1. Madsen Motors's bonds have 6 years remaining to maturity. Interest is paid annually, they have a $1,000 par value, the coupon interest rate is 11%, and the yield to maturity is 14%. What is the bond's current market price? Round your answer to the nearest cent.
$___
2. A bond has a $1,000 par value, 8 years to maturity, and a 6% annual coupon and sells for $930.
a. What is its yield to maturity (YTM)? Round your answer to two decimal places.
$____
b. Assume that the yield to maturity remains constant for the next four years. What will the price be 4 years from today? Do not round intermediate calculations. Round your answer to the nearest cent.
$____
3. Nesmith Corporation's outstanding bonds have a $1,000 par value, a 7% semiannual coupon, 17 years to maturity, and a 9% YTM. What is the bond's price? Round your answer to the nearest cent.
$____
1.a. n = 6
FV = 1,000
cpn = 1,000 * 0.11 = 110
r = 0.14
Bond price = $883.34
2. a. FV = 1,000
N = 8
PMT = 1,000 * 0.06 = 60
PV = -930
CPT I/Y
I/Y = 7.180487%
Yield to maturity = 7.18%
b. Price after 4 years,
n = 4
r = 7.180487%
FV = 1,000
cpn = 60
Price after 4 years = $960.18
3. FV = 1,000
cpn = 1,000 * 0.07/2 = 35
n = 17 * 2 = 34
r = 9%/2 = 0.045
Bond price = $827.53
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