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€1 000FV = ?

You deposit €1 000 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.

PV = €1 000i = 2%n = 2
FV = €
2.Easy
years012345€7 500FV = ?

You deposit €7 500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 5 years? Find the future value FV.

PV = €7 500i = 4.5%n = 5
FV = €
3.Medium
years0123…9€1 000FV = ?

You invest €1 000 at a nominal rate of 5% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €1 0005% / 4n = 9
FV = €
4.Medium
years012345€2 000FV = ?

You invest €2 000 at 7% per year with continuous compounding. Find the value FV after 5 years.

PV = €2 000r = 7%t = 5
FV = €
5.Hard
years0123…17€1 000€1 000€1 000FV = ?

You deposit €1 000 at the start of every year for 17 years, the first deposit today. The account pays 3% per year. How much is in the account at the end of year 17? Find FV.

A = €1 000i = 3%n = 17
FV = €
6.Hard
months01…36…240€300 000AB = ?A3% / 12

A mortgage of €300 000 is repaid with equal monthly payments over 20 years at 3% per year, compounded monthly. How much is still owed just after the payment at the end of year 3? Find the outstanding balance B.

P = €300 0003% / 12N = 240k = 36
B = €

Answer key

  1. 1. FV = 1040 €
  2. 2. FV = 9346 €
  3. 3. FV = 1564 €
  4. 4. FV = 2838 €
  5. 5. FV = 22414 €
  6. 6. B = 265623 €

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