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22 September, 05:39

A 15 year, $1,000 par value bond has an 8% semi-annual payment coupon. The bond currently sells for $925. if the yield to maturity remains at it's current rate, what will the price be 5 years from now?

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  1. 22 September, 06:19
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    First, find the YTM of the bond using the following inputs on a financial calculator;

    N = 15*2 = 30 semiannual payments

    PV = - 925

    Semiannual coupon payment; PMT = (8%/2) * 1000 = 40

    FV = 1,000

    then CPT I/Y = 4.458%

    Annual rate = 4.458% * 2 = 8.92%

    Next, use the YTM above and change the time to maturity to (15-5) = 10 years or 20 semiannuals. Therefore, the price at year 5 will be as follows;

    N = 10*2 = 20

    Semiannual coupon payment; PMT = 40

    FV = 1,000

    Semiannual rate; I/Y = 4.458%

    then CPT PV = 940.206

    The price at year 5 will be $940.21
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