Price of bond = $3,477,763
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 | $ 3,201,000 | ||
Market Rate | 8% | 4.00% | Term (in years) | 15 | |
Coupon Rate | 9% | 4.50% | Total no. of interest payments | 30 |
.
Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 3,201,000 | at | 4.00% | Interest rate for | 30 | term payments | ||
PV of $1 | 0.30832 | |||||||
PV of | $ 3,201,000 | = | $ 3,201,000 | x | 0.30832 | = | $ 986,932 | A |
Interest payable per term | at | 4.50% | on | $ 3,201,000 | ||||
Interest payable per term | $ 144,045 | |||||||
PVAF of 1$ | for | 4.00% | Interest rate for | 30 | term payments | |||
PVAF of 1$ | 17.29203 | |||||||
PV of Interest payments | = | $ 144,045 | x | 17.29203 | = | $ 2,490,830 | B | |
Bond Value (A+B) | $ 3,477,763 |
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