CH8 - q2

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School

University of Alberta *

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351

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Finance

Date

Apr 3, 2024

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docx

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3

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EXERCISE 8–2 On January 1, 2020, Smythe Corp. invested in a 10-year, $25,000 face value 4% bond, paying $25,523 in cash. Interest is paid annually, every January 1. On January 3, 2028, Smythe sold all of the bonds for 101. Smythe's year-end is December 31 and the company follows IFRS. At the time of purchase, Smythe intended to collect the contractual cash flows of interest and principle, and to hold the bonds to maturity. Required: a. What is the effective interest rate for this bond, rounded to the nearest whole dollar? (Hint: this involves a net present value calculation as discussed in Chapter  6 : Cash and Receivables.) b. What is the amount of the bond premium or discount? Indicate if it is a premium or a discount. c. Record all relevant entries for 2020, the January entry for 2021, and the entry for the sale in 2028, if Smythe classifies the investment as an AC investment. Round amounts to the nearest whole dollar. d. What is the total interest income and net cash flows for Smythe over the life of the bond? What accounts for the difference between these two amounts? e. Assume now that Smythe follows ASPE. How would the entries in part (c) differ? Use numbers to support your answer. EXERCISE 8–2 a. Using a business calculator present value functions, solve for interest I/Y when the present value, payment, number of periods and future values are given: PV = (PMT, I/Y, N, FV) +/- 25,523PV = 1000 PMT, unknown I/Y, 10 N, 25000 FV = 3.745% (rounded) b.   Face value of the bond  $25,000 Present value of the bond   25,523 Bond premium  $ 523 c. Journal entries for a AC investment using amortized cost:
General Journal Date Account/Explanation F Debit Credit Jan 1 2020 Investment in bonds – at amortized cost Investment in bonds – at amortized cost     25,523     Cash Cash       25,523         Dec 31 2020 Interest receivable Interest receivable     1,000     Investment in bonds – at amortized cost Investment in bonds – at amortized cost       44   Interest income Interest income       956   For Investment in bonds: ( 1,000−(25,523×3.75% ))               Jan 1 2021 Cash Cash     1,000     Interest receivable Interest receivable       1,000         Jan 1 2028 Cash Cash     25,250     Investment in bonds – at amortized cost (see schedule below or alternative PC calculation) Investment in bonds – at amortized cost (see schedule below or alternative PC calculation)       25,121   Gain on sale of investment Gain on sale of investment       129   For Cash: ( $25,000×101 )      
d. Alternative calculation to the effective interest rate schedule below using a business calculator and present value functions: e. PV = 1000 PMT, 2 N, 3.745 I/Y, 25000 FV = 25,120.68 where N is 2 years left to maturity. f. EFFECTIVE INTEREST RATE SCHEDULE g. h. Total interest income is  $9,477−941−938  = $7,598  after holding the investment for eight out of ten years. Total net cash flows for Smythe is  (25,523) cash paid+($1,000×8 years) +25,250  cash received upon sale = $7,727  over the life of the investment. The difference of $129.48 ( 7,597.52−7,727 ) is the  gain on the sale of the investment of $130  at the end of eight years. (The small difference is due to rounding.) i. If Smythe followed ASPE, then the investment would be accounted for using amortized cost. However, in this case, there would be a choice regarding the method used to amortize the bond premium of $523 calculated in part (b). The choices are straight-line amortization over the bond's life or the effective interest rate method shown in part (c). If the straight-line method was used, then the yearly amortization amount would have been  $523÷10 years  or $52.30 per year for 8 years until the bonds were sold in 2028. The interest income would be the same over the 8 years.
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