The table below lists four mutually exclusive projects. Which project has the lowest equivalent annual cost?Assume a 10% discount rate. Total operating cost (PV) Project life (years)Project A 150000 8Project B 120000 7Project C 110000 6Project D 100000 5Project AProject DProject CProject B
Question
The table below lists four mutually exclusive projects. Which project has the lowest equivalent annual cost?Assume a 10% discount rate. Total operating cost (PV) Project life (years)Project A 150000 8Project B 120000 7Project C 110000 6Project D 100000 5Project AProject DProject CProject B
Solution
To find the project with the lowest equivalent annual cost, we need to calculate the equivalent annual cost (EAC) for each project. The EAC is the constant annual cost that would result in the same present value of costs over the project's life as the actual, possibly non-constant costs. The formula for EAC is:
EAC = PV / A, where A is the present value annuity factor for the project's life at the given discount rate.
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Calculate the EAC for each project:
Project A: 150000 / A(10%, 8 years) Project B: 120000 / A(10%, 7 years) Project C: 110000 / A(10%, 6 years) Project D: 100000 / A(10%, 5 years)
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Compare the EACs:
The project with the lowest EAC is the one with the lowest equivalent annual cost.
Without the actual calculations, it's impossible to determine which project has the lowest EAC. However, the process above outlines how you would go about finding the answer.
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