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FAQs
You simply take 72 and divide it by the interest rate number. So, if the interest rate is 6%, you would divide 72 by 6 to get 12. This means that the investment will take about 12 years to double with a 6% fixed annual interest rate.
How to find the interest rate using the Rule of 72? ›
What is the Rule of 72? Here's how it works: Divide 72 by your expected annual interest rate (as a percentage, not a decimal). The answer is roughly the number of years it will take for your money to double. For example, if your investment earns 4 percent a year, it would take about 72 / 4 = 18 years to double.
How long will it take to double a $2000 investment at 10% interest? ›
However, the more precise method to calculate the exact number of years is using the exact doubling time which is 7.27 years, based on compound interest. Therefore, the correct answer to the question of how long it will take to double a $2,000 investement at 10% interest is A. 7.27 years.
How many years does it take to double a $100 investment when interest rates are 7 percent per year? ›
So 72 / 7 = 10.29 years to double the investment.
How is the Rule of 72 calculator? ›
The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size. For example, if the interest rate is 12%, you would divide 72 by 12 to get 6. This means that the investment will take about 6 years to double with a 12% fixed annual interest rate.
How to double your money in 3 years? ›
The classic approach to doubling your money is investing in a diversified portfolio of stocks and bonds, which is likely the best option for most investors. Investing to double your money can be done safely over several years, but there's a greater risk of losing most or all your money when you're impatient.
What is the 72 formula? ›
The Rule of 72 is an easy way to calculate how long an investment will take to double in value given a fixed annual rate of interest. Dividing 72 by the annual rate of return gives investors an estimate of how many years it will take for the initial investment to duplicate.
Do investments really double every 7 years? ›
1 At 10%, you could double your initial investment every seven years (72 divided by 10). In a less-risky investment such as bonds, which have averaged a return of about 5% to 6% over the same period, you could expect to double your money in about 12 years (72 divided by 6).
How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›
Basic compound interest
For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.
How many years will it take a $5000 investment to reach $7500 at an 8% interest rate? ›
Final answer: To reach $7,500 with an 8% interest rate, it would take approximately 9.7 years.
The formula for the rule of 72
This being a formula, it works in the opposite direction, too: You can figure the compound rate of return required to double your money in a certain time frame. For instance, to double your money in 10 years, the compound rate of return would have to be 7.2%.
What is the math behind the Rule of 72? ›
Using the rule to estimate compounding periods
For instance, if you were to invest $100 with compounding interest at a rate of 9% per annum, the rule of 72 gives 72/9 = 8 years required for the investment to be worth $200; an exact calculation gives ln(2)/ln(1+0.09) = 8.0432 years.
What is the Rule of 72 in simple interest? ›
In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling.
What is the easiest way to calculate interest rate? ›
The formula for calculating simple interest is A = P x R x T.
- A is the amount of interest you'll wind up with.
- P is the principal or initial deposit.
- R is the annual interest rate (shown in decimal format).
- T is the number of years.
The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size. For example, if the interest rate is 12%, you would divide 72 by 12 to get 6. This means that the investment will take about 6 years to double with a 12% fixed annual interest rate.
How to calculate rate of return? ›
To calculate the rate of return subtract the original value from the current value, divide the difference by the original value, then multiply by 100.
