FIN - Consider the project with the following expected cash flows

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?
• If the discount rate is 4%, what is this project's net present value?
• If the discount rate is 10%, what is this project's net present value?
• 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)