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## 02 Jul Payback Method, IRR, and NPV

Question Description
Corporate Finance

Purpose of Assignment
The purpose of this assignment is to allow the student to calculate the project cash flow using net present value (NPV), internal rate of return (IRR), and the payback methods.

Format of Submission

Students can submit this assignment in Word, using tables and appropriate white space for problem presentation.

If Word is used, you can copy/paste your work from Excel, or create a table.

The memo does not require APA format to the extent of title page or a formal paper, but do use proper business format, syntax, grammar, spelling, etc.

Students can submit this assignment in Excel, you can copy/paste your memo from Word to a sheet in Excel as a picture.

Students are to submit just ONE document, in Word or Excel.

If you submit in Excel, the formulas can be used to solve in Excel, thus showing your work.

The memo is a separate portion from the calculations, and the calculations should be presented separately, even if discussed in the memo.
Assignment Steps

Create a 350-word memo to management including the following:

Describe the use of internal rate of return (IRR), net present value (NPV), and the payback method in evaluating project cash flows.
Describe the break-even point and its importance.
Calculate the following time value of money problems:

If you want to accumulate \$500,000 in 20 years, how much do you need to deposit today that pays an interest rate of 15%?
What is the future value if you plan to invest \$200,000 for 5 years and the interest rate is 5%?
What is the interest rate for an initial investment of \$100,000 to grow to \$300,000 in 10 years?
If your company purchases an annuity that will pay \$50,000/year for 10 years at a 11% discount rate, what is the value of the annuity on the purchase date if the first annuity payment is made on the date of purchase?
What is the rate of return required to accumulate \$400,000 if you invest \$10,000 per year for 20 years. Assume all payments are made at the end of the period.
Calculate the project cash flow generated for Project A and Project B using the NPV method.

Which project would you select, and why?
Which project would you select under the payback method? The discount rate is 10% for both projects.
Note that a similar problem is in the textbook in Section 5.1.
Calculate the project cash flow generated for Project A and Project B using the NPV method (Show your calculations): .

Project A: Invest \$10k today and receive \$5k at the end of this year and for another 2 years (in 12 mos, in 24 mos, in 36 mos), for total cash inflows of \$15k.

Project B: Invest \$55k today and receive \$20k at the end of this year and for another 2 years (in 12 mos, in 24 mos, in 36 mos), for total cash inflows of \$60k.

Sample Template for Project A and Project B:

table row blank cell bold italic I bold italic n bold italic i bold italic t bold italic i bold italic a bold italic l bold space bold italic I bold italic n bold italic v bold italic e bold italic s bold italic t bold italic m bold italic e bold italic n bold italic t end cell cell bold italic Y bold italic e bold italic a bold italic r bold space bold 1 end cell cell bold italic Y bold italic e bold italic a bold italic r bold space bold 2 end cell cell bold italic Y bold italic e bold italic a bold italic r bold space bold 3 end cell row cell bold italic P bold italic r bold italic o bold italic j bold italic e bold italic c bold italic t bold space bold italic A end cell cell left parenthesis 10 comma 000 right parenthesis end cell cell 5 comma 000 end cell cell 5 comma 000 end cell cell 5 comma 000 end cell row cell bold italic P bold italic r bold italic o bold italic j bold italic e bold italic c bold italic t bold space bold italic B end cell cell left parenthesis 55 comma 000 right parenthesis end cell cell 20 comma 000 end cell cell 20 comma 000 end cell cell 20 comma 000 end cell end table

“Table showing investments and returns for Project A and Project B. Project A has \$10,000 initial investment with \$5,000 returns in each of the first 3 years. Project B has \$55,000 initial investment with \$20,000 in each of the first 3 years.”

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