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20 March, 05:40

The Petit Chef Co. has 11.3 percent coupon bonds on the market with eight years left to maturity. The bonds make annual payments and have a par value of $1,000. If the bonds currently sell for $1,127.30, what is the YTM?

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  1. 20 March, 05:48
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    The yield to maturity is 9.127%

    Explanation:

    The yield to maturity is the yield or return on the bond as a percentage of its current price in the market. The formula to calculate the yield to maturity is:

    YTM = C + { (F - P) / n} / { (F + P) / 2}

    Where,

    C is the coupon payment / interest payment on the bond F is the face value of the bond P is the current market price of the bond n is the years to maturity

    The coupon payment = 1000 * 0.113 = 113 per year

    So, YTM = 113 + { (1000 - 1127.3) / 8} / { (1000 + 1127.3) / 2}

    YTM = 0.09127 or 9.127%
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