a). At 8.25 percent interest, how long does it take to double your money? b). At 8.25 percent interest, how long does it take to quadruple your money? | Homework.Study.com (2024)

Business Finance Net present value

Question:

a). At 8.25 percent interest, how long does it take to double your money?

b). At 8.25 percent interest, how long does it take to quadruple your money?

Compounding Investments:

An investors would like their investment to earn good returns and multiply over the course of investments. Investors in private equity domain usually see their investments doubling or tripling in a few years.

Answer and Explanation:1

We need to substitute the values in present and future values formula and easily calculate for the periods. This formula is akin to the compound...

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a). At 8.25 percent interest, how long does it take to double your money? b). At 8.25 percent interest, how long does it take to quadruple your money? | Homework.Study.com (1)

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Calculating the present value of an investment tells how much money needs to be saved now in order to reach a desired, future amount. Explore the definition of and formula for the present value of an investment, and see examples.

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a). At 8.25 percent interest, how long does it take to double your money?  b). At 8.25 percent interest, how long does it take to quadruple your money? | Homework.Study.com (2024)

FAQs

How long does it take to double your money at 8.25 interest? ›

Hence it takes 8.74 years to double the money.

How long does it take to quadruple your money at 8.5 percent interest? ›

So, at 8.5 percent interest, it takes approximately 8.47 years to double your money. So, at 8.5 percent interest, it takes approximately 16.94 years to quadruple your money. The Rule of 72 is a quick and useful tool to estimate the time it takes for an investment to grow significantly based on the given interest rate.

How long will it take to double your savings if you earn 6.4 percent interest compounded annually? ›

It will take 11.17 years to double your money at a 6.4% rate of interest (compounded annually).

How long does it take to double your money at 9 percent interest? ›

Answer and Explanation:

Given a 9% return, the number of years to double your money is 72 / 9 = 8. To quadruple your money is the same as doubling it twice, so it would take 8 * 2 = 16 years.

How many years to double money at 8.5 percent? ›

Answer and Explanation:

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.

How many years does it take to double your money at 8%? ›

The result is the number of years, approximately, it'll take for your money to double. 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.

How long does it take to double your money? ›

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 does it take to double your money at 7% interest? ›

A quick and easier way to estimate the time it takes to double your money with compound interest is the Rule of 72. Simply divide 72 by your annual interest rate. In the case of a 7% yield, it would take approximately 10 years to double your money (72 / 8 = 10.3).

How many years will it take to double your money with an interest rate of 6%? ›

You simply take 72 and divide it by the interest rate number. 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.

How long does it take to double a $1000 investment? ›

The result is the number of years it will take, roughly, to double your money. For example, if the expected annual return of a bank Certificate of Deposit (CD) is 2.35% and you have $1,000 to invest, it will take 72/2.35 or 30.64 years for you to double your original investment to $2,000.

How long will it take to double $100 at 4 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. In this case, 18 years.

How many years would it take to double $100 if it earned interest at a rate of 8% per year? ›

Rule of 72

Simply divide the number 72 by the annual rate of return to determine how many years it will take to double. For example, $100 with a fixed rate of return of 8% will take approximately nine (72 / 8) years to grow to $200.

How long will it take $1000 to double at 6% interest? ›

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.

How long will it take for $10000 to double at 8 compound interest? ›

Doubling Money with Compounding Returns

In the case of an 8% yield, it would take approximately nine years to double your money (72 / 8 = 9). Let's see how this works with a detailed example. If you invest $10,000 at an 8% annual yield, compounded yearly, here's how your money will grow: Year 1: $10,800.

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