Question

Dwight Donovan, the president of Perez Enterprises, is considering two investment opportunities. Because of limited resourcesRequired A Required B Compute the approximate internal rate of return of each project. Which one should be adopted based on t

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Answer #1

Requirement A:

Project A:

Initial Investment = $115,000
Annual Cash Inflows = $54,593
Cost of Capital = 8%
Useful Life = 3 years

NPV = -$115,000 + $54,593 * PVA of $1 (8%, 3)
NPV = -$115,000 + $54,593 * 2.5771
NPV = $25,691.62

Project B:

Initial Investment = $41,000
Annual Cash Inflows = $17,070
Cost of Capital = 8%
Useful Life = 3 years

NPV = -$41,000 + $17,070 * PVA of $1 (8%, 3)
NPV = -$41,000 + $17,070 * 2.5771
NPV = $2,991.10

So, the company should accept Project A as its NPV is higher.

Requirement B:

Project A:

Initial Investment = $115,000
Annual Cash Inflows = $54,593
Useful Life = 3 years

IRR Factor = Initial Investment / Annual Cash Inflows
IRR Factor = $115,000 / $54,593
IRR Factor = 2.1065

Using PVA of $1 table values, IRR = 20%

Project B:

Initial Investment = $41,000
Annual Cash Inflows = $17,070
Useful Life = 3 years

IRR Factor = Initial Investment / Annual Cash Inflows
IRR Factor = $41,000 / $17,070
IRR Factor = 2.4019

Using PVA of $1 table values, IRR = 12%

So, the company should accept Project A as its IRR is higher.

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