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 = ?€4 000€8 000

You deposit €4 000 at 6% 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 €8 000?

PV = €4 000FV = €8 000i = 6%
n = years
2.Easy
years0123…9PV = ?€12 000€12 000€12 000…

A foundation wants to pay a prize of €12 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.

A = €12 000i = 4%
PV = €
3.Medium
years0123…9PV = ?€25 000

You need €25 000 in 9 years. An account pays 4% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €25 0004% / 12n = 9
PV = €
4.Medium
years0123…8€5 000FV = ?

You invest €5 000 at 4% per year with continuous compounding. Find the value FV after 8 years.

PV = €5 000r = 4%t = 8
FV = €
5.Hard
months0123…120€200€200€200FV = ?

You save €200 at the end of every month for 10 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2004.2% / 12N = 120
FV = €
6.Hard
months0123…312€150€150€150FV = ?

You save €150 at the end of every month for 26 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1502.4% / 12N = 312
FV = €

Answer key

  1. 1. n = 12 years
  2. 2. PV = 300000 €
  3. 3. PV = 17452 €
  4. 4. FV = 6886 €
  5. 5. FV = 29763 €
  6. 6. FV = 64891 €

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