Answer:
Price change in dollars = $104.22
% decrease in price of dollars = 11.13%
Explanation:
We assume the corporate bond have a face value of $1,000
Face Value = $1000
Coupon = 6.5%*1000/2 =32.50
Number of Periods = 15*2 =30
Semi annual rate of BBB bond = 7.2%/2 =3.6%
Price of BBB Bond = PV of Coupons + PV of Par Value =
Price of BBB Bond = 32.50*(((1-(1+3.6%)^-30)/3.6%)+1000/(1+3.6%)^30
Price of BBB Bond = $936.43
Semiannual Discount Rate for BB bond = 8.5%/2 = 4.25%
Price of BB Bond = PV of Coupons + PV of Par Value
Price of BB Bond = 32.50*(((1-(1+4.25%)^-30)/4.25%)+1000/(1+4.25%)^30
Price of BB Bond= $832.21
Price change in dollars = $936.43 - $832.21
Price change in dollars = $104.22
% decrease in price of dollars = $104.22 / $936.43
% decrease in price of dollars = 0.111295025
% decrease in price of dollars = 11.13%
