1. Investment Decision Rules 10/20/05

2. Investment decision revisited Acceptable projects are those that yield a return greater than the minimum acceptable hurdle rate with adjustments for project riskiness. We know now how to calculate the acceptable hurdle rate (cost of capital), and relevant project cash flows. The final step in the process is to evaluate the project. This entails understanding and applying the appropriate investment decision tools. We must also understand their benefits and drawbacks.

3. Accounting income-based investment decision rules Return on Capital This measures the return to all capital providers (equity and debt) ROC = EBIT(1-t) / (average BV of investment + Total working capital investment) If ROC > cost of capital, then project is acceptable Note: You can assess the collective quality of a firm’s investments by measuring ROC as: ROC = EBIT(1-t) / (BV of equity + BV of debt)

4. Problems with accounting return approaches Changing depreciation methods may result in different decisions Ignores the time value of money For projects without a significant investment, these measures have less meaning

5. Cash-flow based investment decision rules These rules modify the accounting-based rules by adding back the non-cash accounting expenses Cash Return on Capital (ROC) Cash operating income = EBIT (1-t) + Depr. And other non-cash charges Cash ROC = Cash operating income/average book value of capital If cash ROC > cost of capital, project is acceptable

6. Problems with cash return approaches Cash expenses such as working capital, etc. are not considered Ignores the time value of money

7. Discounted cash flow measures of return Net Present Value (NPV): Sum of the present values of all cash flows on the project, including the initial investment, with the cash flows being discounted at the appropriate hurdle rate (cost of capital, if cash flow is cash flow to the firm, and cost of equity, if cash flow is to equity investors) Decision Rule: Accept if NPV > 0

8. Discounted cash flow measures of return Attractive properties of NPV NPVs are additive value of the firm is the NPV of all projects adopted by the firm The additional value to the firm of divestitures and acquisitions can be calculated as Price – expected NPV Intermediate CFs are reinvested at the hurdle rate NPV calculations allow for changes in interest rates and hurdle rates

9. Discounted cash flow measures of return Why is NPV not used exclusively? Managers are more comfortable talking about percentage returns than absolute returns Capital rationing, the inability of firms to invest in all positive NPV projects, necessitates managers choosing the projects that add most value to the firm

10. Discounted cash flow measures of return Internal Rate of Return (IRR): The internal rate of return is the discount rate that sets the net present value equal to zero. It is the percentage rate of return, based upon incremental time-weighted cash flows. Decision Rule: Accept if IRR > hurdle rate Where the hurdle rate is the cost of capital if cash flow is cash flow to the firm, and cost of equity if cash flow is to equity investors

11. Discounted cash flow measures of return The multiple IRR problem The number of IRRs equals the number of sign changes in cash flows Therefore, if the sign of cash flows changes more than once during the life of the project, multiple IRRs will result In these cases, use NPV as the decision rule

12. Discounted cash flow measures of return NPV and IRR generally result in the same decision about projects. However, when the projects are mutually exclusive, differences can arise Differences in scale Capital rationing may be a factor Difference in reinvestment rate assumption

13. Capital rationing and choosing a rule If a business has limited access to capital and has a stream of surplus value projects, it is much more likely to use IRR as its decision rule. Small, high-growth companies and private businesses are much more likely to use IRR. If a business has substantial funds on hand, access to capital and limited surplus value projects, it is much more likely to use NPV as its decision rule. As firms go public and grow, they are much more likely to gain from using NPV.

14. NPV, IRR and the reinvestment rate assumption The NPV rule assumes that intermediate cash flows on the project get reinvested at the hurdle rate (which is based upon what projects of comparable risk should earn). The IRR rule assumes that intermediate cash flows on the project get reinvested at the IRR. Conclusion: When the IRR is high (the project is creating significant surplus value) and the project life is long, the IRR will overstate the true return on the project.

15. Modified IRR The modified IRR (MIRR) calculates a project’s rate of return assuming that intermediate cash flows get reinvested at the hurdle rate. The MIRR is calculated as follows: Calculate the terminal value, which is the future value of cash flows after initial investment compounded at the hurdle rate Calculate the MIRR assuming the terminal value equals the future value and initial investment equals the present value

16. What firms actually use.. Decision Rule% of Firms using as primary decision rule in 197619862000 IRR53.6%49.0%47.0% Accounting Return25.0%8.0%8.1% NPV9.8%21.0%23.3%