Risk aversion functions extracted from observed stock and option prices can be negative, as shown by Aiuml;t-Sahalia and Lo (2000), Journal of Econometrics 94: 9-51; and Jackwerth (2000), The Review of Financial Studies 13(2), 433-51. We rationalize this puzzle by a lack of conditioning on latent...

In this paper we consider an incomplete market framework and explain how to use jointly observed prices of the underlying asset and some derivatives written on this asset for an efficient pricing of other derivatives. This question involves two types of moment restrictions, which can be written...

We provide a structural approach to disentangle Granger versus instantaneous causality effects from transaction durations to price volatility. So far, in the literature, instantaneous causality effects have either been excluded or cannot be identified separately from Granger type causality...

This article deals with the estimation of the parameters of an a-stable distribution with indirect inference, using the skewed-t distribution as an auxiliary model. The latter distribution appears as a good candidate since it has the same number of parameters as the a-stable distribution, with...

This paper characterizes the equilibrium demand and risk premiums in the presence of skewness risk. We extend the classical mean-variance two-fund separation theorem to a three-fund separation theorem. The additional fund is the skewness portfolio, i.e. a portfolio that gives the optimal hedge...

Risk aversion functions extracted from observed stock and option prices can be negative, as shown by Aït-Sahalia and Lo (2000), Journal of Econometrics 94: 9--51; and Jackwerth (2000), The Review of Financial Studies 13(2), 433--51. We rationalize this puzzle by a lack of conditioning on latent...

This paper prepared for the Handbook of Statistics (Vol.14: "Statistical Methods in Finance"), surveys the subject of stochastic volatility. the following subjects are covered: volatility in financial markets (instantaneous volatility of asset returns, implied volatilities in option prices and...

In this paper, we survey some of the recent nonparapmetric estimation methods which were developed to price derivative contracts. We focus on equity options and staart with a so-called model-free approach which involves very little financial theory. Next we discuss nonparametric and...