Medium1 markMultiple Choice
Area I: Business AnalysisBARArea IInvestment Decisions

CPA · Question 11 · Area I: Business Analysis

Project Alpha requires an initial investment of $100,000. It is expected to generate net cash inflows of $40,000 at the end of Year 1, $40,000 at the end of Year 2, and $50,000 at the end of Year 3. The company's required rate of return is 10%.<br/><br/>Discount factors for 10%: Year 1 (0.909), Year 2 (0.826), Year 3 (0.751).<br/><br/>What is the Net Present Value (NPV) of the project?

Answer options:

A.

$30,000

B.

$6,950

C.

$106,950

D.

$5,450

How to approach this question

Multiply each cash flow by its discount factor. Sum the PVs. Subtract the initial investment.

Full Answer

B.$6,950✓ Correct
B
PV Year 1: $40,000 x 0.909 = $36,360<br/>PV Year 2: $40,000 x 0.826 = $33,040<br/>PV Year 3: $50,000 x 0.751 = $37,550<br/>Total PV of Inflows = $106,950<br/>Less Initial Investment = ($100,000)<br/>NPV = $6,950.

Common mistakes

Forgetting to subtract initial investment; using wrong discount factors.

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