Average Return: Meaning, Calculations and Examples (2024)

What Is Average Return?

The average return is the simple mathematical average of a series of returns generated over a specified period of time. An average return is calculated the same way that a simple average is calculated for any set of numbers. The numbers are added together into a single sum, then the sum is divided by the count of the numbers in the set.

Key Takeaways

  • The average return is the simple mathematical average of a series of returns generated over a specified period of time.
  • The average return can help measure the past performance of a security or portfolio.
  • The average return is not the same as an annualized return, as it ignores compounding.
  • The geometric average is always lower than the average return.

Understanding Average Return

There are several return measures and ways to calculate them. For the arithmetic average return, one takes the sum of the returns and divides it by the number of return figures.

AverageReturn=SumofReturnsNumberofReturns\text{Average Return} = \dfrac{\text{Sum of Returns}}{\text{Number of Returns}}AverageReturn=NumberofReturnsSumofReturns

The average return tells an investor or analyst what the returns for a stock or security have been in the past, or what the returns of a portfolio of companies are. The average return is not the same as an annualized return, as it ignores compounding.

Average Return Example

One example of average return is the simple arithmetic mean. For instance, suppose an investment returns the following annually over a period of five full years: 10%, 15%, 10%, 0%, and 5%. To calculate the average return for the investment over this five-year period, the five annual returns are added together and then divided by 5. This produces an annual average return of 8%.

Now, let’s look at a real-life example. Shares of Walmart returned 9.1% in 2014, lost 28.6% in 2015, gained 12.8% in 2016, gained 42.9% in 2017, and lost 5.7% in 2018. The average return of Walmart over those five years is 6.1%, or 30.5% divided by 5 years.

Calculating Returns From Growth

The simple growth rate is a function of the beginning and ending values or balances. It is calculated by subtracting the ending value from the beginning value and then dividing by the beginning value. The formula is as follows:

GrowthRate=BVEVBVwhere:BV=BeginningValueEV=EndingValue\begin{aligned} &\text{Growth Rate} = \dfrac{\text{BV} -\text{EV}}{\text{BV}}\\ &\textbf{where:}\\ &\text{BV} = \text{Beginning Value}\\ &\text{EV} = \text{Ending Value}\\ \end{aligned}GrowthRate=BVBVEVwhere:BV=BeginningValueEV=EndingValue

For example, if you invest $10,000 in a company and the stock price increases from $50 to $100, then the return can be calculated by taking the difference between $100 and $50 and dividing by $50. The answer is 100%, which means you now have $20,000.

The simple average of returns is an easy calculation, but it is not very accurate. For more accurate calculations of returns, analysts and investors also frequently use the geometric mean or the money-weighted rate of return.

Average Return Alternatives

Geometric Average

When looking at average historical returns, the geometric average is a more precise calculation. The geometric mean is always lower than the average return. One benefit of using the geometric mean is that the actual amounts invested need not be known. The calculation focuses entirely on the return figures themselves and presents an apples-to-apples comparison when looking at two or more investments’ performances over more various time periods.

The geometric average return is sometimes called the time-weighted rate of return (TWR) because it eliminates the distorting effects on growth rates created by various inflows and outflows of money into an account over time.

Money-Weighted Rate of Return (MWRR)

Alternatively, the money-weighted rate of return (MWRR) incorporates the size and timing of cash flows, making it an effective measure for returns on a portfolio that has received deposits, dividend reinvestments, and/or interest payments, or has had withdrawals.

The MWRR is equivalent to the internal rate of return (IRR), where the net present value equals zero.

Average Return: Meaning, Calculations and Examples (2024)

FAQs

Average Return: Meaning, Calculations and Examples? ›

Average Return Example

How do you calculate average return? ›

To calculate the average rate of return, add together the rate of return for the years of your investment, and then, divide that total number by the number of years you added together. Add together the annual rate of returns. Divide the sum by the number of annual returns you added.

What is the mean average return? ›

The average return refers to the simple mathematical average of a series of returns generated over some time. With any set of numbers, an average return is calculated the same way a simple average is calculated. The numbers are summed up into a single sum. It is then divided by the number in the set.

What is the formula for the average real return? ›

The real rate of return is the actual annual rate of return after taking into consideration the factors that affect the rate like inflation and it is calculated by one plus nominal rate divided by one plus inflation rate minus one and inflation rate can be taken from consumer price index or GDP deflator.

How do you calculate return on average? ›

For the arithmetic average return, one takes the sum of the returns and divides it by the number of return figures. The average return tells an investor or analyst what the returns for a stock or security have been in the past, or what the returns of a portfolio of companies are.

What is the correct formula for calculating return? ›

Key Takeaways. Return on investment (ROI) is an approximate measure of an investment's profitability. ROI is calculated by subtracting the initial cost of the investment from its final value, then dividing this new number by the cost of the investment, and finally, multiplying it by 100.

What is the formula for mean returns? ›

Mean returns are calculated by adding the product of all possible return probabilities and returns and placing them against the weighted average of the sum.

How is mean average calculated? ›

To calculate the mean, you first add all the numbers together (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores used (47 / 7 = 6.7). In this example, the mean or average of the number set is 6.7.

Why do we calculate average rate of return? ›

The average rate of return is a way of comparing the profitability of different choices over the expected life of an investment. To do this, it compares the average annual profit of an investment with the initial cost of the investment.

What does the average formula return? ›

Returns the average (arithmetic mean) of the arguments. For example, if the range A1:A20 contains numbers, the formula =AVERAGE(A1:A20) returns the average of those numbers.

How to calculate actual return? ›

You can calculate the rate of return on your investment by comparing the difference between its current value and its initial value, and then dividing the result by its initial value.

How do you calculate the average rate? ›

The average rate of change represents a measurement that can provide insight into a variety of applications. From finance and accounting to engineering applications, you can calculate the average rate of change using the simple algebraic formula: (y1 - y2) / (x1 - x2).

What is the arithmetic average return formula? ›

The arithmetic return is the most basic form of average: add the numbers together and divide them by the count of numbers that were added together.

How do you calculate average accounting return? ›

The Accounting Rate of Return formula is as follows: ARR = average annual profit / average investment.

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