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…8€2 000FV = ?

You deposit €2 000 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.

PV = €2 000i = 2%n = 8
FV = €
2.Easy
years0123…11€10 000FV = ?

You deposit €10 000 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €10 000i = 3%n = 11
FV = €
3.Medium
years01234PV = ?€50 000

You need €50 000 in 4 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €50 0005% / 4n = 4
PV = €
4.Medium
years012345PV = ?€2 000€2 000€2 000€2 000

An annuity pays €2 000 at the end of each year for 5 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €2 000i = 4%n = 5
PV = €
5.Hard
months0123…N = ?€25 000€750€750€750€7503% / 12

You borrow €25 000 at 3% per year, compounded monthly, and repay €750 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 = €25 000A = €7503% / 12
N = payments
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. FV = 2343 €
  2. 2. FV = 13842 €
  3. 3. PV = 40987 €
  4. 4. PV = 8904 €
  5. 5. N = 35 payments
  6. 6. FV = 48380 €

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