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Unit 10: Measuring Project Profitability




          10.4 Internal Rate of Return                                                          Notes

          The Internal Rate of Return (IRR) or Economic Rate of Return (ERR) is a rate of return used in
          capital budgeting to measure and compare the profitability of investments. It is also called the
          Discounted Cash Flow Rate of Return (DCFROR) or the Rate of Return (ROR). In the context of
          savings and loans the IRR is also called the effective interest rate. The term internal refers to the
          fact  that its calculation does not incorporate environmental factors (e.g., the interest rate or
          inflation).

          The internal rate of return on an investment or project is the “annualized effective compounded
          return rate” or “rate of return” that makes the net present value (NPV as NET*1/(1+IRR)^year)
          of all cash flows (both positive and negative) from a particular investment equal to zero.
          In more specific terms, the IRR of an investment is the discount rate at which the net present
          value of costs (negative cash flows) of the investment equals the net present value of the benefits
          (positive cash flows) of the investment.
          IRR calculations are commonly used to evaluate the desirability of investments or projects. The
          higher a project’s IRR, the more desirable it is to undertake the project. Assuming all projects
          require the same amount  of up-front investment, the project with the highest IRR would be
          considered the best and undertaken first.
          A firm (or individual) should, in theory, undertake all projects or investments available with
          IRRs that exceed the cost of capital. Investment may be limited by availability of funds to the
          firm and/or by the firm’s capacity or ability to manage numerous projects.

          10.4.1 Uses

          Because the internal rate of return is a rate quantity, it is an indicator of the efficiency, quality, or
          yield of an investment. This is in contrast with the net present value, which is an indicator of the
          value or magnitude of an investment.
          An investment is considered acceptable if its internal rate of return is greater than an established
          minimum acceptable rate  of return or cost of capital. In a  scenario where  an investment is
          considered  by a firm that has equity holders, this minimum rate is the cost of capital of the
          investment (which  may  be  determined by  the risk-adjusted  cost of  capital of  alternative
          investments). This ensures that the investment is supported by equity holders since, in general,
          an investment  whose IRR  exceeds its  cost of capital adds value for the company  (i.e., it is
          economically profitable).


               !
             Caution For some professional investors, their investment funds are committed to target
             a specified rate of return. In such cases, that rate of return should be selected as the discount
             rate for the NPV calculation.

          10.5 BCR Method

          The total discounted benefits are divided by the total discounted costs. Projects with a benefit-
          cost ratio greater than 1 have greater benefits than costs; hence they have positive net benefits.
          The higher the ratio, the greater the benefits relative to the costs. Note that simple benefit-cost
          ratio is insensitive to the magnitude of net benefits and therefore may favor projects with small
          costs and benefits over those with higher net benefits. (This problem can be eliminated by the
          use of the incremental benefit-cost ratio or the net present value.)




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