In: Accounting
Yan Yan Corp. has a $2,000 par value bond outstanding with a coupon rate of 4.9% paid semiannually and 13 years to maturity. The yield to maturity is 3.8%. What is the price of the bond?
Price of Bond = $2,224 or $2,224.04
The final answer may vary in 1 or two digits due to round off in PV factors.
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 | $ 2,000 | ||
Market Rate | 3.80% | 1.90% | Term (in years) | 13 | |
Coupon Rate | 4.90% | 2.45% | Total no. of interest payments | 26 |
.
Calculation of Issue price of Bond | ||||||||
Bond Face Value | Market Interest rate (applicable for period/term) | |||||||
PV of | $ 2,000 | at | 1.90% | Interest rate for | 26 | term payments | ||
PV of $1 | 0.61302 | |||||||
PV of | $ 2,000 | = | $ 2,000 | x | 0.61302 | = | $ 1,226 | A |
Interest payable per term | at | 2.45% | on | $ 2,000 | ||||
Interest payable per term | $ 49 | |||||||
PVAF of 1$ | for | 1.90% | Interest rate for | 26 | term payments | |||
PVAF of 1$ | 20.36762 | |||||||
PV of Interest payments | = | $ 49 | x | 20.36762 | = | $ 998 | B | |
Bond Value (A+B) | $ 2,224.04 |