Cross-correlation asymmetries and causal relationships between stock and market risk

We study historical correlations and lead-lag relationships between individual stock risk (volatility of daily stock returns) and market risk (volatility of daily returns of a market-representative portfolio) in the US stock market. We consider the cross-correlation functions averaged over all stock...

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Veröffentlicht in:PloS one 2014-08, Vol.9 (8), p.e105874-e105874
Hauptverfasser: Borysov, Stanislav S, Balatsky, Alexander V
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Balatsky, Alexander V
description We study historical correlations and lead-lag relationships between individual stock risk (volatility of daily stock returns) and market risk (volatility of daily returns of a market-representative portfolio) in the US stock market. We consider the cross-correlation functions averaged over all stocks, using 71 stock prices from the Standard & Poor's 500 index for 1994-2013. We focus on the behavior of the cross-correlations at the times of financial crises with significant jumps of market volatility. The observed historical dynamics showed that the dependence between the risks was almost linear during the US stock market downturn of 2002 and after the US housing bubble in 2007, remaining at that level until 2013. Moreover, the averaged cross-correlation function often had an asymmetric shape with respect to zero lag in the periods of high correlation. We develop the analysis by the application of the linear response formalism to study underlying causal relations. The calculated response functions suggest the presence of characteristic regimes near financial crashes, when the volatility of an individual stock follows the market volatility and vice versa.
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We consider the cross-correlation functions averaged over all stocks, using 71 stock prices from the Standard &amp; Poor's 500 index for 1994-2013. We focus on the behavior of the cross-correlations at the times of financial crises with significant jumps of market volatility. The observed historical dynamics showed that the dependence between the risks was almost linear during the US stock market downturn of 2002 and after the US housing bubble in 2007, remaining at that level until 2013. Moreover, the averaged cross-correlation function often had an asymmetric shape with respect to zero lag in the periods of high correlation. We develop the analysis by the application of the linear response formalism to study underlying causal relations. 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subjects Causality
Commerce - economics
Commerce - statistics & numerical data
Correlation
Correlation analysis
covariance
Crashes
Critical phenomena
Equity Markets
Europe
finance
Financial-Markets
Fluctuations
Forecasts and trends
Fourier analysis
GENERAL AND MISCELLANEOUS
Graphs
Housing
Humans
Internationality
Investments - economics
Investments - statistics & numerical data
Laboratories
Marketing - economics
Marketing - statistics & numerical data
Markets
Models, Economic
Networks
peak values
petroleum
Physical Sciences
Response functions
Return on investment
Risk
Social Sciences
Standard deviation
statistical distribution
Stock markets
Stocks
Theory
Time series
Trees
Trends
United States
Volatility
title Cross-correlation asymmetries and causal relationships between stock and market risk
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