How long in years will it take a $300 investment to be worth $800 if it is continuously compounded at 12% per year?
Thus, it will take approximately 8.17 years.
Therefore, it will take approximately 7.54 years for the investment to be worth $900.
The Basics
Let's say your interest rate is 8%. 72 ∕ 8 = 9, so it will take about 9 years to double your money. 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).
The calculated value of the number of years required for $300 to become double in amount to $600 is option c. 9 years.
If you invest $10,000 today at 10% interest, how much will you have in 10 years? Summary: The future value of the investment of $10000 after 10 years at 10% will be $ 25940.
Expert-Verified Answer
It will take 8.37 years for a $300 investment to be worth $400 when continuously compounded at 8% per year.
According to this rule of thumb, the number of years to double the value of an investment is 72 divided by the rate of return (in percentage terms). In this question, the rate of return is 8.5 percent, so the number of years to double the value of the investment is: 72 / 8.5 = 8.47.
HenceTime=x×100x×12=8Years4months.
If you expect your wealth to grow by 12% a year, then it would take 6 years (72/12 = 6) to double.
The Bottom Line
Investments, such as stocks, do not have a fixed rate of return, but the Rule of 72 still can give you an idea of the kind of return you'd need to double your money in certain amount of time. For example, to double your money in six years, you would need a rate of return of 12%.
Will my money double in 7 years?
For example, if your investment earns 6% per year on average, you would take 72 divided by 6 to determine that it will take 12 years for your money to double. Based on the above, you would need to earn 10% per year to double your money in a little over seven years.
Similarly, if you want to double your money in five years, your investments will need to grow at around 14.4% per year (72/5). If your goal is to double your invested sum in 10 years, you should invest in a manner to earn around 7% every year. Rule of 72 provides an approximate idea and assumes one time investment.
If you have just 15 years until you want to achieve millionaire status, you'd need to invest $2,622.80 per month. This amount is a lot higher because you aren't benefiting as much from the long window of compound growth that happens when your investments earn returns that are reinvested and earn returns of their own.
In this case, P = $300, r = 5%, n = 4 (since interest is compounded quarterly), and t = 20. Therefore, the investment will be worth $1,016.09 after 20 years.
The table below shows the present value (PV) of $10,000 in 20 years for interest rates from 2% to 30%. As you will see, the future value of $10,000 over 20 years can range from $14,859.47 to $1,900,496.38.
Summary: An investment of $10000 today invested at 6% for five years at simple interest will be $13,000.
Investing $1,000 a month for 20 years would leave you with around $687,306. The specific amount you end up with depends on your returns -- the S&P 500 has averaged 10% returns over the last 50 years. The more you invest (and the earlier), the more you can take advantage of compound growth.
On average, the stock market yields between an 8% to 12% annual return. Investing $100 per month, with an average return rate of 10%, will yield $200,000 after 30 years. Due to compound interest, your investment will yield $535,000 after 40 years.
For example, it takes $1,400 per month to reach $1 million in 20 years. However if you can find 30 years to save, it only takes $475 per month to reach the same goal. This isn't easy, but finding the extra time may be easier than finding an extra $12,000 per year.
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.
What is the 7 year rule in investing?
To estimate the number of years it would take to double your money at a 7% annual rate of return, you can use the Rule of 72. Divide 72 by the annual rate of return: 72 ÷ 7 = 10.29. So, at a 7% return rate, it would take approximately 10.29 years to double your money.
The calculated value of the number of years required for the investment of $2,000 to become double in value is 9 years.
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.
CONCEPT: Simple interest concept. Now, we want the money to be quadruple i.e. 4 times. ∴ The money will quadruple itself in 21 years.
⇒ P = X Rs. and A = 16X Rs. ⇒ T = 50 years. ∴ In 50 years a sum of money will become sixteen times.
