Answer:
Laurel bond % change = -6.6%
Hardy bond % change = -16.3%
Explanation:
current bond price $1,000
interest rate 7%
Laurel bond matures in 4 years, 8 semiannual payments
Hardy bonds matures in 15 years, 30 semiannual payments
if market interest increases to 9%
Laurel bond:
$1,000 / (1 + 4.5%)⁸ = $703.19
$35 x 6.59589 (annuity factor, 4.5%, 8 periods) = $230.86
market price = $934.05
% change = -6.6%
Hardy bond:
$1,000 / (1 + 4.5%)³⁰ = $267.00
$35 x 16.28889(annuity factor, 4.5%, 30 periods) = $570.11
market price = $837.11
% change = -16.3%