Factor Analysis - Financial data and calculation factory (2024)

Factor Analysis - Financial data and calculation factory (1)

By analysing the underlying exposures of stocks, funds and strategies, investors can identify which factors are providing the best risk-adjusted returns. This process is called factor analysis, and allows investors to target the inherent risks which they believe will yield the best returns.

Conducting a factor analysis on a fund can explain whether its returns come from overall market exposure (relating to the market risk premium)

This is important as it is often difficult to tell why a stock or fund is performing better or worse than the market. In other words, this process helps to pinpoint the source of returns. Factors can influence the returns of passive index-tracking investments as well as actively-managed portfolios.

Smart beta

Factor analysis provides the foundation for semi-passive quantitative investment strategies like smart beta, an investment approach which uses rules-based methodologies to select stocks. These factor investing strategies aim to take advantage of market anomalies or risks which command higher risk premiums than the market (the market itself trades at a premium to risk-free alternatives).

Smart beta strategies, which are built on factor analysis methodologies, target certain risks in the construction of alternative indices – as opposed to buying into broader market exposure provided by traditional size-based indices. For example, a smart beta exchange-traded fund (ETF) with a momentum bias tracks the performance of stocks which are reflecting high momentum. The performance of the ETF would be measured against a traditional index like the S&P 500.

The smart beta model is implemented through proprietary indices – otherwise known as “self-indexing”.

Popular factors

Common factors, many of which have been proven to yield superior risk-adjusted returns by statistical analyses, include the underlying value element found in many stocks. This factor is based on the notion that undervalued stocks tend to outperform overvalued ones in the long run.

Another popular factor among both active fund managers and quantitative strategies is quality. But some argue that this is a subjective factor which is difficult to define, and so is better suited to the active-management model which makes use of fundamental analysis and manual stock selection.

The size factor, meanwhile, suggests smaller stocks typically perform better than large ones over time, though the reason for this is often debated. Some analysts believe greater returns stem from smaller stocks’ greater risk premiums, due in part to information uncertainty and hence more difficult stock analysis and due diligence processes.

The low volatility factor, on the other hand, targets less volatile investments which outperform on a risk-adjusted basis, while the momentum factor suggests stocks with momentum tend to outperform those which have fallen out of favour.

Investors and researchers have identified a number of other factors believed to be behind greater long-run returns.

Factors, or individual return drivers, tend to be relatively uncorrelated from one another and so they perform under different market conditions and cycles. As such, a multifactor approach to portfolio construction can smooth returns and control volatility.

While a diversified portfolio model in the traditional sense would include exposure to both equities and bonds, a factor investment strategy can be diversified by blending styles which react differently under different market conditions. Instead of diversifying an equity portfolio by including bonds and cash, a small-cap fund can include large stocks so as to diversify risks within a portfolio. Similarly, another method is to combine growth and value strategies.

In fact, a number of market commentators have argued that the traditional portfolio model of diversifying across equities and bonds is not as diversified as previously thought, since these asset classes often move in the same direction during falls and rises in the market.

By honing in on risk components, particularly those which move in opposite directions amid changing market conditions, some proponents believe the factor analysis model supports more diversified portfolios than traditional methods. Essentially, this highlights a shift from diversification across asset classes to diversification by underlying factors.

Factor analysis methods have been used for decades, with early research attempting to decipher stock returns by identifying underlying investment characteristics. The value factor, for example, was identified as far back as 1934 in a paper called Security Analysis, by Graham and Dodd.

A factor-based strategy can be implemented in a number of ways, including using leverage or short selling a fund or index, as is the case with risk premia strategies. The risk premia model targets absolute returns through a basket of long-short investments. An alpha overlay strategy meanwhile helps to diversify a fund by targeting different underlying factors.

Long-only proprietary indices can single out individual factors that are behind better risk-adjusted returns.

Factor Analysis - Financial data and calculation factory (2024)

FAQs

How many responses are needed for factor analysis? ›

There is no shortage of recommendations regarding the appropriate sample size to use when conducting a factor analysis. Suggested minimums for sample size include from 3 to 20 times the number of variables and absolute ranges from 100 to over 1,000.

How to make a questionnaire for factor analysis? ›

Ask many specific questions rather than a few general ones. Factor analysis allows you to summarize broad concepts that are hard to measure by using a series of questions that are easier to measure. The idea is to gather a lot of data points and then consolidate them into useful information.

