We study a new class of three-factor affine option pricing models with interdependent volatilitydynamics and a stochastic skewness component unrelated to volatility shocks. Theseproperties are useful in order (i) to model a term structure of implied volatility skews moreconsistent with the data...

In a Lucas orchard with heterogeneous beliefs, we study the link between market-wide uncertainty, difference of opinionsand co-movement of stock returns. We show that this link plays an important role in explaining the dynamics of equilibriumvolatility and correlation risk premia. In our...

We develop a discrete-time stochastic volatility option pricing model, which exploits the informationcontained in high-frequency data. The Realized Volatility (RV) is used as a proxy of the unobservablelog-returns volatility. We model its dynamics by a simple but effective long-memory process:...

We model the dynamics of asset prices and associated derivatives by considerationof the dynamics of the conditional probability density process for the value of an assetat some specied time in the future. In the case where the asset is driven by Brownianmotion, an associated \master equation"...

We study the existence of dynamic equilibria with endogenously complete markets incontinuous-time, heterogenous agents economies driven by diusion processes. Ourmain results show that under appropriate conditions on the transition density ofthe state variables, market completeness can be deduced...

In the first three decades of CRSP data, value stocks have higher betas than growth stocks.Later on, the ranking is reversed and the gap in beta widens. What makes growth strategiesnowadays bear more market risk than value strategies? What are the causes of the reversalin the ranking of betas?...

We derive representations for the stock price drift and volatility in theequilibrium of agents with arbitrary, heterogeneous utility functionsand with the aggregate dividend following an arbitrary Markov diffusion.We introduce a new, intrinsic characteristic of the aggregate dividendprocess that...

A simple consumption-based two-period model is used to study the (theoretical)effects of disagreement on asset prices. Analytical and numerical results showthat individual uncertainty has a much larger effect on risk premia than disagreementif (i) the risk aversion is reasonably high and (ii)...

We study how the interaction of agents with different beliefs about a firm’s future cash flows determines the jointbehavior of credit spreads, option implied volatilities, and stock returns. Beliefs heterogeneity influences the pricing kernelin a way that supports more realistic credit spreads...

The main result of the paper is a formula for zero time-to-maturity limit ofimplied volatilities of European options under a broad class of stochastic volatilitymodels. Based on this formula, we propose a closed-form approximation of theimplied volatility smile.[...]