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
years01234−20 0009 0009 0009 0009 000

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

r = 9%CF0 = −20 000CF1 = 9 000CF2 = 9 000CF3 = 9 000CF4 = 9 000
NPV = €
2.Easy
years01234−20 0008 0008 0008 0008 000

A project costs €20 000 today and returns €8 000 at the end of each year for 4 years. The required rate of return is 10%. Find the net present value NPV.

r = 10%CF0 = −20 000CF1 = 8 000CF2 = 8 000CF3 = 8 000CF4 = 8 000
NPV = €
3.Medium
years012345−60 00024 50025 50012 00014 50020 000

A project costs €60 000 today and returns €24 500, €25 500, €12 000, €14 500, €20 000 at the end of years 1 to 5. 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 = −60 000CF1 = 24 500CF2 = 25 500CF3 = 12 000CF4 = 14 500CF5 = 20 000
DPB = years
4.Medium
years01234−30 00010 0009 0008 0009 000

An investment of €30 000 gives these cash flows at the end of years 1 to 4: €10 000, €9 000, €8 000, €9 000. The cost of capital is 5%. Find the net present value NPV.

r = 5%CF0 = −30 000CF1 = 10 000CF2 = 9 000CF3 = 8 000CF4 = 9 000
NPV = €
5.Hard
years01234−10 0004 5004 5006 0005 000

A project costs €10 000 and returns €4 500, €4 500, €6 000, €5 000 at the end of years 1 to 4. Cash flows can be reinvested at the cost of capital of 12%. Find the modified internal rate of return MIRR in percent.

r = 12%CF0 = −10 000CF1 = 4 500CF2 = 4 500CF3 = 6 000CF4 = 5 000
MIRR = %
6.Hard
years012−20 00014 50011 500

A project costs €20 000 and returns €14 500, €11 500 at the end of years 1 to 2. Find its internal rate of return IRR in percent.

CF0 = −20 000CF1 = 14 500CF2 = 11 500
IRR = %

Answer key

  1. 1. NPV = 9157 €
  2. 2. NPV = 5359 €
  3. 3. DPB = 3.266 years
  4. 4. NPV = 2002 €
  5. 5. MIRR = 24.06 %
  6. 6. IRR = 20.3 %

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