Question

You are given the following information with respect to a bond: par value: 1000 term to maturity: 3 years annual coupon rate 6% payable annually You are also given that the one, two, and three year annual spot interest rates are 7%, 8%, and 9% respectively. The bond is sold at a price equal to its value. Calculate the annual effective yield rate for the bond i.

Answer 1

Answer:

Tha annual effective yield rate for the bond is:

= 6.2%

Explanation:

a) Data and Calculations:

Bond par value = $1,000

Annual coupon rate = 6%

Annual spot interest rates = 7%, 8%, and 9% for year 1, year 2, and year 3 respectively

Current value of bond = $970 ($1,000 * 99% * 99% * 99%)

Annual coupon payments = $60 * 3 = $180

Effective rate for the three years = $180/$970 * 100 = 18.6%

Annualized effective yield rate = 6.2% (18.6%/3)

OR

Annualized effective yield rate = (Annual coupon payments/Current value of bonds)

= 6.2% ($60/$970)