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27 March, 11:28

A local newspaper headline blared, "Bo Smith Signed for $30 Million." A reading of the article revealed that on April 1, 2014, Bo Smith, the former record-breaking running back from Football University, signed a $30 million package with the Dallas Rangers. The terms of the contract were $3 million immediately, $2.4 million per year for the first five years (with the first payment after one year) and $3 million per year for the next five years (with the first payment at year 6). If Bo's interest rate is 8% per year, what would his contract be worth at the time he signs it?

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  1. 27 March, 11:34
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    PV = 20.734,618.17

    Explanation:

    Giving the following information:

    Bo Smith signed a $30 million package with the Dallas Rangers. The terms of the contract were $3 million immediately, $2.4 million per year for the first five years (with the first payment after one year) and $3 million per year for the next five years (with the first payment at year 6). Bo's interest rate is 8%.

    We need to use the following formula:

    NPV = [Cf / (1+i) ^n]

    Cf = cash flow

    NPV = 3000000 + 2,400,000/1.08 + 2,400,000/1.08^2 + ... + 3,000,000/1.08^10

    NPV = 20.734,618.17
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