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 500FV = ?

You deposit €2 500 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €2 500i = 3%n = 12
FV = €
2.Easy
years0123456€1 000FV = ?

You deposit €1 000 in a savings account that pays 1.5% interest per year, compounded annually. How much is in the account after 6 years? Find the future value FV.

PV = €1 000i = 1.5%n = 6
FV = €
3.Medium
years0123…10€5 000FV = ?

You invest €5 000 at a nominal rate of 5% per year, compounded monthly. Find the value FV of the investment after 10 years.

PV = €5 0005% / 12n = 10
FV = €
4.Medium
years0123…9PV = ?€8 000+2.5%+2.5%…r = 5.5%

A property is expected to earn net rent of €8 000 next year. The rent is expected to grow by 2.5% per year forever. The required return is 5.5% per year. Find the value PV of the property today.

C1 = €8 000g = 2.5%r = 5.5%
PV = €
5.Hard
months0123…324€500€500€500FV = ?

You save €500 at the end of every month for 27 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €5003% / 12N = 324
FV = €
6.Hard
months01…96…360€250 000AB = ?A7.2% / 12

A mortgage of €250 000 is repaid with equal monthly payments over 30 years at 7.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 8? Find the outstanding balance B.

P = €250 0007.2% / 12N = 360k = 96
B = €

Answer key

  1. 1. FV = 3564 €
  2. 2. FV = 1093 €
  3. 3. FV = 8235 €
  4. 4. PV = 266667 €
  5. 5. FV = 249127 €
  6. 6. B = 224530 €

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