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
years0123? 12 00010 0008 000

A machine is expected to save €12 000, €10 000, €8 000 at the end of years 1 to 3, after which it is worthless. The required return is 9%. What is the most the company should pay for the machine today? Find PV.

r = 9%CF1 = 12 000CF2 = 10 000CF3 = 8 000
PV = €
2.Easy
years0123? 6 00015 00015 000

A machine is expected to save €6 000, €15 000, €15 000 at the end of years 1 to 3, after which it is worthless. The required return is 12%. What is the most the company should pay for the machine today? Find PV.

r = 12%CF1 = 6 000CF2 = 15 000CF3 = 15 000
PV = €
3.Medium
years01234567€50 000€3 000€3 000€3 000€3 000€3 000€3 000€3 000r = 10%, EAC = ?

A machine costs €50 000 today, lasts 7 years and costs €3 000 per year to run (paid at the end of each year). The cost of capital is 10%. Find its equivalent annual cost EAC.

C0 = €50 000M = €3 000n = 7r = 10%
EAC = €
4.Medium
years0123…10€30 000€3 000€3 000€3 000€3 000r = 5%, EAC = ?

A machine costs €30 000 today, lasts 10 years and costs €3 000 per year to run (paid at the end of each year). The cost of capital is 5%. Find its equivalent annual cost EAC.

C0 = €30 000M = €3 000n = 10r = 5%
EAC = €
5.Hard
r (%)NPVABr* = ?0

Project A costs €30 000 and returns €17 000, €11 500, €6 000 at the end of years 1 to 3. Project B costs €32 000 and returns €8 500, €12 000, €16 500. Find the crossover rate r* at which both projects have the same NPV, in percent.

A: −30 000, 17 000, 11 500, 6 000B: −32 000, 8 500, 12 000, 16 500
r* = %
6.Hard
years01234−40 00018 00012 50017 00016 500

A project costs €40 000 and returns €18 000, €12 500, €17 000, €16 500 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 = −40 000CF1 = 18 000CF2 = 12 500CF3 = 17 000CF4 = 16 500
MIRR = %

Answer key

  1. 1. PV = 25603 €
  2. 2. PV = 27992 €
  3. 3. EAC = 13270 €
  4. 4. EAC = 6885 €
  5. 5. r* = 2.191 %
  6. 6. MIRR = 16.74 %

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