Explanation : Conflicts between the NPV decision and IRR are due to the scale/size of the
project or the different cash flows pattern. Since the size is the same the
difference in cash flows will cause the conflict.
Explanation : The IRR would stay the same because both the initial outlay and the after-tax
cash flows halve, so that the return on each dollar invested remains the same.
All of the cash flows and their present values also reduce in half. The difference
between the total present value of the future cash flows and the initial outlay
(the NPV) also halves.
Explanation : If the cumulative cash flows in the first two years equal the outlay and
additional cash flows are not very large, this scenario is possible. For example,
assume the outlay is 100, the cash flow in Year 1 and 2 is 50 each and the
cash flow in Year 3 is 3. The required return is 10 percent. This project would
have a payback of 2.0 years, an NPV of -10.97, and an IRR of 1.94 percent.
Explanation : For these projects, a discount rate of 15.09 percent would yield the same
NPV for both (an NPV of 11.03). The cross over point needs to be before the
lower IRR (21.79).
Note: The discount rate (crossover point) at which both the projects have the
same NPV is the IRR for the differences in cash flows of the projects. For
instance, in this case, it is CF0 = 0, CF1 = -22, CF2 = -22, CF3 = -22, CF4 =
88, CPT IRR. IRR = 15.09%.