FIN20014 Lecture Notes - Lecture 5: Discounted Cash Flow, Capital Budgeting, Net Present Value

Capital budgeting involves choosing projects that add value to the firm. The net present value (NPV), internal rate of return (IRR) and payback period methods are the most common approaches to project selection. At its core, capital budgeting is measuring an accounting of costs versus benefits. In a way, all business decisions are a series of capital budgeting decisions. Get it wrong, and you can destroy a company.

The capital budgeting tools help financial managers decide on the desirability of the projects. In the real world, however, managers sometimes will make decisions that don't necessarily agree with the decision rules of the payback period, NPV or IRR methods.

For example, consider the two mutually exclusive projects below.

According to the payback period, project B should be selected. Although both projects cost the same, project B has a payback period of one period, while project A will payback in roughly 1.5 periods.

Assuming the discount rate of 5%, NPV(A) = $41 and NPV(B) = $20.

This example illustrates the limitations of the payback period method. Even though the payback period method points to project B, the NPV method points to project A since it has more than twice the NPV value to that of project B. Yet the manager may choose project A. Why?

It may be that the project stakeholder is requesting a quicker return in cash.

For this discussion, create an example problem where two (or more) methods contradict each other. What would be the "appropriate" choice (which project would you choose)? In what cases would you not choose the "best" choice?

Q6) Assume yourself as a financial analyst for the Great Land Company. Then, the director of capital budgeting asks you to analyse two proposed capital investments named Project A and Project B. Each project has a cost of 900,000 birr, and the cost of capital (the required rate of return) for each project is 10%.  The information on the projects’ expected net cash flows are as follows with the present value of 1 birr at 10%.

Required:

1. Calculate each project’s payback period (PBP) and determine which project is preferable as per PBP results. (2 pts)
2. Calculate each project’s net present value (NPV). (2 Pts)
3. Determine and justify which project or projects should be accepted as per NPV results if they are independent projects. (2Pts).
4. Determine and justify which project or projects should be accepted as per NPV if they are mutually exclusive projects. (2Pts).
5. Calculate the internal rate of return (IRR) for each project and determine whether the projects are accepted or rejected as per IRR result and also determine which project is preferable based on IRR. (2Pts)
6. Discuss the relative strengths and limitations of the capital budgeting decision criteria that you have used above (Payback period, NPV and IRR).( 3Pts)

Year/Project A/ProjectB

1$ (43,500.00)$ (43,500.00)

2 $ 21,400.00 $ 6,400.00

3 $ 18,500.00 $ 14,700.00

4 $ 13,800.00 $ 22,800.00

5 $ 7,600.00 $ 25,200.00

1. Using the above cash flows, calculate the following for each project. Assume a 11% required return a. NPV b. Payback Period c. Discounted Payback Period d. IRR e. MIRR (Combination Approach: Use discount rate given and reinvestment rate of 8%) 2. Assuming independent projects, provide an accept/reject decision for each capital budgeting tool a. Assume payback period criteria is 2.5 years b. Assume discounted payback period criteria is 3 years 3. Assuming mutually exclusive projects, which project should be selected? Why?