From Discrete to Continuous Time Evolutionary Finance Models
Jan Palczewski and
Klaus Schenk-Hoppé
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Jan Palczewski: University of Leeds and University of Warsaw
No 08-30, Swiss Finance Institute Research Paper Series from Swiss Finance Institute
Abstract:
This paper aims to open a new avenue for research in continuoustime financial market models with endogenous prices and heterogenous investors. The main result is the derivation of the limit of a discretetime evolutionary stock market model as the length of the time period tends to zero. The resulting explicit model in continuous time generalizes the workhorse model of mathematical finance by introducing asset prices that are driven by the market interaction of investors following self-financing trading strategies. Our approach also offers a numerical scheme for the simulation of the continuous-time model.
Keywords: evolutionary finance; market interaction; wealth dynamics; self-financing strategies; endogenous prices. (search for similar items in EconPapers)
JEL-codes: G11 G12 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2008-10
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Related works:
Journal Article: From discrete to continuous time evolutionary finance models (2010) 
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Persistent link: https://EconPapers.repec.org/RePEc:chf:rpseri:rp0830
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