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Madsen Motors's bonds have 18 years remaining to maturity. Interest is paid annually, they have a $1,000 par value, the coupon interest rate is 7%, and the yield to maturity is 8%. What is the bond's current market price? Round your answer to the nearest cent.

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Answer:

$906.30

Explanation:

Face value (FV) = $1000

Coupon payment (C) = 7% of $1000 = $70

Yield to maturity (r) = 8% = 0.08

t = 18

Number of compounding periods (n) = 1 (annually)

Using the relation:

C[( 1 - (1 + r/n)^-nt) / (r/n)] + FV / (1 + r/n)^nt

70[(1 - (1 + 0.08)^-1*18) / (0.08/1)] + 1000 / (1 + 0.08/1)^1*18

70[1 - (1.08)^-18) / 0.08] + 1000 / 1.08^18

70[(1 - 0.2502490)/0.08] + (1000 / 3.99601949918)

70(9.3718871) + 250.24902

= $906.281117

= $906.30

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