Medium1 markMultiple Choice
Area 1: Business AnalysisBusiness AnalysisPerformance MetricsROI

CPA · Question 12 · Area 1: Business Analysis

A company has a Return on Investment (ROI) of 18% and a Residual Income (RI) of $20,000. The company's required rate of return (hurdle rate) is 12%. What is the company's Average Invested Capital?

Answer options:

A.

$111,111

B.

$166,667

C.

$333,333

D.

$1,000,000

How to approach this question

Use the formula: Residual Income = (ROI - Cost of Capital) * Invested Capital. Rearrange to solve for Capital.

Full Answer

C.$333,333✓ Correct
The spread is 18% - 12% = 6%. This 6% excess return on capital equals $20,000. Therefore, Capital = $20,000 / 0.06 = $333,333.

Common mistakes

Trying to solve for Income first without realizing you can solve directly using the percentage spread.

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