15-09-2018 | インサイト

Fama and French have expanded their original 3-factor model by adding two factors. What do we think of this?

- The addition of two more factors to the 3-factor model has drawbacks
- 5- factor model still ignores momentum and low volatility
- Addition of two quality factors premature
- Opinions on main implications are divided

Three Robeco experts on empirical asset pricing give their views. They acknowledge the major contributions Fama and French have made to the literature in the past and so studied this new research with great interest. However the debate is set to continue – they take a critical view of this newly proposed model.

Nobel laureate Eugene Fama and Kenneth French have developed a 5-factor model^{1} to describe stock returns by adding two new factors to their classic (1993) 3-factor model.^{2} The 3-factor model consists of market risk, size and value. The size effect is that stocks with a small market cap earn higher returns than stocks with a large market cap, and was found to exist in the 1963-1990 period. The value effect is the superior performance of stocks with a low price to book compared with stocks with a high price to book.

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Fama and French have now added profitability (stocks with a high operating profitability perform better) and an investment factor (stocks of companies with the high total asset growth have below average returns). Both new factors are concrete examples of what are popularly known as quality factors. The paper ‘A five-factor asset pricing model’ was published in the Journal of Financial Economics in April 2015. We asked three Robeco experts, who recently published a research article on this topic in the Journal of Portfolio Management, what they think of this new model. Pim van Vliet, Portfolio Manager Conservative Equites, David Blitz, Head of Quantitative Equity Research and Matthias Hanauer, Quantitative Researcher, discuss the implications.

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Van Vliet sees the addition of two more quality factors as a big change from the old model. ”If you exclude market risk, the new model effectively doubles the number of factors to four. All these factors interact, which makes it more difficult to summarize the cross section of stock returns.”

‘The paper does fill a gap in the literature’

David Blitz is also critical about the way the empirical research is approached. “This approach can even be considered as a form of tautology, because they use five factors to explain the returns of those same five factors.”

The two new factors (profitability and investment) are thus used to explain their own performance. I would prefer it if they showed that just a handful of factors can be used to explain the performance of the numerous factors found in the literature. They do this in the follow up paper, but it should form the basis for their study.

Van Vliet is more surprised by the factors they did not include. “The new model still ignores momentum, while this factor is widely accepted within academia and has been around for 20 years.”

They also omitted the low volatility factor, although for Blitz this is not such a big surprise. “There is a practical reason for excluding it, because it is not easy to combine with the market risk factor in the three factor model,” he says. “The market factor, which is similar to the beta factor of the capital asset pricing model, still assumes higher returns for higher risk, while a low-volatility factor would assume the opposite. An alternative approach would be to scrap the market factor altogether, but they did not choose this more radical step.”

Blitz argues that Fama and French have been too quick to add the two factors. “The two new factors they have added are relatively recent discoveries and the research of these factors in different markets and time periods is still limited.”

Hanauer says a different definition of two factors related to quality might be more appropriate. “They have added the two factors but it is unclear why they have chosen these precise definitions, “he says. “In my opinion, the definition of gross profitability given by Robert Novy-Marx^{3} would have been a natural choice.”

Adding two factors is a big step, but in some way it is only a modest step, thinks Blitz. “In the AQR paper, ‘quality minus junk’, twenty underlying quality variables are used, only two of which are selected by Fama and French. Why select two instead of twenty? Why select those two particular variables? A lot of questions remain unanswered.” Don’t get me wrong, he adds. “I am not against these two extra variables, but why have they given them a special status by putting them in a model, while a range of other variables are available?”

According to Hanauer, the two quality factors contradict earlier findings by Fama and French. “In their 2008 paper, Dissecting Anomalies,^{4} they stated that the asset growth and profitability anomalies are less robust. However, in their 5-factor model they use exactly this same asset growth variable in their investment factor.

The three experts are divided on what the main implications of the 5-factor model will be. Blitz suggests that Fama and French may have distanced themselves from their previously steadfast belief in efficient markets, where the relation between risk and return is linear and positive.

“The three factor model still fitted this belief, because they saw size and value as risk factors, just like market risk in the capital asset pricing model. But now they don’t even bother to explain how the two new quality factors fit into their old framework, or whether there are behavioral explanations for these factors.”

Hanauer does see a bright side to the new model. “Despite all the criticism, the paper does fill a gap in the literature on these two quality factors.” Van Vliet says that Fama and French did a great job with their original 1993 model in reducing the number of factors that were proposed in various different papers in the 1980s. “And now they added two more. These additional factors will give quite some food for thought the coming years.”

Updated on 15 September 2018. This article was initially published in October 2015.

^{1}Fama, E., and K. French. “A Five-Factor Asset Pricing Model.” Journal of Financial Economics, 116 (2015), pp. 1-22.

Working Paper (September 2014) available at SSRN (free download)^{2}Fama, E., and K. French. “Common Risk Factors in the Returns on Stocks and Bonds.” Journal of Financial Economics, 33 (1993), pp. 3-56.^{3}Novy-Marx, R. “The Other Side of Value: The Gross Profitability Premium.” Journal of Financial Economics 108(1), 2013, 1-28^{4}Fama, E., and K. French. “Dissecting Anomalies.” Journal of Finance, (August 2008), pp. 1653-1678. Working Paper (June 2007) available at SSRN (free download)^{5}Fama, Blitz, David and Hanauer, Matthias X. and Vidojevic, Milan and van Vliet, Pim, Five Concerns with the Five-Factor Model (November 1, 2016). Available at SSRN (free download)

Read the related research paper

Five Concerns with the Five-Factor Model
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