In financial literature many have been the attempts to overcome the option pricing drawbacks that affect the Black and Scholes model. Starting from the Tsallis deformation of the usual exponential function, this paper presents, in a complete market setup, a class of deformed geometric Brownian motions flexible enough to reproduce fat tails and to capture the volatility behavior observed in models that consider both stochastic volatility and jumps.

Option pricing under deformed Gaussian distributions

S Pasquali;
2016

Abstract

In financial literature many have been the attempts to overcome the option pricing drawbacks that affect the Black and Scholes model. Starting from the Tsallis deformation of the usual exponential function, this paper presents, in a complete market setup, a class of deformed geometric Brownian motions flexible enough to reproduce fat tails and to capture the volatility behavior observed in models that consider both stochastic volatility and jumps.
2016
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Complete markets
Deformed exponential
Derivative pricing
Fat tails
Stochastic volatility
Tsallis exponential
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Descrizione: Option pricing under deformed Gaussian distributions
Tipologia: Versione Editoriale (PDF)
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Formato Adobe PDF
1.65 MB Adobe PDF Visualizza/Apri

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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/312705
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