Jump risk,stock returns,and slope of implied volatility smile

In the presence of jump risk, expected stock return is a function of the average jump size, which can be proxied by the slope of option implied volatility smile. This implies a negative predictive relation between the slope of implied volatility smile and stock return. For more than four thousand stocks ranked by slope during 1996–2005, the difference between the risk-adjusted average returns of the lowest and highest quintile portfolios is 1.9% per month. Although both the systematic and idiosyncratic components of slope are priced, the idiosyncratic component dominates the systematic component in explaining the return predictability of slope. The findings are robust after controlling for stock characteristics such as size, book-to-market, leverage, volatility, skewness, and volume. Furthermore, the results cannot be explained by alternative measures of steepness of implied volatility smile in previous studies.     

The pricing of idiosyncratic risk: evidence from the implied volatility distribution

A recent strand in the literature has investigated the relationship between idiosyncratic risk and future stock returns. Although several authors have found significant predictive power of idiosyncratic volatility, the magnitude and direction of the dependence is still being debated. Using a sample of all S&P 100 constituents, we identify positive risk premia for option-implied idiosyncratic risk. Depending on the model used to identify unsystematic risk, we observe a statistically and economically significant average annual premium of 1.72 percent. To investigate whether this impact is driven by the definition of idiosyncratic risk, we extend the pricing kernel by implied skewness. Using a double-sorting procedure, we show that the compensation of unsystematic risk is mainly driven by firms with high positive implied skewness.     

市场摩擦对特质风险溢价的影响效应——基于A股主板市场的实证分析

与国外发达市场相比,我国A股主板市场的市场摩擦因素对市场微观结构和资产定价的影响更大。在防范和化解系统性风险的过程中,进一步分析市场摩擦如何作用于特质风险定价效应的问题具有重要的理论和现实意义。本文通过采用多维市场摩擦指标来代理信息不对称、交易成本、买卖限制、卖空限制、风险对冲和外部冲击,检验中国股市特质风险和预期收益率的关系,并判断出市场摩擦因素间的差异性影响机制。回归发现,市场摩擦和特质风险因子(特质波动率和特质偏度)都具有定价效应。各维度市场摩擦因素降低了股票流动性,进而增强了特质波动率的负向定价效应,部分解释了“特质波动率之谜”,但市场摩擦对特质偏度因子溢价的影响较为微弱。同时,基于特质波动率和特质偏度因子的投资策略能够产生超越CAPM、三因子和五因子模型的绝对收益,并印证了市场摩擦对特质风险因子绝对收益的影响作用。     

Risk and CEO turnover

This paper investigates how performance risk impacts a board's ability to learn about the unknown talent of a chief executive officer (CEO). We theorize that the information content of performance is increasing in idiosyncratic risk and decreasing in systematic risk. We provide robust empirical evidence that the likelihood of CEO turnover is increasing in idiosyncratic risk and decreasing in systematic risk and that turnover-performance-sensitivity is also increasing in idiosyncratic risk and decreasing in systematic risk. We further investigate relations between the threat of termination and CEO compensation, showing that for retained CEOs, both subsequent pay-performance-sensitivity and pay levels decrease in the probability of turnover.     

Corporate insider trading and return skewness

Corporate insider trades predict idiosyncratic return skewness. CEO purchases are followed by an increase and CEO sales by a decrease in idiosyncratic skewness. The evidence suggests that this effect is driven by personal preferences rather than behavioral biases such as overconfidence. Our findings are consistent with the interpretation that CEOs, who are generally considered to be underdiversified, optimize their holdings by taking their preference for positive return skewness into account. We observe particularly robust results for CEO sales, which substantiates the less common notion that insider sales can be informative for investors.     

Is idiosyncratic asymmetry priced in commodity futures?

In this article, we use a recently introduced asymmetry measure, IE, to measure the idiosyncratic asymmetry of commodity futures returns and find that idiosyncratic asymmetry negatively and significantly predicts commodity futures returns cross sectionally. Furthermore, we find that a long–short trading strategy based on idiosyncratic asymmetry generates significant abnormal returns, which cannot be explained by traditional risk factors in commodity futures and persists up to 12 months. Moreover, idiosyncratic asymmetry appears to be a priced factor in commodity futures with significant risk premium. Finally, we confirm that IE is better at capturing the pricing effect of idiosyncratic asymmetry than the traditional skewness measure.     

