Discussion Arbitrage Asymmetry and the Idiosyncratic Volatility Puzzle by Stambaugh, Yu, and Yuan Xiaoji Lin Ohio State University SFS Cavalcade May 16, 2013 Summary of the paper Arbitrage asymmetry is important to explain the IVol puzzle Summary of the paper Arbitrage asymmetry is important to explain the IVol puzzle Why do we care? Outline 1 Intuition and results 2 Comments Outline 1 Intuition and results Intuition 1 "We term arbitrage asymmetry— the observation that potential short sellers wishing to exploit overpricing face impediments to arbitrage more than do potential purchasers wishing to exploit underpricing." Mispricing measure = average ranks of abnormal returns of 11 anomalies Intuition 2 In this paper, the IVol e¤ect is 1 negative among overpriced stocks 2 but positive among underpriced stocks 3 aggregating yields a negative relation between IVol and returns Intuition 2 In this paper, the IVol e¤ect is 1 negative among overpriced stocks 2 but positive among underpriced stocks 3 aggregating yields a negative relation between IVol and returns Intuition 2 In this paper, the IVol e¤ect is 1 negative among overpriced stocks 2 but positive among underpriced stocks 3 aggregating yields a negative relation between IVol and returns Results Outline 2. Comments Related literature Explanation expected idio skewness coskewness maximum daily return retail trading proportion one-month return reversal illiquidity uncertainty short-sale constraints …nancial distress investor attention growth options average variance beta earnings shocks ... Paper Boyer et al 2010 Chabi-Yo and Yang 2009 Bali et al 2011 Han and Kumar 2012 Fu 2009 and Huang et al 2009 Bali and Cakici 2008 and Han and Lesmond 2011 Johnson 2004 Boehme et al 2009 and George and Hwang 2011 Avramov et al 2012 George and Hwang 2011 Cao et al 2008 and Chen and Petkova 2012 Chen and Petkova 2012 Jiang et al 2009 and Wong 2011 ... Comment 1 The correlation between the mispricing measure and IVol The correlation between the mispricing measure and the major existing candiate variables, e.g., short-term reversal, earnings shocks, etc. Direct evidence for artitrage asymmetry and IVol e.g., analyst coverage, trading volume, etc. Comment 1 The correlation between the mispricing measure and IVol The correlation between the mispricing measure and the major existing candiate variables, e.g., short-term reversal, earnings shocks, etc. Direct evidence for artitrage asymmetry and IVol e.g., analyst coverage, trading volume, etc. Comment 1 The correlation between the mispricing measure and IVol The correlation between the mispricing measure and the major existing candiate variables, e.g., short-term reversal, earnings shocks, etc. Direct evidence for artitrage asymmetry and IVol e.g., analyst coverage, trading volume, etc. Comment 2: power of the test Hou and Loh (2012) 1 Start with Fama and Macbeth (1973) cross-sectional regressions of individual month t stock returns on month t–1 IVOL 2 Decompose the t coe¢ cient into one or more components each related to a candidate variable (e.g., skewness) and a residual component. 3 The ratio of the component related to a particular candidate variable to the original t coe¢ cient measures the fraction of the idiosyncratic volatility puzzle that is captured by that variable Comment 3: mispricing measure Mispricing measure = average ranks of abnormal returns of 11 anomalies An alternative factor model: Hou, Xue, and Zhang (2012) Conclusion Very interesting paper: Arbitrage asymmetry matters for the IVol puzzle Would be nice to see additional robustness check