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
years01234−50 00019 00019 50017 00016 500

A project costs €50 000 today and returns €19 000, €19 500, €17 000, €16 500 at the end of years 1 to 4. Assume cash flows arrive evenly through each year. Find the payback period PB in years.

CF0 = −50 000CF1 = 19 000CF2 = 19 500CF3 = 17 000CF4 = 16 500
PB = years
2.Easy
years0123−50 00026 00026 00026 000

A project costs €50 000 today and returns €26 000 at the end of each year for 3 years. The required rate of return is 10%. Find the net present value NPV.

r = 10%CF0 = −50 000CF1 = 26 000CF2 = 26 000CF3 = 26 000
NPV = €
3.Medium
years0123…10€80 000€1 500€1 500€1 500€1 500r = 5%, EAC = ?

A machine costs €80 000 today, lasts 10 years and costs €1 500 per year to run (paid at the end of each year). The cost of capital is 5%. Find its equivalent annual cost EAC.

C0 = €80 000M = €1 500n = 10r = 5%
EAC = €
4.Medium
years0123…8€20 000€1 500€1 500€1 500€1 500r = 8%, EAC = ?

A machine costs €20 000 today, lasts 8 years and costs €1 500 per year to run (paid at the end of each year). The cost of capital is 8%. Find its equivalent annual cost EAC.

C0 = €20 000M = €1 500n = 8r = 8%
EAC = €
5.Hard
years012345−50 00015 00015 00015 00015 00015 000

An investment of €50 000 returns €15 000 at the end of each year for 5 years. Find its internal rate of return IRR in percent.

C0 = €50 000CF = €15 000n = 5
IRR = %
6.Hard
years012345−50 00012 000+2%+2%+2%+2%r = 10%, NPV = ?

A project costs €50 000 today. Its cash flow is €12 000 at the end of year 1 and grows by 2% per year until the last cash flow at the end of year 5. The cost of capital is 10%. Find the net present value NPV.

C0 = €50 000CF1 = €12 000g = 2%n = 5r = 10%
NPV = €

Answer key

  1. 1. PB = 2.676 years
  2. 2. NPV = 14658 €
  3. 3. EAC = 11860 €
  4. 4. EAC = 4980 €
  5. 5. IRR = 15.24 %
  6. 6. NPV = −2832 €

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