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
years012€500FV = ?

You deposit €500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.

PV = €500i = 4.5%n = 2
FV = €
2.Easy
years012n = ?€2 500€7 500

You deposit €2 500 at 7% 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 = 7%
n = years
3.Medium
years0123…9PV = ?€8 000€8 000€8 000€8 000

An annuity pays €8 000 at the end of each year for 9 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €8 000i = 4%n = 9
PV = €
4.Medium
years0123…9€20 000FV = ?

You invest €20 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €20 0003.6% / 4n = 9
FV = €
5.Hard
years0123…12€6 000€6 000€6 000FV = ?

You deposit €6 000 at the start of every year for 12 years, the first deposit today. The account pays 4% per year. How much is in the account at the end of year 12? Find FV.

A = €6 000i = 4%n = 12
FV = €
6.Hard
months0123…96€100€100€100FV = ?

You save €100 at the end of every month for 8 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1003.6% / 12N = 96
FV = €

Answer key

  1. 1. FV = 546 €
  2. 2. n = 17 years
  3. 3. PV = 59483 €
  4. 4. FV = 27613 €
  5. 5. FV = 93761 €
  6. 6. FV = 11106 €

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