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
years012n = ?€2 000€6 000

You deposit €2 000 at 6% 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 €6 000?

PV = €2 000FV = €6 000i = 6%
n = years
2.Easy
years012n = ?€2 500€5 000

You deposit €2 500 at 4% 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 €5 000?

PV = €2 500FV = €5 000i = 4%
n = years
3.Medium
years0123…12PV = ?€500€500€500€500

An annuity pays €500 at the end of each year for 12 years. The interest rate is 6% per year. Find the present value PV of the annuity.

A = €500i = 6%n = 12
PV = €
4.Medium
years0123€8 000FV = ?

You invest €8 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 3 years.

PV = €8 0003.6% / 4n = 3
FV = €
5.Hard
years0123…29€1 000€1 000€1 000FV = ?

You deposit €1 000 at the start of every year for 29 years, the first deposit today. The account pays 5% per year. How much is in the account at the end of year 29? Find FV.

A = €1 000i = 5%n = 29
FV = €
6.Hard
months0123…180€150€150€150FV = ?

You save €150 at the end of every month for 15 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1507.2% / 12N = 180
FV = €

Answer key

  1. 1. n = 19 years
  2. 2. n = 18 years
  3. 3. PV = 4192 €
  4. 4. FV = 8908 €
  5. 5. FV = 65439 €
  6. 6. FV = 48380 €

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