A corporation issued bonds on January 1, 2018 with the following terms:
Face Value: $500,000
Coupon Rate of Interest 8%,
Term: 10 years
Interest: Semi-annual payments on June 30 and December 31
Market Rate of Interest 10%
What is the amount of unamortized discount or premium (after the interest payment is made) on June 30, 2019?
A. |
$39,627 |
|
B. |
$56,312 |
|
C. |
$60,373 |
|
D. |
$54,128 |
|
E. |
$62,260 |
Price of Bonds: | ||||||
Semi annual cash interest =500,000*8%*6/12 = | 20000 | |||||
n = 20 | ||||||
I = 5% | ||||||
Cashflows | Amount | PVf | Present Value | |||
Semi annual cash interest | 20000 | 12.462 | 249240 | |||
Maturity value | 500000 | 0.377 | 188500 | |||
Price of bonds | 437740 | |||||
Amort Chart: | ||||||
Date | Cash Int. | Int. exp. | Discount | Unamortize | Carrying | |
amortized | Disscount | Value of bonds | ||||
01.01.18 | 62260 | 437740 | ||||
30.06.18 | 20000 | 21,887 | 1,887 | 60,373 | 4,39,627 | |
31.12.18 | 20000 | 21,981 | 1,981 | 58,392 | 4,41,608 | |
30.06.19 | 20000 | 22,080 | 2,080 | 56,312 | 4,43,688 | |
Answer is B. $ 56312. | ||||||
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