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Accounting Help: Present Value of Bonds Payable; Premium?

Mason Co. issued $450,000 of four-year, 12% bonds with interest payable semiannually, at a market (effective) interest rate of 10%.

Determine the present value of the bonds payable (using the present value tables), round to the nearest dollar.

1 Answer

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  • Sandy
    Lv 7
    8 years ago
    Favorite Answer

    To calculate the Price of the bond, we’ll use the following symbols:

    (pv1,i,n) = present value of $1 discounted at i%, n periods from the present

    (pva,i,n) = present value of an annuity of $1 discounted at i%, for n periods

    Since interest is payable semiannually, there are 8 interest periods (4 yrs x 2), and the market interest rate in the formula is 5%, and the stated interest rate is 6%

    The price of the bond is $450,000(pv1, 5%, 8) + 6%($450,000)(pva, 5%, 8)

    Using the npv tables attached, this

    = $450,000(0.67684) + 6%($450,000) (6.46321)

    = $304,578 + $174,507

    = $479,085

    Answers may be off by a dollar or two, depending on the number of decimal places you use in the formula

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