Some Divergence Properties of Asset Price Models

Clicks: 152
ID: 30662
2001
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Abstract
Abstract: We consider asset price processes Xt which are weak solutions of one-dimensional stochastic differential equations of the form (equation (2)) Such price models can be interpreted as non-lognormally-distributed generalizations of the geometric Brownian motion. We study properties of the Iα-divergence between the law of the solution Xt and the corresponding drift-less measure (the special case α=1 is the relative entropy). This will be applied to some context in statistical information theory as well as to arbitrage theory and contingent claim valuation. For instance, the seminal option pricing theorems of Black-Scholes and Merton appear as a special case.
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stummer2001someentropy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Stummer, Wolfgang;
Journal entropy
Year 2001
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