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15 October, 16:04

McConnell Corporation has bonds on the market with 14.5 years to maturity, a YTM of 5.3 percent, a par value of $1,000, and a current price of $1,045. The bonds make semiannual payments. What must the coupon rate be on these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

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  1. 15 October, 16:19
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    5.75%

    Explanation:

    First, find the coupon payment amount. Using a financial calculator, key in the following inputs for this the bond valuation.

    Note: Make adjustment on the rate and time since the coupon payments are made semi-annually i. e 2 times a year.

    Maturity of the bond; N = 14.5*2 = 29

    Semi-annual rate; I/Y = (5.3%/2) = 2.65%

    Face value; FV = 1000

    Price of the bond or PV = - 1045

    then compute semiannual coupon payment; CPT PMT = $28.743

    Annual coupon rate is therefore = $28.743*2 = $57.486

    Coupon rate = coupon payment / face value

    Coupon rate = $57.486 / 1000

    = 0.05749 or 5.75%
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