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 0006 0003 5007 5003 500

A project costs €20 000 today and returns €6 000, €3 500, €7 500, €3 500 at the end of years 1 to 4. Assume cash flows arrive evenly through each year. Find the payback period PB in years.

CF0 = −20 000CF1 = 6 000CF2 = 3 500CF3 = 7 500CF4 = 3 500
PB = years
2.Easy
years0123? 6 00020 0008 000

A machine is expected to save €6 000, €20 000, €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 = 6 000CF2 = 20 000CF3 = 8 000
PV = €
3.Medium
years012345−40 00013 50013 50013 50013 50013 500

A project costs €40 000 today and returns €13 500 at the end of each year for 5 years. The cost of capital is 6%. Assume cash flows arrive evenly through each year. Find the discounted payback period DPB in years.

r = 6%CF0 = −40 000CF1 = 13 500CF2 = 13 500CF3 = 13 500CF4 = 13 500CF5 = 13 500
DPB = years
4.Medium
years0123…9€60 000€5 000€5 000€5 000€5 000r = 6%, EAC = ?

A machine costs €60 000 today, lasts 9 years and costs €5 000 per year to run (paid at the end of each year). The cost of capital is 6%. Find its equivalent annual cost EAC.

C0 = €60 000M = €5 000n = 9r = 6%
EAC = €
5.Hard
r (%)NPVABr* = ?0

Project A costs €40 000 and returns €23 000, €15 000, €9 500 at the end of years 1 to 3. Project B costs €50 000 and returns €13 000, €20 000, €25 500. Find the crossover rate r* at which both projects have the same NPV, in percent.

A: −40 000, 23 000, 15 000, 9 500B: −50 000, 13 000, 20 000, 25 500
r* = %
6.Hard
years012−40 00017 50028 000

A project costs €40 000 and returns €17 500, €28 000 at the end of years 1 to 2. Find its internal rate of return IRR in percent.

CF0 = −40 000CF1 = 17 500CF2 = 28 000
IRR = %

Answer key

  1. 1. PB = 3.857 years
  2. 2. PV = 28516 €
  3. 3. DPB = 3.366 years
  4. 4. EAC = 13821 €
  5. 5. r* = 2.18 %
  6. 6. IRR = 8.353 %

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