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
years01234567€7 500FV = ?

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

PV = €7 500i = 5%n = 7
FV = €
2.Easy
years0123…12€2 500FV = ?

You deposit €2 500 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €2 500i = 3.5%n = 12
FV = €
3.Medium
years0123…8€5 000FV = ?

You invest €5 000 at a nominal rate of 2% per year, compounded monthly. Find the value FV of the investment after 8 years.

PV = €5 0002% / 12n = 8
FV = €
4.Medium
years0123…9PV = ?€8 000+4%+4%…r = 10%

A property is expected to earn net rent of €8 000 next year. The rent is expected to grow by 4% per year forever. The required return is 10% per year. Find the value PV of the property today.

C1 = €8 000g = 4%r = 10%
PV = €
5.Hard
months0123…36€20 000A?AAA

A loan of €20 000 is repaid with equal monthly payments over 3 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.

P = €20 0005.4% / 12N = 36
A = €
6.Hard
months0123…288€100€100€100FV = ?

You save €100 at the end of every month for 24 years. The account pays 5.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1005.4% / 12N = 288
FV = €

Answer key

  1. 1. FV = 10553 €
  2. 2. FV = 3778 €
  3. 3. FV = 5867 €
  4. 4. PV = 133333 €
  5. 5. A = 603 €
  6. 6. FV = 58756 €

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