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

    Fees may vary depending on the investment vehicle selected, account balances, etc. Click here for details.

  • 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? ›

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.

How do you calculate when an investment will double? ›

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.

What is a formula that helps you know when your money will double in value? ›

How Do You Calculate the Rule of 72? Here's how the Rule of 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.

What is the formula for doubling money? ›

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.

What is the Rule of 72 and the rule of 70? ›

The Rule of 70 is a calculation that determines how many years it takes for an investment to double in value based on a constant rate of return. The Rule of 72 is a shortcut or rule of thumb used to estimate the number of years required to double your money at a given annual rate of return and vice versa.

Is the Rule of 72 accurate? ›

The rule of 72 is only an approximation that is accurate for a range of interest rate (from 6% to 10%). Outside that range the error will vary from 2.4% to 14.0%. It turns out that for every three percentage points away from 8% the value 72 could be adjusted by 1.

What is the 8 4 3 compounding rule? ›

The rule of 8-4-3 when it comes to compounding indicates a style of investment that accelerates growth with time. Initially, a corpus doubles within 8 years through an average annual return of 12% subsequently another doubling happens for the same period after another 4 years following its initial setting up.

What is the doubling money trick? ›

There's actually a simple trick that allows you to quickly estimate when you can double your money. It's called the Rule of 72. The principle is simple. Divide 72 by the annual rate of return to figure how long it will take to double your money.

What is the mathematical formula for doubling? ›

The Rule of 70 is a simplified way of determining the doubling time using the equation, doubling time = 70 / r , where r is the rate of growth for a population in percent. For example, if a population of 10 species were growing by two individuals a year, the r value would be 20%.

What is the double calculation? ›

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.

What is an example of the 72 rule in calculating money to double over time? ›

For example, the Rule of 72 states that $1 invested at an annual fixed interest rate of 10% would take 7.2 years ((72 ÷ 10) = 7.2) to grow to $2. In reality, a 10% investment will take 7.3 years to double (1.107.3 = 2). The Rule of 72 is reasonably accurate for low rates of return.

What is the formula for doubling time in macroeconomics? ›

Double Time Formula

The time is calculated by dividing the natural logarithm of 2 by the exponent of growth or approximated by dividing 70 by the percentage growth rate, i.e. 70/r.

What is Rule 69 and Rule 72? ›

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.

What is the rule of 42 in investing? ›

One of the key rules within my unique Income Method is the Rule of 42 - holding at least 42 income-generating investments that enable you to have reduced risk from any individual holding.

What is the rule of 69 for doubling period? ›

The Rule of 69 states that when a quantity grows at a constant annual rate, it will roughly double in size after approximately 69 divided by the growth rate. The Rule of 69 is derived from the mathematical constant e, which is the base of the natural logarithm.

How long does it take a 5% investment to double? ›

Why it Pays to Know the Math
Rate of ReturnRule of 72 # of Years to Double MoneyLogarithmic Formula # of Years to Double Money
4%18.017.7
5%14.414.2
6%12.011.9
7%10.310.2
15 more rows
Sep 14, 2023

How long does it take for an investment to double at 7%? ›

What Is the Rule of 72?
Annual Rate of ReturnYears to Double
7%10.3
8%9
9%8
10%7.2
6 more rows

How long will it take money to double if it is invested at 10%? ›

A 10% interest rate will double your investment in about 7 years (72 ∕ 10 = 7.2); an amount invested at a 12% interest rate will double in about 6 years (72 ∕ 12 = 6). Using the Rule of 72, you can easily determine how long it will take to double your money.

What is the Rule of 72 which amount will double faster? ›

The Rule of 72 indicates how fast your money will double at a given rate of return. 2. When you divide 72 by the estimated annual rate of return, you get the number of years it will take for your money to double. So, if you are getting 8% return annually, it would take 72/8 = 9 years to double.

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