NPV & IRR worksheet with answers

Free printable NPV & IRR worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
years0123? 12 0006 0005 000

A machine is expected to save €12 000, €6 000, €5 000 at the end of years 1 to 3, after which it is worthless. The required return is 6%. What is the most the company should pay for the machine today? Find PV.

r = 6%CF1 = 12 000CF2 = 6 000CF3 = 5 000
PV = €
2.Easy
years0123−80 00041 50041 50041 500

A project costs €80 000 today and returns €41 500 at the end of each year for 3 years. The required rate of return is 9%. Find the net present value NPV.

r = 9%CF0 = −80 000CF1 = 41 500CF2 = 41 500CF3 = 41 500
NPV = €
3.Medium
years0123…9−200 00016 000+1%+1%…r = 11%, NPV = ?

A project costs €200 000 today. It generates €16 000 at the end of the first year, and the cash flow then grows by 1% per year forever. The cost of capital is 11%. Find the net present value NPV.

C0 = €200 000CF1 = €16 000g = 1%r = 11%
NPV = €
4.Medium
years012345−40 00010 50010 50010 50010 50016 500

A machine costs €40 000 today. It generates €10 500 at the end of each year for 5 years and can then be sold for €6 000. The cost of capital is 8%. Find the net present value NPV.

C0 = €40 000CF = €10 500S = €6 000n = 5r = 8%
NPV = €
5.Hard
years0123…8−50 0005 500+3%+3%+3%r = 12%, NPV = ?

A project costs €50 000 today. Its cash flow is €5 500 at the end of year 1 and grows by 3% per year until the last cash flow at the end of year 8. The cost of capital is 12%. Find the net present value NPV.

C0 = €50 000CF1 = €5 500g = 3%n = 8r = 12%
NPV = €
6.Hard
years012−10 0005 5007 000

A project costs €10 000 and returns €5 500, €7 000 at the end of years 1 to 2. Find its internal rate of return IRR in percent.

CF0 = −10 000CF1 = 5 500CF2 = 7 000
IRR = %

Answer key

  1. 1. PV = 20859 €
  2. 2. NPV = 25049 €
  3. 3. NPV = −40000 €
  4. 4. NPV = 6007 €
  5. 5. NPV = −20155 €
  6. 6. IRR = 15.57 %

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