Investment Research An Industry Selection Model Does Industry Selection Add Up? Ciprian Marin, Director, Portfolio Manager/Analyst An industry selection model can be defined as a systematic tool that tilts a portfolio towards industries that are predicted to outperform and underweights those that are predicted to underperform. If the process can discern winning/losing industry groups, it can enhance the value added from a stock-selection methodology. While this is a relatively simple concept, it has historically been difficult to add value through this method without increasing the volatility of the returns. In this paper, we present an industry selection model and its return sources. We also show that such a model can potentially add consistent returns at reasonable risk levels. We find that momentum is the most effective factor for selecting industries but, when used on its own, it does materially increase volatility. The use of other factors diversifies the model and provides some insurance against momentum swings. Our results indicate that industry selection can play a role in a portfolio but, as we will detail, we believe implementation with other models is crucial to maximize Sharpe ratios. 2 Introduction Methodology and Research Results The high volatility of individual industry returns is a wellestablished characteristic of equity markets. As a result, we believe industry selection is important in achieving consistent returns and, in many environments (e.g., 2015 when oil exposure dominated return outcomes), industry selection can account for a large component of relative performance. Yet, industry selection is difficult and models that implement it are prone to volatile return patterns. Stock selection models show that certain factors are better than others at selecting sectors or industries. In order to build our model for this research, we analyzed the performance of fundamental and technical factors at an industry level in order to build an industry selection model. On the other hand, industry-neutral style returns can have very low volatility. The outcomes of a successful industry-neutral stock selection model should be consistent outperformance and high information ratios. The drawback with this approach, however, is that the outperformance may be lower than some investors’ objectives. This can be exacerbated by periods of low or decreasing risk—in fact there are periods when the relative risk (tracking error) of active portfolios decreases to 50% of the previous level.1 For a systematic investor, generating high relative returns on low tracking errors may prove difficult. Is there an approach to industry selection that adds returns to an industry-neutral stock model without increasing risk? Or, in other terms, can an investor increase alpha through controlled industry bets? In this paper, we explore these questions and explain how we believe our research shows that it is possible to create an industry selection model based on diversified return sources. This means that industry allocations can enhance stock selection models, enabling systematic investors to potentially deliver higher returns without sacrificing the consistency that is the hallmark of many systematic approaches. Data For our research, we have built the industry model from the bottom up, starting with all the stocks in the S&P World Developed Broad Market Index between 1994 and 2015. In the exploratory phase of the analysis, we report data through 2014 (Exhibits 1–3) and for the final model we added data through March 2015.2 We use free-float adjusted market capitalization (greater than $100 million) from the S&P/DJ Index database and stock returns from EXshare/FactSet. For fundamental items we use both FactSet Fundamentals and Worldscope databases. We use the GICS definition when classifying sectors and industries. The GICS structure consists of 10 sectors, 24 industry groups, 67 industries, and 156 sub-industries. Momentum Momentum at the sector level was a natural starting point for our research. We have long been aware of the power of momentum (the measure of market sentiment) at a sector level. However, we used sub-industries (and industries for the final model), not sectors, because more groups make for a statistically stronger signal. To clarify, we define momentum as past performance of the sector/industry. For example, by three-month industry momentum we mean the performance of a portfolio which buys the top 20% of industries with the best performance over the previous three months and sells the bottom 20% of worstperforming industries over the same period. First, we noticed that sub-industry momentum is very strong (Exhibit 1). One-month sub-industry momentum contributed, on average, nearly 70 basis points (bps) per month. At three-months momentum, returns rose to 87 bps. This impact was persistent over different time periods, and even when momentum was calculated over three years, it still contributed 47 bps. However, it is important to note that standard deviation was very high, meaning the Sharpe ratio was low. Exhibit 1 Sub-Industry Momentum Is a Strong Signal Sub-Industry Momentum 1997–2014 Mean Return (Monthly; %) Standard Deviation (Monthly; %) Sharpe Ratio (Annualized) 1-Month 0.69 4.41 0.54 3-Month 0.87 4.54 0.67 12-Month 0.84 5.28 0.55 3-Year 0.47 4.91 0.33 Momentum Factor As of 31 December 2014 The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. Source: FactSet, Lazard, Standard & Poor’s, Worldscope 3 In our view, these data are very powerful, but what is driving performance—common factors across the entire market or industry-specific drivers? To answer this question, one