We present a new option-pricing model, which explicitly captures the difference in the persistence of volatility under … historical and risk-neutral probabilities. The model also allows to capture the empirical properties of pricing kernels, such as … time-variation and the typical S-shape. We apply our model for two purposes. First, we analyze the risk preferences of …

between catastrophe risk and the implied volatility smile of insurance stock options. We find that the slope is significantly …, suggesting a higher risk compensation for catastrophic events. We are able to link the insurance-specific tail risk component … derived from options with the risk spread from catastrophe bonds. Our results provide an accurate, high-frequency calculation …

by applying ‘extreme value theory', and then use these measures to investigate the information content of option …-implied tail risk on the future returns of the underlying assets. Our empirical analysis shows that both tail measures implied by S … tail-risk premium …

We consider fundamental questions of arbitrage pricing arising when the uncertainty model incorporates volatility … such sets when volatility uncertainty is modeled by a stochastic differential equation, driven by Peng's G-Brownian motion. …

about the marginal risk-neutral distributions of S&P 500 returns and of relative changes in future expected volatility (VIX … on long-dated index options. We estimate the risk-neutral asymmetric volatility implied correlation and find it to be … significantly lower than its realized counterpart. We interpret the economics of the asymmetric volatility correlation risk premium …

volatility jump diffusion model …

This paper analyzes the joint dynamics of S&P 500 jumps and volatility using option-implied information. Our results … positive price jumps are less likely. We highlight the unique information content in volatility uncertainty and further show … indicate that volatility is not related to the evolution of jumps but the uncertainty about volatility is. More uncertainty …

We derive robust good-deal hedges and valuations under combined model ambiguity about the drift and volatility of asset … for overly attractive reward-to-risk ratios are excluded, by restricting instantaneous Sharpe ratios for any market …-arbitrage bounds. In mathematical terms, it demands however that not just ambiguities about the volatility but also about the drift …

We propose a non-structural method to retrieve the risk-neutral density (RND) impliedby options on the CBOE Volatility … options, we retrieve the variance swap term structure, the timeseries of VVIX, the VIX risk-neutral moments and the Volatility-at-Risk …

multiple volatility factors. We first propose nonparametric estimates of marginal pricing kernels, conditional on the VIX and …. In particular, conditioning on volatility factors, the pricing kernel of market returns exhibit a downward sloping shape … up to the extreme end of the right tail. Moreover, the volatility pricing kernel features a striking U-shape, implying …