European bank equity risk: 1995–2006

We examine changes in bank equity risk following the formation of the Economic Monetary Union (EMU) in 1999. With the exception of Germany, we observe a decline in bank risk across euro-zone countries. Total risk decreased for 70% of the euro-zone banks in our sample with a statistically significant decrease in total risk observed for 51% of the sample. Similar results are found for idiosyncratic risk and systematic risk. These results are robust to financial crisis effects and test specification. Moreover, we find some evidence of a decrease in bank equity risk for a sample of neighbouring non-euro-zone European countries, consistent with the existence of some spill over effects.     

Idiosyncratic Risk and REIT Returns

The volatility of a stock returns can be decomposed into market and firm-specific volatility, with the former commonly known as systematic risk and the later as idiosyncratic risk. This study examines the relevance of idiosyncratic risk in explaining the monthly cross-sectional returns of REIT stocks. Contrary to the CAPM theory, a significant positive relationship is found between idiosyncratic volatility and the cross-sectional returns. This suggests that firm-specific risk matters in REIT pricing. The regression results further show that once idiosyncratic risk is controlled for in the asset-pricing model, the size and book-to-market equity ratio factors ceased to be significant. The explanatory power of the momentum effect remains robust in the presence of idiosyncratic risk.

Cross-sectional dispersion and expected returns

This study investigates whether the cross-sectional dispersion of stock returns, which reflects the aggregate level of idiosyncratic risk in the market, represents a priced state variable. We find that stocks with high sensitivities to dispersion offer low expected returns. Furthermore, a zero-cost spread portfolio that is long (short) in stocks with low (high) dispersion betas produces a statistically and economically significant return. Dispersion is associated with a significantly negative risk premium in the cross section (–1.32% per annum) which is distinct from premia commanded by alternative systematic factors. These results are robust to stock characteristics and market conditions.     

Can Asset Pricing Models Price Idiosyncratic Risk in U.K. Stock Returns?

I examine how well different linear factor models and consumption‐based asset pricing models price idiosyncratic risk in U.K. stock returns. Correctly pricing idiosyncratic risk is a significant challenge for many of the models I consider. For some consumption‐based models, there is a clear tradeoff in the performance of the models between correctly pricing systematic risk and idiosyncratic risk. Linear factor models do a better job in most cases in pricing systematic risk than consumption‐based models but the reverse is true for idiosyncratic risk.     

Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options

This article provides several new insights into the economicsources of skewness. First, we document the differential pricingof individual equity options versus the market index and relateit to variations in return skewness. Second, we show how riskaversion introduces skewness in the risk-neutral density. Third,we derive laws that decompose individual return skewness intoa systematic component and an idiosyncratic component. Empiricalanalysis of OEX options and 30 stocks demonstrates that individualrisk-neutral distributions differ from that of the market indexby being far less negatively skewed. This article explains thepresence and evolution of risk-neutral skewness over time andin the cross section of individual stocks.     

Stock Options as Lotteries

We investigate the relationship between ex ante total skewness and holding returns on individual equity options. Recent theoretical developments predict a negative relationship between total skewness and average returns, in contrast to the traditional view that only coskewness is priced. We find, consistent with recent theory, that total skewness exhibits a strong negative relationship with average option returns. Differences in average returns for option portfolios sorted on ex ante skewness range from 10% to 50% per week, even after controlling for risk. Our findings suggest that these large premiums compensate intermediaries for bearing unhedgeable risk when accommodating investor demand for lottery‐like options.     

Conditional Skewness in Asset Pricing Tests

If asset returns have systematic skewness, expected returns should include rewards for accepting this risk. We formalize this intuition with an asset pricing model that incorporates conditional skewness. Our results show that conditional skewness helps explain the cross-sectional variation of expected returns across assets and is significant even when factors based on size and book-to-market are included. Systematic skewness is economically important and commands a risk premium, on average, of 3.60 percent per year. Our results suggest that the momentum effect is related to systematic skewness. The low expected return momentum portfolios have higher skewness than high expected return portfolios.     

Time-varying idiosyncratic risk and aggregate consumption dynamics

Long-term earnings losses for displaced workers are large and counter-cyclical. Similarly, the skewness of earnings growth rates is strongly pro-cyclical. This paper presents an incomplete markets business cycle model in which idiosyncratic risk varies over time in accordance with these empirical findings. These dynamics of idiosyncratic risk give rise to a cyclical precautionary savings motive that substantially raises the volatility of aggregate consumption growth. According to the model, idiosyncratic risk spiked during the Great Recession, leading to a substantial decline in aggregate consumption.     