needs to separate how much is coming from the systematic component (i.e., the market and underlying trends in the market) and how much is industryspecific (e.g., earnings in an industry having a bull run). We accomplish this by decomposing returns into its systematic and residual parts using a statistical model. The statistical model we use is a principal component analysis on sub-industry returns. It is similar to a Barra or Axioma factor model with the difference that factors are not specified in advance but are selected by the process in such a way that the factors selected explain the highest amount of variance in the data.3 We initially used a three-factor statistical model. The first factor is usually the market, as in most statistical models the market accounts for most of the volatility in returns. The second factor is the dominant factor in the respective period. For example last year, it was exposure to the oil price. In 2011, it was exposure to Greece and, in 2008, it was credit exposure. The third factor, which can vary, is the next biggest contributor to volatility. Once this process was completed we separated sub-industry returns: • Systematic returns: explained by the three factors. • Residual returns: unexplained by the statistical model. Based on our research, systematic-driven momentum returns are much higher than the residual returns, and they seem to drive total momentum returns (Exhibit 2). The systematic component is responsible for 74 bps and the residual component is responsible for 20 bps of one-month momentum.4 However, the residual returns do have far less volatility, resulting in comparable Sharpe ratios to those of the systematic returns. The question that now emerges is how much of these systematic returns are purely market driven, i.e., is industry selection mostly about selecting high-beta industries when the market is doing well? If that were the case, industry selection would really be about market timing—which is a difficult and even dangerous practice, in our view. To answer this question, we reduced the three factors to one—the market. The results show that the one-factor systematic momentum (just the market) contributes less to momentum returns than when we used three factors, but importantly also accounts for most of the volatility (Exhibit 3). In other words, the market (or market timing) is not purely driving momentum returns. This finding encouraged us to further investigate the source of the returns. However, we were unable to completely separate the systematic and residual components. Our hope was that we could just use the residual component of the returns because of its lower volatility. This is possible in a stock selection model, which can therefore potentially generate consistent outperformance with low risk. In contrast, sub-industry momentum returns are driven by both systematic and residual factors. Using just the residual returns would imply losing some power in the model. Retaining systematic returns does increase volatility, but we believe the higher returns make it a worthwhile trade-off. Exhibit 2 Systematic Returns Drive Momentum Exhibit 3 The Market Is Not the Only Factor Driving Momentum Returns Decomposing Sub-Industry Momentum Returns Into Systematic and Residual Using a 3-Factor Statistical Model: 1997–2014 Decomposing Sub-Industry Momentum Returns Into Systematic and Residual Using a 1-Factor Statistical Model: 1997-2014 Mean Return (Monthly; %) Standard Deviation (Monthly; %) Sharpe Ratio (Annualized) Systematic Momentum 1 Month 0.74 4.99 0.51 Systematic Momentum 12 Months 0.74 5.31 Residual Momentum 1 Month 0.20 Residual Momentum 12 Months 0.37 Factors Mean Return (Monthly; %) Standard Deviation (Monthly; %) Sharpe Ratio (Annualized) Systematic Momentum 1 Month 0.44 5.31 0.29 0.48 Systematic Momentum 12 Months 0.36 5.30 0.23 1.96 0.36 Residual Momentum 1 Month 0.63 3.02 0.73 2.39 0.53 Residual Momentum 12 Months 0.84 3.85 0.76 Factors As of 31 December 2014 As of 31 December 2014 The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. Source: FactSet, Lazard, Standard & Poor’s, Worldscope Source: FactSet, Lazard, Standard & Poor’s, Worldscope 4 When implementing this model, we tried to maintain the power of a stock selection model by using industry selection only as an overlay strategy. This means that when ranking stocks, if any stocks have a high stock-specific alpha and high sub-industry alpha we would then take a bigger position in the stock. However, it proved challenging to keep a high exposure to both our stock selection model and sub-industry model—mostly because of the limited number of stocks in some sub-industries. We decided to change our implementation by 1) Using a broader classification: industries instead of sub-industries, and 2) Adding other factors to momentum. Other Factors We turned to study other factors, as momentum is, of course, not the only investment style and we did not want our industry selection model to become momentum biased. With this in mind, we included a score based on fundamental factors to the momentum model, and we reviewed a group of fundamental measures to help select industries. Interestingly, some of the strongest traditional value measures— earnings yield, cash flow yield, and book to price—were the weakest signals and generated negative monthly returns. On the other hand, we found four factors were helpful for industry selection: cash flow to assets, operating margin, return on equity (ROE), and earnings per share (EPS) growth for the last five years. Just as we did for momentum, the top 20% of industries scored on each factor was bought and the bottom 20% was