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
years01234567€1 000€1 410

An investment of €1 000 grows to €1 410 in 7 years with annual compounding. Find the annual interest rate i in percent.

PV = €1 000FV = €1 410n = 7
i = %
2.Easy
years0123456€1 500FV = ?

You deposit €1 500 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 6 years? Find the future value FV.

PV = €1 500i = 3.5%n = 6
FV = €
3.Medium
years0123PV = ?€15 000

You need €15 000 in 3 years. An account pays 4.8% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €15 0004.8% / 12n = 3
PV = €
4.Medium
years012345€3 000FV = ?

You invest €3 000 at a nominal rate of 4.8% per year, compounded monthly. Find the value FV of the investment after 5 years.

PV = €3 0004.8% / 12n = 5
FV = €
5.Hard
months01…180…360€300 000AB = ?A2.4% / 12

A mortgage of €300 000 is repaid with equal monthly payments over 30 years at 2.4% per year, compounded monthly. How much is still owed just after the payment at the end of year 15? Find the outstanding balance B.

P = €300 0002.4% / 12N = 360k = 180
B = €
6.Hard
months0123…276€300€300€300FV = ?

You save €300 at the end of every month for 23 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3003.6% / 12N = 276
FV = €

Answer key

  1. 1. i = 5.031 %
  2. 2. FV = 1844 €
  3. 3. PV = 12992 €
  4. 4. FV = 3812 €
  5. 5. B = 176686 €
  6. 6. FV = 128590 €

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