Summary
Highlights
The video introduces problems with the Internal Rate of Return (IRR), assuming prior knowledge from an overview video. It reiterates that IRR aligns with Net Present Value (NPV) for independent projects with conventional cash flows. Conventional cash flows involve an initial negative outflow followed by positive inflows. The first problem discussed is when projects have unconventional cash flows.
Unconventional cash flows are defined as a mix of positive and negative cash flows throughout a project's life. Using an example, the video demonstrates how calculating NPV at various discount rates for such a project can result in a graph showing two points where NPV equals zero, indicating multiple IRRs. In the example, two IRRs are found at 25% and 33.3%, which complicates decision-making as financial calculators often only provide one IRR. This violates the established rule that a project is accepted if its discount rate is less than the IRR for a positive NPV, as the NPV can be negative even below one of the IRRs.
The second problem arises when choosing between mutually exclusive projects. An example is provided with two projects, Project A and Project B, both requiring an initial investment of $100 but with different cash flow patterns. Project A has an IRR of 24%, and Project B has an IRR of 21%. Based solely on IRR, Project A appears more attractive. However, the video emphasizes that this decision depends on the company's discount rate or required rate of return.
To illustrate the inconsistency, the NPVs of both projects are calculated at various discount rates and then plotted on a graph. This graph reveals a 'crossover rate' at 11.1%, where both projects have the same NPV (approximately $26). Below this crossover rate, Project B (the one with the lower IRR) actually has a higher NPV. Above the crossover rate, Project A (with the higher IRR) has a higher NPV. This demonstrates that for mutually exclusive projects, solely relying on IRR can lead to incorrect decisions because the project with the higher IRR doesn't always yield the higher NPV, depending on the discount rate.
In conclusion, the video summarizes the two main problems with IRR: multiple IRRs with unconventional cash flows and misleading results when comparing mutually exclusive projects. It reiterates that IRR is reliable and aligns with NPV decisions only when projects are independent and have conventional cash flows. For other scenarios, NPV is a more robust decision-making tool.