Rule of 72

The famous "Rule of 72" states that roughly speaking money will double in (72 / r) years when the money is invested at an annual compounded interest rate of r%.

Notice that according to the rule, we are not interested in the amount of money that you will have in your bank account when the money is doubled.

We are interested in knowing when the money will be doubled.

For example, suppose you invest money at an 6% compounded annual interest rate, how long will it take for the money to double?

The money will double in 72 / 6 years or 12 years.

Suppose instead you invest money at an 9% compounded annual interest rate, how long will it take for the money to double?

The money will double in 72 / 9  years = 8 years

Finally, notice that it will take the same amount of time for the money to double regardless of the amount you invest as long as the interest rate is the same.

For example, 1 million dollars will take 8 years to double at an 9% compounded annual interest rate.

By the same token, 100 dollars will take 8 years to double at an 9% compounded annual interest rate.

Therefore, the higher the interest rate, the faster the money will double.

On the other hand, the lower the interest rate, the more time it will take for the money to double.

For example, a rate of 1% interest will take 72 / 1 or 72 years to double. Imagine that!

Imagine you have a 100 dollars in a saving account at a local bank. If they offer 1% compounded annual interest, you will have to wait 72 years to see 200 dollars in the bank.

Yet most banks do not even offer 1%!







Recent Articles

  1. Why the Rule of 72 Works

    Oct 15, 18 11:05 AM

    why the rule of 72 works- math explanation of where the 72 came from.

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

            Follow me on Pinterest





Recent Lessons

  1. Why the Rule of 72 Works

    Oct 15, 18 11:05 AM

    why the rule of 72 works- math explanation of where the 72 came from.

    Read More

  Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average 

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!


Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 


Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz