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…10€5 000FV = ?

You deposit €5 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €5 000i = 4.5%n = 10
FV = €
2.Easy
years012n = ?€10 000€30 000

You deposit €10 000 at 2% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €30 000?

PV = €10 000FV = €30 000i = 2%
n = years
3.Medium
years0123…8PV = ?€5 000

You need €5 000 in 8 years. An account pays 2% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €5 0002% / 12n = 8
PV = €
4.Medium
years012345PV = ?€25 000

You need €25 000 in 5 years. An account pays 3% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €25 0003% / 12n = 5
PV = €
5.Hard
months0123…N = ?€5 000€75€75€75€755.4% / 12

You borrow €5 000 at 5.4% per year, compounded monthly, and repay €75 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 = €5 000A = €755.4% / 12
N = payments
6.Hard
months0123…216€150€150€150FV = ?

You save €150 at the end of every month for 18 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1504.2% / 12N = 216
FV = €

Answer key

  1. 1. FV = 7765 €
  2. 2. n = 56 years
  3. 3. PV = 4261 €
  4. 4. PV = 21522 €
  5. 5. N = 80 payments
  6. 6. FV = 48297 €

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