In: Accounting
Use the following information to answer questions 7.
On January 1, 2020, Beck Co. issued (sold) ten-year bonds with a face amount of $3,000,000 and a stated
interest rate of 10%. Interest is payable semi-annually on January1 and July 1st of each year.
The bonds were priced to yield 8% (market interest rate).
Present value factors are as follows:
At 4% At 8% At 10%
Present value of $1 for 10 periods 0.6756 0.4630 0.3860
Present value of $1 for 20 periods 0.4564 0.2145 0.1486
Present value of an ordinary annuity of $1 for 10 periods 8.1109 6.7100 6.1450
Present value of an ordinary annuity of $1 for 20 periods 13.590 9.8181 8.5136
7- The total issue price of the bonds was
a. $3,000,000.
b. $3,402,,000.
c. $2,760,000.
d. $3,407,700.
e. None of the above
Correct answer------------(d) $3,407,700
Working
Bonds issue price is calculated by ADDING the: |
Discounted face value of bonds payable at market rate of interest, and |
Discounted Interest payments amount (during the lifetime) at market rate of interest. |
.
Annual Rate | Applicable rate | Face Value | $ 3,000,000 | ||
Market Rate | 8.00% | 4.00% | Term (in years) | 10 | |
Coupon Rate | 10.00% | 5.00% | Total no. of interest payments | 20 |
..
Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 3,000,000 | at | 4.00% | Interest rate for | 20 | term payments | ||
PV of $1 | 0.45639 | |||||||
PV of | $ 3,000,000 | = | $ 3,000,000 | x | 0.45640 | = | $ 1,369,200 | A |
Interest payable per term | at | 5.00% | on | $ 3,000,000 | ||||
Interest payable per term | $ 150,000 | |||||||
PVAF of 1$ | for | 4.00% | Interest rate for | 20 | term payments | |||
PVAF of 1$ | 13.59033 | |||||||
PV of Interest payments | = | $ 150,000 | x | 13.59000 | = | $ 2,038,500 | B | |
Bond Value (A+B) | $ 3,407,700 |