Power of Compounding Interest: Calculations and Examples (2024)

The power of compounding refers to the ability of an investment to generate earnings not only on the original principal amount, but also on the accumulated interest earned over time.

There are multiple investment options where the power of compounding is used and the interest earned is credited on your invested funds. These investment plans typically feature a clear compounding period, such as yearly, monthly, or even daily, allowing you to take advantage of compounding as needed. One of these investments is fixed deposit. Before we learn about how power of compounding impacts fixed deposit, let us know about the power of compounding.

What is the power of compounding?

The power of compounding works by multiplying your wealth tremendously. To speed up the process of earning profits, it adds the profit made back to the initial sum before reinvesting the complete total.

In essence, the power of compounding is the act of "adding interest on interest," meaning that the amount of money you invest will result in returns from both the initial capital and the collected earnings from earlier compounding periods. So, the force of compounding eventually aids in the gradual growth of your wealth.

For example, if you invest Rs. 1000 and earn a 10% annual return, in the first year you will have Rs. 1100. If you leave the Rs. 100 of interest earned in the account and continue to earn 10% per year, in the second year you will earn Rs. 110 (10% of Rs. 1100) in interest. By the end of the second year, you will have Rs. 1210.

This process continues, with the interest earned in each period also earning interest in the following periods. The longer the investment is left to compound, the greater the potential returns.

How the power of compounding works in investments?

The power of compounding is something that can build generational wealth with just a small initial investment. It is one of the most powerful forces in investing, and it can turn a small investment into a large sum over time. Whether it is a safe investment option like a fixed deposit or the Systematic Investment Plan (SIP), both work on the power of compounding.

Here, the interest is first accrued on the initial deposit amount then eventually as tenure progresses the initial deposit amount increases as the initial deposit is now considered as principal amount plus interest accrued.

The power of compounding is the ability of an asset to generate earnings, which are then reinvested to generate their own earnings. This process can be illustrated with the use of fixed deposit and mutual funds.

Example of Power of Compounding

Here’s an example of a better understanding of the power of compounding:

If you invested Rs. 1,00,000 and at 10% p.a., you will earn an interest of Rs. 10,000 at the end of the first year. Then in the next year, you’ll end up earning an interest of Rs. 21,000 instead of Rs. 20,000, and so on.

The formula for Compound Interest

There is a simple formula in which you can calculate compound interest that is, sum of the amount of principal and interest – the principal amount at present.

Formula:

P(1 + r/100)n – P


Where, P is the principal amount, n is the number of years, and r is the rate of interest.

Add example of let’s say a person called XYZ invested Rs. 1,00,000 for 5 years at 10% p.a. returns.

  • Scenario 1: The interest earned is withdrawn every year.
    At the end of 5 years XYZ will end up earning an interest of Rs. 50,000.
  • Scenario 2: The interest gets added back to the principal amount every year.
    At the end of 5 years XYZ will end up earning an interest of Rs. 61,051.

This clearly shows the power of compounding.

How does the compounding work in a fixed deposit?

Fixed deposits are safe investment options that offer
profitable returns. With Bajaj Finance you can invest in a fixed deposit with just Rs. 15,000. It offers customers an investment tenure of 12 to 60 months and the interest rate also varies during this tenure.

Check the latest FD rates.

There are two types of fixed deposit:

Cumulative fixed deposit: In this the interest is compounded annually and the principal amount along with the interest is paid at maturity.
So, every year the interest you earn on your deposits, gets added to the principal amount, which then becomes the principal amount for the next year.

Non-cumulative fixed deposit: These plans pay interest on a monthly, quarterly, half-yearly, or yearly basis. The interest in this case is paid to the investor on a periodic basis, whereas the principal amount is paid at maturity.

The effect of compounding can be significant over the long-term, particularly for investments with a high rate of return and a long investment horizon. For example, if you invest Rs. 1,00,000 in a fixed deposit with an annual interest rate of 7% for 5 years, the total amount you would receive at maturity would be Rs. 1,40,260. However, if the interest is compounded annually, the total amount you would receive at maturity would be Rs. 1,40,710, which is an additional Rs. 450 due to the power of compounding.
It is important to note that the interest rate, compounding frequency, and investment horizon are all important factors that can impact the power of compounding in fixed deposits. Therefore, it is essential to carefully consider these factors when selecting a fixed deposit to ensure that you maximise the benefits of compounding.

What is the Power of Compounding in Mutual Funds?

The power of compounding can work wonders in mutual funds, potentially helping investors achieve their financial goals faster.
In mutual funds, investors can harness the power of compounding through Systematic Investment Plans (SIPs). With an SIP, investors can invest a fixed amount at regular intervals, such as monthly, quarterly or semi-annually, which is then invested in the fund of their choice. The returns earned on these investments are then reinvested back into the fund, allowing the investor to take advantage of the compounding effect.
Over time, this compounding effect can lead to significant growth in the value of the investment.

For example, let's say an investor starts an SIP of Rs. 5,000 per month in an equity mutual fund with an assumed average annual return of 12%. After 10 years, the investment would have grown to approximately Rs. 12 lakhs, with the investor having invested a total of Rs. 6 lakhs over the 10-year period. However, if the investor had not reinvested their returns and simply withdrawn them, the investment would have grown to only around Rs. 9 lakhs, representing a significant difference in returns.

Mutual funds provide a great avenue for investors to take advantage of the power of compounding through regular investments using SIPs. By reinvesting returns and staying invested for the long-term, investors can potentially achieve their financial goals faster and generate higher returns over time.