Securitization and Banks’ Equity Risk

This research explores the effects of securitization on the market’s perception of banks’ risk exposure between 2002 and 2007. Our results show that, contrary to some prior evidence in the literature, securitizing banks actually had lower systematic betas until 2007. We find no evidence of increasing idiosyncratic risk with securitization. We identify significant structural break in 2007, when securitizing banks experienced jumps in both systematic and idiosyncratic risks. Finally, we confirm the general belief that larger banks tend to have higher systematic risk and lower idiosyncratic risk because of diversification.     

World market risk,country-specific risk and expected returns in international stock markets

This paper determines whether the world market risk, country-specific total risk, and country-specific idiosyncratic risk are priced in an international capital asset pricing model (ICAPM). Portfolio-level analyses, country-level cross-sectional regressions, stacked time-series, and pooled panel regressions indicate that the world market risk is not, but country-specific total and idiosyncratic risks are significantly priced in an ICAPM framework with partial integration. This result is robust to different methods for estimating risk measures, different investment horizons, and after controlling for the countries’ aggregate dividend yield, earnings-to-price ratios, inflation risk, exchange rate uncertainties, aggregate volatility risk, and past return characteristics. The main findings turn out to be insensitive to the choice of one-factor vs. multifactor models used to estimate systematic and idiosyncratic risk measures.     

Do idiosyncratic jumps matter?

We show that idiosyncratic jumps are a key determinant of mean stock returns from both an ex post and ex ante perspective. Ex post, the entire annual average return of a typical stock accrues on the four days on which its price jumps. Ex ante, idiosyncratic jump risk earns a premium: a value-weighted weekly long-short portfolio that buys (sells) stocks with high (low) predicted jump probabilities earns annualized mean returns of 9.4% and four-factor alphas of 8.1%. This strategy’s returns are larger when there are greater limits to arbitrage. These results are consistent with investor aversion to idiosyncratic jump risk.     

Granular institutional investors and global market interdependence

We study the propagation of global investment risk across markets through the granular view of institutional investors. Applying the conditional value-at-risk estimation to micro-level weekly observations of international mutual funds between 2003 and 2011, we find that idiosyncratic shocks to large institutional investors explain both aggregate market risk and cross-market risk interdependence. Conditional on the US capital markets being in financial distress, idiosyncratic shocks to the top 10% largest funds investing in the US explain about 40% of the risk fluctuations in other non-US markets. The findings are also economically and statistically significant for the top largest funds investing in non-US markets, with the effects becoming especially large during the global financial crisis of 2007–09. These results are robust after controlling for common risk factors and applying alternative measures of idiosyncratic shocks.     

Idiosyncratic skewness and cross-section of stock returns: Evidence from Taiwan

In this study, we examine whether idiosyncratic skewness (IS) affects the returns of the Taiwan stock market. We find that speculative retail investors prefer positive skewness in stocks that leads them to overprice these stocks. As a result, the IS, that reflects gambling, has a negative relation with future returns. Gambling preferences vary with time, mainly occur during recessions and down markets. Moreover, the negative IS-return relation exists only among firms with prior capital gains. We use a difference-in-difference (DID) framework to mitigate the endogeneity concern and find that this IS effect is more significant among stocks with lower arbitrage limits. The IS effect remains significant even after controlling for the IS risk factor. Overall, the IS effect cannot be explained by either arbitrage limits or risk exposure.     

Maxing out: Stocks as lotteries and the cross-section of expected returns

Motivated by existing evidence of a preference among investors for assets with lottery-like payoffs and that many investors are poorly diversified, we investigate the significance of extreme positive returns in the cross-sectional pricing of stocks. Portfolio-level analyses and firm-level cross-sectional regressions indicate a negative and significant relation between the maximum daily return over the past one month (MAX) and expected stock returns. Average raw and risk-adjusted return differences between stocks in the lowest and highest MAX deciles exceed 1% per month. These results are robust to controls for size, book-to-market, momentum, short-term reversals, liquidity, and skewness. Of particular interest, including MAX reverses the puzzling negative relation between returns and idiosyncratic volatility recently shown in 2 and 3.