Please post step-by-step computations, thank you!
1. Calculation of semi-annual interest = Face value of bond * Coupon rate * 1/2 = $1,580,000 * 8% *1/2 = $63,200.
2. To calculate premium on bond, we will have to find present value of bond and interest payable to bond holders and the interest rate to be used for the purpose of discounting them will be market rate of interest which is 6%.
3. Cash flows will include interest payment semi-annually till 4 years and at the end of 4th year, face value of bond will also be repaid.
4. Total period = No. of years * 2 = 4 * 2 = 8 periods.
5. Rate of interest to be used for discounting = 6% / 2 = 3% (as interest is paid semi-annually, therefore, cash flows will be discounted used semi-annual interest rate).
|
Cash flows | Present value factor @ 3% | Present value of cash flows | ||
Interest | Principal | ||||
1 | $63,200 | 0 | 0.9709 | $61,361 | |
2 | $63,200 | 0 | 0.9426 | $59,572 | |
3 | $63,200 | 0 | 0.9151 | $57,834 | |
4 | $63,200 | 0 | 0.8884 | $56,147 | |
5 | $63,200 | 0 | 0.8625 | $54,510 | |
6 | $63,200 | 0 | 0.8374 | $52,924 | |
7 | $63,200 | 0 | 0.813 | $51,382 | |
8 | $63,200 | $1,580,000 | 0.7893 | $1,296,978 | |
Present value of cash flows | $1,690,708 |
As the present value of cash flows are more than the face value, therefore, the bonds are said to be issued at premium.
Bond Premium = Present value of cash flows - Face value = $1,690,708 - $1,580,000 = $110,708
Date | General Journal | Debit | Credit |
January 1 | Cash | $1,690,708 | |
Premium on Bonds payable | $110,708 | ||
Bonds Payable | $1,580,000 |
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