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? 6 00018 00012 000

A machine is expected to save €6 000, €18 000, €12 000 at the end of years 1 to 3, after which it is worthless. The required return is 8%. What is the most the company should pay for the machine today? Find PV.

r = 8%CF1 = 6 000CF2 = 18 000CF3 = 12 000
PV = €
2.Easy
years012345−10 0002 5002 5002 5002 5002 500

A project costs €10 000 today and returns €2 500 at the end of each year for 5 years. The required rate of return is 8%. Find the profitability index PI.

C0 = €10 000CF = €2 500n = 5r = 8%
PI =
3.Medium
years01234−20 0008 0006 00010 0004 000

An investment of €20 000 gives these cash flows at the end of years 1 to 4: €8 000, €6 000, €10 000, €4 000. The cost of capital is 8%. Find the net present value NPV.

r = 8%CF0 = −20 000CF1 = 8 000CF2 = 6 000CF3 = 10 000CF4 = 4 000
NPV = €
4.Medium
years0123−60 00017 00030 00025 000

An investment of €60 000 gives these cash flows at the end of years 1 to 3: €17 000, €30 000, €25 000. The cost of capital is 10%. Find the net present value NPV.

r = 10%CF0 = −60 000CF1 = 17 000CF2 = 30 000CF3 = 25 000
NPV = €
5.Hard
years0123−40 00027 00027 00023 000

A project costs €40 000 and returns €27 000, €27 000, €23 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.

CF0 = −40 000CF1 = 27 000CF2 = 27 000CF3 = 23 000
IRR = %
6.Hard
years012−25 00017 00018 500

A project costs €25 000 and returns €17 000, €18 500 at the end of years 1 to 2. Find its internal rate of return IRR in percent.

CF0 = −25 000CF1 = 17 000CF2 = 18 500
IRR = %

Answer key

  1. 1. PV = 30514 €
  2. 2. PI = 0.9982
  3. 3. NPV = 3430 €
  4. 4. NPV = −969.2 €
  5. 5. IRR = 42.9 %
  6. 6. IRR = 26.5 %

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