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23 August, 20:57

Rhiannon Corporation has bonds on the market with 13.5 years to maturity, a YTM of 7.4 percent, a par value of $1,000, and a current price of $1,059. The bonds make semiannual payments. What must the coupon rate be on these bonds?

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  1. 24 August, 00:06
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    The answer is = 0.081 or 8.1%

    Explanation:

    The coupon rate is the periodic payment paid by an issuer to the bondholder (investor). This payment can be semiannual or annual.

    N (Number of years) = 27 years (13.5x 2)

    I/Y (Yield to Maturity) = 3.7% (7.4% : 2)

    PV (Present Value) = $1,059

    PMT (Payment) = ?

    FV (Future value) = $1,000

    Using Financial calculator:

    The periodic payment is $40.49

    $40.49 (semi annual)

    Annual PMT is $40.49 x 2

    =$80.98

    Therefore, coupon rate is:

    $80.98 : $1,000

    =0.08098

    =0.081 or 8.1%
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