"The initial investment for a project is $133,000. The project will last for 7 years and can be salvaged for $11,970 at the end of 7 years. The annual expenses for the project are $5,200 in year 1 and increase at an annual rate of 9% in each year of the project. Assume the annual revenue remains the same in each of the 7 years. What does the annual revenue need to be in order for the internal rate of return of the project to equal 14.9%? "
Year | 0.00 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Initial investment | 133,000.00 | |||||||
Revenue | 37,301.90 | 37,301.90 | 37,301.90 | 37,301.90 | 37,301.90 | 37,301.90 | 37,301.90 | |
Annual expenses | Growing at 9% | 5200 | 5,668.00 | 6,178.12 | 6,734.15 | 7,340.22 | 8,000.84 | 8,720.92 |
Salvage value | 11,970.00 | |||||||
Net cash flow | -133,000.00 | 32,101.90 | 31,633.90 | 31,123.78 | 30,567.75 | 29,961.68 | 29,301.06 | 40,550.98 |
Internal rate of return | 15% | Using IRR formula and above calculated cash flows | ||||||
So using goal seek function in excel by setting value of IRR cell to 14.9 by changing revenue cell we get the answer | ||||||||
So Annual revenue | 37,301.90 |
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