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…9€500FV = ?

You deposit €500 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €500i = 4%n = 9
FV = €
2.Easy
years0123…12€4 000FV = ?

You deposit €4 000 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €4 000i = 6%n = 12
FV = €
3.Medium
years0123…10€12 000FV = ?

You invest €12 000 at a nominal rate of 3% per year, compounded quarterly. Find the value FV of the investment after 10 years.

PV = €12 0003% / 4n = 10
FV = €
4.Medium
years012€2 000FV = ?

You invest €2 000 at a nominal rate of 4.8% per year, compounded quarterly. Find the value FV of the investment after 2 years.

PV = €2 0004.8% / 4n = 2
FV = €
5.Hard
months01…72…360€150 000AB = ?A5.4% / 12

A mortgage of €150 000 is repaid with equal monthly payments over 30 years at 5.4% per year, compounded monthly. How much is still owed just after the payment at the end of year 6? Find the outstanding balance B.

P = €150 0005.4% / 12N = 360k = 72
B = €
6.Hard
months0123…N = ?€15 000€275€275€275€2753.6% / 12

You borrow €15 000 at 3.6% per year, compounded monthly, and repay €275 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 = €15 000A = €2753.6% / 12
N = payments

Answer key

  1. 1. FV = 711.7 €
  2. 2. FV = 8049 €
  3. 3. FV = 16180 €
  4. 4. FV = 2200 €
  5. 5. B = 135812 €
  6. 6. N = 60 payments

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