In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a downward sloping term structure of low-frequency variance...

Under very general conditions, the total quadratic variation of a jump-diffusion process can be decomposed into diffusive volatility and squared jump variation. We use this result to develop a new option valuation model in which the underlying asset price exhibits volatility and jump intensity...

The illiquidity of long-maturity options has made it difficult to study the term structures of option spanning portfolios. This paper proposes a new estimation and inference framework for these option-implied term structures that addresses long-maturity illiquidity. By building a sieve estimator...

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for equity index options, despite minimal changes in aggregate consumption. We explain these events within a general equilibrium framework in which expected endowment growth and economic...

We extend and generalize some results on bounding security prices under several stochastic volatility models that provide closed-form expressions for option prices. In detail, we have computed analytical expressions for benchmark and standard good-deal bounds. For all the models, our findings...

In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...

We model the S&P500 index options dynamics using the CGMY distribution, with independent "up" and "down" return jumps, and diffusive jump intensities. Allowing the up and down parts to be separately parameterised accounts for the dynamic smirk effect, without correlation between returns and...

This paper studies the relation between the uncertainty of volatility, measured as the volatility of volatility, and future delta-hedged equity option returns. We find that delta-hedged option returns consistently decrease in uncertainty of volatility. Our results hold for different measures of...

We propose a consistent and computationally efficient 2-step methodology for the estimation of multidimensional non-Gaussian asset models built using Lévy processes. The proposed framework allows for dependence between assets and different tail-behaviors and jump structures for each asset. Our...

I compare the quadratic kernel used by Christoffersen, Heston and Jacobs (2013) with the commonly used Rubinstein's (1976) power pricing kernel in terms of option valuation performance. I do so in both affine and nonaffine GARCH(1,1) models. I find that, in both cases, the quadratic kernel...