Calculations Marketing Inc. issued 7.0% bonds with a par value of $370,000 and a five-year life on January 1, 2020, for $385,781. The bonds pay interest on June 30 and December 31. The market interest rate was 6% on the original issue date. Use TABLE 14A.1 and TABLE 14A.2. (Use appropriate factor(s) from the tables provided.)
1- | |||||
total interest expense | total cash interest paid-premium to be amortized | (370000*7%*5)-15781 | 113719 | ||
2- | |||||
Period ending | cash interest paid = face value*coupon rate*1/2 | Interest expense =carrying value*market interest rate*1/2 | Premium amortized =cash interest paid-interest expense | unamortized premium = anamortized premium-premium amortized | carrying value = carrying value-premium amortized |
Jan 1 2020 | 15781 | 385781 | |||
June 30 2020 | 12950 | 11573.43 | 1376.57 | 14404.43 | 384404.4 |
Dec 31 2020 | 12950 | 11532.13 | 1417.867 | 12986.56 | 382986.6 |
June 30,2021 | 12950 | 11489.6 | 1460.403 | 11526.16 | 381526.2 |
Dec 31 2021 | 12950 | 11445.78 | 1504.215 | 10021.94 | 380021.9 |
June 30,2022 | 12950 | 11400.66 | 1549.342 | 8472.603 | 378472.6 |
Dec 31 2022 | 12950 | 11354.18 | 1595.822 | 6876.781 | 376876.8 |
June 30 2023 | 12950 | 11306.3 | 1643.697 | 5233.084 | 375233.1 |
Dec 31 2023 | 12950 | 11256.99 | 1693.007 | 3540.077 | 373540.1 |
June 30,2023 | 12950 | 11206.2 | 1743.798 | 1796.279 | 371796.3 |
Dec 31 2023 | 12950 | 11153.89 | 1796.112 | 0.167656 | 370000.2 |
3- | |||||
date | explanation | debit | credit | ||
30-Jun | Interest expense | 11573.43 | |||
premium on bonds payable | 1376.57 | ||||
cash | 12950 | ||||
Period | cash flow | present value factor at 6/2 =3% =1/(1+r)^n r =6%/2 =3% | present value of cash flow | ||
1 | 12950 | 0.970874 | 12572.82 | ||
2 | 12950 | 0.942596 | 12206.62 | ||
3 | 12950 | 0.915142 | 11851.08 | ||
4 | 382950 | 0.888487 | 340246.1 | ||
present value of bonds =sum of present value of cash flow |
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