We investigate the effect of including variance derivatives as calibration and hedging instruments for pricing and hedging exotic structures. This is studied empirically using market data for SPX and VIX derivatives applied in a stochastic volatility jump diffusion model

Asymmetric volatility concerns the relation of returns to future expected volatility. Much is known from option prices about the marginal risk-neutral distributions of S&P 500 returns and of relative changes in future expected volatility (VIX). While the bivariate risk-neutral distribution...

Risk premia are related to price probability ratios or for continuous time pure jump processes the ratios of jump arrival rates under the pricing and physical measures. The variance gamma model is employed to synthesize densities with risk premia seen as the ratio of the three parameters. The...

We investigate the effects of return jumps on option bid-ask spreads measured in implied volatility. To explain bid-ask spread quoting behavior, we construct a general model with market makers trading in an incomplete market in which a Bernoulli-type jump could occur. Following a numerical...

We propose a parsimonious general equilibrium extension of the Black-Scholes economy that helps clarify how options' prices, expected returns, risk exposure, and optimal exercise policies respond to variations in the risk exposure of the underlying asset. The model allows one to separate the...

This paper presents a new robust predictor for option returns: the uncertainty of put-call parity violation (VVS). We find that the delta-hedged equity option return decreases monotonically with VVS. Although VVS is highly correlated with the classical uncertainty and limit-to-arbitrage...

Option prices, particularly those of out-of-the-money equity index puts, are difficult to justify in a no-arbitrage framework. This paper shows how limits to arbitrage affect the relative pricing of out-of-the-money put vs. call options (option-implied skewness). Decomposing the price of...

We propose a new measure of financial intermediary constraints based on how the intermediaries manage their tail risk exposures. Using a unique dataset for the trading activities in the market of deep out-of-the-money S&P 500 put options, we identify periods when the variations in the net amount...

This paper documents the fact that in options markets, the (percentage) implied volatility bid-ask spread increases at an increasing rate as the option's maturity date approaches. To explain this stylized fact, this paper provides a market microstructure model for the bid-ask spread in options...

We develop a new option pricing framework that tightly integrates with how institutional investors manage options positions. The framework starts with the near-term dynamics of the implied volatility surface and derives no-arbitrage constraints on its current shape. Within this framework, we...