Andrew Industries is contemplating issuing a
30-year
bond with a coupon rate of
7.01%
(annual coupon payments) and a face value of
$1,000.
Andrew believes it can get a rating of A from Standard & Poor's. However, due to recent financial difficulties at the company, Standard & Poor's is warning that it may downgrade Andrew Industries' bonds to BBB. Yields on A-rated, long-term bonds are currently
6.56%,
and yields on BBB-rated bonds are
6.84%.
a. What is the price of the bond if Andrew Industries maintains the A rating for the bond issue?
b. What will be the price of the bond if it is downgraded?
a. What is the price of the bond if Andrew Industries maintains the A rating for the bond issue?
If Andrew maintains the A rating for the bond issue, the price of the bond is?
(Round to the nearest cent.)
Answer :
Price of Bond when credit rating was A :
Price of Bond = Interest * PVAF(6.56%,30 years) + Face Value * PVF (6.56%,30th year)
where, Interest = 1000 * 7.01% ==> 70.1
Price of Bond = 70.1 * 12.9778507803 + 1000 * 0.14865298864
Price of Bond = 909.747339699 + 148.65298864 ==> 1058.40
Price of Bond when credit rating changed to BBB :
Price of Bond = Interest * PVAF(6.84%,30 years) + Face Value * PVF (6.84%,30th year)
where, Interest = 1000 * 7.01% ==> 70.1
Price of Bond = 70.1 *12.6111255088 + 1000 * 0.13739901499
Price of Bond = 884.039898166 + 137.39901499 ==> 1021.44
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