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
years01234€8 000€11 090

An investment of €8 000 grows to €11 090 in 4 years with annual compounding. Find the annual interest rate i in percent.

PV = €8 000FV = €11 090n = 4
i = %
2.Easy
years01234€2 500FV = ?

You deposit €2 500 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.

PV = €2 500i = 7%n = 4
FV = €
3.Medium
years0123…9€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 9 years.

PV = €3 0004.8% / 12n = 9
FV = €
4.Medium
years01234567PV = ?€3 000€3 000€3 000€3 000

An annuity pays €3 000 at the end of each year for 7 years. The interest rate is 7% per year. Find the present value PV of the annuity.

A = €3 000i = 7%n = 7
PV = €
5.Hard
months01…132…360€300 000AB = ?A7.2% / 12

A mortgage of €300 000 is repaid with equal monthly payments over 30 years at 7.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 11? Find the outstanding balance B.

P = €300 0007.2% / 12N = 360k = 132
B = €
6.Hard
months0123…36€25 000A?AAA

A loan of €25 000 is repaid with equal monthly payments over 3 years. The interest rate is 4.8% per year, compounded monthly. Find the monthly payment A.

P = €25 0004.8% / 12N = 36
A = €

Answer key

  1. 1. i = 8.508 %
  2. 2. FV = 3277 €
  3. 3. FV = 4617 €
  4. 4. PV = 16168 €
  5. 5. B = 252625 €
  6. 6. A = 747 €

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