable fair market value of the equipment or the note was not available, Marden’s (the borrower) 12% incremental borrowing rate was used to determine the P.V. of $5,674.27 for the note. The cost of the equipment is $8,000 and the book value is $5,000 on the date of sale.
Long-Term Liabilities162
Example (contd.)
The following entries will be recorded for Joyce:1/1/x5 Notes Receivable 10,000 Accumulated Depreciation 3,000 2
Discount on N/R 1 4,325.73Equipment 8,000 Gain on Sale of Equipment 3 674.27
1. 100,000 -5,674.272. 8,000 - 5,000 (B.V.)3. P.V. of the Note - B.V. of the Equipment = 5,674.27 - 5,000
Long-Term Liabilities163
Example (contd.)
12/31/x5Discount on N/R 1 680.91
Interest Revenue680.91
1. 5,674.27 x 12%
P.V. of Note on 1/1/95
12/31/x6 Discount on N/R 1 762.62
Interest Revenue762.62
1. (5,674.27 + 680.92) x 12%
Long-Term Liabilities164
Impairment of A Loan (FASB 114)
A loan (note receivable) is impaired if it is probable that the creditor will be unable to collect all amounts due according to the (contractual) terms of the loan agreement.
When a loan is found to be impaired, the creditor company (often a financial institution) computes the present value of the expected future cash flows of the impaired loan using the original effective interest rate on the loan.
Long-Term Liabilities165
Impairment of Loan (FASB 114) (contd.) The amount by which the present value is
less than the recorded investment in the loan is recognized as Bad Debt Expense and Allowance for Doubtful Notes.
Long-Term Liabilities166
Example
Assuming Snook Company has a 6-year note receivable of $100,000 from the Ullman Company on 1/1/x2 that is being carried at face value. The loan agreement specifies that interest of 8% is payable each 12/31 and the principal is to be paid on 12/31/x7. The Ullman paid the interest due on 12/31/x2, but informed the Snook Company that it probably would have to miss the next two year’s interest payments.
Long-Term Liabilities167
Example
After that, it expected to resume the $8,000 annual interest payments, but the principal payment would be made one year late with interest paid for the additional year.
The present value P.V. of the impaired loan of Snook on 12/31/x2 is:
Long-Term Liabilities168
Example (contd.)
P.V. of Principal = $100,000 x P.V. of a single sum for 6 years at 8%
= $100,000 x 0.630170
= $63,0170
P.V. of Interest
= $8,000 x 3.312127 x 0.857329
= $22,716.93 annuity of 4 years at 8% Defer for 2-years
Long-Term Liabilities169
Example (contd.)
P.V. of the Impaired Loan
= 63,017 + 22,716.93
= $85,733.93
The amount of impairment
= $100,000 - 85,733.93
= $14,266.07
Long-Term Liabilities170
Recognition of the Impairment
12/31/x2 Bad Debt Expense 14,266.07
Allowance for Doubtful Notes 14,266.07
At Dec. 31, x3, Snook recognized interest revenue of $6,858.71:12/31/x3 Allowance for Doubtful Notes 6,858.71*
Interest Revenue 6,858.71* $85,733.93 x 8% = 6,858.71
the new carrying value of the impaired note
Long-Term Liabilities171
Recognition of the Impairment (contd.)12/31/x2
Allowance for Doubtful Notes** 7,407.41
Interest Revenue7,407.41
** (85,733.93 + 6,858.71) x 8%
Long-Term Liabilities172
Troubled Debt Restructuring
When the borrower is in severe financial difficulties, the creditor(s) may change the terms of debt agreement (i.e.,reduce the amount of principal or reduce the amount of interest payments or both.) rather than force the borrower to liquidate.
Long-Term Liabilities173
Troubled Debt Restructuring (Contd.)
This new agreement is referred to as a trouble debt restructuring.
A trouble debt restructuring can be one of the following:
1.The debt is settled at the time of restructuring ; or
2.The debt is continued but with modified terms.
