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€2 500FV = ?

You deposit €2 500 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €2 500i = 3%n = 9
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 = ?€5 000+3%+3%…r = 8%

A property is expected to earn net rent of €5 000 next year. The rent is expected to grow by 3% per year forever. The required return is 8% per year. Find the value PV of the property today.

C1 = €5 000g = 3%r = 8%
PV = €
4.Medium
periods0123411 + EAR = ?20% / 4

A credit card charges a nominal interest rate of 20% per year, compounded quarterly. Find the effective annual rate EAR in percent.

r = 20%m = 4
EAR = %
5.Hard
months0123…336€50€50€50FV = ?

You save €50 at the end of every month for 28 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €504.8% / 12N = 336
FV = €
6.Hard
months0123…180€150 000AAAA7.2% / 12, I = ?

A loan of €150 000 is repaid with equal monthly payments over 15 years at 7.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €150 0007.2% / 12N = 180
I = €

Answer key

  1. 1. FV = 3262 €
  2. 2. FV = 2632 €
  3. 3. PV = 100000 €
  4. 4. EAR = 21.55 %
  5. 5. FV = 35301 €
  6. 6. I = 95713 €

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