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
years012n = ?€1 000€2 500

You deposit €1 000 at 5% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €2 500?

PV = €1 000FV = €2 500i = 5%
n = years
2.Easy
years012n = ?€1 000€2 000

You deposit €1 000 at 5% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €2 000?

PV = €1 000FV = €2 000i = 5%
n = years
3.Medium
years01234€2 000FV = ?

You invest €2 000 at a nominal rate of 4% per year, compounded monthly. Find the value FV of the investment after 4 years.

PV = €2 0004% / 12n = 4
FV = €
4.Medium
years0123…9€12 000FV = ?

You invest €12 000 at a nominal rate of 6% per year, compounded monthly. Find the value FV of the investment after 9 years.

PV = €12 0006% / 12n = 9
FV = €
5.Hard
months0123…72A?AA€75 000

You want €75 000 in 6 years. You save the same amount at the end of every month in an account paying 4.2% per year, compounded monthly. Find the monthly deposit A.

FV = €75 0004.2% / 12N = 72
A = €
6.Hard
months0123…72A?AA€30 000

You want €30 000 in 6 years. You save the same amount at the end of every month in an account paying 4.2% per year, compounded monthly. Find the monthly deposit A.

FV = €30 0004.2% / 12N = 72
A = €

Answer key

  1. 1. n = 19 years
  2. 2. n = 15 years
  3. 3. FV = 2346 €
  4. 4. FV = 20564 €
  5. 5. A = 917.7 €
  6. 6. A = 367.1 €

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