Long-Term Liabilities174
Troubled Debt Restructuring (Contd.)
A. Debt is Settled:
The debtor’s gain = the carry amount of the debt - the value of the asset(s) transferred to settle the debt.
Long-Term Liabilities175
Example 1:
A bank holding a $50 million note agrees to accept a land valued at $40 million from R.J. company, which is in severe financial difficulties, as a settlement of the $50 million debt.
Troubled Debt Restructuring (Contd.)
A. Debt is Settled:
Long-Term Liabilities176
Assumed that the carrying amount of the land is $32 million. The following journal entries are recorded for this troubled debt restructuring:
($ in million)1)Land (40million-32million) 8
Gain on disposition of assets 8
2)Note Payable 50Land(at fair value) 40Gain on troubled debt restructuring 10
Troubled Debt Restructuring (Contd.)
A. Debt is Settled:
Long-Term Liabilities177
In this case of troubled debt restructuring, the bank allows the debt to continue but modifies the terms of debt agreement, such as:
1) reduce or delay the interest payments;
2) reduce or delay the maturing amount;
3) a combination of these concessions.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities178
Example 2:
Assuming a 10% stated interest on the $50 million note is in question and interests($50 million x 10% = 5 million) are payable in December of the two remaining years. In addition, R.J. failed to pay $5 million of interest for the year just ended. Therefore, the carrying amount of the debt is $55 million.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities179
The accounting treatment for this type of trouble debt restructuring depends on the total amount of future cash payments.
Case I : Total future cash payments <The carrying amount of the
debt
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities180
Accounting Treatment:a)Recognize a gain (extraordinary) equals the
difference between the carrying amount of the debt and the total future cash payments
b)Reduce the carrying amount of the debt to the total future cash payments by:
1) reducing the accrued interests, and 2) reducing the debt.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities181
Accounting Treatment (contd.): C) If entire accrued interests were
eliminated, all subsequent cash payments are payments for the debt itself.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities182
Continued with Example 2, assuming that the bank agrees to the following terms:
a)Eliminate the accrued interest of last year;
b)Reduce the remaining two interest payments from $ 5 million each to $3 million each; and
c)Reduce the maturity value from $50 million to $40 million.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities183
Extraordinary Gain:
Carrying Amount $55 million
Future Cash Payments* $46 million
Gain $ 9 million
* $3 million x 2+ 40 million = $46 million
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities184
J.E. ($ in million)
Interest Payable 5
Note Payable** 4
Gain on debt restructuring 9
** Balance of this debt = $50-4 = $46 million= Total future cash payments on this debt
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities185
J.E. At each of the two interest payment dates
12/X+1 ($ in million)Note Payable 3
Cash 3 12/X+2
Note Payable 3Cash 3
At maturity:Note Payable 40
Cash 40(revised principal amount)
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities186
Case II: Total cash payments exceed the carrying amount of the debt
Continued with example 2, assuming that the bank agrees to delay the due date for all cash payments until maturity date and accept $57,222,000 at maturity date.
Since $57,222,000 exceeds the carrying amount of the debt ($55 million), the new agreement still require an interest payment.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities187
A new effective interest rate needs to be calculated as follows:$55,000,000 / $57,221,927=0.96117The present value table (6A-2) indicates that the new effective interest rate is 2%.
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities188
J.E.1)At the debt restructuring date:no entry is
required.
2)At the end of the first year following the restructuring:
Int. Exp.(2%x$55 million) 1,100,000Interest Payable1,100,000
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms:
Long-Term Liabilities189
3)At the end of the second yearInterest Exp.* 1,122,000
Interest Payable1,122,000
* 2% x ($55million + 1,100,000)
4)At maturity Date: Note Payable 50,000,000Interest Payable 7,222,000
Cash57,222,000
Troubled Debt Restructuring (Contd.)B. Debt is Continued but with Modified Terms: