Historical Returns

What are Historical Returns?

The historical return of a financial asset, such as a bond, stock, security, index, or fund, is its past rate of return and performance. The historical data is commonly used in financial analysis to project future returns or determine what variables may impact future returns and the extent to which the variables may influence returns. Concerning standard deviations, historical returns can be used to predict future data points.

The analysis of historical data and historical performance can provide an overview of how a financial asset or security has been reacting to external or internal events that may have caused returns to grow or decline. Such events can be attributed to changes in the economic cycle, or they can be global events.

Although historical data can be used to project future returns and what investors can expect, the data does not forecast actual future returns. Data that is too old may not be ideal for estimating returns.

Understanding Historical Returns

The historical returns of a financial asset are usually recorded from the beginning of a year (i.e., January 1^st) to the end of the year (i.e., December 31^st) to determine the annual return of a particular year. A compilation of past annual returns is needed to depict historical returns over many years. By obtaining the historical returns data, analysts and investors can compute the average historical returns of a financial asset.

It is important to note that average returns do not account for possible fluctuations in the returns. Some years might have seen significant increases in returns, while others might have seen a decline in returns. The high returns offset the low or negative returns; thus, an average return may not always necessarily embody all the information needed for forecasting acceptably.

Historical returns can be estimated for any financial asset, including portfolios, indexes such as the S&P 500, ETFs, mutual funds, commodities, stocks, real estate, etc.

Calculating Historical Returns

The computation for historical returns is relatively simple, provided that all information on past annual performance is available.

The data below provides the historical performance of the S&P 500 index. The data used is for educational purposes only and does not depict real-time historical data.

• December 31, 2016: 2,105
• December 31, 2017: 2,540

To begin calculating the historical returns, the difference between the most recent price and the past price needs to be computed and then divided by the past price multiplied by 100 to get the result as a percentage. The calculation can be done iteratively to cater for longer time periods – e.g., 5 years or more.

Hence, the historical return for the S&P 500 based on the data provided above is calculated as:

Historical Return(s) = [(2,540 – 2,105) / 2,105] x 100 = 0.20665 x 100

Historical Return(s) = 20.7%

Calculating Average Historical Returns

The computation for average historical returns is relatively simple, provided that historical returns have already been calculated.

The data below provides the average historical returns of an index over a 5-year period. The data used is for educational purposes only and does not depict real-time historical data.

• December 31, 2015: 28%
• December 31, 2016: 18.7%
• December 31, 2017: 19.9%
• December 31, 2018: 23.1%
• December 31, 2019: 29.7%

Using a simple mean computation, the average historical return can be found by summing up all the returns and dividing the sum by the number of years (or periods). The calculation can be longer and more tedious, depending on the number of time periods used – e.g., 5 years or more.

Hence, the average historical return for the index based on the data provided above is calculated as:

Average Historical Return(s) = (28% + 18.7% + 19.9% + 23.1% + 29.7%) / 5 = 119.4% / 5

Average Historical Return(s) = 23.9%

Related Readings

CFI is the official provider of the global Capital Markets & Securities Analyst (CMSA)® certification program, designed to help anyone become a world-class financial analyst. To keep advancing your career, the additional CFI resources below will be useful:

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