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Compound Annual Growth Rate – Meaning, Formula, Calculation & Uses

Investors Junction • December 31, 2024 • 5 min read
CAGR Calculation & Formula

The financial metrics are vital when making informed investment decisions. One such metric, namely Compound Annual Growth Rate or CAGR, measures the average growth rate of an investment over a certain period. This guide breaks the concept of CAGR and explains its formula while drawing attention to its practical application.

What is CAGR?

CAGR is the abbreviation for Cumulative Annual Growth Rate, which represents the mean annual growth percent of an investment over a specified time frame, assuming the profits are reinvested at the end of each period. It differs from simple averages because it takes into account compounding.

For instance, if you had an amount invested in a mutual fund, the CAGR will show you how much would have been consistently added in every year to reach the final value from that amount.

CAGR helps immensely when there are several investments with varying durations of existence or fluctuating performances. It levels out the bumps in the ride, presenting an unadulterated view of growth.

CAGR Formula

CAGR is given by: CAGR = (FV / PV)^(1 / n) – 1

Where:

FV : The final value of investment

PV: Starting value of the investment

n: Number of years

It is presented in terms of percentage, so it becomes very easy to understand.

How does CAGR work?

CAGR standardizes the rate of return over time regardless of the fluctuations in the investment period. Let’s take a step-by-step approach:

Start with Initial and Final Values:

Identify the starting and ending values of the investment.

Determine the Time Period:

This means the total years the investment has existed.

Apply the Formula:

Using the CAGR formula, calculate the growth rate.

Interpret the Results:

The more significant the CAGR is, the better the annualized growth will be.

Example:

You invest 10,000 and have it grow to 20,000 within 5 years. Therefore, CAGR is:

This is interpreted that, on average, your investment would increase by 14.87% annually over the five-year period.

Benefits of CAGR

The primary benefits of compounded annual growth rate are:

Accuracy:

CAGR takes into account compounding. Hence, it gives a practical growth measure.

Simplicity:

It simplifies complicated growth patterns into a single, easy-to-understand number.

Comparison Tool:

CAGR is the best for comparing the performance of different investments, regardless of their time frames.

Smoothens Volatility:

CAGR averages out the yearly growth rates and eliminates the noise caused by yearly market fluctuations.

Insightful for Long-Term Goals:

CAGR explains how an investment fits within long-term financial goals like retirement or funding children’s education.

Universal Metric:

It works well across the asset classes, whether equity, mutual fund, real estate, or even business growth metrics.

Uses of CAGR

The major use cases of compounded annual growth rate is:

Evaluating Investment Performance:

Investors employ CAGR to evaluate just how well a portfolio or individual asset has performed in the passage of time.

Comparing Mutual Funds:

When selecting mutual funds, CAGR allows investors to compare the historical performance of varied schemes.

Business Revenue Analysis:

Companies use CAGR to analyse revenue growth over multiple years, helping stakeholders understand long-term performance.

Benchmarking Goals:

Individuals can use CAGR to track whether their investments are meeting expected returns.

Analysing Market Trends:

CAGR assists to find the trends in stock prices, industries, or economies.

Assessing Consistency:

It measures how consistent the growth of an investment or business has been.

CAGR Calculator

Manually calculating CAGR can be time-consuming, especially when dealing with multiple investments. A CAGR calculator simplifies the process, requiring only the initial value, final value, and duration.

These calculators are available online through financial websites, investment apps, and brokerage platforms. Input the required values, and the tool will instantly compute the CAGR for you.

Things to Keep in Mind When It Comes to CAGR

There are some things you need to make considerations of before you can invest in CAGR:

CAGR Assumes Linear Growth:

In reality, investments are not typically grown linearly; CAGR only offers an average.

Does Not Account for Volatility:

It does indeed smooth out returns but fails to consider year-to-year fluctuations.

Dependent on Time Period:

A short period may provide a high CAGR and vice versa, so context is critical.

Not Ideal for Short-Term Analysis:

CAGR is more effective for long-term growth evaluation.

Conclusion

CAGR is a very powerful tool that simplifies the process of calculating the growth rate of investments over time. With the help of CAGR, investors can make decisions based on data. Even though CAGR is very insightful, it should be used with help to judge investment performance.

FAQs

Q1. What Is a Good CAGR?

A good CAGR is relative to the type of investment. For equity investments, a CAGR of 12-15% is considered strong, whereas for debt instruments, 6-8% may be sufficient.

Q2. What Is Risk-Adjusted CAGR?

Risk-adjusted CAGR considers the volatility of returns, giving a more nuanced view of performance by taking into account the risk taken to achieve growth.

Q3. Why is CAGR better than average?

A standardized growth rate, CAGR, considers compounding, whereas an average ignores the sequence of returns and compounding effects.

Q4. Do mutual funds use compound interest rates?

Yes, all forms of mutual funds give you returns in the compounding annual growth rate, which makes it a good tool of investment for wealth creation, and combating the growth of inflation.

Q5. How can I calculate CAGR?

You can either manually calculate the CAGR equation, which is – CAGR = (FV / PV)^(1 / n) – 1. Or you can use the online CAGR calculators available online for free.

 

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