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
Answer and Explanation: The correct answer is C. 4.55 years.
Expert-Verified Answer
It will take approximately 26.81 years or 26 years and 8 months to reach $50,000 if you invested $5,000 at an 8.7% continuous compounding interest rate.
Thus, it will take 14.21 years for the money to double.
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).
∴ Compound Interest =Rs12100−Rs10000=Rs2100.
In this case, P = 10000, r = 2, n = 4 (since the interest is compounded quarterly), and t = 6/12 = 0.5 (since the investment is held for 6 months, which is equivalent to 0.5 years). Therefore, the final amount, including interest, would be 22500 rupees.
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.
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The truth is that most investors won't have the money to generate $1,000 per month in dividends; not at first, anyway. Even if you find a market-beating series of investments that average 3% annual yield, you would still need $400,000 in up-front capital to hit your targets.
What is the 8 4 3 rule of compounding?
What is the 8-4-3 rule of compounding? In the 8-4-3 strategy, the average return of a particular investment amount for 8 years is 12 per cent/annum, while after that time period, it will take only half of that horizon, i.e., 4 years (total 12 years), to get a return of 12 per cent.
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).
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All you do is divide 72 by the fixed rate of return to get the number of years it will take for your initial investment to double. You would need to earn 10% per year to double your money in a little over seven 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.
Final answer:
It will take approximately 15.27 years to increase the $2,200 investment to $10,000 at an annual interest rate of 6.5%.
Compound interest formulas
Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.
=> ₹6050 = ₹5000 + C.I. => ₹6050 - ₹5000 = C.I. => ₹1050 = C.I. So, the compound interest on ₹5000 for 2 years at the rate of 10% is ₹1050 .
So, C.I = 26,620 - 20,000 = ₹ 6,620.
An investment of $10000 today invested at 6% for five years at simple interest will be $13,000.
What is $200 at 3 for 5 years?
$200 = P imes 0.03 imes 5. P = $1333.33 (approximately). Total future amount = $1533.33.
How much interest will I earn on £50,000? With £50,000 in Monument Bank's easy access account paying 5.01%, you could earn £2,505.00 over a year, or £208.75 per month.
Some experts recommend withdrawing 4% each year from your retirement accounts. To generate $500 a month, you might need to build your investments to $150,000. Taking out 4% each year would amount to $6,000, which comes to $500 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.
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