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21 January, 12:16

A newly issued bond has a coupon rate of 7 percent and semiannual interest payments. The bonds are currently priced at par. The effective annual rate provided by these bonds must be:

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  1. 21 January, 15:44
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    Answer: 7.12%

    Explanation:

    Effective Annual Interest rate is the nominal interest rate adjusted for the number of compounding periods a financial product will experience in a period of time.

    To calculate the Effective Annual Rate one can use the following formula,

    Effective Rate of Interest = (1+r/m) ^m - 1

    where r is the rate and

    M is the no of compounding periods per year which in this case would be 2 because the payments are semi annual

    Plugging in figures would give us,

    Effective Rate of Interest = (1+0.07/2) ^2 - 1

    =0.0712

    = 7.12%

    If you need any clarification do comment or react.
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