A way to make financial models effective is by letting them to represent the so called `fat tails', i.e. extreme changes in stock prices that are regarded as almost impossible by the standard Gaussian distribution. In this article, the Kaniadakis deformation of the usual exponential function is used to define a random noise source in the dynamics of price processes capable of capturing such real market phenomena.

A non-Gaussian option pricing model based on Kaniadakis exponential deformation

MORETTO, ENRICO;
2017-01-01

Abstract

A way to make financial models effective is by letting them to represent the so called `fat tails', i.e. extreme changes in stock prices that are regarded as almost impossible by the standard Gaussian distribution. In this article, the Kaniadakis deformation of the usual exponential function is used to define a random noise source in the dynamics of price processes capable of capturing such real market phenomena.
2017
https://link.springer.com/article/10.1140/epjb/e2017-80112-x
Nonlinear Fokker-Planck Eq.; Fat tails; Stochastic Volatility
Moretto, Enrico; Pasquali, Sara; Trivellato, Barbara
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2065514
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