On December 31, 2019, Swifty Company finished consulting
services and accepted in exchange a promissory note with a face
value of $675,000, a due date of December 31, 2022, and a stated
rate of 6%, with interest receivable at the end of each year. The
fair value of the services is not readily determinable and the note
is not readily marketable. Under the circumstances, the note is
considered to have an appropriate imputed rate of interest of
12%.
The following interest factors are provided:
Interest Rate | ||||
Table Factors For Three Periods | 6% | 12% | ||
Future Value of 1 | 1.19102 | 1.40493 | ||
Present Value of 1 | 0.83962 | 0.71178 | ||
Future Value of Ordinary Annuity of 1 | 3.18360 | 3.37440 | ||
Present Value of Ordinary Annuity of 1 | 2.67301 | 2.40183 |
Prepare a Schedule of Note Discount Amortization for Swifty
Company under the effective interest method. (Round
answers to 0 decimal places, e.g. 5,275.)
Date | Cash Interest (6%) | Effective Interest (12%) | Discount Amortized | Unamortized Discount Balance | Present Value of Note | |||||
12/31/19 | $ | $ | $ | $ | $ | |||||
12/31/20 | ||||||||||
12/31/21 | ||||||||||
12/31/22 | ||||||||||
$ | $ | $ |
Solution:
Present value of note = Present value of interest and face value
= ($675,000*6%) * Cumulative PV factor at 12% for 3 periods + $675,000 * PV factor at 12% for 3rd period
= $40,500 * 2.40183 + $675,000 * 0.71178
= $97,274 + $480,452
= $577,726
Date | Cash interest (6%) | Effective Interest(12%) | Discount Amortized | Unamortized discount balance | Present value of note |
31-Dec-19 | $97,274 | $577,726 | |||
31-Dec-20 | $40,500 | $69,327 | $28,827 | $68,447 | $606,553 |
31-Dec-21 | $40,500 | $72,786 | $32,286 | $36,161 | $638,839 |
31-Dec-22 | $40,500 | $76,661 | $36,161 | $0 | $675,000 |
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