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    PracticeCPA®CPA BAR Practice Exam 3Question 09
    Medium1 markMultiple Choice
    Area I: Business AnalysisBusiness AnalysisInvestment Decisions

    CPA · Question 09 · Area I: Business Analysis

    Project Alpha requires an initial investment of $200,000. It is expected to generate annual cash flows of $60,000 for 5 years. At the end of year 5, the equipment can be sold for $20,000. The company's required rate of return is 10%. The present value factors for 10% are:<br/>- PV of $1 (n=5): 0.621<br/>- PV of Annuity (n=5): 3.791<br/><br/>What is the Net Present Value (NPV) of the project?

    Answer options:

    A.

    $27,460

    B.

    $39,880

    C.

    $42,300

    D.

    $239,880

    How to approach this question

    Calculate PV of annual cash flows (Annuity factor). Calculate PV of salvage value (Single sum factor). Sum them and subtract Initial Investment.

    Full Answer

    B.$39,880✓ Correct
    PV of Annual Cash Flows: $60,000 * 3.791 = $227,460<br/>PV of Salvage Value: $20,000 * 0.621 = $12,420<br/>Total PV of Inflows: $239,880<br/>Less: Initial Investment: ($200,000)<br/>NPV: $39,880

    Common mistakes

    Forgetting salvage value; using wrong PV factor; not subtracting initial investment.
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