The Low-volatility Anomaly and the Adaptive Multi-Factor Model

The paper explains the low-volatility anomaly from a new perspective. We use the Adaptive Multi-Factor (AMF) model estimated by the Groupwise Interpretable Basis Selection (GIBS) algorithm to find the basis assets significantly related to each of the portfolios. The AMF results show that the two portfolios load on very different factors, which indicates that the volatility is not an independent measure of risk, but are related to the basis assets and risk factors in the related industries. It is the performance of the loaded factors that results in the low-volatility anomaly. The out-performance of the low-volatility portfolio may not because of its low-risk (which contradicts the risk-premium theory), but because of the out-performance of the risk factors the low-volatility portfolio is loaded on. Also, we compare the AMF model with the traditional Fama-French 5-factor (FF5) model in various aspects, which shows the superior performance of the AMF model over FF5 in many perspectives.

[1]  Liao Zhu The Adaptive Multi-Factor Model and the Financial Market , 2021, ArXiv.

[2]  Martin T. Wells,et al.  A News-based Machine Learning Model for Adaptive Asset Pricing , 2021, ArXiv.

[3]  Robert Shapiro,et al.  Recent Large-Cap Stock Outperformance and Its Impact on US Equities , 2021 .

[4]  Sicheng Wang,et al.  Staying at Home Is a Privilege: Evidence from Fine-Grained Mobile Phone Location Data in the United States during the COVID-19 Pandemic , 2021, Annals of the American Association of Geographers.

[5]  M. Wells,et al.  Time-Invariance Coefficients Tests with the Adaptive Multi-Factor Model , 2020, SSRN Electronic Journal.

[6]  Kuangyan Song,et al.  FrequentNet : A Novel Interpretable Deep Learning Model for Image Classification , 2020, SSRN Electronic Journal.

[7]  Dacheng Xiu,et al.  Asset Pricing with Omitted Factors , 2019, Journal of Political Economy.

[8]  Ali Shojaie,et al.  In Defense of the Indefensible: A Very Naïve Approach to High-Dimensional Inference. , 2017, Statistical science : a review journal of the Institute of Mathematical Statistics.

[9]  Dacheng Xiu,et al.  Thousands of Alpha Tests , 2020, The Review of Financial Studies.

[10]  M. Wells,et al.  High-Dimensional Estimation, Basis Assets, and the Adaptive Multi-Factor Model , 2018, Quarterly Journal of Finance.

[11]  Dacheng Xiu,et al.  Taming the Factor Zoo: A Test of New Factors , 2017, The Journal of Finance.

[12]  M. Wells,et al.  Clustering Structure of Microstructure Measures , 2019, SSRN Electronic Journal.

[13]  M. Wells,et al.  High Dimensional Estimation and Multi-Factor Models , 2018 .

[14]  Turan G. Bali,et al.  A Lottery-Demand-Based Explanation of the Beta Anomaly , 2017, Journal of Financial and Quantitative Analysis.

[15]  Serhiy Kozak,et al.  Interpreting Factor Models , 2017 .

[16]  Dacheng Xiu,et al.  Taming the Factor Zoo∗ , 2017 .

[17]  Harrison G. Hong,et al.  Speculative Betas: Speculative Betas , 2016 .

[18]  Robert Tibshirani,et al.  A General Framework for Estimation and Inference From Clusters of Features , 2015, 1511.07839.

[19]  Philip Protter,et al.  Positive alphas and a generalized multiple-factor asset pricing model , 2015 .

[20]  David A. Lesmond,et al.  Liquidity Biases and the Pricing of Cross-Sectional Idiosyncratic Volatility around the World , 2010, Journal of Financial and Quantitative Analysis.

[21]  S. You The Leveraged City , 2014 .

[22]  E. Fama,et al.  A Five-Factor Asset Pricing Model , 2014 .

[23]  S. Shamah Structured Currency Options , 2013 .

[24]  R. Stambaugh,et al.  Arbitrage Asymmetry and the Idiosyncratic Volatility Puzzle , 2012 .

[25]  J. Hsu,et al.  When Sell-Side Analysts Meet High-Volatility Stocks: An Alternative Explanation for the Low-Volatility Puzzle , 2012 .

[26]  R. Tibshirani,et al.  Strong rules for discarding predictors in lasso‐type problems , 2010, Journal of the Royal Statistical Society. Series B, Statistical methodology.

[27]  Robert Tibshirani,et al.  Hierarchical Clustering With Prototypes via Minimax Linkage , 2011, Journal of the American Statistical Association.

[28]  Trevor Hastie,et al.  Regularization Paths for Cox's Proportional Hazards Model via Coordinate Descent. , 2011, Journal of statistical software.

[29]  Andrea Frazzini,et al.  Betting Against Beta , 2010 .

[30]  Malcolm P. Baker,et al.  Benchmarks as Limits to Arbitrage: Understanding the Low-Volatility Anomaly , 2010 .

[31]  Trevor Hastie,et al.  Regularization Paths for Generalized Linear Models via Coordinate Descent. , 2010, Journal of statistical software.

[32]  C. Patel High Idiosyncratic Volatility and Low Returns: International and Further U.S. Evidence , 2009 .

[33]  Qianqiu Liu,et al.  Return Reversals, Idiosyncratic Risk, and Expected Returns , 2009 .

[34]  Fangjian Fu Idiosyncratic Risk and the Cross-Section of Expected Stock Returns , 2009 .

[35]  R. Hodrick,et al.  High Idiosyncratic Volatility and Low Returns: International and Further U.S. Evidence , 2008 .

[36]  Herbert Egger,et al.  On decoupling of volatility smile and term structure in inverse option pricing , 2006 .

[37]  R. Hodrick,et al.  The Cross-Section of Volatility and Expected Returns , 2006 .

[38]  Y. Benjamini,et al.  THE CONTROL OF THE FALSE DISCOVERY RATE IN MULTIPLE TESTING UNDER DEPENDENCY , 2001 .

[39]  Tyler Shumway The Delisting Bias in CRSP Data , 1997 .

[40]  R. Tibshirani Regression Shrinkage and Selection via the Lasso , 1996 .

[41]  Y. Benjamini,et al.  Controlling the false discovery rate: a practical and powerful approach to multiple testing , 1995 .

[42]  Peter J. Rousseeuw,et al.  Finding Groups in Data: An Introduction to Cluster Analysis , 1990 .

[43]  Thomas H. Mcinish,et al.  Adjusting for Beta Bias: An Assessment of Alternate Techniques: A Note , 1986 .

[44]  S. Ross The arbitrage theory of capital asset pricing , 1976 .

[45]  R. C. Merton,et al.  AN INTERTEMPORAL CAPITAL ASSET PRICING MODEL , 1973 .

[46]  J. L. Bicksler,et al.  Studies in the Theory of Capital Markets. , 1973 .

[47]  F. Black,et al.  The Capital Asset Pricing Model: Some Empirical Tests , 2006 .

[48]  F. Black Capital Market Equilibrium with Restricted Borrowing , 1972 .

[49]  H. Theil,et al.  Economic Forecasts and Policy. , 1959 .