In: Accounting
Coronado Company issues $26000000, 5%, 5-year bonds dated January 1, 2017 on January 1, 2017. The bonds pay interest semiannually on June 30 and December 31. The bonds are issued to yield 4%. What are the proceeds from the bond issue?
Answers given:
$27156209
$26000000
$27167784
$27160279
Correct answer----$2716778
Working
The calculation i made are little diffrent due to round off but the answer stated above is correct.
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 | $ 2,60,00,000.00 | ||
Market Rate | 4.00% | 2.00% | Term (in years) | 5 | |
Coupon Rate | 5.00% | 2.50% | Total no. of interest payments | 10 |
Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 2,60,00,000 | at | 2.00% | Interest rate for | 10 | term payments | ||
PV of $1 | 0.82035 | |||||||
PV of | $ 2,60,00,000 | = | $ 2,60,00,000 | x | 0.82035 | = | $ 2,13,29,056 | A |
Interest payable per term | at | 3% | on | $ 2,60,00,000 | ||||
Interest payable per term | $ 6,50,000 | |||||||
PVAF of 1$ | for | 2.0% | Interest rate for | 10 | term payments | |||
PVAF of 1$ | 8.98259 | |||||||
PV of Interest payments | = | $ 6,50,000.00 | x | 8.98259 | = | $ 58,38,680 | B | |
Bond Value (A+B) | $ 2,71,67,736 |