Asymmetric Risk Loadings in the Cross Section of Stock Returns


Book Description

Time-varying factor loadings exhibit pronounced asymmetry in the cross section of stock returns. To capture this asymmetry, we develop regime-switching versions of the CAPM and the Fama French three-factor model, allowing both factor loadings and predictable risk premiums to switch across regimes. We estimate the models jointly on the decile book-to-market portfolios, together with the market portfolio to investigate the role of asymmetric risk in the book-to-market premium. We find that betas of value stocks increase significantly during bear market episodes. However, we still reject that the book-to-market premium is equal to zero for both the regime-switching conditional CAPM and the Fama-French model, even in the presence of regimes.




The Bulls and Bears in the Cross-Section of Stock Returns


Book Description

Many financial decision-makers seem to regard risk as the variability of returns below some pre-specified target and treat above-target variability as a sweetener. The disutility from losses also appears to be larger than the utility from gains. Using some simple metrics of downside bearishness and upside bullishness constructed from semivariances, this paper tests for the empirical content of this asymmetry. Some of these simple metrics are priced in the U.S. stock market. In particular, exploring a composite metric of asymmetric risk reveals that non-linearity in the covariation of stock returns with bullish and bearish states of the market carries a significant price. Also, market premium for bearishness is larger in magnitude than that for bullishness, lending support to the existence of loss aversion in the aggregate. While small-cap stocks tend to be more bearish than bullish, the asymmetric risk effect is not spuriously driven by the size effect. Finally, some results consistent with an aymmetric-risk-based explanation for the puzzles of return momentum and reversal are presented.




Option-Implied Variance Asymmetry and the Cross-Section of Stock Returns


Book Description

We find a positive relationship between individual stocks' implied variance asymmetry, defined as the difference between upside and downside risk-neutral semivariances extracted from out-of-money options, and future stock returns. The high-minus-low hedge portfolio earns the excess return of 0.90% (0.67%) per month in equal-weighted (value-weighted) returns. We show that implied variance asymmetry provides a neat measure of risk-neutral skewness and outperforms the standard risk-neutral skewness in predicting the cross-section of future stock returns. Risk-based equilibrium asset pricing models can not explain such a positive relationship, which instead can be potentially explained by information asymmetry and informed trading.




Priced Risk and Asymmetric Volatility in the Cross-Section of Skewness


Book Description

We investigate the sources of skewness in aggregate risk-factors and the cross-section of stock returns. In an ICAPM setting with conditional volatility, we find theoretical time series predictions on the relationships among volatility, returns, and skewness for priced risk factors. Market returns resemble these predictions; however, size, book-to-market, and momentum factor returns show alternative behavior, leading us to conclude these factors are not priced risks. We link aggregate risk and skewness to individual stocks and find empirically that the risk aversion effect manifests in individual stock skewness. Additionally, we find several firm characteristics that explain stock skewness. Smaller firms, value firms, highly levered firms, and firms with poor credit ratings have more positive skewness.




Irrational Exuberance Reconsidered


Book Description

Mathias Külpmann presents a framework to evaluate whether the stock market is in line with underlying fundamentals. The new and revised edition offers an up to date introduction to the controversy between rational asset pricing and behavioural finance. Empirical evidence of stock market overreaction are investigated within the paradigms of rational asset pricing and behavioural finance. Although this monograph will not promise the reader to become a millionaire, it offers a road to obtain a deeper understanding of the forces which drive stock returns. It should be of interest to anyone interested in what drives performance in the stock market.







Caught Up in the (Higher) Moments


Book Description

ABSTRACT: This dissertation examines if information extracted from the options markets is priced in the cross-section of equity returns and whether or not this information is a systematic risk factor. Several versions of the Intertemporal Capital Asset Pricing Model predict that changes in aggregate volatility are priced into the cross-section of stock returns. Literature confirms that changes in expected future market volatility are priced into the cross-section of stock returns. Several of these studies use the VIX Index as proxy for future market volatility, and suggest that it is a risk factor. However, prior studies do not test whether asymmetric volatility affects if firm sensitivity to changes in VIX is related to risk, or is just a characteristic uniformly affecting all firms. The first chapter of my dissertation examines the asymmetric relation of stock returns and changes in VIX. The study finds that sensitivity to VIX innovations affects returns when volatility is rising, but not when it is falling. When VIX rises this sensitivity is a priced risk factor, but when it falls there is a positive impact on all stocks irrespective of VIX loadings. The second essay of my dissertation uses the second, third, and fourth moments of the risk-neutral density extracted from options on the S & P 500 as the proxy for changes in the expected future market return distribution rather than just the VIX index. The VIX index, while easily obtained, contains limited information due to its construction. The risk-neutral moments map one-to-one to the real-world volatility smile from market options, and contain all the information in the cross-section of market option moneyness and provide a richer proxy for changes in expected future market return distribution. The analyses find that positive change in risk-neutral skewness is a risk-factor and that change in risk-neutral kurtosis is not. The evidence for change in risk-neutral volatility being a risk factor, however, is ambiguous.




Asymmetric Returns and Semidimensional Risks


Book Description

Most theoretical models in finance measure risk as variance or covariance. However, many financial decision-makers seem to regard risk as the volatility of below-target returns and treat the volatility of above-target returns as a sweetener. Using simple metrics of downside risk and upside potential, constructed from conditional covariances, I test for the empirical content of this asymmetry. I introduce a new composite metric of semidimensional risks which reveals that the nonlinearity in the covariation of stock returns with bearish and bullish conditions of the market is priced in the cross-section of stock returns. In particular, I find that stocks that have concave characteristic regression lines against the market earn higher average returns than stocks that have convex characteristic regression lines. This new metric captures the relevant information in returns asymmetry or nonlinearity better than either coskewness or the square-coefficient from quadratic regression. I also present results that are consistent with a semidimensional risk-based explanation for the twin puzzles of return momentum and reversal. The primitive representation of the security pricing kernel as the negative of covariance between marginal utility of consumption and security returns lends theoretical support for semidimensional risks and provides a unifying perspective for seemingly disparate literature on semivariances, skewness and behavioral finance.







Nonparametric Econometrics


Book Description

A comprehensive, up-to-date textbook on nonparametric methods for students and researchers Until now, students and researchers in nonparametric and semiparametric statistics and econometrics have had to turn to the latest journal articles to keep pace with these emerging methods of economic analysis. Nonparametric Econometrics fills a major gap by gathering together the most up-to-date theory and techniques and presenting them in a remarkably straightforward and accessible format. The empirical tests, data, and exercises included in this textbook help make it the ideal introduction for graduate students and an indispensable resource for researchers. Nonparametric and semiparametric methods have attracted a great deal of attention from statisticians in recent decades. While the majority of existing books on the subject operate from the presumption that the underlying data is strictly continuous in nature, more often than not social scientists deal with categorical data—nominal and ordinal—in applied settings. The conventional nonparametric approach to dealing with the presence of discrete variables is acknowledged to be unsatisfactory. This book is tailored to the needs of applied econometricians and social scientists. Qi Li and Jeffrey Racine emphasize nonparametric techniques suited to the rich array of data types—continuous, nominal, and ordinal—within one coherent framework. They also emphasize the properties of nonparametric estimators in the presence of potentially irrelevant variables. Nonparametric Econometrics covers all the material necessary to understand and apply nonparametric methods for real-world problems.