How to calculate factor analysis? ›

To get the percent of variance in all the variables accounted for by each factor, add the sum of the squared factor loadings for that factor (column) and divide by the number of variables. (Note the number of variables equals the sum of their variances as the variance of a standardized variable is 1.)

What is a factor analysis in financial statement analysis? ›

Factor analysis is a powerful and useful tool in finance and an array of other disciplines. Its ability to simplify complex datasets, identify latent variables, and streamline data interpretation gives it a wide range of applications for researchers and analysts.

What is the rule of thumb for factor analysis? ›

A common rule of thumb is to have at least 10 observations per variable, and at least 3 variables per factor. Second, you should ensure that your variables are measured on an interval or ratio scale, and that they are normally distributed.

What is the CFA rule of thumb? ›

A CFA/SEM rule of thumb is the ratio of cases to free parameters, or N:q is commonly used for minimum recommendations and 10:1 to 20:1 is a commonly suggested ratio (Schumacker & Lomax, 2015;Kline, 2016;Jackson, 2003).

How do you prepare data for factor analysis? ›

Clean up your data: Make sure your data is high quality and ready for analysis. Find hidden patterns: Extract underlying factors that explain the relationships between your variables. Make it easier to understand: Simplify the factors to make interpreting them clearer.

How to interpret factor analysis results? ›

Loadings close to -1 or 1 indicate that the factor strongly influences the variable. Loadings close to 0 indicate that the factor has a weak influence on the variable. Some variables may have high loadings on multiple factors. Unrotated factor loadings are often difficult to interpret.

What is an example of a factor analysis method? ›

Common factor analysis uses covariance matrices to determine which variables have the highest amount of correlation and groups those variables together into a factor. For example, a study on similarities between twins may find a correlation between variables relating to physical appearance and genetics.

How to perform factor analysis in Excel? ›

Setting up a Factor Analysis in XLSTAT

After opening XLSTAT, select the XLSTAT / Analyzing data / Factor analysis commanD (see below). Once you've clicked on the button, the Factor analysis dialog box appears. Select the data on the Excel sheet. The Observations labels are also selected in the corresponding field.

How much data do you need for factor analysis? ›

Exploratory factor analysis (EFA) is generally regarded as a technique for large sample sizes (N), with N = 50 as a reasonable absolute minimum. This study offers a comprehensive overview of the conditions in which EFA can yield good quality results for N below 50.

What is factor analysis for dummies? ›

Factor analysis is a method that aims to uncover structures in large variable sets. If you have a data set with many variables, it is possible that some of them are interrelated, i.e. correlate with each other. These correlations are the basis of factor analysis.

What is the main purpose of the factor analysis? ›

The main idea of factor analysis is to “explain” correlations between observed variables in terms of a few unobservable variables, commonly called factors or latent variables. It will be convenient to refer to the observable and unobservable variables simply as variables and factors, respectively.

What are the two types of factor analysis? ›

There are two types of factor analyses, exploratory and confirmatory.

How do companies use factor analysis? ›

Factor analysis in market research is often used in customer satisfaction studies to identify underlying service dimensions, and in profiling studies to determine core attitudes.

How much sample is required for factor analysis? ›

For factor analysis with 10 items, a sample size of 200 is recommended . For factor analysis with 25 items, a sample size of 250 is suggested . For factor analysis with 90 items, a sample size of 400 is deemed necessary . For factor analysis with 500 items, a sample size of 1000 is recommended .

How many survey responses do I need to be statistically valid? ›

As a very rough rule of thumb, 200 responses will provide fairly good survey accuracy under most assumptions and parameters of a survey project. 100 responses are probably needed even for marginally acceptable accuracy.

How many items needed for confirmatory factor analysis? ›

Developing the Measurement Model: In CFA, it is essential to establish the concept of unidimensionality, where each factor or construct is represented by multiple observed variables that are presumed to measure only that specific construct. Typically, a good practice involves having at least three items per construct.

What are the requirements of factor analysis? ›

Factor analysis uses several assumptions:
  • The variables' linear relationships.
  • Absence of multicollinearity.
  • Relevance of the variables.
  • The existence of a true correlation between factors and variables.

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