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Evolution process as an alternative to diffusion process and Black–Scholes Formula

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Relation http://eprints.zu.edu.ua/13245/
http://www.degruyter.com/view/j/rose.2009.17.issue-1/rose.2009.004/rose.2009.004.xml
 
Title Evolution process as an alternative to diffusion process and Black–Scholes Formula
 
Creator Pogoruі, А. А.
Rodríguez-Dagnіno, Ramón М.
 
Subject Mathematical Analysis
 
Description In this paper, we study the one-dimensional transport process in the case of disbalance. In the hydrodynamic limit, this process approximates the diffusion process on a line. By using this property, we propose to apply transport processes instead of diffusion processes in some economical models, particularly in Black–Scholes formula. This application manages to avoid some drawbacks of diffusion processes.
 
Date 2009-01
 
Type Article
PeerReviewed
 
Format text
 
Language uk
english
 
Identifier http://eprints.zu.edu.ua/13245/1/ROSE-BlackScholesOldLast.pdf
Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. (2009) Evolution process as an alternative to diffusion process and Black–Scholes Formula. Random Operators and Stochastic Equations (17(1)). pp. 61-68. ISSN 0926-6364