Question

Suppose that 2 years after the issue date (as in Part a) interest rates fell to 8%. Suppose further that the interest rate remained at 8% for the next 8 years. What would happen to the price of the bonds over time

Answer 1

the first part of the question is missing, so I looked fro a similar one:

Suppose Hillard Manufacturing sold an issue of bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.

the market price of the bond after 2 years:

PV of face value = $1,000 / (1 + 4%)¹⁶ = $533.91

PV of coupon payment = $50 x 11.652 (PV annuity factor, 4%, 16 periods) = $582.60

market price = $1,116.51

the market price of the bond after 5 years:

PV of face value = $1,000 / (1 + 4%)⁶ = $790.31

PV of coupon payment = $50 x 5.2421 (PV annuity factor, 4%, 6 periods) = $262.11

market price = $1,052.42

the market price of the bond after 7 years:

PV of face value = $1,000 / (1 + 4%)² = $924.56

PV of coupon payment = $50 x 1.8861 (PV annuity factor, 4%, 2 periods) = $94.31

market price = $1,018.87