In: Accounting
Bringham Company issues bonds with a par value of $640,000. The bonds mature in 6 years and pay 7% annual interest in semiannual payments. The annual market rate for the bonds is 10%. (Table B.1, Table B.2, Table B.3, and Table B.4) (Use appropriate factor(s) from the tables provided.) 1. Compute the price of the bonds as of their issue date. 2. Prepare the journal entry to record the bonds’ issuance.
Solution: 1 | |||||
CALCULATION OF ISSUE PRICE OF THE BONDS | |||||
Step 1 : Calculation of Semi Annual Coupon Payments | |||||
Par value of the bond issued is = | $640,000 | ||||
Annual Coupon % | 7.00% | ||||
Annual Coupon Amount | $44,800 | ||||
Half Year Coupon Amount = | $22,400 | ||||
Step 2: Calculate number of years to Maturity | |||||
Number of years to maturity = 6 years | |||||
No. of Years Period = 6 Years X 2 Period = | 12 | Periods | |||
Step 3 : Caclulation of Current Market Price (intrinsic value) of the bonds | |||||
Market rate of interest or Yield to Maturity or Required Return = | 10% | ||||
Half yearly Discount rate = 10 % / 2 | 5% | ||||
PVF = 1 / Discount rate = 1/ 1.05 | |||||
Result of above will again divide by 1.05 , repeat this lat period | |||||
Period | Interest | Amount (In Million) | PVF of $ 1 @ 5% | PresentValue | |
1 | Interest | $ 22,400 | 0.9524 | $ 21,333 | |
2 | Interest | $ 22,400 | 0.9070 | $ 20,317 | |
3 | Interest | $ 22,400 | 0.8638 | $ 19,350 | |
4 | Interest | $ 22,400 | 0.8227 | $ 18,429 | |
5 | Interest | $ 22,400 | 0.7835 | $ 17,551 | |
6 | Interest | $ 22,400 | 0.7462 | $ 16,715 | |
7 | Interest | $ 22,400 | 0.7107 | $ 15,919 | |
8 | Interest | $ 22,400 | 0.6768 | $ 15,161 | |
9 | Interest | $ 22,400 | 0.6446 | $ 14,439 | |
10 | Interest | $ 22,400 | 0.6139 | $ 13,752 | |
11 | Interest | $ 22,400 | 0.5847 | $ 13,097 | |
12 | Interest | $ 22,400 | 0.5568 | $ 12,473 | |
12 | Bond Principal Value | $ 640,000 | 0.5568 | $ 356,376 | |
Total | $ 554,913 | ||||
Price of The Bond= | $ 554,913 | ||||
Answer = Price of The Bond = $ 554,913 | |||||
Solution: 2 | |||||
Account Title and explanation | Debit | Credit | |||
Cash | $554,913 | ||||
Discount on issuance of Bonds | $85,087 | ||||
Bonds Payable | $640,000 | ||||