7. Understanding the NPV profile

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

If the weighted average cost of capital (WACC) for each project is 18%, do the NPV and IRR methods agree or conflict?

>The methods agree.

>The methods conflict.

A key to resolving this conflict is the assumed reinvestment rate. The IRR calculation assumes that intermediate cash flows are reinvested at the

>required rate of return

>internal rate of return IRR

>modified internal rate of return MIRR

, and the NPV calculation implicitly assumes that the rate at which cash flows can be reinvested is the .

>modified internal rate of return MIRR

>internal rate of return IRR

>required rate of return

As a result, when evaluating mutually exclusive projects, the

>IRR method

>NPV method

is usually the better decision criterion.