27-03-2018 · 研究

Fama-French 5-factor model: five major concerns

In 2015, Nobel prize laureate Eugene Fama and fellow researcher Kenneth French revamped their famous 3-factor model. They added two new factors to analyze stock returns: Profitability and Investment. But this 5-factor model still raises many questions.

In a research paper recently published in the Journal of Portfolio Management, Robeco’s David Blitz, Matthias Hanauer Milan Vidojevic and Pim van Vliet, highlight five major concerns. In this article they point to a number of shortcomings, in particular concerning the low volatility and the momentum effects, as well as robustness issues.

Back in 1993, Fama and French argued that the size and value factors capture a dimension of systematic risk that is not captured by market beta in the Capital Asset Pricing Model (CAPM). They proposed extending the CAPM, which resulted in the 3-factor model. The size effect is where small cap stocks earn higher returns than those with a large market cap. The value effect is the superior performance of stocks with a low price-to-book ratio compared to those with a high price to book.

Over the past two decades, this 3-factor model has been very influential. It has become common practice in the asset pricing literature to look at both 1-factor and 3-factor alphas. However, many such studies also suggested that the 3-factor model is incomplete and that more factors are needed to accurately describe the cross section of stock returns.

Inspired by this mounting evidence that three factors were not enough, in 2015, Fama and French decided to add two additional factors to their 3-factor model, namely profitability (stocks of companies with a high operating profitability perform better) and investment (stocks of companies with high total asset growth have below average returns). Both new factors are concrete examples of what are popularly known as quality factors.

This 5-factor model is likely to become the new standard in asset pricing studies, which significantly raises the bar for new anomalies. However, it still fails to address important questions left unanswered by the 3-factor model and raises a number of new concerns.

Also read: Beyond Fama-French: alpha from short-term signals

緊貼荷寶量化投資

獲取荷寶的電郵月報及最新觀點報告,構建最綠色的投資組合。

掌握新形勢

Missing Low Volatility and Momentum

The first issue is that, just like its predecessor, the 5-factor model retains the CAPM relationship between risk and return, which implies that, all other things being equal, a higher market beta should result in a higher expected return. This assumption refutes the existence of a low beta or low-volatility premium, despite a wide body of literature showing otherwise.

On this specific matter, Fama and French have argued that the low-beta anomaly is fully accounted for in their 5-factor model. But their conclusion seems premature, since they fail to provide direct evidence that a higher market beta exposure is rewarded with higher returns.

A second concern is that, similar to the 3-factor model, the 5-factor model remains unable to explain the momentum premium, and continues to ignore it. Yet, because momentum is too pervasive and important to ignore, most studies also look at 4-factor alphas, based on the 3-factor model augmented with the momentum factor. For the same reason, many researchers will probably feel the need to add the momentum factor to this new 5-factor model, resulting in a 6-factor variant.

Robustness issues

The robustness of the two new factors is also an issue. It is particularly surprising that the investment factor is defined as asset growth, which Fama and French themselves deemed a ‘less robust’ phenomenon, back in 2008. More specifically, the 5-factor model fails to explain a number of variables that are closely related to the two newly selected ones. Another robustness concern is that it is still unclear whether the two new factors were effective before 1963 or evident in other asset classes, while for other factors such as value and momentum this is known to be the case.

A fourth concern is the economic rationale behind the new model. Fama and French initially justified the addition of the size and value factors by arguing that these could be seen as priced risk factors, implying that they might capture the risk of financial distress. Since then, however, studies have shown that the direct relationship between distress risk and return is actually negative. This is consistent with the existence of a low-risk premium. In the case of profitability and investment, Fama and French do not even attempt to explain that these are plausible risk factors.

Instead, their rationale for including these factors is that they should imply expected returns, which they derive from a rewritten dividend discount model. But it remains unclear if the higher expected returns for firms with high profitability or low investment, all else being constant, are due to higher (distress) risk or just a case of mispricing.

Finally, this updated five-factor model is unlikely to settle the main asset pricing debates or lead to consensus. Competing alternative models have actually already been proposed.”

This article was previously published in Robeco Quarterly magazine and updated on 27 March 2018. This article was initially published in December 2016.

Read our other interview about the 5-factor model


下載刊物

免責聲明

本文由荷宝海外投资基金管理(上海)有限公司(“荷宝上海”)编制, 本文内容仅供参考, 并不构成荷宝上海对任何人的购买或出售任何产品的建议、专业意见、要约、招揽或邀请。本文不应被视为对购买或出售任何投资产品的推荐或采用任何投资策略的建议。本文中的任何内容不得被视为有关法律、税务或投资方面的咨询, 也不表示任何投资或策略适合您的个人情况, 或以其他方式构成对您个人的推荐。 本文中所包含的信息和/或分析系根据荷宝上海所认为的可信渠道而获得的信息准备而成。荷宝上海不就其准确性、正确性、实用性或完整性作出任何陈述, 也不对因使用本文中的信息和/或分析而造成的损失承担任何责任。荷宝上海或其他任何关联机构及其董事、高级管理人员、员工均不对任何人因其依据本文所含信息而造成的任何直接或间接的损失或损害或任何其他后果承担责任或义务。 本文包含一些有关于未来业务、目标、管理纪律或其他方面的前瞻性陈述与预测, 这些陈述含有假设、风险和不确定性, 且是建立在截止到本文编写之日已有的信息之上。基于此, 我们不能保证这些前瞻性情况都会发生, 实际情况可能会与本文中的陈述具有一定的差别。我们不能保证本文中的统计信息在任何特定条件下都是准确、适当和完整的, 亦不能保证这些统计信息以及据以得出这些信息的假设能够反映荷宝上海可能遇到的市场条件或未来表现。本文中的信息是基于当前的市场情况, 这很有可能因随后的市场事件或其他原因而发生变化, 本文内容可能因此未反映最新情况,荷宝上海不负责更新本文, 或对本文中不准确或遗漏之信息进行纠正。