Mass Waste Disposal Inc. is considering the construction of a facility at a cost of $20 million. The project will produce positive cash flows of $7 million per year for the next 4 years but the 5th and final year will have a net negative cash flow of $5 million. If the reinvestment rate is 10% and the cost of capital is 9%, the MIRR of this project is ________ and the project should be ________. (accepted/rejected)
As per MIRR formula: | ||||||
MIRR = (Future value of cash inflows/Present value of cash outflows)^(1/n)-1 | ||||||
Year | Cash Outflows | PVF at 9% | Present value | |||
0 | -20000000 | 1 | -20000000 | |||
5 | -5000000 | 0.649931386 | -3249657 | |||
Total | -23249657 | |||||
Year | Cash inflows | FVF at 10% | Future Value | |||
1 | 7000000 | 1.4641 | 10248700 | |||
2 | 7000000 | 1.331 | 9317000 | |||
3 | 7000000 | 1.21 | 8470000 | |||
4 | 7000000 | 1.1 | 7700000 | |||
Total | 35735700 | |||||
MIRR = (35735700÷23249657)^(1/5)-1 | ||||||
MIRR = | 8.98% | |||||
Project should be rejected |
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