# How To Calculate Cumulative Growth Rate

**How To Calculate Cumulative Growth Rate** – The compound annual growth rate (CAGR) is the rate of return (RoR) required for an investment to grow from its initial balance to its final balance, assuming that profits are reinvested at the end of each period of the investment’s life. .

The compound annual growth rate is not an actual rate of return, but a representative figure. It is basically a number that describes the rate at which an investment would grow if it grew at the same rate every year and the profits were reinvested at the end of each year.

## How To Calculate Cumulative Growth Rate

In fact, this type of performance is impossible. However, CAGR can be used to standardize returns so that they are more easily understood than alternative methods.

## Compound Interest Formula With Examples

We can see that each year, the year-on-year growth rate of the investment portfolio was quite different as shown in the parentheses.

On the other hand, the annual compound growth rate simplifies the investment performance and ignores the fact that 2018 and 2020 were very different from 2019. The CAGR during that period was 23.86% and can be calculated as follows:

A CAGR of 23.86% over a three-year investment period can help an investor compare his capital options or forecast future values. For example, imagine that an investor is comparing the performance of two unrelated investments.

## Average Annual Growth Rate (aagr): Definition And Calculation

In any year during this period, one investment may rise and another fall. This can be the case when comparing real estate investments with stocks, or emerging markets. Using CAGR will reduce the annual income over that period so it will be easier to compare the two options.

As another example, suppose an investor bought 55 shares of Amazon.com (AMZN) in December 2017 at $1,180 per share for a total investment of $64,900. Three years later, in December 2020, the stock increased. At $3,200 per share, the investor’s investment is now worth $176,000. What is CAGR?

CAGR can be used to calculate the average growth of a single investment. As we saw in our example above, due to market volatility, year-to-year investment growth will appear erratic and uneven.

### Mistakes You’re Making With Month Over Month Growth Rates

For example, an investment may increase in value by 8% one year, decrease by -2% the next, and increase in value by 5% the next. CAGR helps restore profitability when the growth rate is expected to be volatile and variable.

CAGR can be used to compare different types of investments with each other. For example, suppose that in 2015, an investor deposited $10,000 in an account with an annual interest rate of 1% and another $10,000 in a mutual fund for five years. The rate of return on equity funds will be uneven over the next few years, so comparing the two investments will be difficult.

Assume that at the end of the five-year period, the savings account balance is $10,510.10 and, although other investments have grown unevenly, the ending balance in the stock fund was $15,348.52. Using CAGR to compare two investments can help an investor understand the difference in returns:

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On the surface, with returns nearly nine times that of a savings account, mutual funds seem like a good investment. On the other hand, one of the disadvantages of CAGR is that by smoothing returns, CAGR does not tell the investor how volatile or risky the stock portfolio was.

CAGR can also be used to track the performance of various business stages of one or more companies as well as others. For example, over a period of five years, the supermarket’s market share of sales CAGR was 1.82%, but its customer satisfaction CAGR was -0.58% during the same period. In this way, comparing the CAGR of the steps within the company shows the strengths and weaknesses.

Comparing the CAGR of business activities in similar companies will help assess the weaknesses and strengths of the competition. For example, Big-Cell’s customer satisfaction CAGR may not be as low as Superfast Cable’s customer satisfaction CAGR of -6.31% over the same period.

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Understanding the formula used to calculate CAGR is an introduction to several other ways investors evaluate past returns or estimate future returns. The formula can be transformed algebraically to find the present value or future value of money, or to calculate the intercept rate of return.

For example, imagine that an investor knows they will need $50,000 for a child’s college education in 18 years and they have $15,000 to invest today. What is the average rate of return to achieve that goal? The CAGR calculation can be used to answer this question as follows:

This version of the CAGR formula is a rearranged present value and future value equation. For example, if an investor knows he needs $50,000 and thinks it is reasonable to expect an 8% annual return on his investment, he can use this formula to determine how much he needs to invest to meet his goal.

## Month Over Month

Rarely are investments made on the first day of the year and then sold on the last day of the year. Imagine an investor who wants to evaluate the CAGR of a $10,000 investment placed on June 1, 2013 and sold for $16,897.14 on September 9, 2018.

Before the CAGR can be calculated, the investor needs to know the remaining portion of the holding period. They held the position for 213 days in 2013, the entire year in 2014, 2015, 2016 and 2017, and 251 days in 2018. This investment was held for 5.271 years, which is calculated by:

The total number of days that the investment was made was 1,924 days. To calculate the number of years, divide the total number of days by 365 (1,924/365), which equals 5.271 years.

### Month Over Month Growth

In the CAGR formula, the discount rate can be the total number of years that the investment takes place as follows:

The most important limitation of CAGR is that because it calculates a smooth growth rate over a period, it ignores volatility and implies that growth was constant over that period. With the exception of securities held to maturity, deposits, and similar investments, the income from investments does not equal over time.

Also, CAGR does not take into account when the investor adds money to the portfolio or withdraws money from the portfolio during the measured period.

## Question Video: Interest Compounded Quarterly

For example, if an investor holds a portfolio for five years and invests in the portfolio over a period of five years, then the CAGR will be increased. CAGR would calculate the rate of return based on the balance of five years from beginning to end, and would calculate the accumulated amount as part of the annual growth rate, which would be incorrect.

Apart from the smooth growth rate, CAGR has other limitations. The second limitation in valuing investments is that no matter how stable the growth of a company or investment has been in the past, investors cannot assume that the rate will remain the same in the future. The shorter the time period used in the analysis, the less likely the realized CAGR is to achieve the expected CAGR based on historical results.

The third limitation of CAGR is the representativeness limitation. Say a mutual fund was worth $100,000 in 2016, $71,000 in 2017, $44,000 in 2018, $81,000 in 2019, and $126,000 in 2020. If the fund managers represented in their GR12 at 42.01% over a three-year period ago, they will be technically correct. However, they will leave out some very important information about the fund’s history, including the fact that the fund’s CAGR over the past five years was 4.73 percent on average.

### Converting An Annual Growth Rate To A Monthly Growth Rate

CAGR measures the return on investment over a period of time. Internal rate of return (IRR) also measures investment performance but is more flexible than CAGR.

The most important difference is that CAGR is straightforward enough that it can be calculated by hand. Conversely, more complex investments and projects, or those with variable cash inflows and outflows, are best evaluated using IRR. For IRR returns, a financial calculator, Excel, or portfolio accounting system is best.

Those who want to learn more about CAGR and other financial topics can consider enrolling in one of the best investment courses available today.

#### Compound Annual Growth Rate (cagr) Formula And Calculation

CAGR is a measure used by investors to calculate the rate of growth over time. The term “compound” refers to the fact that CAGR takes into account the effect of compounding, or reinvestment, over time. For example, suppose you have a company with revenues ranging from $3 million to $30 million over a 10-year period. In that case, the CAGR would be around 25.89%.

It will depend on what is best calculated as CAGR

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