Answer:
The bond's market price will decrease by $72.08 (1.83%) from $3,928.89 to $3,856.81.
Explanation:
bond's current market price:
$5,000 / (1 + 4.45%)¹⁶ = $2,491.35
$127.50 x 11.27483 (PV annuity factor, 4.45%, 16 periods) = $1,437.54
current market price = $3,928.89
if interests rise and YTM increases to 9.2%, then new market price:
$5,000 / (1 + 4.6%)¹⁶ = $2,434.80
$127.50 x 11.15305 (PV annuity factor, 4.45%, 16 periods) = $1,422.01
current market price = $3,856.81
