Question

A 10-year semi-annual coupon bond with an $1000 par value pays an annual coupon rate of 6% and the market requires 8% APR. What is the appropriate coupon, time period, and discount rate respectively that needs to be used to correctly value this bond?

Answer 1

Answer:

Coupon= $30 per period.

20 period for semi annual coupon payment.

28.148% discount rate

Explanation:

1.) Coupon rate * face value of bond = coupon

semi annual rate =6%/2=3%

Coupon= 1000 *3%= $30 per period.

2.) t= number of periods = years of maturity * coupon payment semi-annual

t= 10 * 2 = 20 periods.

3. Discount rate formula =C+[(F-P)/t] / (F+P/2)

where C=coupon payment annual

F= face value of security

P=price of security= 1000 *8%=80

t= years of maturity.

so we have⇒ 60+[(1000-80)/10]/(1000+80)/2

=152/540

=28.148%