How long will it take for you to get $100000.00 if you invest $5000.00 in an account giving you 9.7% interest compounded continuously?
Expert-Verified Answer
It will take approximately 7.70 years for the investment to double.
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.
$5,000 each year for 10 years if the interest rate is 8% ( end of period payment). You need to invest $33,550.4070 today earning 8% to have $5,000 every year for 10 years (first payment at the end of the year).
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.
Therefore, it would take approximately 14.4 years for an investment of 5,000 at a 5% interest rate to double in value.
The rule of 72
Simply divide 72 by the account's annual rate of return. For example, if the interest rate on your account is 7%, it would take approximately 10 years for your account balance to double: 72/7 is 10.2.
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So, if the interest rate is 6%, you would divide 72 by 6 to get 12. This means that the investment will take about 12 years to double with a 6% fixed annual interest rate.
For example, with a 9% rate of return, the simple calculation returns a time to double of eight years. If you use the logarithmic formula, the answer is 8.04 years—a negligible difference. In contrast, if you have a 2% rate of return, your Rule of 72 calculation returns a time to double of 36 years.
How much money do I need to invest to make $3000 a month?
$3,000 X 12 months = $36,000 per year. $36,000 / 6% dividend yield = $600,000. On the other hand, if you're more risk-averse and prefer a portfolio yielding 2%, you'd need to invest $1.8 million to reach the $3,000 per month target: $3,000 X 12 months = $36,000 per year.
Too many people are paid a lot of money to tell investors that yields like that are impossible. But the truth is you can get a 9.5% yield today--and even more. But even at 9.5%, we're talking about a middle-class income of $4,000 per month on an investment of just a touch over $500K.
If you invest $10,000 and make an 8% annual return, you'll have $100,627 after 30 years. By also investing $500 per month over that timeframe, your ending balance would be $780,326. Exchange-traded funds (ETFs) and mutual funds are both excellent investment options.
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.
You can simply follow the 8-4-3 rule of compounding to grow your money. For instance, if you invest a lump sum of Rs 21,250 every month in an instrument that earns 12% interest per annum and is compounded yearly, you will get your first Rs 33.37 lakh in eight years.
Rule of 69 is a general rule to estimate the time that is required to make the investment to be doubled, keeping the interest rate as a continuous compounding interest rate, i.e., the interest rate is compounding every moment.
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Answer and Explanation:
The future value of the investment is $12,968.71. It is the accumulated value of investing $5,000 for 10 years at a rate of 10% compound interest.
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.
Expert-Verified Answer
It would take 16.66 years to grow from $5,000 to $10,000 if it could earn 6% interest. Therefore, it would take 16.66 years to grow from $5,000 to $10,000 if it could earn 6% interest.
How much money will be in the account after 10 years if you deposit $4500 at 5 annual interest compounded quarterly?
11. If you deposit $4500 at 5% annual interest compounded quarterly, how much money will be in the account after 10 years? $7396.29 A Page 3 12. If you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account?
The future value of $10,000 with 6 % interest after 5 years at simple interest will be $ 13,000.
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Trading options is one of the fastest ways to double your money – or lose it all. Options can be lucrative but also quite risky. But to double your money with them, you'll need to take some risk. The biggest upsides (and downsides) in options occur when you buy either call options or put options.
To generate $5,000 per month in dividends, you would need a portfolio value of approximately $1 million invested in stocks with an average dividend yield of 5%. For example, Johnson & Johnson stock currently yields 2.7% annually. $1 million invested would generate about $27,000 per year or $2,250 per month.
