How long will it take for an investment to double in value if it earns 8.75% compounded continuously?
Answer and Explanation:
It takes 9.9 years for money to double if invested at 7% continuous interest. t=ln(2)/r where r was 0.07 in that solution.
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.
Answer and Explanation:
Since it is compounded semi-annually, the interest rate would be 8% / 2 = 4%. For semi-annual, the number of years would be 17.7 / 2 = 8.8. Hence, it will take 8.8 years to double the investment.
So, the time needed to double the investment if it is invested at 8 % 8\% 8% compounded monthly is approximately 8.69 years. A = P e r t .
Suppose a fixed-rate investment guarantees 4% continuously compounding growth. By applying the rule of 69.3 formula and dividing 69.3 by 4, you can find that the initial investment should double in value in 17.325 years.
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.
The 8-4-3 rule of compounding can be your way to achieve the Rs 1 crore corpus goal. Jiral Mehta, Senior Research Analyst, FundsIndia said that in this strategy, if you invest Rs 10,000 every month, assuming annual returns of 12 per cent, it takes 8 years to reach the Rs 16 lakh maturity amount.
Hence it takes 8.74 years to double the money.
Therefore, it would take approximately 12 years for an investment earning a six percent annual rate of return to double, assuming that the interest is compounded annually.
How long will it take you to double your money if you have $1000 to invest in an account with a rate of 8 compounded semi
1 Expert Answer
Turn the equation into a logarithm. It would take approximately 8.85 years.
The 7-Year Rule for investing is a guideline suggesting that an investment can potentially grow significantly over a period of 7 years. This rule is based on the historical performance of investments and the principle of compound interest.
How the Rule of 72 Works. 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).
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.
The average annualized total return for the S&P 500 index over the past 90 years is 9.8%. Adjusted for inflation, it still comes to an annual return of around 7% to 8%. If you earn 7%, your money will double in a little over 10 years.
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.
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.
Answer and Explanation:
17.4 years and 52.2 years respectively. In an investment earning a simple interest, if you wanted to double your money you have to earn an additional 100%. Hence we can compute for the time by dividing 100% by 5.75%. If you want to quadruple your money, you have to earn additional 300%.
If the expected annual return on a CD is 5% and you invest the same amount, it will take you 14.4 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.
Does 401k double every 7 years?
One of those tools is known as the Rule 72. For example, let's say you have saved $50,000 and your 401(k) holdings historically has a rate of return of 8%. 72 divided by 8 equals 9 years until your investment is estimated to double to $100,000.
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.
Question: Double Your MoneyHow long does it take to double $5,000 at a compound rate of 12% per year (approx.)? PV=-5,000FV=10,000i=12N=6.12 Years.
It would take approximately 35 quarters or 8.75 years for the amount to double.
At a 12% interest rate, it would only take six years to double your money. You can also use the Rule of 72 to approximate how much an amount would grow over a time period. Let's say you wanted to set aside $5,000.
