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…8PV = ?€15 000

You will receive €15 000 in 8 years. The interest rate is 3% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €15 000i = 3%n = 8
PV = €
2.Easy
years012n = ?€2 000€4 000

You deposit €2 000 at 3% 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 €4 000?

PV = €2 000FV = €4 000i = 3%
n = years
3.Medium
years0123…19€20 000FV = ?

You invest €20 000 at 5% per year with continuous compounding. Find the value FV after 19 years.

PV = €20 000r = 5%t = 19
FV = €
4.Medium
years012€2 000FV = ?

You invest €2 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 2 years.

PV = €2 0003.6% / 4n = 2
FV = €
5.Hard
months0123…180A?AA€20 000

You want €20 000 in 15 years. You save the same amount at the end of every month in an account paying 3% per year, compounded monthly. Find the monthly deposit A.

FV = €20 0003% / 12N = 180
A = €
6.Hard
months0123…312€250€250€250FV = ?

You save €250 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 = €2504.8% / 12N = 312
FV = €

Answer key

  1. 1. PV = 11841 €
  2. 2. n = 24 years
  3. 3. FV = 51714 €
  4. 4. FV = 2149 €
  5. 5. A = 88.12 €
  6. 6. FV = 154669 €

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