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€5 000FV = ?

You deposit €5 000 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.

PV = €5 000i = 3.5%n = 2
FV = €
2.Easy
years01234567€2 000FV = ?

You deposit €2 000 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 7 years? Find the future value FV.

PV = €2 000i = 4%n = 7
FV = €
3.Medium
years0123…9PV = ?€20 000+3%+3%…r = 6%

A property is expected to earn net rent of €20 000 next year. The rent is expected to grow by 3% per year forever. The required return is 6% per year. Find the value PV of the property today.

C1 = €20 000g = 3%r = 6%
PV = €
4.Medium
years0123…16PV = ?€8 000€8 000€8 000€8 000

An annuity pays €8 000 at the end of each year for 16 years. The interest rate is 3% per year. Find the present value PV of the annuity.

A = €8 000i = 3%n = 16
PV = €
5.Hard
months0123…96€50€50€50FV = ?

You save €50 at the end of every month for 8 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €503% / 12N = 96
FV = €
6.Hard
months0123…84€15 000AAAA7.2% / 12, I = ?

A loan of €15 000 is repaid with equal monthly payments over 7 years at 7.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €15 0007.2% / 12N = 84
I = €

Answer key

  1. 1. FV = 5356 €
  2. 2. FV = 2632 €
  3. 3. PV = 666667 €
  4. 4. PV = 100489 €
  5. 5. FV = 5417 €
  6. 6. I = 4140 €

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