Average cross-responses in correlated financial market

TL;DR

This paper investigates how stocks in correlated financial markets influence each other over time, revealing different response patterns and their dependence on market sectors and individual stock influences.

Contribution

It introduces a detailed analysis of active and passive average cross-responses, highlighting their distinct temporal behaviors and sector-specific influences in financial markets.

Findings

Passive cross-response has a shorter response period with high volatility.

Active cross-response exhibits a longer response period.

Sign cross-correlation shows long memory when averaged over stock pairs.

Abstract

There are non-vanishing price responses across different stocks in correlated financial markets. We further study this issue by performing different averages, which identify active and passive cross-responses. The two average cross-responses show different characteristic dependences on the time lag. The passive cross-response exhibits a shorter response period with sizeable volatilities, while the corresponding period for the active cross-response is longer. The average cross-responses for a given stock are evaluated either with respect to the whole market or to different sectors. Using the response strength, the influences of individual stocks are identified and discussed. Moreover, the various cross-responses as well as the average cross-responses are compared with the self-responses. In contrast, the short memory of trade sign cross-correlation for stock pairs, the sign cross-correlation has long memory when averaged over different pairs of stocks.