Question: If projects are mutually exclusive, only one project can be chosen. The internal rate of return (IRR) and the net present value (NPV) methods will
If projects are mutually exclusive, only one project can be chosen. The internal rate of return (IRR) and the net present value (NPV) methods will not always choose the same project. If the crossover rate on the NPV profile is below the horizontal axis, the methods will agree.
Projects W and X are mutually exclusive projects. Their cash flows and NPV profiles are shown as follows.
| Year | Project W | Project X |
|---|---|---|
| 0 | $1,000 | $1,500 |
| 1 | $200 | $350 |
| 2 | $350 | $500 |
| 3 | $400 | $600 |
| 4 | $600 | $750 |
1. If the weighted average cost of capital (WACC) for each project is 18%, do the NPV and IRR methods agree or conflict?
A. The methods agree.
B The methods conflict.
2. When there is a conflict, a key to resolving this it is the assumed reinvestment rate. The NPV calculation implicitly assumes that intermediate cash flows are reinvested at the (Required rate of return, Modified internal rate of return (MIRR), Internal rate of return (IRR)) , and the IRR calculation assumes that the rate at which cash flows can be reinvested is the (Required rate of return, Modified internal rate of return (MIRR), Internal rate of return (IRR)) As a result, when evaluating mutually exclusive projects, the (IRR method, NPV method) is usually the better decision criterion. Pick one.
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