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
years01234€4 000FV = ?

You deposit €4 000 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.

PV = €4 000i = 6%n = 4
FV = €
2.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 = €
3.Medium
years0123…20€1 000FV = ?

You invest €1 000 at 3% per year with continuous compounding. Find the value FV after 20 years.

PV = €1 000r = 3%t = 20
FV = €
4.Medium
years012€2 000FV = ?

You invest €2 000 at 6% per year with continuous compounding. Find the value FV after 2 years.

PV = €2 000r = 6%t = 2
FV = €
5.Hard
months0123…360€200€200€200FV = ?

You save €200 at the end of every month for 30 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2003.6% / 12N = 360
FV = €
6.Hard
months01…108…240€200 000AB = ?A4.2% / 12

A mortgage of €200 000 is repaid with equal monthly payments over 20 years at 4.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 9? Find the outstanding balance B.

P = €200 0004.2% / 12N = 240k = 108
B = €

Answer key

  1. 1. FV = 5050 €
  2. 2. PV = 8333 €
  3. 3. FV = 1822 €
  4. 4. FV = 2255 €
  5. 5. FV = 129328 €
  6. 6. B = 130174 €

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