Assume that the project is expected to return monetary benefits of $20,000 the first year, and increasing benefits of $5,000 until the end of project life (year 1 = $20,000, year 2 = $25,000, year 3 = $30,000). The project also has one-time costs of $30,000, and fixed recurring costs of $10,000 until the end of project life. The project has a discount rate of 8% and a three-year time horizon.
Calculate overall overall return on investment (ROI) of the project at the end of project life.
First, we need to find the future value of the cash flows from year 1 to year 3.
CF1 = Benefit - fixed recurring costs = 20,000 - 10,000 = 10,000
CF2 = Benefit - fixed recurring costs = 25,000 - 10,000 = 15,000
CF3 = Benefit - fixed recurring costs = 30,000 - 10,000 = 20,000
We need to find the future value at year 3
FV3 = CF1 * (1 + r)^2 + CF2 * (1 + r)^1 + CF3
FV3 = 10,000 * (1 + 0.08)^2 + 15,000 * (1 + 0.08)^1 + 20,000
FV3 = 11,664 + 16,200 + 20,000
FV3 = 47,864
ROI at year 3 = FV3/Initial investment - 1
ROI at year 3 = 47,864/30,000 - 1
ROI at year 3 = 0.5954666667
ROI at year 3 = 59.54666667%
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