In: Accounting
On January 1, Year1, Boston Group issued $500,000 par value, 12% three-year bonds when the market rate of interest was 8%. Interest is payable semiannually on December 31. The following present value information is available:
4% | 8% | |
Present Value of $1 (n=5) | 0.7903 | 0.6302 |
Present value of an ordinary annuity (n=5) | 5.2421 | 4.6229 |
Present Value of $1 (n=3) | 0.8890 | 0.7938 |
Present value of an ordinary annuity (n=5) | 2.7751 | 2.5771 |
What amount is the value of net bonds payable at the end of year 1?
Issue Price of the Bond
Face Value = $500,000
Semi-annual Coupon Amount = $30,000 [$500,000 x 12.00% x ½]
Semi-annual Yield to Maturity = 4.00% [8.00% x ½]
Maturity Period = 6 Years [3 Years x 2]
Therefore, the Issue Price of the Bond = Present Value of the Coupon Payments + Present Value of the face Value
= $30,000[PVIFA 4.00%, 6 Years] + $500,000[PVIF 4.00%, 6 Years]
= [$30,000 x 5.2421] + [$500,000 x 0.7903]
= $157,263 + $395,150
= $552,413
The Issue Price of the Bond will be $552,413.
Bond amortization schedule for the first two semi-annual periods
Date |
Cash paid at 6.00% on $500,000 |
Interest Exp at 4.00% on Previous period carrying value |
Change in Carrying Value |
Carrying Value |
Jan 1, Year 1 |
- |
- |
- |
552,413 |
June 30, Year 1 |
30,000 |
22,097 |
7,903 |
544,510 |
Dec 31, Year 1 |
30,000 |
21,780 |
8,220 |
536,290 |
Therefore, the value of net bonds payable at the end of year 1 will be $536,290 (Aprrox)