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…12€2 000FV = ?

You deposit €2 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €2 000i = 7%n = 12
FV = €
2.Easy
years0123…9€4 000FV = ?

You deposit €4 000 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €4 000i = 2%n = 9
FV = €
3.Medium
years0123PV = ?€25 000

You need €25 000 in 3 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €25 0003.6% / 12n = 3
PV = €
4.Medium
years01234PV = ?€500€500€500€500

An annuity pays €500 at the end of each year for 4 years. The interest rate is 5% per year. Find the present value PV of the annuity.

A = €500i = 5%n = 4
PV = €
5.Hard
months0123…N = ?€8 000€150€150€150€1504.8% / 12

You borrow €8 000 at 4.8% per year, compounded monthly, and repay €150 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.

P = €8 000A = €1504.8% / 12
N = payments
6.Hard
months0123…60€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 5 years. The interest rate is 6% per year, compounded monthly. Find the monthly payment A.

P = €8 0006% / 12N = 60
A = €

Answer key

  1. 1. FV = 4504 €
  2. 2. FV = 4780 €
  3. 3. PV = 22444 €
  4. 4. PV = 1773 €
  5. 5. N = 61 payments
  6. 6. A = 154.7 €

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