Question

Bond A offers a coupon rate of 12%, has a remaining life of 10 years and...

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

Homework Answers

Answer #1

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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