Time value of money worksheet with answers

Free printable Time value of money 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€500FV = ?

You deposit €500 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.

PV = €500i = 4%n = 3
FV = €
2.Easy
years012n = ?€2 500€7 500

You deposit €2 500 at 8% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €7 500?

PV = €2 500FV = €7 500i = 8%
n = years
3.Medium
years0123…9PV = ?€20 000+2%+2%…r = 5%

A property is expected to earn net rent of €20 000 next year. The rent is expected to grow by 2% per year forever. The required return is 5% per year. Find the value PV of the property today.

C1 = €20 000g = 2%r = 5%
PV = €
4.Medium
years0123…9PV = ?€5 000+2%+2%…r = 6%

A property is expected to earn net rent of €5 000 next year. The rent is expected to grow by 2% per year forever. The required return is 6% per year. Find the value PV of the property today.

C1 = €5 000g = 2%r = 6%
PV = €
5.Hard
months0123…312€100€100€100FV = ?

You save €100 at the end of every month for 26 years. The account pays 5.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1005.4% / 12N = 312
FV = €
6.Hard
months0123…120€250€250€250FV = ?

You save €250 at the end of every month for 10 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2502.4% / 12N = 120
FV = €

Answer key

  1. 1. FV = 562.4 €
  2. 2. n = 15 years
  3. 3. PV = 666667 €
  4. 4. PV = 125000 €
  5. 5. FV = 67970 €
  6. 6. FV = 33868 €

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