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? 8 00012 0005 000

A machine is expected to save €8 000, €12 000, €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 = 8 000CF2 = 12 000CF3 = 5 000
PV = €
2.Easy
years0123456−80 00025 50025 50025 50025 50025 50025 500

A project costs €80 000 today and returns €25 500 at the end of each year for 6 years. The required rate of return is 10%. Find the profitability index PI.

C0 = €80 000CF = €25 500n = 6r = 10%
PI =
3.Medium
years012345€20 000€1 000€1 000€1 000€1 000€1 000r = 10%, EAC = ?

A machine costs €20 000 today, lasts 5 years and costs €1 000 per year to run (paid at the end of each year). The cost of capital is 10%. Find its equivalent annual cost EAC.

C0 = €20 000M = €1 000n = 5r = 10%
EAC = €
4.Medium
years0123−30 00014 00011 0008 000

An investment of €30 000 gives these cash flows at the end of years 1 to 3: €14 000, €11 000, €8 000. The cost of capital is 5%. Find the net present value NPV.

r = 5%CF0 = −30 000CF1 = 14 000CF2 = 11 000CF3 = 8 000
NPV = €
5.Hard
years0123−10 0004 5007 0007 000

A project costs €10 000 and returns €4 500, €7 000, €7 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.

CF0 = −10 000CF1 = 4 500CF2 = 7 000CF3 = 7 000
IRR = %
6.Hard
years0123−25 0009 00013 50018 500

A project costs €25 000 and returns €9 000, €13 500, €18 500 at the end of years 1 to 3. Find its internal rate of return IRR in percent.

CF0 = −25 000CF1 = 9 000CF2 = 13 500CF3 = 18 500
IRR = %

Answer key

  1. 1. PV = 22425 €
  2. 2. PI = 1.388
  3. 3. EAC = 6276 €
  4. 4. NPV = 221.4 €
  5. 5. IRR = 35.13 %
  6. 6. IRR = 25.74 %

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