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# Compound Return: Definition, How It Works And Example Calculation

Modified: February 21, 2024

Learn about compound return in finance, including the definition, how it works, and an example calculation. Understand the power of compounding for long-term wealth creation.

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## Compound Return: Definition, How It Works, and Example Calculation

Welcome to the “FINANCE” category on our page! If you’re someone who is looking to gain a better understanding of financial concepts, you’re in the right place. Today, we’ll be diving into the fascinating world of compound return, an essential concept in finance and investing. Have you ever wondered how investments grow over time? How is the final value calculated, considering reinvested earnings? In this blog post, we’ll answer these questions and more as we explore the meaning of compound return, how it works, and provide an example calculation.

## Key Takeaways:

- Compound return is a measure that takes into account the effect of reinvested earnings and compounding on the overall growth of an investment.
- It considers both the capital gain or loss and any dividends or interest earned over a specific time period.

## Understanding Compound Return

Compound return, also known as compound annual growth rate (CAGR), is a crucial concept in finance that helps measure the overall growth rate of an investment over a given time period. It takes into account the reinvestment of earnings, compounding the returns on the initial investment. Essentially, it answers the question: “How much would I have earned if I had reinvested my earnings back into the investment?”.

Compound return is particularly useful for comparing the growth rates of different investments or evaluating the performance of investment portfolios. By understanding compound return, investors can make informed decisions based on the expected long-term growth potential of a specific investment.

## How Compound Return Works

Compound return works by reinvesting the returns (dividends, interest, or capital gains) generated by an investment back into the original investment, allowing for further growth over time. Rather than taking out the earnings as cash, compound return calculations assume that these earnings are reinvested at the same rate as the investment itself.

Here are the key steps in calculating compound return:

- Identify the initial value of the investment (the principal amount).
- Determine the final value of the investment at the end of the time period.
- Calculate the number of compounding periods (e.g., years) and denote it as ‘n’.
- Plug in the values into the compound return formula and calculate the compound annual growth rate (CAGR). The formula is:

**CAGR = ((Final Value / Initial Value)^(1/n)) – 1**

## Example Calculation

Let’s say you invested $10,000 in a mutual fund five years ago. Over these five years, the fund has provided annual returns of 8%, which were reinvested. To calculate the compound return, we can use the following formula:

CAGR = ((Final Value / Initial Value)^(1/n)) – 1

Where:

- Initial Value = $10,000
- Final Value = ? (To be determined)
- n = 5 years

Suppose the final value after five years is $13,500. Plugging in the values, the compound annual growth rate (CAGR) can be calculated as:

((13,500 / 10,000)^(1/5)) – 1 ≈ 0.078 or 7.8%

Therefore, the compound return of this investment is approximately 7.8% over the five-year period.

## Conclusion

Understanding compound return is crucial when evaluating the growth potential of investments over time. It takes into account the reinvestment of earnings and compounding effect, providing a more accurate depiction of an investment’s performance. By considering the compound return, investors can make informed decisions about their portfolios and compare the growth rates of different investments. Remember, compound return is a powerful tool that allows you to assess the long-term growth potential of your investments.

We hope this blog post has shed some light on compound return, how it works, and how to calculate it. Stay tuned for more informative finance articles in our “FINANCE” category!