Stochastic multiplicative processes for financial markets

Zhi-Feng Huang and Sorin Solomon

Physica A: Statistical Mechanics and its Applications, 2002, vol. 306, issue C, 412-422

Abstract: We study a stochastic multiplicative system composed of finite asynchronous elements to describe the wealth evolution in financial markets. We find that the wealth fluctuations or returns of this system can be described by a walk with correlated step sizes obeying truncated Lévy-like distribution, and the cross-correlation between relative updated wealths is the origin of the nontrivial properties of returns, including the power-law distribution with exponent outside the stable Lévy regime and the long-range persistence of volatility correlations.

Keywords: Multiplicative processes; Power law; Volatility correlations (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (5)

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Related works:
Working Paper: Stochastic Multiplicative Processes for Financial Markets (2001)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:306:y:2002:i:c:p:412-422

DOI: 10.1016/S0378-4371(02)00519-8

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