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Option Pricing with Aggregation of Physical Models and Nonparametric Statistical Learning

When 2.00pm on Friday 1st December
Where B617, Leverhulme Library, Columbia House
Presentations  
Speaker Loriano Mancini
From Swiss Banking Institute, University of Zurich
Abstract Financial models are largely used in option pricing. These physical models capture salient features of asset price dynamics, such as leverage effects. Their pricing performance can be significantly enhanced when they are combined with nonparametric learning approaches, that empirically learn and correct pricing errors through estimating state price densities. In this paper, we propose a new semiparametric technique for estimating state price densities and pricing financial derivatives. This method is based on a physical model guided nonparametric approach to estimate the state price distribution of a normalized state variable, called the Automatic Correction of Errors (ACE) in pricing formulae. Our method is easy to implement and can be combined with any model based pricing formula to correct the systematic biases of pricing errors and enhance the predictive power. Empirical studies based on S&P 500 index options show that our method outperforms several competing pricing models in terms of predictive and hedging abilities. This is a joint work with Jianqing Fan.
For further information Thomas Hewlett (Postgraduate Administrator) Ext. 6879
Department of Statistics, Columbia House
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