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10 November, 20:25

A company releases a five-year bond with a face value of $1,000 and coupons paid semiannually. If market interest rates imply a YTM of 10 %, what should be the coupon rate offered if the bond is to trade at par?

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  1. 10 November, 21:06
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    the coupon rate offered if the bond is to trade at par is 5%

    Explanation:

    The Coupon Rate of Bond is the rate of payment the holder of bond expects from the Bond Issuer.

    Note : The bond is to trade at par, therefore Fair Value or Present Value of this Bond is equal to the par value.

    pv = $1,000

    ytm = 10%

    n = 5 years

    fv = $1,000

    p/yr = 2

    pmt = ?

    Using a Financial Calculator:

    pmt = 50

    Therefore Coupon Rate = 50/1000*100 = 5%
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