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4 August, 16:30

One year ago Lerner and Luckmann Co. issued 15-year, noncallable, 7.5% annual coupon bonds at their par value of $1,000. Today, the market interest rate on these bonds is 5.5%.

What is the current price of the bonds, given that they now have 14 years to maturity?

a) $1,077.01 b) $1,104.62 c) $1,132.95 d) $1,162.00 e) $1,191.79

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  1. 4 August, 19:31
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    e) $1,191.79

    Explanation:

    In order to find the price of a bond we need to know the future value of the bond, the interest rate on the bonds, the coupon payments and the time to maturity. In this case the future value of the bond is 1,000, the interest rate is 5.5%, the time to maturity is 14 years and the coupon payments are 7.5% which are (0.075*1,000) = 75. Now we input all these values in a financial calculator and compute the present value/price.

    FV = 1,000

    I=5.5

    N=14

    PMT = 75

    Compute PV=1,191
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