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8 August, 09:38

You are considering two independent projects with the same discount rate of 11 percent.

Project A costs $284,700 and has cash flows of $75,900, $106,400, and $159,800 for Years 1 to 3, respectively.

Project B costs $115,000, and has a cash flow of $50,000 a year for Years 1 to 3.

You have sufficient funds to finance any decision you make.

Which project or projects, if either, should you accept and why?

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  1. 8 August, 10:02
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    Project B should be accepted.

    Explanation:

    Giving the following information:

    Project A:

    Io = - $284,700

    Year 1 = $75,900

    Year 2 = $106,400

    Year 3 = $159,800

    Project B:

    Io = - $115,000

    Year 1 = $50,000

    Year 2 = $50,0000

    Year 3 = $50,000

    Discount rate = 11%

    To calculate the convenience of each project, we need to calculate the Net Present Value (NPV). If the NPV is positive, the project increases the value of the company.

    NPV = - Io + ∑[Cf / (1+i) ^n]

    Cf = cash flow

    Project A:

    NPV = - 284,700 + 75,900/1.11 + 106,400/1.11^2 + 159,800/1.11^3

    NPV = - 13,120.61

    Project B:

    NPV = - $115,000 + 50,000/1.11 + 50,000/1.11^2 + 50,000/1.11^3

    NPV = 7,185.74

    Project B should be accepted.
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