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
years0123456€10 000FV = ?

You deposit €10 000 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 6 years? Find the future value FV.

PV = €10 000i = 5%n = 6
FV = €
2.Easy
years0123…11€4 000FV = ?

You deposit €4 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €4 000i = 7%n = 11
FV = €
3.Medium
years0123…9PV = ?€10 000+4%+4%…r = 7%

A property is expected to earn net rent of €10 000 next year. The rent is expected to grow by 4% per year forever. The required return is 7% per year. Find the value PV of the property today.

C1 = €10 000g = 4%r = 7%
PV = €
4.Medium
years012€10 000FV = ?

You invest €10 000 at 6% per year with continuous compounding. Find the value FV after 2 years.

PV = €10 000r = 6%t = 2
FV = €
5.Hard
months0123…120€50€50€50FV = ?

You save €50 at the end of every month for 10 years. The account pays 6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €506% / 12N = 120
FV = €
6.Hard
months0123…120A?AA€75 000

You want €75 000 in 10 years. You save the same amount at the end of every month in an account paying 4.2% per year, compounded monthly. Find the monthly deposit A.

FV = €75 0004.2% / 12N = 120
A = €

Answer key

  1. 1. FV = 13401 €
  2. 2. FV = 8419 €
  3. 3. PV = 333333 €
  4. 4. FV = 11275 €
  5. 5. FV = 8194 €
  6. 6. A = 504 €

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