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madsen motors's bonds have 12 years remaining to maturity. interest is paid annually, they have a $1,000 par value, the coupon interest rate is 12%, and the yield to maturity is 14%. what is the bond's current market price? round your answer to the nearest cent.

Answer :

Market Value of the Bond is $304 when bonds have 12 years remaining to maturity and  interest is paid annually, they have a $1,000 par value.

According to given data

Assuming the Face value of the bond is $1,000

Coupon payment = C = $1,000 x 12% = $120 annually

Number of periods = n = 12 years =

Current Yield = r = 14% / 2  = 7% semiannually

Market Value of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ $1,000 / ( 1 + r )^n ]

Market Value of the Bond = $120 x [ ( 1 - ( 1 + 14% )^-12 ) / 14% ] + [ $1,000 / ( 1 + 14% )^12 ]

Market Value of the Bond = $96 + $ 208= $304

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