Options-Implied Variance and Future Stock Returns


Book Description

Using options-implied variance, a forward-looking measure of conditional variance, we revisit the debate on the idiosyncratic risk-return relation. In both cross-sectional (for individual stocks) and time-series (for the market index) regressions, we find a negative relation between options-implied variance and future stock returns. Consistent with Miller's (1977) divergence of opinion hypothesis, the negative relation gets stronger (1) for stocks with more stringent short-sale constraints or (2) when shorting stocks becomes more difficult. Moreover, the negative correlation of realized idiosyncratic variance or analyst forecast dispersion with future stock returns mainly reflects their close correlation with our conditional idiosyncratic variance measure.




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.




Implied Volatility Spreads and Future Options Returns Around Information Events and Conditions


Book Description

While numerous prior studies report that call-put implied volatility spreads positively predict future stock returns, recent literature shows that the predictive relation is negative for future call option returns. We investigate whether and, if so, how the predictive relation for options returns is influenced by various information events and conditions. In addition to confirming an opposite predictive relation for both call and put returns, we show that the predictive relation is stronger during periods of earnings announcement and/or high sentiment. In addition, we find that investors learn from informed trading and revise their predictability bias by examining the impacts of information asymmetry, stock liquidity, and options liquidity on the predictive relationships.




Advanced Option Pricing Models


Book Description

Advanced Option Pricing Models details specific conditions under which current option pricing models fail to provide accurate price estimates and then shows option traders how to construct improved models for better pricing in a wider range of market conditions. Model-building steps cover options pricing under conditional or marginal distributions, using polynomial approximations and “curve fitting,” and compensating for mean reversion. The authors also develop effective prototype models that can be put to immediate use, with real-time examples of the models in action.




The Relationship Between the Option-Implied Volatility Smile, Stock Returns and Heterogeneous Beliefs


Book Description

We study the relationship between stock returns and the implied volatility smile slope of call and put options. Stocks with a steeper put slope earn lower future returns, while stocks with a steeper call slope earn higher future returns. Using dispersion of opinion as a proxy for belief differences, we find that the slope-stock return relation is strongest for stocks with high belief differences. The idiosyncratic component of the put slope fully explains the negative risk-adjusted stock returns. For the call slope, the idiosyncratic component dominates the systematic one, and explains the positive risk-adjusted returns.




The Information Content in Implied Idiosyncratic Volatility and the Cross-Section of Stock Returns


Book Description

Current literature is inconclusive as to whether idiosyncratic risk influences future stock returns and the direction of the impact. Prior studies are based on historical realized volatility. Implied volatilities from option prices represent the market's assessment of future risk and are likely a superior measure to historical realized volatility. We use implied idiosyncratic volatilities on firms with traded options to examine the relation between idiosyncratic volatility and future returns. We find a strong positive link between implied idiosyncratic risk and future returns. After considering the impact of implied idiosyncratic volatility, historical realized idiosyncratic volatility is unimportant. This performance is strongly tied to small size and high book-to-market equity firms.




The Information Content of Option Prices Regarding Future Stock Return Serial Correlation


Book Description

I investigate the relation between option prices and daily stock return serial correlation. I demonstrate that the variance ratio, calculated as the ratio of realized to implied stock return variance, has both a contemporaneous and predictive relation with stock return serial correlation. The ability of the variance ratio to predict future stock return serial correlation gives rise to a daily trading strategy that implements reversal trading on stocks predicted to exhibit large negative serial correlation and momentum trading on stocks with high predicted serial correlation. The trading strategy generates risk-adjusted returns in excess of 6.5% per year.




Call-Put Implied Volatility Spreads and Option Returns


Book Description

Prior literature shows that the implied volatility spread between call and put options is a bullish signal for future returns on the underlying stocks. A common interpretation is that a high call-put implied volatility spread indicates favorable private information revealed by informed option investors. However, this paper finds that a high call-put implied volatility spread is a strong bearish signal for future returns on out-of-the-money call options. Using unique data on daily option volumes, we reconcile the two pieces of seemingly contradicting evidence by showing that demand for options by sophisticated, firm investors drives the positive relationship between volatility spreads and future stock returns, while demand for options by less sophisticated, customer investors drives the negative relationship between volatility spreads and future call option returns. Taken together, our evidence suggests that call-put implied volatility spreads contain information about firm fundamentals as well as option mispricing.




Competition for Listings


Book Description




Implied Volatility Functions


Book Description

Abstract: Black and Scholes (1973) implied volatilities tend to be systematically related to the option's exercise price and time to expiration. Derman and Kani (1994), Dupire (1994), and Rubinstein (1994) attribute this behavior to the fact that the Black-Scholes constant volatility assumption is violated in practice. These authors hypothesize that the volatility of the underlying asset's return is a deterministic function of the asset price and time and develop the deterministic volatility function (DVF) option valuation model, which has the potential of fitting the observed cross-section of option prices exactly. Using a sample of S & P 500 index options during the period June 1988 through December 1993, we evaluate the economic significance of the implied deterministic volatility function by examining the predictive and hedging performance of the DV option valuation model. We find that its performance is worse than that of an ad hoc Black-Scholes model with variable implied volatilities.