Internal Rate of Return

Read this section about the Internal Rate of Return (IRR). Pay attention to calculating IRR, the advantages and disadvantages of using IRR, calculating multiple Internal Rates of Return, and calculating Modified Internal Rates of Return. Try the problems in this section and check your solutions.

Disadvantages of the IRR Method

IRR can't be used for exclusive projects or those of different durations; IRR may overstate the rate of return.


LEARNING OBJECTIVE

  • Describe the disadvantages of using IRR for capital budging purposes

KEY POINTS

    • The first disadvantage of IRR method is that IRR, as an investment decision tool, should not be used to rate mutually exclusive projects, but only to decide whether a single project is worth investing in.
    • IRR overstates the annual equivalent rate of return for a project whose interim cash flows are reinvested at a rate lower than the calculated IRR.
    • IRR does not consider cost of capital; it should not be used to compare projects of different duration.
    • In the case of positive cash flows followed by negative ones and then by positive ones, the IRR may have multiple values.

TERMS

  • duration

    A measure of the sensitivity of the price of a financial asset to changes in interest rates, computed for a simple bond as a weighted average of the maturities of the interest and principal payments associated with it

  • mutually exclusive

    Describing multiple events or states of being such that the occurrence of any one implies the non-occurrence of all the others.


The first disadvantage of the IRR method is that IRR, as an investment decision tool, should not be used to rate mutually exclusive projects but only to decide whether a single project is worth investing in. In cases where one project has a higher initial investment than a second mutually exclusive project, the first project may have a lower IRR (expected return), but a higher NPV (increase in shareholders' wealth) and should thus be accepted over the second project (assuming no capital constraints).


Disadvantage of IRR: NPV vs discount rate comparison for two mutually exclusive projects. Project A has a higher NPV (for certain discount rates), even though its IRR (= x-axis intercept) is lower than for project B

In addition, IRR assumes reinvestment of interim cash flows in projects with equal rates of return (the reinvestment can be the same project or a different project). Therefore, IRR overstates the annual equivalent rate of return for a project whose interim cash flows are reinvested at a rate lower than the calculated IRR. This presents a problem, especially for high IRR projects, since there is frequently not another project available in the interim that can earn the same rate of return as the first project. When the calculated IRR is higher than the true reinvestment rate for interim cash flows, the measure will overestimate–sometimes very significantly–the annual equivalent return from the project. The formula assumes that the company has additional projects, with equally attractive prospects, in which to invest the interim cash flows.

Moreover, since IRR does not consider cost of capital, it should not be used to compare projects of different duration. Modified Internal Rate of Return (MIRR) does consider cost of capital and provides a better indication of a project's efficiency in contributing to the firm's discounted cash flow.

Last but not least, in the case of positive cash flows followed by negative ones and then by positive ones, the IRR may have multiple values.

When cash flows of a project change sign more than once, there will be multiple IRRs; in these cases NPV is the preferred measure.