sold. The combination of these four factors contributed 58 bps per month (Exhibit 4). Final Model To construct the final model, we first added an adjustment to soften the momentum swings. We included the (negative) correlation with the market in such a way that we penalized industries in which the market accounted for a large part of the previous twelve-month returns.5 In simple terms, we wanted to exclude industries that outperformed because of the market, so we included a negative correlation term (i.e., the industry correlation with the market multiplied by -1) as an additional control. This adjustment smoothed some of the volatility in the momentum model. The final industry selection model was composed of the following weights: 60% momentum, 20% (negative) correlations, and 20% fundamental score.6 While adding the negative correlation and fundamentals to the overall model generated weaker results (1.30%) than did the standalone momentum factor (1.37%), it diversified the model and provided some protection against momentum swings (Exhibit 5). Exhibit 4 Selected Fundamental Factors Add Value to the Model All Sample Data: 1995–2015 Mean Return (Monthly; %) Standard Deviation (Monthly; %) Sharpe Ratio (Annualized) Earnings Yield -0.20 4.37 -0.16 Cash Flow Yield -0.23 4.20 -0.19 Book to Price -0.64 3.80 -0.58 Cash Flow to Assets 0.37 2.17 0.60 Operating Margin 0.47 2.12 0.76 ROE 0.32 3.36 0.33 EPS Growth – 5 Years 0.34 2.37 0.49 The 4 Selected Factors 0.58 2.75 0.73 Factors As of 31 March 2015 The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. Source: FactSet, Lazard, Standard & Poor’s, Worldscope Exhibit 5 Industry Selection Model Adds Value All Sample Data: 1995–2015 Mean Return (Monthly; %) Standard Deviation (Monthly; %) Sharpe Ratio (Annualized ) Momentum 1.37 4.62 1.03 Market Correlation (Inverse) 0.66 3.72 0.61 Fundamental Score 0.66 2.71 0.85 Industry Alpha Score 1.30 4.51 1.00 Factors As of 31 March 2015 The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. Source: FactSet, Lazard, Standard & Poor’s, Worldscope 5 Exhibit 6 Consistently Adding Value over Time Industry Selection Model Factors (%) 6 4 2 0 -2 1995 Momentum 1999 Correlation Inverse 2003 Fundamental Score 2007 2011 2015 Industry Alpha Score As of 31 March 2015 The performance quoted represents past performance. Past performance is not a reliable indicator of future results. This information is for illustrative purposes only and does not represent any product or strategy managed by Lazard. Source: FactSet, Lazard, Standard & Poor’s, Worldscope Exhibit 6 shows the performance of the three different components of the model and the final model over time. In 15 of the 20 back-tested years the industry model added value (denoted by the industry alpha score). We believe if a stock is favored by both the stock selection and industry selection models that security warrants a larger position size. An industry selection model should not interfere with a stock selection model but should complement it. Conclusion A stock selection model is still the most reliable and effective way to systematically build a portfolio, in our view. However, the industry selection model overlay is a compelling choice for specific asset allocators that understand the trade-offs involved in the process. Our research shows that it is possible to create an industry selection model based on diversified return sources. Although momentum is the main driver of industry returns and momentum returns are heavily reliant on macroeconomic conditions, we show that the market contribution to industry momentum profits has been very limited and that both common and specific factors have driven industry momentum returns. We add technical and fundamental factors to create a diversified and robust industry selection model. 6 This content represents the views of the author(s), and its conclusions may vary from those held elsewhere within Lazard Asset Management. Lazard is committed to giving our investment professionals the autonomy to develop their own investment views, which are informed by a robust exchange of ideas throughout the firm. Notes 1 For example, as a result of monetary easing, market risk dropped significantly between 2011 and 2014. 2 The start dates on the reported results are later than 1994 because items such as three-year momentum would require three extra years of data. 3 Principal Component Analysis uses an iterative procedure which creates linear combinations of the inputs in such a way that the first combination will explain the maximum amount of variance. 4 As additional clarification, the results of the return components do not add up exactly to those shown in Exhibit 1. This follows from the process of first decomposing the returns (into systematic and residual components) and then calculating the momentum returns. We also are using only 1- and 12-month momentum returns (dropping the 3-month data point) to represent short- and long-term momentum. 5 Twelve-month momentum made it to the final model because shorter period momentum has higher turnover. 6 Model weights were selected following the in-sample table not presented in this paper. Important Information Published on 30 June 2016. Information and opinions presented have been obtained or derived from sources believed by Lazard to be reliable. Lazard makes no representation as to their accuracy or completeness. All opinions expressed herein are as of the published date and are subject to change. Equity securities will fluctuate in price; the value of your investment will thus fluctuate, and this may result in a loss. 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