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An investment project provides cash inflows of $795 per year for eight years. a) What is the project payback period if the initial cost is $3,500? b) What if the initial cost is $5,000? c) What if it is $6,500?

Questions

1. An investment project provides cash inflows of $795 per year for eight years. a) What is the project payback period if the initial cost is $3,500? b) What if the initial cost is $5,000? c) What if it is $6,500?

2. Your firm wants to choose between two project options:

  • Project A offers the following opportunity: $450,000 invested today will yield an expected income stream of $145,000 per year for five years, starting in Year 1.
  • Project B requires an initial investment of $400,000, but its expected revenue stream is: Year 1 = 0, Year 2 = $50,000, Year 3 = $200,000, Year 4 = $300,000, and Year 5 = $200,000.

Assume that a required rate of return for your company is 12% and that inflation is expected to remain steady at 5% for the life of the project. Which is the better investment? Why?

3. Your vice president informs you that she has researched the possibility of automating your organization’s order-entry system. She has projected that the new system will reduce labor costs by $25,000 each year over the next five years. The purchase price (including installation and testing) of the new system is $100,000. The system is expected to have a useful life of five years, after which time it can be sold in the secondary computer systems market for $15,000.What is the net present value of this investment if the discount rate is 8.5% per year?

4. You are considering an investment in a startup that will cost $100,000 but you will receive a cash inflow of $25,000 every year for 5 years from the sale of products the startup will manufacture. The required return is 9%, and payback cutoff is 5 years. a) What is the payback period? b) What is the discounted payback period? (assume 5% discount rate) c) What is the NPV? d) What is the IRR? e)  Should we accept the project?

5. Your company is planning to introduce a new online shopping service.  To reduce risk, senior management propose developing the service in three stages:

a) A market test for one year with a few customers at a cost of $1 million. The likelihood of success for this test is estimated to be 75%.

b) A introductory period of one year, if the market test is successful. During this test the most widely ordered products will be available through the service to a wider audience. This phase of the project is estimated to cost $2.5 million with have a 50% chance of success.

c) Full roll-out of the service at the end of the second year if the introductory period is successful. This phase is estimated to cost $15 million and is expected to start generating revenue only by the end of the third year.

There are 3 possible outcomes from the full roll out:

Outcome

Probability

Year 4 Revenue

Year 5 Revenue

Year 6 Revenue

Year 7 Revenue

Huge Success

25%

$12M

$15M

$18M

$21M

Moderate Success

50%

$7M

$9M

$11M

$13M

Failure

25%

-$3M

-$4M

-$5M

-$6M

 i) Construct a decision tree and list all the outcomes and cumulative probabilities (it may be easier to construct the tree in a different program and copy and paste into Excel)

ii) Assume all the values are present values. Should the company pursue this project based on the expected NPV?

Grading Rubric

What: An Excel (or similar) file with solutions to the five questions above posted in your Assignments Folder.

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