Market instability and the size-variance relationship

Abstract We show that some key features of the behavior of mutual funds is accounted for by a stochastic model of proportional growth. We find that the negative dependence of the variance of funds’ growth rates on size is well described by an approximate power law. We discover that during periods of...

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Autores principales: Sergey V. Buldyrev, Andrea Flori, Fabio Pammolli
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/9753a989e1f646a7b0741ea93c1f9c25
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spelling oai:doaj.org-article:9753a989e1f646a7b0741ea93c1f9c252021-12-02T13:34:52ZMarket instability and the size-variance relationship10.1038/s41598-021-84680-12045-2322https://doaj.org/article/9753a989e1f646a7b0741ea93c1f9c252021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-84680-1https://doaj.org/toc/2045-2322Abstract We show that some key features of the behavior of mutual funds is accounted for by a stochastic model of proportional growth. We find that the negative dependence of the variance of funds’ growth rates on size is well described by an approximate power law. We discover that during periods of crisis the volatility of the largest funds’ growth rates increases with respect to mid-sized funds. Our result reveals that a lower and flatter slope provides relevant information on the structure of the system. We find that growth rates volatility poorly depends on the size of the funds, thus questioning the benefits of diversification achieved by larger funds. Our findings show that the slope of the size-variance relationship can be used as a synthetic indicator to monitor the intensity of instabilities and systemic risk in financial markets.Sergey V. BuldyrevAndrea FloriFabio PammolliNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Sergey V. Buldyrev
Andrea Flori
Fabio Pammolli
Market instability and the size-variance relationship
description Abstract We show that some key features of the behavior of mutual funds is accounted for by a stochastic model of proportional growth. We find that the negative dependence of the variance of funds’ growth rates on size is well described by an approximate power law. We discover that during periods of crisis the volatility of the largest funds’ growth rates increases with respect to mid-sized funds. Our result reveals that a lower and flatter slope provides relevant information on the structure of the system. We find that growth rates volatility poorly depends on the size of the funds, thus questioning the benefits of diversification achieved by larger funds. Our findings show that the slope of the size-variance relationship can be used as a synthetic indicator to monitor the intensity of instabilities and systemic risk in financial markets.
format article
author Sergey V. Buldyrev
Andrea Flori
Fabio Pammolli
author_facet Sergey V. Buldyrev
Andrea Flori
Fabio Pammolli
author_sort Sergey V. Buldyrev
title Market instability and the size-variance relationship
title_short Market instability and the size-variance relationship
title_full Market instability and the size-variance relationship
title_fullStr Market instability and the size-variance relationship
title_full_unstemmed Market instability and the size-variance relationship
title_sort market instability and the size-variance relationship
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/9753a989e1f646a7b0741ea93c1f9c25
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AT andreaflori marketinstabilityandthesizevariancerelationship
AT fabiopammolli marketinstabilityandthesizevariancerelationship
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