Rule of 70 Vs. Rule of 72: Definition, How They Work, and Example (2024)

FAQs

Rule of 70 Vs. Rule of 72: Definition, How They Work, and Example? ›

The rule of 72 is best for annual interest rates. On the other hand, the rule of 70 is better for semi-annual compounding. For example, let's suppose you have an investment that has a 4% interest rate compounded semi-annually or twice a year. According to the rule of 72, you'll get 72 / 4 = 18 years.

The Rule of 70 Formula

Hence, the doubling time is simply 70 divided by the constant annual growth rate. For instance, consider a quantity that grows consistently at 5% annually. According to the Rule of 70, it will take 14 years (70/5) for the quantity to double.

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double. In this case, 18 years.

The rule of 70 and the rule of 72 give rough estimates of the number of years it would take for a certain variable to double. When using the rule of 70, the number 70 is used in the calculation. Likewise, when using the rule of 72, the number 72 is used in the calculation.

The reason why the rule of 70 is popular in finance is because it offers a simple way to manage complicated exponential growth. It breaks down growth formulas into a simple equation using the number 70 alongside the rate of return.

The rule of 70 (and 72) comes from the natural log of 2 which is 0.693.. or 69.3%. Basically this is rounded to 70 (or 72) to make doing the math in your head easier. It's not 100% accurate but usually when you are asking about the doubling time of a rate by quick mental estimate, a little error doesn't matter.

Do you know the Rule of 72? It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%); the approximations are less accurate at higher interest rates.

Choose the right career

And one crucial detail to note: Millionaire status doesn't equal a sky-high salary. “Only 31% averaged $100,000 a year over the course of their career,” the study found, “and one-third never made six figures in any single working year of their career.”

What is the 100 age rule? ›

This principle recommends investing the result of subtracting your age from 100 in equities, with the remaining portion allocated to debt instruments. For example, a 35-year-old would allocate 65 per cent to equities and 35 per cent to debt based on this rule.

Rules of 72, 69.3, and 69

The Rule of 72 states that by dividing 72 by the annual interest rate, you can estimate the number of years required for an investment to double. ● The Rule of 69.3 is a more accurate formula for higher interest rates and is calculated by dividing 69.3 by the interest rate.

You can also apply the Rule of 72 to debt for a sobering look at the impact of carrying a credit card balance. Assume a credit card balance of $10,000 at an interest rate of 17%. If you don't pay down the balance, the debt will double to $20,000 in approximately 4 years and 3 months.

For example, if an economy grows at 1 percent per year, it will take 70/1=70 years for the size of that economy to double. If an economy grows at 2 percent per year, it will take 70/2=35 years for the size of that economy to double.

The number of years it takes for a country's economy to double in size is equal to 70 divided by the growth rate, in percent. For example, if an economy grows at 1% per year, it will take 70 / 1 = 70 years for the size of that economy to double.

To determine doubling time, we use "The Rule of 70." It's a simple formula that requires the annual growth rate of the population. To find the doubling rate, divide the growth rate as a percentage into 70.

If a variable is growing by x% per period, the doubling time would equal approximately: 70 ÷ x periods. In order for a certain variable to double in N years, the growth rate of that variable must be approximately: 70 ÷ N% per year.