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…9PV = ?€12 000€12 000€12 000…

A foundation wants to pay a prize of €12 000 at the end of every year, forever. The fund earns 3% interest per year. How much must be invested today? Find PV.

A = €12 000i = 3%
PV = €
2.Easy
years0123…11€2 500FV = ?

You deposit €2 500 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €2 500i = 4%n = 11
FV = €
3.Medium
years0123…15PV = ?€2 000€2 000€2 000€2 000

An annuity pays €2 000 at the end of each year for 15 years. The interest rate is 8% per year. Find the present value PV of the annuity.

A = €2 000i = 8%n = 15
PV = €
4.Medium
periods0123…1211 + EAR = ?19.5% / 12

A credit card charges a nominal interest rate of 19.5% per year, compounded monthly. Find the effective annual rate EAR in percent.

r = 19.5%m = 12
EAR = %
5.Hard
months0123…288€150€150€150FV = ?

You save €150 at the end of every month for 24 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1503% / 12N = 288
FV = €
6.Hard
months0123…108€100€100€100FV = ?

You save €100 at the end of every month for 9 years. The account pays 5.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1005.4% / 12N = 108
FV = €

Answer key

  1. 1. PV = 400000 €
  2. 2. FV = 3849 €
  3. 3. PV = 17119 €
  4. 4. EAR = 21.34 %
  5. 5. FV = 63155 €
  6. 6. FV = 13867 €

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