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19 May, 20:56

A project costs $91,000 today and is expected to generate cash flows of $11,000 per year for the next 20years. The firm has a cost of capital of 8 percent. Should this project be accepted, and why?

A. Yes, the project should be accepted since it has a NPV = $15,391.23.

B. Yes, the project should be accepted since it has a NPV = $13,610.89.

C. Yes, the project should be accepted since it has a NPV = $16,999.62.

D. None of these answers is correct.

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  1. 19 May, 22:23
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    C. Yes, the project should be accepted since it has a NPV = $16,999.62.

    Explanation:

    Net present value is the sum of present value of all future cash inflows and outflows of a project using discounting method by a required rate of return. It measure the net value of the project's cash flows in present value term.

    Initial Cost = $91,000

    Cash flow per yea = P = $11,000

    Number of years = n = 20 years

    Cost of capital = 8%

    PV of annuity = P [ (1 - (1 + r) ^-n) / r ]

    PV of annuity = $11,000 [ (1 - (1 + 0.08) ^-20) / 0.08 ]

    PV of annuity = $11,000 [ (1 - (1.08) ^-20) / 0.08 ]

    PV of annuity = $108,000

    Net Present value = ($91,000) + $107,999.62 = $16,999.62
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