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.
Corporate Finance MCQ - Corporate Finance Section 2
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.
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.
4
Capital budgeting projects A and B have similar outlays, but different patterns of future cash flows. The required rate of return for both projects is 12 percent, at which the NPV and IRR turn out to be as follows:
| Â | Cash Flows | Â | Â | ||||
| Year   | 0 | 1 | 2 | 3 |  4 | NPV | IRR(%) |
| Project AÂ Â Â | -50 | 0 | 0 | 0 | 110 | 17.77 | 21.79 |
| Project BÂ Â Â | -50 | 22 | Â 22 | 22 | 22 | 15.02 | 27.18 |
The discount rate which would result in the same NPV for both projects is:
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%.
5
Katrina Lowry is facing multiple IRRs problem regarding an upcoming project.
| Year  | 0 | 1 | 2 |
| Cashflows | -1.6 | 10 | -10 |
The NPV is zero when the discount rate is:

