Use this rule to quickly find out when your investments will double in value (2024)

When we put our money in the market, or before we even do, one of the biggest questions we have is: How long will it take for this investment to really grow?

Luckily, there's a mathematical shortcut to help you estimate the future value of an investment. The Rule of 72 is a quick way to figure out approximately the number of years needed to double your invested money.

Using your rate of return, the Rule of 72 is a simplified formula that measures the effect of compound interest on your investment dollars. As a refresher, compound interest is calculated on your principal amount, plus your accumulated interest. It essentially pays interest on top of interest and is a huge perk of investing in the market since your interest earned is automatically reinvested, earning you even more.

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How to calculate the Rule of 72

To use the Rule of 72 formula, simply divide 72 by the expected annual rate of return. Take note that the formula assumes the same rate over the life of the investment.

As an example, say you invest $50,000 in a mutual fund that has a hypothetical 6% average rate of return. By using the Rule of 72 formula, your calculation will look like this: 72/6 = 12. This tells you that, at a 6% annual rate of return, you can expect your investment to double in value — to be worth $100,000 — in roughly 12 years.

When calculating the Rule of 72 for any investment, note that the formula is an estimation tool and the years are approximate. The Rule of 72 mainly works with common rates of return that are in the range of 5% to 12%, with an 8% return as the benchmark of accuracy. Lower or higher rates outside of this range can be better predicted using an adjusted Rule of 71, 73 or 74, depending on how far they fall below or above the range. You generally add one to 72 for every three percentage point increase. So, a 15% rate of return would mean you use the Rule of 73.

Keep in mind that a mutual fund or index fund are smart investing options, especially for beginners, as it offers instant diversification by pooling money from many individuals to invest in a collection of companies. They also offer somewhat predictable returns over the long run. For instance, have returned about an 11% average annualized return since 1950, be it with significant downward and upward swings in some years.

Robo-advisors likeWealthfront,BettermentandSoFiwill build you a portfolio of index funds (usually in the form of ETFs) based on your risk tolerance, time horizon and investing goals.These are good platforms to use when you're just starting out investing since robo-advisors automatically rebalance your portfolio for you and as you get closer to your investing targets. If you want more control over your investments consider a brokerage that doesn't charge commission fees, like Charles Schwab or Fidelity.

Fidelity Investments

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Betterment

  • Minimum deposit and balance

    Minimum deposit and balance requirements may vary depending on the investment vehicle selected. For example, Betterment doesn't require clients to maintain a minimum investment account balance, but there is a ACH deposit minimum of $10. Premium Investing requires a $100,000 minimum balance.

  • Fees

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  • Investment vehicles

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    Stocks, bonds, ETFs and cash

  • Educational resources

    Betterment offers retirement and other education materials

Terms apply. Does not apply to crypto asset portfolios.

The Rule of 72 and inflation

The Rule of 72 can also help you see how long it would take for the effect of inflation to cut your money in half.

As an example, say you have $100,000 and expect a hypothetical long-term inflation rate of 3%. Since inflation reduces your purchasing power over time, your $100,000, if not invested, would lose half its value (aka be worth $50,000) by 24 years. The calculation for this looks like: 72/3 = 24. If inflation increases from a rate of 3% to 6%, that same $100,000 would lose half its value even faster — in just 12 years (72/6 = 12).

Bottom line

The Rule of 72 is an easy way to quickly find out when your investments will double in value. It can also help you see how soon or far out inflation would eventually cut your money's value in half.

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Use this rule to quickly find out when your investments will double in value (2024)

FAQs

Use this rule to quickly find out when your investments will double in value? ›

Here's how the Rule of 72

Rule of 72
The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. Dividing 72 by the annual rate of return gives investors a rough estimate of how many years it will take for the initial investment to duplicate itself.
https://www.investopedia.com › answers › what-is-the-rule-72
works. You take the number 72 and divide it by the investment's projected annual return. The result is the number of years, approximately, it'll take for your money to double.

How do you know when an investment will 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.

How do you determine the doubling time of the investment? ›

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.

How to determine how much time is required for an investment to double in value? ›

What Is the Rule of 72? The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. Dividing 72 by the annual rate of return gives investors a rough estimate of how many years it will take for the initial investment to duplicate itself.

What is the formula for doubling money? ›

Number of years to double the money = 72 / Interest Rate

It is a reasonably accurate formula and more so while using lower interest rates than higher ones. If your money is kept in a savings account that earns just 4%, it will take 18 years to double your money.

Why is 72 used in the Rule of 72? ›

Daily compounding is close enough to continuous compounding for most purposes, so 69.3 or 70 should be used. The value 72 is also a convenient choice since it has so many small divisors: 2, 3, 4, 6, 8, 9, and 12.

What is the Rule of 72 example? ›

For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money. Note that a compound annual return of 8% is plugged into this equation as 8, and not 0.08, giving a result of nine years (and not 900).

What is the doubling formula? ›

The Rule of 70

Imagine that we have a population growing at a rate of 4% per year, which is a pretty high rate of growth. By the Rule of 70, we know that the doubling time (dt) is equal to 70 divided by the growth rate (r). That means our formula would look like this: dt = 70 / r.

What is the rule of doubling time? ›

There is an important relationship between the percent growth rate and its doubling time known as “the rule of 70”: to estimate the doubling time for a steadily growing quantity, simply divide the number 70 by the percentage growth rate.

What is the rule of 70 calculator? ›

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.

How long does it take for investments to double? ›

Key Takeaways

The rule of 72 is a shortcut investors can use to determine how long it will take their investment to double based on a fixed annual rate of return. All you do is divide 72 by the fixed rate of return to get the number of years it will take for your initial investment to double.

What is a way to determine how long an investment will take to double given a fixed rate of interest? ›

The Rule of 72 is a way to estimate how long it will take for an investment to double at a given interest rate, assuming a fixed annual rate of interest. You simply take 72 and divide it by the interest rate number.

How long will it take for the value to double? ›

You simply divide 72 by any average annual growth rate and you'll have the number of years it would take to approximately double in value. The Rule of 72 can show you how just a small difference in your rate of return can have an impact on how much money you could ultimately have.

How do you calculate double? ›

Let's discuss the formula for doubling numbers. We can double any number in two ways. 1) Multiply the number by 2. 2) Add the number to itself.

What is the formula for doubling your profits? ›

Simply put, the Rule of 72 offers a quick and straightforward method for investors to estimate the number of years required to double their money at a consistent rate of return. The formula is simple. You divide 72 by your expected annual rate of return.

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 long will it take for an investment of $1,000 to double? ›

Expert-Verified Answer

Under continuous compounding at an annual interest rate of 6.5%, it will take approximately 10.67 years for an initial investment of $1000 to double in value.

How long will it take to increase a $2200 investment to $10,000 if the interest rate is 6.5 percent? ›

Final answer:

It will take approximately 15.27 years to increase the $2,200 investment to $10,000 at an annual interest rate of 6.5%.

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