Title: Pricing individual stock options using both stock and market index information
Authors: Lars Stentoft - University of Western Ontario (Canada) [presenting]
Jeroen Rombouts - ESSEC Business School (France)
Francesco Violante - ENSAE ParisTech (France)
Abstract: When it comes to individual stock option pricing, most, if not all, applications consider a univariate framework in which the dynamics of the underlying asset is considered without taking the evolution of the market or any other risk factors into consideration. From a theoretical point of view this is clearly unsatisfactory as we know, i.e. from the Capital Asset Pricing Model, that the expected return of any asset is closely related to the exposure to the market risk factors. On top of this theoretical inconsistency in empirical applications it is often difficult to precisely asses and appropriately measure risk premia from individual stock returns alone. We model the evolution of the individual stock returns together with market index in a bivariate model that allows us to estimate risk premia in line with the theory. We assess the performance of the model to price individual stock options on the constituent stocks in the Dow Jones Industrial Average.