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Synchronization model for stock market asymmetry

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Raul Donangelo1, Mogens H Jensen2, Ingve Simonsen3,4 and Kim Sneppen2

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LETTER

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up–down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this, we introduce a market model consisting of randomly fluctuating stocks that occasionally synchronize their short term draw-downs. These synchronous events are parametrized by a 'fear factor', that reflects the occurrence of dramatic external events which affect the financial market.


Keywords

stochastic processes

models of financial markets

PACS

89.65.Gh Economics; econophysics, financial markets, business and management

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

05.45.Xt Synchronization; coupled oscillators

MSC

60J65 Brownian motion (See also 58J65)

91B28 Finance, portfolios, investment

Subjects

Statistical physics and nonlinear systems

Dates

Issue 11 (November 2006)

Received 31 August 2006, accepted for publication 2 November 2006

Published 27 November 2006



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