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11 April, 08:50

Mongoose Trucking just signed a $3.8 million contract. The contract calls for a payment of $1.1 million today, $1.3 million one year from today, and $1.4 million two years from today. What is this contract worth today at a discount rate of 8.7 percent?

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  1. 11 April, 09:05
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    The present value or the worth of the contract today is 3.48 million

    Explanation:

    The present value of the contract can be calculated using the following formula where we will dicount back the cash flows to calculate the present value.

    The present value = CF1 / 1+discount rate + CF2 / (1+discount rate) ² + ...

    The present value = 1100000 + 1300000 / 1.087 + 1400000 / 1.087² = $3480817.37 or 3.48 million

    The present value or the worth of the contract today is 3.48 million
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