Telegraph Processes and Option Pricing

The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart...

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Bibliographic Details
Main Authors: Kolesnik, Alexander D., Ratanov, Nikita (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2013, 2013
Edition:1st ed. 2013
Series:SpringerBriefs in Statistics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Telegraph Processes and Option Pricing  |h Elektronische Ressource  |c by Alexander D. Kolesnik, Nikita Ratanov 
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505 0 |a Preface -- 1.Preliminaries -- 2.Telegraph Process on the Line -- 3.Functionals of Telegraph Process -- 4.Asymmetric Jump-Telegraph Processes -- 5.Financial Modelling and Option Pricing -- Index.   
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520 |a The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart of the classical Einstein-Smoluchowski's model of the Brownian motion in which the infinite speed of motion and the infinite intensity of the alternating directions are assumed. The book will be interesting to specialists in the area of diffusion processes with finite speed of propagation and in financial modelling. It will also be useful for students and postgraduates who are taking their first steps in these intriguing and attractive fields