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 3% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €5 000i = 3%n = 10
FV = €
2.Easy
years0123…14PV = ?€20 000

You will receive €20 000 in 14 years. The interest rate is 4% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €20 000i = 4%n = 14
PV = €
3.Medium
years0123…8€3 000FV = ?

You invest €3 000 at a nominal rate of 5% per year, compounded monthly. Find the value FV of the investment after 8 years.

PV = €3 0005% / 12n = 8
FV = €
4.Medium
years0123…9PV = ?€10 000

You need €10 000 in 9 years. An account pays 3% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €10 0003% / 12n = 9
PV = €
5.Hard
months0123…36€12 000A?AAA

A loan of €12 000 is repaid with equal monthly payments over 3 years. The interest rate is 4.2% per year, compounded monthly. Find the monthly payment A.

P = €12 0004.2% / 12N = 36
A = €
6.Hard
months01…192…360€300 000AB = ?A3% / 12

A mortgage of €300 000 is repaid with equal monthly payments over 30 years at 3% per year, compounded monthly. How much is still owed just after the payment at the end of year 16? Find the outstanding balance B.

P = €300 0003% / 12N = 360k = 192
B = €

Answer key

  1. 1. FV = 6720 €
  2. 2. PV = 11550 €
  3. 3. FV = 4472 €
  4. 4. PV = 7636 €
  5. 5. A = 355.4 €
  6. 6. B = 173334 €

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