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…9PV = ?€500€500€500…

A foundation wants to pay a prize of €500 at the end of every year, forever. The fund earns 6% interest per year. How much must be invested today? Find PV.

A = €500i = 6%
PV = €
2.Easy
years0123…11€2 500FV = ?

You deposit €2 500 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €2 500i = 5%n = 11
FV = €
3.Medium
years012345€1 000FV = ?

You invest €1 000 at a nominal rate of 4% per year, compounded monthly. Find the value FV of the investment after 5 years.

PV = €1 0004% / 12n = 5
FV = €
4.Medium
years0123…10PV = ?€10 000

You need €10 000 in 10 years. An account pays 3.6% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €10 0003.6% / 4n = 10
PV = €
5.Hard
years0123…22€2 000€2 000€2 000FV = ?

You deposit €2 000 at the start of every year for 22 years, the first deposit today. The account pays 5% per year. How much is in the account at the end of year 22? Find FV.

A = €2 000i = 5%n = 22
FV = €
6.Hard
months0123…84€30 000AAAA7.2% / 12, I = ?

A loan of €30 000 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 = €30 0007.2% / 12N = 84
I = €

Answer key

  1. 1. PV = 8333 €
  2. 2. FV = 4276 €
  3. 3. FV = 1221 €
  4. 4. PV = 6988 €
  5. 5. FV = 80861 €
  6. 6. I = 8280 €

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