On December 31, 2020, Ayayai Company signed a $1,061,900 note to Pina Bank. The market interest rate at that time was 11%. The stated interest rate on the note was 9%, payable annually. The note matures in 5 years. Unfortunately, because of lower sales, Ayayai’s financial situation worsened. On December 31, 2022, Pina Bank determined that it was probable that the company would pay back only $637,140 of the principal at maturity. However, it was considered likely that interest would continue to be paid, based on the $1,061,900 loan.
A.
Determine the amount of cash Ayayai received from the loan on
December 31, 2020. (Round present value factors to 5
decimal places, e.g. 0.52513 and final answer to 0 decimal places,
e.g. 5,275.)
Amount of cash Ayayai received from the loan | $enter a dollar amount of cash Ayayai received from the loan |
B. Prepare a note amortization schedule for Pina Bank up to December 31, 2022. (Round answers to 0 decimal places, e.g. 5,275.)
C. Determine the loss on impairment that Pina Bank should
recognize on December 31, 2022. (Round present value
factors to 5 decimal places, e.g. 0.52500 and final answer to 0
decimal places, e.g. 5,275.)
Loss due to impairment | $enter the Loss due to impairment in dollars |
a.
Loan amount | 1,061,900 |
PVF (11%,5 years) | 0.59345 |
Present value | 630185.9653 |
Interest
on loan [1,061,900*9%] |
95571 |
PVAF (11%, 5years) | 3.69590 |
Present value | 353220.8589 |
Total loan proceeds | 983407 |
b.
Date | Cash received | Interest
revenue [Carrying amount*11%] |
Increase
in carrying amount [Interest revenue - cash received] |
Carrying amount of note |
12/31/20 | 983407 | |||
12/31/21 | 95571 | 108175 | 12604 | 996011 |
12/31/22 | 95571 | 109561 | 13990 | 1010001 |
c.
Carrying amount of loan as on 12/31/22 | 1010001 |
Less:
Present value of loan [637,140* PVF (11%,3 years)] |
465871 |
Less:
Present value of interest [95571 * PVAF (11%,3years) |
233548 |
Loss due to impairment | 310582 |
Workings:
Factor table:
11% | |
1 | 0.90090 |
2 | 0.81162 |
3 | 0.73119 |
4 | 0.65873 |
5 | 0.59345 |
3.69590 |
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