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Empirical pricing kernel estimation using a functional gradient descent algorithm based on splines

Francesco Audrino and Pirmin Meier ()

No 1210, Economics Working Paper Series from University of St. Gallen, School of Economics and Political Science

Abstract: We propose a new methodology to estimate the empirical pricing kernel implied from option data. In contrast to most of the studies in the literature that use an indirect approach, i.e. first estimating the physical and risk-neutral densities and obtaining the pricing kernel in a second step, we follow a direct approach. Departing from an adequate parametric and economically motivated pricing kernel, we apply a functional gradient descent (FGD) algorithm based on B-splines. This approach allows us to locally modify the initial pricing kernel and hence to improve the final estimate. We empirically illustrate the estimation properties of the method and test its predictive power on S&P 500 option data, comparing it as well with other recent approaches introduced in the empirical pricing kernel literature.

Keywords: Empirical pricing kernel; function gradient descent; B-splines; option pricing (search for similar items in EconPapers)
JEL-codes: C13 C14 C51 C53 C58 C63 (search for similar items in EconPapers)
Pages: 40 pages
Date: 2012-04
New Economics Papers: this item is included in nep-ecm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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