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 = ?€5 000

You will receive €5 000 in 9 years. The interest rate is 4% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €5 000i = 4%n = 9
PV = €
2.Easy
years012345€2 000FV = ?

You deposit €2 000 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 5 years? Find the future value FV.

PV = €2 000i = 3%n = 5
FV = €
3.Medium
years012345PV = ?€1 000€1 000€1 000€1 000

An annuity pays €1 000 at the end of each year for 5 years. The interest rate is 6% per year. Find the present value PV of the annuity.

A = €1 000i = 6%n = 5
PV = €
4.Medium
years0123…8€10 000FV = ?

You invest €10 000 at 5% per year with continuous compounding. Find the value FV after 8 years.

PV = €10 000r = 5%t = 8
FV = €
5.Hard
months01…84…240€300 000AB = ?A2.4% / 12

A mortgage of €300 000 is repaid with equal monthly payments over 20 years at 2.4% per year, compounded monthly. How much is still owed just after the payment at the end of year 7? Find the outstanding balance B.

P = €300 0002.4% / 12N = 240k = 84
B = €
6.Hard
months0123…204A?AA€20 000

You want €20 000 in 17 years. You save the same amount at the end of every month in an account paying 7.2% per year, compounded monthly. Find the monthly deposit A.

FV = €20 0007.2% / 12N = 204
A = €

Answer key

  1. 1. PV = 3513 €
  2. 2. FV = 2319 €
  3. 3. PV = 4212 €
  4. 4. FV = 14918 €
  5. 5. B = 210903 €
  6. 6. A = 50.24 €

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