1. Unit 4 – Capital Budgeting Decision Methods
This last unit ties together everything we have covered in the first three units – the time value of money, risk and return, and cash flow forecasting – by covering methods firms can use to determine if long-term investment alternatives should be accepted or rejected
The goal is to utilize decision techniques that lead to profitable investment decisions and increase firm value

2. Three criteria we will apply for comparing different Capital Budgeting Decision Methods
A good method should incorporate the time value of money
A good method should incorporate all the relevant cash flows of the investment
A good method should provide unambiguous decisions on whether to invest or reject investment proposals

3. Decision Methods Payback Period Net Present Value (NPV)
Internal Rate of Return (IRR)

4. Method 1 – Payback Period
The payback period answers the question “How long will it take to recover the initial cost of this investment?”
The method involves summing the annual cash flows until the sum is greater than or equal to the initial project investment
The payback decision rule is: If the project payback is less than or equal to our firm’s required payback period, accept. Otherwise, reject.

5. An example of the payback period

6. Evaluating the Payback Period Method
First, realize this method gives you a measure of project time, or liquidity; it does not provide any insight into the profitability of the investment
It does not incorporate the time value of money into the analysis
It does not consider all of the project cash flows – note that the cash flow from year 5 was note included in the payback analysis
Finally, is this a good investment proposal? It depends on the firm’s internal payback requirement – if it is 2 years, this proposal would be rejected, but if it is 4 years, this is an acceptable investment. Realize the payback rule is therefore subjective and arbitrary

7. Method 2 - The Net Present Value Method
The NPV method answers the question “How much will this investment increase the firm’s value today?”
The method involves finding the present value of the future cash flow stream, and subtracting the initial investment
The NPV rule is: if the project’s NPV > 0 then accept, NPV < 0 then reject

8. An example of the Net Present Value method – assume the firm’s cost of capital, or hurdle rate, is 10%

9. Evaluating the NPV method
Since the example NPV is positive, the decision is to invest in the project
NPV is a measure of project profitability – it indicates how much the project adds to the firm’s value in present value money
NPV considers the time value of money through the discounting process
NPV considers all of the project’s cash flows, since all are discounted and summed
The NPV decision rule is clear – positive NPV projects increase firm value, while negative NPV projects decrease firm value

10. Method 3 – The Internal Rate of Return Method
The IRR method answers the question “What is the expected rate of return on this investment?”
IRR is the unique discount rate that makes the present value of the future cash flow stream equal to the initial project cost
IRR decision rule: if IRR > firm’s cost of capital (required rate of return) then invest; if IRR < cost of capital do not invest

11. An example of the Internal Rate of Return Method

12. Evaluating the IRR Method
The IRR function is a built in financial function in Microsoft Excel, as well as in financial calculators
Since the IRR > 10% in this example, the decision is to invest
The IRR method considers the time value of money, since it is the discount rate used in the analysis
The IRR does consider all of the cash flows forecasted for the projects
For independent project proposals, IRR and NPV will give consistent invest/reject decisions

13. Comparing and Contrasting NPV and IRR capital investment methods
IRR is the geometric, or compound, expected return on investment
IRR assumes all cash flows from the project are reinvested at the IRR rate
While NPV is consistent with the goal of maximizing firm value, many firms like to use IRR because it is easier to communicate an expected rate of return (a relative profitability measure) rather than an absolute euro increase in firm value

14. Possible Conflicts between NPV and IRR
If a firm is considering mutually exclusive project proposals, there are two situations where IRR and NPV may give conflicting ranking decisions
If one project is much larger than the other in terms of required investment, IRR and NPV may conflict on which is more profitable for the firm
Also, if the timing of when the cash flows occur is dramatically different between the two projects, IRR and NPV may give conflicting rankings

15. An example of conflicting rankings due to differences in the timing of the respective cash flow streams

16. Comments on previous example
Note that, while Project K has a steady cash flow stream throughout the life of the project, Project L generates the larger cash flows in its early years
Because IRR assumes reinvestment of cash flows, the larger cash flows early results in Project L having the higher IRR
However, Project K has the higher NPV
In the case of conflicts for mutually exclusive choices, NPV provides the most theoretically sound decision method, since it indicates the investment choice that provides the largest increase in firm value

17. Comparing Investments of Different Size – the Profitability Index
For two investments of different size (required amounts of investment), the NPV method can be altered to provide a relative ranking index
The Profitability Index is the ratio of the present value of the future cash flows divided by the project cost
The result is the present euro benefit per euro of required investment

18. An Example of Profitability Index

19. Notes on Profitability Index example
First,these two proposed projects have different sizes, with Project D having a much higher required investment cost
By taking the ratio of the present value of the future cash flows to the cost, we see that Project D is expected to provide 1.18 euros per each euro invested, compared to 1.16 euros per euro invested for Project E.
The decision rule for PI is; the > the PI, the better