Efficient construction of threshold networks of stock markets
Xin-Jian Xu, Kuo Wang, Liucun Zhu, Li-Jie Zhang

TL;DR
This paper introduces a method to determine the optimal threshold for constructing stock market networks by maximizing dynamic consistency, successfully identifying key financial crises in historical data.
Contribution
It proposes a novel approach to select the threshold for stock networks based on dynamic consistency, improving the reliability of market structure analysis.
Findings
Optimal threshold estimated at 0.28 for S&P 500 stocks
Three major financial crises are clearly distinguished in network topology
Method enhances understanding of market evolution and crisis detection
Abstract
Although the threshold network is one of the most used tools to characterize the underlying structure of a stock market, the identification of the optimal threshold to construct a reliable stock network remains challenging. In this paper, the concept of dynamic consistence between the threshold network and the stock market is proposed. The optimal threshold is estimated by maximizing the consistence function. The application of this procedure to stocks belonging to Standard \& Pool's 500 Index from January 2006 to December 2011 yields the threshold value 0.28. In analyzing topological characteristics of the generated network, three globally financial crises can be distinguished well from the evolutionary perspective.
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