Part 1. Capital Budgeting Practice Problems
a. Consider the project with the following expected cash flows:
Year Cash flow 0 -$400,000 1 $100,000 2 $120,000 3 $850,000
- If the discount rate is 0%, what is the project’s net present value?
- If the discount rate is 2%, what is the project’s net present value?
- If the discount rate is 6%, what is the project’s net present value?
- If the discount rate is 11%, what is the project’s net present value?
- With a cost of capital of 5%, what is this project’s modified internal rate of return?
Now draw (for yourself) a chart where the discount rate is on the horizontal axis (the “x” axis) and the net present value on the vertical axis (the Y axis). Plot the net present value of the project as a function of the discount rate by dots for the four discount rates. connect the four points using a free hand ‘smooth’ curve. The curve intersects the horizontal line at a particular discount rate. What is this discount rate at which the graph intersects the horizontal axis?
[ Look at the graph you draw and write a short paragraph stating what the graph ‘shows”]..
b. Consider a project with the expected cash flows:
Year Cash flow
0 -$815,000
1 $141,000
2 $320,000
3 $440,000
- What is this project’s internal rate of return?
- If the discount rate is 1%, what is this project’s net present value?
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If the discount rate is 4%, what is this project’s net present value?
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If the discount rate is 10%, what is this project’s net present value?
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If the discount rate is 18%, what is this project’s net present value?
Now draw (for yourself) a chart where the discount rate is on the horizontal axis (the “x” axis) and the net present value on the vertical axis (the Y axis). Plot the net present value of the project as a function of the discount rate by dots for the four discount rates. connect the four points using a free hand ‘smooth’ curve. The curve intersects the horizontal line at a particular discount rate. What is this discount rate at which the graph intersects the horizontal axis?
[ Observe the graph and write a short paragraph stating what the graph ‘shows]
c. A project requiring a $4.2 million investment has a profitability index of 0.94. What is its net present value? (Remember: Profitability Index is defined as Present Value of the proceeds divided by the initial investment)
Part 2.
Read the article below. Then write a one-to-two page paper answering the following question:
Which method do you think is the better one for making capital budgeting decisions – IRR or NPV?
Defend your answer with references to the background materials.
Please read the following article which is available in Proquest:
Internal rate of return
Computerworld. Framingham, Feb 17, 2003, Gary H Anthes.
Abstract:
Internal rate of return (IRR) is the flip side of net present value (NPV) and is based on the same principles and the same math. NPV shows the value of a stream of future cash flows discounted back to the present by some percentage that represents the minimum desired rate of return, often a company’s cost of capital. IRR, on the other hand, computes a break-even rate of return. It shows the discount rate below which an investment results in a positive NPV and above which an investment results in a negative NPV. It is the breakeven discount rate, the rate at which the value of cash outflows equals the value of cash inflows.
Assignment Expectations
This assignment consists of a quantitative section (Part 1) and a an essay section (Part 2) below. Upload both sections as one Word document by the end of the Module.
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