HFT 4464

1. HFT 4464 Chapter 10 Capital Budgeting Decision Methods

2. Organization of Chapter 10 • Capital budgeting decision methods: • Payback period • Discounted payback period • Net present value • Profitability index • Internal rate of return • Modified internal rate of return

3. Project Cash Flows • The capital budgeting decision is essentially based upon a cost/benefit analysis. • We call the cost of a project the net investment. • The benefits from a project are the future cash flows generated. We call these the net cash flows.

4. Capital Budgeting Decision Methods • Capital budgeting decision methods essentially compare a project’s net investment with its net cash flows. Project acceptance or rejection is based upon this comparison.

5. Payback Period • A project’s payback period is the number of years its takes for a project’s net cash flows to pay back the net investment. Shorter paybacks are better than longer paybacks.

6. Payback Period • Suppose a project has a $200,000 net investment and net cash flows (NCFs) of $70,000 annually for 7 years. What is the payback? • In 3 years, the project will generate a total of $210,000 from net cash flows. Therefore, the payback must be a little less than 3 years. It is more precisely:

7. Payback Period • The payback period is useful as a measure of a project’s liquidity risk, but it has several weaknesses: • Does not account for the time value of money • No objective criterion for what is an acceptable payback period • Cash flows occurring after the payback period have no impact upon the payback computation.

8. Discounted Payback Period • This improves upon the payback period by taking into account the time value of money. • A project’s discounted payback period is the number of years it takes for the net cash flows’present values to pay back the net investment. Again, shorter paybacks are better than longer paybacks.

9. Discounted Payback Period • We will compute the discounted payback period (DPP) using the same example. We will need a required rate of return for the computation. Let’s use 10%. • The following table is used to compute the project’s DPP.

10. Discounted Payback Period After 3 years, there is still $25,921 that has not been paid back by the net present values of the cash flows

11. Discounted Payback Period • The DPP will be 3 years plus whatever proportion of year 4 is needed to pay back the final $25,921. • The discounted payback is 3.54 years. This project recovers its net investment in 3.54 years when considering the time value of money.

12. Discounted Payback Period • The DPP is an improvement upon the payback period in 2 ways: • The DPP takes into account the time value of money. • There is an objective criterion for an acceptable DPP if a project has normal cash flows. Under these circumstances a project is acceptable if the DPP is less than the economic life of the project.

13. Net Present Value • A project’s net present value (NPV) is the most straightforward application of cost-benefit analysis. • The cost is the net investment. • The benefit is the sum of the present values. • NPV is the sum of the present values of the net cash flows minus the net investment. The cash flows are discounted at a project’s required rate of return.

14. Net Present Value • Using the same example, the NPV with a 10% required rate of return is: • NPV = ( Annual Payment * PVA ) – Net Investment • NPV = ( $70,000 * 3.7908 ) – 200,000 • NPV = $65,355 • A positive NPV indicates a project is acceptable. • A negative NPV indicates a project is not acceptable.

15. Net Present Value • Best measure of project profitability. • Does not provide much information about project risk. • Is consistent with maximizing firm value.

16. Profitability Index • A project’s profitability index (PI) also compares a project’s costs to its benefits. • Cost and benefits for the PI are measured the same as for the NPV. • The comparison of costs and benefits is different for the PI than for the NPV. It is the ratio of a project’s benefit to its cost. • A project’s PI is the sum of the present values of the net cash flows divided by the net investment.

17. Profitability Index • Using the same example and a 10% required rate of return, the project’s PI is • PI = ( Annual Payment * PVA ) / Net Investment • PI = ( $70,000 * 3.7908 ) / $200,000 • PI = $265,355 / $200,000 • PI = 1.33

18. Profitability Index • A PI greater than 1.0 indicates a project is acceptable. • A PI less than 1.0 indicates a project is not acceptable. • The PI is most useful when a firm is facing capital rationing. The PI indicates which projects generate the greatest NPV per dollar invested.

19. Profitability Index • A relative measure of profitability • Provides some information about project risk • May not rank mutually exclusive projects correctly

20. Internal Rate of Return • An internal rate of return (IRR) is a project’s true annual percentage rate of return based upon the estimated cash flows. • IRR can also be defined as the interest rate causing a project’s NPV to be equal to zero. Therefore, the IRR equation is adapted from the NPV equation.

