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جریان اطلاعات و تعاملات درون بازارهای مالی تأثیر مهمی بر فرآیند کشف قیمت و انتشار احساسات و ریسک دارد. برای بورس اوراق بهادار تهران به عنوان یکی از مهم ترین بخش های بازار سرمایه ایران تاکنون پژوهش چندانی در حوزه آنتروپی انتقال و پویایی های جریان انتقال اطلاعات درون بازار انجام نشده است. در این پژوهش پویایی های جریان اطلاعات میان شاخص های 39 صنعت اصلی در بورس اوراق بهادار تهران طی دوره زمانی 7/1/1389 تا 31/3/1402، مورد بررسی قرار می گیرد. به منظور اندازه گیری شدت جریان اطلاعات بین صنایع، از رویکرد آنتروپی انتقالِ ﻣﺆثر استفاده می شود. سپس، دنباله ماتریس های اطلاعات برای پنجره غلتان با اندازه یک سال و تعداد روزهای انتقال 5 روز، ساخته می شود. با توجه به وقوع رخدادهای بحرانی متعدد طی دوره زمانی پژوهش، به منظور بررسی تأثیر آن ها بر جریان اطلاعات، از شبکه k-نزدیک ترین همسایه مبتنی بر فاصله فروبنیوس، آنالیز قوتِ تأثیر و شبکه آستانه، استفاده می شود. محاسبات نشان می دهد که ماتریس آنتروپی انتقال ﻣﺆثر از ویژگی زمان متغیر برخوردار است و طی اکثر دوره ها پایدار هست، بعلاوه، اکثر رخدادهای بحرانی بوقوع پیوسته در دوره زمانی پژوهش بر پویایی های جریان اطلاعات تأثیر قوی دارند. برطبق یافته ها مقادیر غیرنرمال قوت تأثیر با نوسانات بزرگ بازار و رخدادهای مهم همراه شده اند. به ویژه اینکه منبع اطلاعات غالب در دنباله شبکه های جریان اطلاعات، به طور چشمگیری طی زمان تغییر می کند که بیانگر آن است که صنعت غالب در شبکه پایدار نیست و تغییر می کند.

Analyzing the Time-Varying Characteristics of Information Flow Networks among Main Industries Indices in the Tehran Stock Exchange

