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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
years01234−20 0009 5009 5009 5009 500

A project costs €20 000 today and returns €9 500 at the end of each year for 4 years. The required rate of return is 8%. Find the net present value NPV.

r = 8%CF0 = −20 000CF1 = 9 500CF2 = 9 500CF3 = 9 500CF4 = 9 500
NPV = €
2.Easy
years012345−50 00015 00015 00015 00015 00015 000

A project costs €50 000 today and returns €15 000 at the end of each year for 5 years. The required rate of return is 10%. Find the net present value NPV.

r = 10%CF0 = −50 000CF1 = 15 000CF2 = 15 000CF3 = 15 000CF4 = 15 000CF5 = 15 000
NPV = €
3.Medium
years01234−60 00016 00016 00016 00031 000

A machine costs €60 000 today. It generates €16 000 at the end of each year for 4 years and can then be sold for €15 000. The cost of capital is 8%. Find the net present value NPV.

C0 = €60 000CF = €16 000S = €15 000n = 4r = 8%
NPV = €
4.Medium
years0123−20 0004 00010 00010 000

An investment of €20 000 gives these cash flows at the end of years 1 to 3: €4 000, €10 000, €10 000. The cost of capital is 9%. Find the net present value NPV.

r = 9%CF0 = −20 000CF1 = 4 000CF2 = 10 000CF3 = 10 000
NPV = €
5.Hard
years0123−50 00030 00028 50034 500

A project costs €50 000 and returns €30 000, €28 500, €34 500 at the end of years 1 to 3. Find its internal rate of return IRR in percent.

CF0 = −50 000CF1 = 30 000CF2 = 28 500CF3 = 34 500
IRR = %
6.Hard
years01234−40 00022 50023 00024 00017 500

A project costs €40 000 and returns €22 500, €23 000, €24 000, €17 500 at the end of years 1 to 4. Cash flows can be reinvested at the cost of capital of 6%. Find the modified internal rate of return MIRR in percent.

r = 6%CF0 = −40 000CF1 = 22 500CF2 = 23 000CF3 = 24 000CF4 = 17 500
MIRR = %

Answer key

  1. 1. NPV = 11465 €
  2. 2. NPV = 6862 €
  3. 3. NPV = 4019 €
  4. 4. NPV = −191.6 €
  5. 5. IRR = 37.75 %
  6. 6. MIRR = 24.33 %

Full step-by-step solutions: practise this topic on examproblems.com.