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Sagot :
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%
Price change in dollars is 104.22
And, in percentage it is 11.13%.
- The calculation is as follows:
1. 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
=32.50 × (((1-(1+3.6%)^-30) ÷ 3.6%) + 1000/(1+3.6%)^30
=936.43
Now
Semiannual Discount Rate for BB bond =8.5% ÷2 =4.25%
Price of BB Bond =PV of Coupons + PV of Par Value
=32.50 × (((1-(1+4.25%)^-30) ÷ 4.25%)+1000 ÷ (1+4.25%)^30
=832.21
So,
Price change in dollars is
= 936.43 - 832.21
= 104.22
Now
Percentage decrease in price of dollars is
= 104.22 ÷ 936.43
= 11.13%
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