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…9€7 500FV = ?

You deposit €7 500 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €7 500i = 2%n = 9
FV = €
2.Easy
years0123…10€1 000FV = ?

You deposit €1 000 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €1 000i = 6%n = 10
FV = €
3.Medium
years0123…9PV = ?€6 000+1.5%+1.5%…r = 4.5%

A property is expected to earn net rent of €6 000 next year. The rent is expected to grow by 1.5% per year forever. The required return is 4.5% per year. Find the value PV of the property today.

C1 = €6 000g = 1.5%r = 4.5%
PV = €
4.Medium
years0123456€5 000FV = ?

You invest €5 000 at 7% per year with continuous compounding. Find the value FV after 6 years.

PV = €5 000r = 7%t = 6
FV = €
5.Hard
months0123…168€300€300€300FV = ?

You save €300 at the end of every month for 14 years. The account pays 5.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3005.4% / 12N = 168
FV = €
6.Hard
months0123…216A?AA€50 000

You want €50 000 in 18 years. You save the same amount at the end of every month in an account paying 4.8% per year, compounded monthly. Find the monthly deposit A.

FV = €50 0004.8% / 12N = 216
A = €

Answer key

  1. 1. FV = 8963 €
  2. 2. FV = 1791 €
  3. 3. PV = 200000 €
  4. 4. FV = 7610 €
  5. 5. FV = 75075 €
  6. 6. A = 146.1 €

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