21. Internal Rate of Return • Using the same example, the IRR equation is: • 0 = ( Annual Payment * PVA ) – 200,000 • 0 = ( 70,000 * PVA ) – 200,000 • 200,000 = 70,000PVA • 2.8571424 = PVA (factor) • IRR equals 22.11%.

22. Internal Rate of Return • A project is: • Acceptable if the IRR > required rate of return. • Unacceptable if the IRR < required rate of return. • Since our required rate of return is 10% then we will accept the project

23. Internal Rate of Return • A relative measure of profitability • Provides some information about project risk • May not rank mutually exclusive projects correctly

24. Modified Internal Rate of Return • A project’s modified internal rate of return (MIRR) is the interest rate equating a project’s investment costs with the terminal value of the project’s net cash flows. • The present value of a project’s investment costs is called the beginning value. • The future value of a project’s net cash flows is called the terminal value.

25. Modified Internal Rate of Return • A project’s beginning value is the sum of the present values of all investment cash outflows for a project. • If all investment cash outflows occur at the very beginning (time = 0), then the beginning value equals the net investment. • If investment outlays occur over several years, the discount rate used to compute present values is usually the required rate of return.

26. Modified Internal Rate of Return • A project’s terminal value is the sum of the future values of the net cash flows at the end of the project’s economic life. • The interest rate used to compute the future values is usually the required rate of return.

27. Modified Internal Rate of Return • Using the same example, the project’s beginning value is just the net investment of $200,000. The project’s terminal value (TV) is: • TV = Annual Payment * FVA • TV = $70,000 * 6.1051 • TV = $427,357

28. Modified Internal Rate of Return • The project’s MIRR equates the PV of the beginning value with the FV of the terminal value: • MIRR Formula • Net Investment = TV * PVLS • 200,000 = 427,357 * PVLS • 0.4679928 = PVLS (factor) • The MIRR equals 16.40%.

29. Modified Internal Rate of Return • A project is: • Acceptable if the MIRR > required rate of return. • Unacceptable if the MIRR < required rate of return. • In our example, the project is acceptable since the 16.40% MIRR is greater than the 10% required rate of return.

30. Modified Internal Rate of Return • A relative measure of profitability • Provides some information about project risk • May not rank mutually exclusive projects correctly if scale differences exist between projects

31. Independent Projects and Decision Making • An independent capital budget project presents a standalone decision. A single project is simply evaluated to determine if it is expected to increase firm value or decrease firm value. • If a project has normal cash flows and is independent, then any of the methods besides payback period can be used to determine acceptability.

32. Independent Projects and Decision Making • An independent, normal project is acceptable if • Discounted payback period < economic life • Net present value > 0 • Profitability index > 1.0 • Internal rate of return > required rate of return • Modified IRR > required rate of return

33. Mutually Exclusive Projects and Decision Making • Mutually exclusive capital budgeting decisions require the evaluation of several projects to determine the one project that maximizes firm value. • All the mutually exclusive projects need to be ranked with only the best project accepted. • The project with the highest NPV is by definition the project expected to maximize firm value.

34. Mutually Exclusive Projects and Decision Making • Other methods besides NPV may not rank projects correctly if: • Projects have scale differences—net investments are different sizes. • Projects have cash flow timing differences. • Cash flows are not normal—one or more future net cash flows are negative.

35. Mutually Exclusive Projects and Decision Making • When projects have scale differences: • Only the NPV will definitely rank projects correctly. • The payback period, DPP, PI, IRR, and MIRR may not rank projects correctly.

36. Mutually Exclusive Projects and Decision Making • When projects have cash flow timing differences: • The NPV, PI, and MIRR will rank projects correctly. • The payback period, DPP, and IRR may not rank projects correctly.

37. Mutually Exclusive Projects and Decision Making • When a project’s cash flows are not normal: • The NPV, PI, and MIRR will rank projects correctly. • The payback period, DPP, and IRR may not rank projects correctly.

38. Summary of Chapter 10 • The NPV is the single best measure of a project’s profitability. • The PI, IRR, and MIRR provide a measure of a project’s margin of safety. • The payback period and DPP provide a measure of liquidity risk.

39. Homework Problems 1,2,3