Part 1. Capital Budgeting Practice Problems
a. Consider the project with the following expected cash flows:
Year Cash flow
0 - $500,000
0 - $500,000
1 $100,000
2 $110,000
3 $550,000
• If the discount rate is 0%, what is the project's net present value?
• If the discount rate is 4%, what is the project's net present value?
• If the discount rate is 8%, what is the project's net present value?
• If the discount rate is 10%, what is the project's net present value?
• What is this project's 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 - $615,000
1 + 141,000
2 + 300,000
3 + $300,000
• What is this project's internal rate of return?
• If the discount rate is 0%, what is this project's net present value?
• If the discount rate is 4%, what is this project's net present value?
• If the discount rate is 8%, what is this project's net present value?
• If the discount rate is 12%, what is this project's net present value?
Draw 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 $3.2 million investment has a profitability index of 0.97
What is its net present value? (Remember: Profitability Index is defined as Present Value of the proceeds divided by the initial investment)
What is its net present value? (Remember: Profitability Index is defined as Present Value of the proceeds divided by the initial investment)
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