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
years012€1 500FV = ?

You deposit €1 500 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.

PV = €1 500i = 3%n = 2
FV = €
2.Easy
years012n = ?€2 000€5 000

You deposit €2 000 at 9% 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 €5 000?

PV = €2 000FV = €5 000i = 9%
n = years
3.Medium
years01234€1 000FV = ?

You invest €1 000 at a nominal rate of 6% per year, compounded quarterly. Find the value FV of the investment after 4 years.

PV = €1 0006% / 4n = 4
FV = €
4.Medium
years0123…9PV = ?€6 000+4%+4%…r = 8%

A property is expected to earn net rent of €6 000 next year. The rent is expected to grow by 4% per year forever. The required return is 8% per year. Find the value PV of the property today.

C1 = €6 000g = 4%r = 8%
PV = €
5.Hard
months0123…144€100€100€100FV = ?

You save €100 at the end of every month for 12 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1007.2% / 12N = 144
FV = €
6.Hard
months0123…168€500€500€500FV = ?

You save €500 at the end of every month for 14 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €5007.2% / 12N = 168
FV = €

Answer key

  1. 1. FV = 1591 €
  2. 2. n = 11 years
  3. 3. FV = 1269 €
  4. 4. PV = 150000 €
  5. 5. FV = 22775 €
  6. 6. FV = 144323 €

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