Bond A offers a coupon rate of 12%, has a remaining life of 10 years and a face value of $1,000. Coupon payments for Bond A are paid semi-annually. If the yield to maturity on Bond A is 14%, what is Bond A’s current price?
a. | $1,529.70 |
b. | $1,114.70 |
c. | $1,000.00 |
d. | $894.06 |
e. | $929.76 |
Answer is as follows:
Coupon rate is 12% , since coupon are paid semiannually, hence coupon paymnet = ( coupon rate / 2 )*Face value
= (12% /2 ) * 1000
= 0.06 * 1000
= 60
Time to maturity is 10 years , So number of periods = Time to maturity * 2
= 10 * 2
= 20
Face value = 1000
Yield to maturity is 14 %, since paymnet is made semiannualy so,
Rate = yield / 2
= 14% / 2
= 7%
Price of the bond is calculated using as follows:
Price of the bond is $ 894.06. Therefore, option d. is correct.
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