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 = ?€2 000€2 000€2 000…

A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.

A = €2 000i = 4%
PV = €
2.Easy
years012n = ?€2 000€5 000

You deposit €2 000 at 2% 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 €5 000?

PV = €2 000FV = €5 000i = 2%
n = years
3.Medium
years0123…10PV = ?€50 000

You need €50 000 in 10 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €50 0003.6% / 12n = 10
PV = €
4.Medium
years0123…18€2 000FV = ?

You invest €2 000 at 5% per year with continuous compounding. Find the value FV after 18 years.

PV = €2 000r = 5%t = 18
FV = €
5.Hard
months0123…192€200€200€200FV = ?

You save €200 at the end of every month for 16 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2003.6% / 12N = 192
FV = €
6.Hard
months0123…312€300€300€300FV = ?

You save €300 at the end of every month for 26 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3004.8% / 12N = 312
FV = €

Answer key

  1. 1. PV = 50000 €
  2. 2. n = 47 years
  3. 3. PV = 34903 €
  4. 4. FV = 4919 €
  5. 5. FV = 51825 €
  6. 6. FV = 185603 €

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