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10 November, 18:52

On September 30, 2018, the San Fillipo Corporation issued 8% stated rate bonds with a face amount of $340 million. The bonds mature on September 30, 2038 (20 years). The market rate of interest for similar bonds was 10%. Interest is paid semiannually on March 31 and September 30.

Required:

Determine the price of the bonds on September 30, 2018. (Enter your answers in whole dollars. Round your final answers to nearest whole dollar amount.)

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  1. 10 November, 18:57
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    The price of the bond is $281.6 million

    Explanation:

    In order to calculate the price of the bond we need to know its par value/future value which is given to us as $340 million, the interest rate which is also given to us as 10%, the payments which are 8% of the face value and number of periods to maturity. However because this is a semi annual bond we will have to adjust the interest rate, payments and number of periods accordingly.

    Interest = 10/2 = 5% because semi annual

    Payment = 0.08 * 340 million * 0.5 = 13.6 million

    Number of periods = 20*2=40

    Now we will input the following into a financial calculator in order to find the price of the bond.

    FV = 340 million

    I=5

    N = 40

    PMT = 13.6 million

    Compute PV=281.6 million
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