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…10€1 500FV = ?

You deposit €1 500 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €1 500i = 7%n = 10
FV = €
2.Easy
years0123…14PV = ?€2 000

You will receive €2 000 in 14 years. The interest rate is 2.5% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €2 000i = 2.5%n = 14
PV = €
3.Medium
years0123…9€3 000FV = ?

You invest €3 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €3 0003.6% / 4n = 9
FV = €
4.Medium
years0123…9PV = ?€12 000+1.5%+1.5%…r = 3.5%

A property is expected to earn net rent of €12 000 next year. The rent is expected to grow by 1.5% per year forever. The required return is 3.5% per year. Find the value PV of the property today.

C1 = €12 000g = 1.5%r = 3.5%
PV = €
5.Hard
years0123…25€1 000€1 000€1 000FV = ?

You deposit €1 000 at the start of every year for 25 years, the first deposit today. The account pays 8% per year. How much is in the account at the end of year 25? Find FV.

A = €1 000i = 8%n = 25
FV = €
6.Hard
months0123…240€200€200€200FV = ?

You save €200 at the end of every month for 20 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2004.2% / 12N = 240
FV = €

Answer key

  1. 1. FV = 2951 €
  2. 2. PV = 1415 €
  3. 3. FV = 4142 €
  4. 4. PV = 600000 €
  5. 5. FV = 78954 €
  6. 6. FV = 75027 €

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