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
years01234? 6 0006 00018 00015 000

A machine is expected to save €6 000, €6 000, €18 000, €15 000 at the end of years 1 to 4, after which it is worthless. The required return is 15%. What is the most the company should pay for the machine today? Find PV.

r = 15%CF1 = 6 000CF2 = 6 000CF3 = 18 000CF4 = 15 000
PV = €
2.Easy
years01234? 8 0006 0008 00010 000

A machine is expected to save €8 000, €6 000, €8 000, €10 000 at the end of years 1 to 4, after which it is worthless. The required return is 9%. What is the most the company should pay for the machine today? Find PV.

r = 9%CF1 = 8 000CF2 = 6 000CF3 = 8 000CF4 = 10 000
PV = €
3.Medium
years01234−30 00015 0009 00010 0008 000

An investment of €30 000 gives these cash flows at the end of years 1 to 4: €15 000, €9 000, €10 000, €8 000. The cost of capital is 9%. Find the net present value NPV.

r = 9%CF0 = −30 000CF1 = 15 000CF2 = 9 000CF3 = 10 000CF4 = 8 000
NPV = €
4.Medium
years01234−60 00030 00013 00027 00015 000

An investment of €60 000 gives these cash flows at the end of years 1 to 4: €30 000, €13 000, €27 000, €15 000. The cost of capital is 9%. Find the net present value NPV.

r = 9%CF0 = −60 000CF1 = 30 000CF2 = 13 000CF3 = 27 000CF4 = 15 000
NPV = €
5.Hard
years0123−50 00026 50022 00037 000

A project costs €50 000 and returns €26 500, €22 000, €37 000 at the end of years 1 to 3. Find its internal rate of return IRR in percent.

CF0 = −50 000CF1 = 26 500CF2 = 22 000CF3 = 37 000
IRR = %
6.Hard
years0123…10−100 00011 000+2%+2%+2%r = 10%, NPV = ?

A project costs €100 000 today. Its cash flow is €11 000 at the end of year 1 and grows by 2% per year until the last cash flow at the end of year 10. The cost of capital is 10%. Find the net present value NPV.

C0 = €100 000CF1 = €11 000g = 2%n = 10r = 10%
NPV = €

Answer key

  1. 1. PV = 30166 €
  2. 2. PV = 25651 €
  3. 3. NPV = 4726 €
  4. 4. NPV = 9940 €
  5. 5. IRR = 30.33 %
  6. 6. NPV = −27122 €

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