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Dynamic instability in a phenomenological model of correlated assets

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Raffaelli, G. (Giacomo) and Marsili, Matteo, 1966- (2006) Dynamic instability in a phenomenological model of correlated assets. Working Paper. Warwick Business School, Financial Econometrics Research Centre, Coventry.

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Abstract

We show that financial correlations exhibit a non-trivial dynamic behavior. We introduce a simple phenomenological model of a multi-asset financial market, which takes into account the impact of portfolio investment on price dynamics. This captures the fact that correlations determine the optimal portfolio but are affected by investment based on it. We show that such a feedback on correlations gives rise to an instability when the volume of investment exceeds a critical value. Close to the critical point the model exhibits dynamical correlations very similar to those observed in real markets. Maximum likelihood estimates of the model’s parameter for empirical data indeed confirm this conclusion, thus suggesting that real markets operate close to a dynamically unstable point.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HG Finance
Divisions: Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Phenomenalism, Capitalism, Portfolio management, Assets (Accounting)
Series Name: Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher: Warwick Business School, Financial Econometrics Research Centre
Place of Publication: Coventry
Date: 21 April 2006
Number: No.06-
Number of Pages: 11
Status: Not Peer Reviewed
Access rights to Published version: Open Access
URI: http://wrap.warwick.ac.uk/id/eprint/1751

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