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YaYa Company issued bonds with a contract interest rate of 10% and a face amount of...

YaYa Company issued bonds with a contract interest rate of 10% and a face amount of $200,000.  The bonds mature in 15 years.  The market interest rate for bonds with the same degree of riskiness is 8% compounded annually.  These bonds were issued on January 1 of Year 1 at a price of $234,238.  Cash Interest payments are made annually on December 31, so the first interest payment was made on December 31 of Year 1.  YaYa uses the effective-interest method on its books.
What is the dollar amount of the bond premium or discount recorded on YaYa’s books after the cash payment of the last cash interest payment but before the payment of the face value of the bond? (Do not write the dollar sign).

Solutions

Expert Solution

A B C D E F G
DATE INT PAYMENT(FACE VAL*10%) INTEREST EXPENSE(PREVIOUS BOOK VAL IN G*8%) AMORTISATION(B-C) BALANCE IN PREMIUM FACE VALUE BOOK VALUE
End of Yr 34238 200000 234238
1 20000 18739 1261 32977 200000 232977
2 20000 18638 1362 31615 200000 231615
3 20000 18529 1471 30144 200000 230144
4 20000 18412 1588 28556 200000 228556
5 20000 18284 1716 26840 200000 226840
6 20000 18147 1853 24988 200000 224988
7 20000 17999 2001 22987 200000 222987
8 20000 17839 2161 20826 200000 220826
9 20000 17666 2334 18492 200000 218492
10 20000 17479 2521 15971 200000 215971
11 20000 17278 2722 13249 200000 213249
12 20000 17060 2940 10309 200000 210309
13 20000 16825 3175 7133 200000 207133
14 20000 16571 3429 3704 200000 203704
15 20000 16296 3704 0 200000 200000
Total 300000 265762 34238

Last interest payment was of 20,000 out of which 16,296 was debited to interest expense and 3,704 was debited to premium on bonds payable account. After this entry the balance in premium on bonds payable shall become zero (as shown in table above) and carrying value/book value of bonds shall be face value i.e. 200,000 which will be now repaid to the bond holders.

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