What are the advantages of compound interest?

Compound interest has several advantages, including:

1. The ability to earn interest on both the original principal and the accumulated interest.
2. The potential for significant growth over time.
3. The ability to compound interest on a regular basis, which can accelerate growth.
4. It can be a powerful tool for building wealth and reaching long-term financial goals.
5. It also can be used to grow savings for retirement, education, and other expenses.

Key rules of investment that enable the power of compounding

Here are some key rules that can help enable the power of compounding in investments:

  • Start investing early:The earlier you start investing, the more time your money will compound and grow.
  • Invest regularly: Setting up a regular investment plan, such as a monthly or annual automatic investment, can help ensure that you are consistently putting money into your investments.
  • Invest for the long-term: The power of compounding is most effective over long periods of time, so it is important to have a long-term investment horizon.
  • Diversify your investments: Diversifying your investments across different asset classes and sectors can help reduce risk and improve returns.
  • Invest in high-growth assets: Investing in assets that have the potential for higher returns, such as stocks, can help increase the power of compounding.
  • Be patient: The power of compounding takes time to work, so it is important to be patient and not make impulsive decisions based on short-term market fluctuations.
  • Avoid unnecessary fees: High fees can eat into your returns and decrease the power of compounding, so it is important to choose low-cost investment options.

In conclusion, the power of compounding can be leveraged in both fixed deposit and mutual funds to generate substantial returns over time, but mutual funds have the potential to generate higher returns as they are invested in a diversified portfolio of securities, which have the potential to grow faster.

In case of compounding, the reinvested earnings can accumulate and compound to create significant growth in the original investment. The power of compounding works in a way where the interest is initially applied to the principal amount and in the subsequent years, it keeps multiplying as the initial amount keeps increasing.
The effect of compounding is dependent on the rate of return and the frequency at which the returns are reinvested. The longer the investment is held and the higher the rate of return, the greater the power of compounding.

Power of Compounding Interest: Calculations and Examples (2024)

FAQs

What is the compound interest on $2500 at 6.75% compounded daily for 20 days? ›

Calculating this, the compound interest on $2,500 at 6.75% compounded daily for 20 days is approximately $2.79.

What is $15000 at 15 compounded annually for 5 years? ›

The time period T = 5 years. A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.

How long will it take to increase a $2200 investment to $10,000 if the interest rate is 6.5 percent? ›

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%.

What is an example of the power of compounding interest? ›

Compounding adds up

In this example, an investor invests $1,000 today earning 8% interest annually. With simple interest, an investor would have $3,400 at the end of 30 years. With compounding, an investor would have over $10,000.

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. 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.

How much money invested at 6% compounded continuously for 5 years will result in $916? ›

- ( t ) is the time the money is invested for, in years. - ( e ) is the base of the natural logarithm, approximately equal to 2.71828. Therefore, the amount of money that must be invested is approximately $679.17. This is the amount that, when invested at 6% compounded continuously for 5 years, will result in $916."

What is the future value of $1000 after 5 years at 8% per year? ›

Answer and Explanation: The future value of a $1000 investment today at 8 percent annual interest compounded semiannually for 5 years is $1,480.24.

What would the future value of $100 be after 5 years at 10 compound interest? ›

The $100 investment becomes $161.05 after 5 years at 10% compound interest.

How long will it take money to double if invested at 5% compounded annually? ›

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.

How long will it take $10000 to reach $50000 if it earns 10% interest compounded semiannually? ›

Question: How long will it take $10,000 to reach $50,000 if it earns 10% annual interest compounded semiannually? Answer: 16.5 years Please show steps to solving this, using the below Equation. I don't know what to put in for "e" Equation 8-7.

How many years does it take to double a $300 investment when interest rates are 8 percent per year? ›

The calculated value of the number of years required for $300 to become double in amount to $600 is option c. 9 years.

How many years does it take to double a $500 investment when interest rates are 4 percent per year? ›

Answer and Explanation:

Years = 72 / Percent interest rate. Years = 72 / 4. Years = 18.

What is the miracle of compound interest? ›

Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”

What is the magic of compounding? ›

The power of compounding helps a sum of money grow faster than if just simple interest were calculated on the principal alone. And the greater the number of compounding periods, the greater the compound interest growth will be.

What is compound interest for dummies? ›

Compound interest is when you add the earned interest back into your principal balance, which then earns you even more interest, compounding your returns. Let's say you have $1,000 in a savings account that earns 5% in annual interest. In year one, you'd earn $50, giving you a new balance of $1,050.

How do you calculate compound interest compounded daily? ›

How is daily compound interest calculated? Daily compound interest is calculated using the formula: A = P (1 + r / n)nt, where P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year (365 for daily), and t is the time the money is invested, in years.

How do I calculate compounding interest? ›

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate raised to the number of compound periods minus one. This will leave you with the total sum of the loan, including compound interest.

How to earn compound interest daily? ›

Money market accounts (MMAs)

A money market account is another type of savings account. It's like a cross between a checking and a savings account. Like a high-yield savings account, you usually get better rates than you would in other types of interest-bearing accounts. Typically, money market accounts compound daily.

How to calculate daily interest? ›

You first take the annual interest rate on your loan and divide it by 365 to determine the amount of interest that accrues on a daily basis. Say you owe $10,000 on a loan with 5% annual interest. You'd divide that 5% rate by 365: 0.05 ÷ 365 = 0.000137 to arrive at a daily interest rate of 0.000137.

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