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Zook as bellows. Using EUAnnuity Benefit and 15 Cost 5. We have three alternatives. Costs, benefits, RoR and years are as bel
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Answer #1

Alpha

Net present value of benefit

=158.3(PVIFA r10%, n5year)

=158.3(3.7908)

=600.08

Ratio=NPVbenefit ÷cost

=600.08/600

=1.0001

Beta

Net present value of benefit

=139.7(PVIFA r10%, n5year)

=139.7(3.7908)

=529.57

Ratio=NPV benefit /cost

=529.7/500

=1.06

Gamma

Net present value of benefit

=58.3(PVIFA r10%, n5year)

=58.3(3.7908)

=221

Ratio = NPV benefit/cost

=221/200

=1.11

Which one is select?

Gamma has a highest ratio among all three investment alternatives so, GAMMA will be selected.

NOTE: 3.7908 amount is taken from the present value interest factor annuity table. As 10% interest rate and 5 year.

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