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
years012345−80 00024 00024 00024 00024 00024 000

A project costs €80 000 today and returns €24 000 at the end of each year for 5 years. The required rate of return is 6%. Find the net present value NPV.

r = 6%CF0 = −80 000CF1 = 24 000CF2 = 24 000CF3 = 24 000CF4 = 24 000CF5 = 24 000
NPV = €
2.Easy
years0123−25 00012 00012 00012 000

A project costs €25 000 today and returns €12 000 at the end of each year for 3 years. The required rate of return is 12%. Find the profitability index PI.

C0 = €25 000CF = €12 000n = 3r = 12%
PI =
3.Medium
years0123−75 00030 00023 00035 000

An investment of €75 000 gives these cash flows at the end of years 1 to 3: €30 000, €23 000, €35 000. The cost of capital is 7.000000000000001%. Find the net present value NPV.

r = 7.000000000000001%CF0 = −75 000CF1 = 30 000CF2 = 23 000CF3 = 35 000
NPV = €
4.Medium
years01234−60 00018 50021 50019 50023 500

A project costs €60 000 today and returns €18 500, €21 500, €19 500, €23 500 at the end of years 1 to 4. The cost of capital is 10%. Assume cash flows arrive evenly through each year. Find the discounted payback period DPB in years.

r = 10%CF0 = −60 000CF1 = 18 500CF2 = 21 500CF3 = 19 500CF4 = 23 500
DPB = years
5.Hard
years01234−20 00010 5009 00011 5009 500

A project costs €20 000 and returns €10 500, €9 000, €11 500, €9 500 at the end of years 1 to 4. Cash flows can be reinvested at the cost of capital of 10%. Find the modified internal rate of return MIRR in percent.

r = 10%CF0 = −20 000CF1 = 10 500CF2 = 9 000CF3 = 11 500CF4 = 9 500
MIRR = %
6.Hard
years0123…8−50 0009 5009 5009 5009 500

An investment of €50 000 returns €9 500 at the end of each year for 8 years. Find its internal rate of return IRR in percent.

C0 = €50 000CF = €9 500n = 8
IRR = %

Answer key

  1. 1. NPV = 21097 €
  2. 2. PI = 1.153
  3. 3. NPV = 1697 €
  4. 4. DPB = 3.671 years
  5. 5. MIRR = 23.82 %
  6. 6. IRR = 10.37 %

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