Question

A company is trying to determine which projects to fund. Since the firm does not have the capital budget to fund all the projects, rank each by IRR. If the firm’s capital budget is $75,000, which projects will be funded? What will the firm’s MARR be?

Project $0 N (years) First Cost $10,000 $20,000 $30,000 $40,000 $35,000 $25,000 $20,000 Annual Benefits Salvage Value $2,500

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Answer #1

We need to find IRR for each alternative using RATE function in Excel, then arrange alternatives in increasing values of IRR,

In second step we need to find cumulative investment when an investment is done in serial order from alternative with highest IRR to the alternative with decreasing IRR

Projects N First Cost Annual Benefits Salvage value IRR Cumulative investment
1 10 10000 2500 0 21.4% 10000
7 10 20000 4200 10000 19.0% 30000
6 15 25000 5000 3000 18.6% 55000
2 10 20000 3500 5000 13.5% 75000
3 20 30000 3600 3000 10.5% 105000
4 20 40000 4500 10000 9.9% 145000
5 15 35000 4000 5000 8.4% 180000

So the firm will invest in Projects 1, 7, 6 & 2

MARR = 13.5%

Showing formula in Excel

Projects N First Cost Annual Benefits Salvage value IRR Cumulative investment
1 10 10000 2500 0 =RATE(B2,D2,-C2,E2) =10000
7 10 20000 4200 10000 =RATE(B3,D3,-C3,E3) =G2+C3
6 15 25000 5000 3000 =RATE(B4,D4,-C4,E4) =G3+C4
2 10 20000 3500 5000 =RATE(B5,D5,-C5,E5) =G4+C5
3 20 30000 3600 3000 =RATE(B6,D6,-C6,E6) =G5+C6
4 20 40000 4500 10000 =RATE(B7,D7,-C7,E7) =G6+C7
5 15 35000 4000 5000 =RATE(B8,D8,-C8,E8) =G7+C8
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