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
years012345−50 00020 00020 00020 00020 00020 000

A project costs €50 000 today and returns €20 000 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 = 20 000CF2 = 20 000CF3 = 20 000CF4 = 20 000CF5 = 20 000
NPV = €
2.Easy
years0123−10 0004 0004 0004 000

A project costs €10 000 today and returns €4 000 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 = −10 000CF1 = 4 000CF2 = 4 000CF3 = 4 000
NPV = €
3.Medium
years012345−20 0006 0006 0006 0006 0006 000

A project costs €20 000 today and returns €6 000 at the end of each year for 5 years. The cost of capital is 5%. Assume cash flows arrive evenly through each year. Find the discounted payback period DPB in years.

r = 5%CF0 = −20 000CF1 = 6 000CF2 = 6 000CF3 = 6 000CF4 = 6 000CF5 = 6 000
DPB = years
4.Medium
years0123−20 0007 0005 0005 000

An investment of €20 000 gives these cash flows at the end of years 1 to 3: €7 000, €5 000, €5 000. The cost of capital is 15%. Find the net present value NPV.

r = 15%CF0 = −20 000CF1 = 7 000CF2 = 5 000CF3 = 5 000
NPV = €
5.Hard
years0123−50 00029 00017 00026 000

A project costs €50 000 and returns €29 000, €17 000, €26 000 at the end of years 1 to 3. Cash flows can be reinvested at the cost of capital of 8%. Find the modified internal rate of return MIRR in percent.

r = 8%CF0 = −50 000CF1 = 29 000CF2 = 17 000CF3 = 26 000
MIRR = %
6.Hard
years01234−25 00013 00013 00012 50010 500

A project costs €25 000 and returns €13 000, €13 000, €12 500, €10 500 at the end of years 1 to 4. Cash flows can be reinvested at the cost of capital of 8%. Find the modified internal rate of return MIRR in percent.

r = 8%CF0 = −25 000CF1 = 13 000CF2 = 13 000CF3 = 12 500CF4 = 10 500
MIRR = %

Answer key

  1. 1. NPV = 25816 €
  2. 2. NPV = −52.59 €
  3. 3. DPB = 3.742 years
  4. 4. NPV = −6845 €
  5. 5. MIRR = 16.07 %
  6. 6. MIRR = 22.09 %

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