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Application of generalized hyperbolic Lévy motions to finance. (English) Zbl 0982.60045
Barndorff-Nielsen, Ole E. (ed.) et al., Lévy processes. Theory and applications. Boston: Birkhäuser. 319-336 (2001).
In the classical model of financial market developed by Black, Scholes, and Merton, geometric Brownian motion plays the dominating role. However, it was observed by many authors that consequences of the theory deviate from empirical facts. The goal of the paper is to show that generalized hyperbolic Lévy motions are better fit to financial data. In this connection the following themes are discussed: asset price modeling, interest rate theory, multivariate and intraday modeling.
60G51Processes with independent increments; Lévy processes
91B28Finance etc. (MSC2000)