 The information diffusion and interactions within financial markets have a significant impact on the price discovery process and the sentiment and risk dispersion. Despite its importance, limited research has been conducted on information flow dynamics within the Tehran Stock Exchange, which is a vital component of Iran's capital market. This study aims to fill this gap by examining the information flow dynamics among 39 major industries from March 27, 2010, to June 21, 2023. Effective transfer entropy is employed to quantify the intensity of information flow between industry indices. Sequence of information matrices are constructed using rolling one-week windows over one-year periods. Given the occurrence of critical events during the research period, their influence on information flow dynamics is analyzed using Frobenius distance-based k-nearest neighbor networks, Influence Strength analysis, and threshold networks. The findings reveal that the effective transfer entropy matrix exhibits time-varying characteristics and remains stable throughout most periods. Furthermore, critical events significantly impact information flow dynamics, with abnormal values of Influence Strength associated with market volatility and major events. Additionally, the dominant source of information in the information flow network changes over time, highlighting the transient nature of industry dominance within the network.IntroductionThe diffusion of information and interactions within financial markets greatly influences the price discovery process and affects sentiment and risk dispersion. The potential for growth in the Tehran Stock Exchange (TSE) through the introduction of innovative financial instruments can offer investors additional investment opportunities. Therefore, understanding the dynamics of information transmission within the market aids investors in decision-making.Existing literature suggests that stock price volatilities are interconnected, and stocks within the same industry often exhibit high correlations. Additionally, industry stock price indexes within the market can serve as leading indicators of economic activity. Analyzing the information flow network at the industry index level holds significant implications for investors, portfolio managers, and policymakers seeking to devise appropriate risk-mitigating strategies, especially industry sector rotation strategies.Despite the Tehran Stock Exchange being a vital component of Iran's capital market, there has been limited research on the information flow network between industries and its time-varying characteristics. Furthermore, despite significant events occurring during the specified sample period, there is a lack of empirical evidence regarding their impacts on information flow within the Tehran securities market.Methods and MaterialIn this research, the dynamics of information flow between the 39 major industries are investigated from March 27, 2010, to June 21, 2023. Following Ni (2023), the Effective transfer entropy that measures the intensity of information flow between industries indices is calculated. Then the sequence of information matrices is created by rolling a one-week calculation window. In this paper, the calculation window of 237-trading day widths and the rolling window of 5-day widths are used to calculate the information matrices of length 591. Moreover, using quantiles of return series,  and , the information matrix sequences are constructed.Given that the research period encompasses critical events, their influence on information flow is examined using various methodologies, including the Frobenius distance-based k-nearest neighbor network, Influence Strength (IS) analysis, and a threshold-directed network of information matrices. Results and DiscussionUpon depicting the Frobenius distance matrix based on Q1, significant shifts in the distance between the information matrices are observed. These shifts often coincide with critical events that have impacted the market.The IS series graph over the research period reveals several local peaks. For some peaks, no significant events occurred during the research period. Peak 2, however, corresponds to severe market fluctuations and turmoil, primarily stemming from the global impact of the 2008 financial crisis. Additionally, this time window aligns with the initial period of oil and petrochemical sanctions against Iran, leading to a decline in the total index of the TSE. Peak 4 reflects a decrease in the TSE's total index following Iran's nuclear agreement with the P5+1 in 2015 (post-JCPOA). During peak period 5, coinciding with the US withdrawal from the JCPOA and the re-imposition of all US sanctions, the TSE's total index experienced a drop. Peaks 1, 3, and 7 correspond to the bursting of stock price bubbles in 2009, 2013, and 2020, respectively.The findings also highlight that the window corresponding to the maximum value of IS (0.1757) is from 31/12/2012 to 7/1/2014, coinciding with the bursting of the stock price bubble in January 2014. Peak 6 corresponds to the window from 19/7/2020 to 7/7/2021, which includes the early days of the COVID-19 pandemic. Lastly, from 1/6/2022 to 3/6/2023, the government's decision to abolish the preferential exchange rate for importing basic goods negatively affected the prices of some listed companies in the TSE and the indexes of related industries. Comparing the patterns of IS calculated based on Q1 vs. Q2 demonstrates the correspondence between the local peaks.On the other hand, examining the Financial industry (node 37), the  series reached its peak during 2/2/2016-25/1/2017. During this period, the TSE faced a significant decline in the total index due to uncertainty caused by the JCPOA. Analysis of the directional network of the information matrix, filtered with a threshold of 0.01, reveals that in the post-JCPOA period, there is an information flow between the Financial industry and all other industries except the Furniture industry (node 20) and Peymankari industry (node 26).Furthermore, aside from node 37, which serves as the central node during this period, node 34 (Banking industry, deg = 34), node 39 (EstekrajeNaft industry, deg=33), and node 35 (SayerMali industry, deg =32) also exhibit high degrees. Additionally, the network constructed from the information matrix corresponding to peak 6 indicates several central nodes. However, during the time window corresponding to peak 6, node 24 (Daroee industry) with the highest  (0.0105) exerts the strongest influence on the network.The results also demonstrate that for certain industries, such as the Pharmaceutical industry, the value of  increased during the 19/1/2016-11/1/2017 period, corresponding to the post-JCPOA era. However, for other industries, the maximum value of  occurred mainly during other critical periods, such as the stock price bubble bursts in 2010 and 2014 and the imposition of new sanctions against Iran..ConclusionThe findings indicate that the effective transfer entropy matrix exhibits time-varying characteristics and remains stable over the majority of periods. Additionally, critical events have notably impacted the dynamics of information flow, with abnormal values of Influence Strength correlating with market volatility and significant events. Moreover, the primary source of information in the sequence of the information flow network evolves over time, suggesting that the dominant industry in the network is not consistently sustainable.

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