What interest rate is needed to double an investment over 8 years?
For example, if you want to double your money in eight years, divide 72 by eight. This tells you that you need an average annual return of 9% to double your money in that time.
⇒R=100T=1008=12.5%
Given a 9% interest rate, how long will it take to double your money? Divide 72 by 9 and you'll get 8 years.
Where P is principal amount, R is rate of interest and T will be time period. Hence, the rate of interest to double a money in 8 years will be 12.5% per annum.
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).
If you earn 7%, your money will double in a little over 10 years. You can also use the Rule of 72 to plug in interest rates from credit card debt, a car loan, home mortgage, or student loan to figure out how many years it'll take your money to double for someone else.
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.
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Equities also typically offer appealing long term expected returns. On a 7% expected return, the doubling time falls to a decade. These are not forecasts, but the rule of 72 is a handy way to take a financial measure, like a rate of interest, and translate it into something which many people will find more tangible.
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 long would $100 000 take to double at a simple interest rate of 8?
Expert-Verified Answer
It will take 12.5 years to double the amount of $100,000 with a rate of 8%.
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To apply the 7-Year Investment Rule, investors should look at their investment portfolio and consider the potential growth over a seven-year period. This doesn't mean all investments will automatically yield substantial returns in seven years, but it provides a timeframe to set realistic expectations for growth.
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.
The so-called Rule of 42 is one example of a philosophy that focuses on a large distribution of holdings, calling for a portfolio to include at least 42 choices while owning only a small amount of most of those choices.
If you need to double your financial investment in 10 years, a savings account with a 5% interest rate, for instance, wouldn't help achieve your goals. You'd need something with a higher rate of return (at least 7.2%) to make that 10-year milestone happen.
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).
This means that the investment will take about 12 years to double with a 6% fixed annual interest rate. This calculator flips the 72 rule and shows what interest rate you would need to double your investment in a set number of years.
With an estimated annual return of 7%, you'd divide 72 by 7 to see that your investment will double every 10.29 years.
Assuming long-term market returns stay more or less the same, the Rule of 72 tells us that you should be able to double your money every 7.2 years. So, after 7.2 years have passed, you'll have $200,000; after 14.4 years, $400,000; after 21.6 years, $800,000; and after 28.8 years, $1.6 million.
How long will it take for my investment to double?
The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.
Very few investors know how long it takes to double their money. Rule of 72 can be of help. Divide 72 by the expected rate of return and the answer is the number of years required to double your money. For example, if a bond offers 6 percent rate of interest per year, then you will double your money in 12 years.
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Bond payments are most at inflationary risk because their payouts are generally based on fixed interest rates, meaning an increase in inflation diminishes their purchasing power. Several financial instruments exist to counteract inflationary risks.
