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…8€1 500FV = ?

You deposit €1 500 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.

PV = €1 500i = 4%n = 8
FV = €
2.Easy
years012n = ?€5 000€15 000

You deposit €5 000 at 6% 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 €15 000?

PV = €5 000FV = €15 000i = 6%
n = years
3.Medium
years0123…9PV = ?€2 000+2%+2%…r = 8%

A property is expected to earn net rent of €2 000 next year. The rent is expected to grow by 2% per year forever. The required return is 8% per year. Find the value PV of the property today.

C1 = €2 000g = 2%r = 8%
PV = €
4.Medium
years0123…9PV = ?€6 000+3%+3%…r = 7%

A property is expected to earn net rent of €6 000 next year. The rent is expected to grow by 3% per year forever. The required return is 7% per year. Find the value PV of the property today.

C1 = €6 000g = 3%r = 7%
PV = €
5.Hard
months0123…84€250€250€250FV = ?

You save €250 at the end of every month for 7 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2502.4% / 12N = 84
FV = €
6.Hard
months0123…48A?AA€50 000

You want €50 000 in 4 years. You save the same amount at the end of every month in an account paying 2.4% per year, compounded monthly. Find the monthly deposit A.

FV = €50 0002.4% / 12N = 48
A = €

Answer key

  1. 1. FV = 2053 €
  2. 2. n = 19 years
  3. 3. PV = 33333 €
  4. 4. PV = 150000 €
  5. 5. FV = 22842 €
  6. 6. A = 993.5 €

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