The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data

In the financial markets, the heterogeneity of investors is mostly focusing on very different underlying assets. However, there is one specific heterogeneity need to be discussed, that is the heterogeneity represented by investors who are investing in very similar underlying assets. In another word,...

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Main Authors: Shihua Luo, Junlai Zhang, Zian Dai
Format: Article
Language:English
Published: Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek 2023-01-01
Series:Tehnički Vjesnik
Subjects:
Online Access:https://hrcak.srce.hr/file/426037
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author Shihua Luo
Junlai Zhang
Zian Dai
author_facet Shihua Luo
Junlai Zhang
Zian Dai
author_sort Shihua Luo
collection DOAJ
description In the financial markets, the heterogeneity of investors is mostly focusing on very different underlying assets. However, there is one specific heterogeneity need to be discussed, that is the heterogeneity represented by investors who are investing in very similar underlying assets. In another word, whether there is a method to quantitatively describe the heterogeneity when investors have the same expectation in the future. In order to detect this kind of heterogeneity we introduced multi-fractal feature values and select SSE (Shanghai Security Exchange) 50 Index and its derivatives, SSE 50 Index ETF (Exchanged Tradable Fund) and SSE 50 Index Future to research on this topic, since these three underlying assets presented very similar fluctuation during the same period. With the static scenario analysis and dynamic analysis we successfully find that the multi-fractal feature values are not only able to detect this heterogeneity but also be able to describe it quantitatively. The false nearest point test had shown that the multi-fractal values are necessary and rational in this process. The other advantage by introducing multi-fractal values is that they are quantitative numbers which could be applied to models directly.
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spelling doaj.art-b9dfaa8bb1a241e3933b29a4476498cd2024-04-15T18:18:00ZengFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in OsijekTehnički Vjesnik1330-36511848-63392023-01-0130249950510.17559/TV-20221016165426The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency DataShihua Luo0Junlai Zhang1Zian Dai2School of Statistics, Jiangxi University of Finance and Economics, 169 East Shuanggang Revenue, Nanchang, Jiangxi, ChinaSchool of Statistics, Jiangxi University of Finance and Economics, 169 East Shuanggang Revenue, Nanchang, Jiangxi, ChinaSchool of Statistics, Jiangxi University of Finance and Economics, 169 East Shuanggang Revenue, Nanchang, Jiangxi, ChinaIn the financial markets, the heterogeneity of investors is mostly focusing on very different underlying assets. However, there is one specific heterogeneity need to be discussed, that is the heterogeneity represented by investors who are investing in very similar underlying assets. In another word, whether there is a method to quantitatively describe the heterogeneity when investors have the same expectation in the future. In order to detect this kind of heterogeneity we introduced multi-fractal feature values and select SSE (Shanghai Security Exchange) 50 Index and its derivatives, SSE 50 Index ETF (Exchanged Tradable Fund) and SSE 50 Index Future to research on this topic, since these three underlying assets presented very similar fluctuation during the same period. With the static scenario analysis and dynamic analysis we successfully find that the multi-fractal feature values are not only able to detect this heterogeneity but also be able to describe it quantitatively. The false nearest point test had shown that the multi-fractal values are necessary and rational in this process. The other advantage by introducing multi-fractal values is that they are quantitative numbers which could be applied to models directly.https://hrcak.srce.hr/file/426037multi-fractal analysisR+realized volatilityscenario analysisultra-high frequency data
spellingShingle Shihua Luo
Junlai Zhang
Zian Dai
The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
Tehnički Vjesnik
multi-fractal analysis
R+realized volatility
scenario analysis
ultra-high frequency data
title The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
title_full The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
title_fullStr The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
title_full_unstemmed The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
title_short The Heterogeneity of Investors Based on Multi-fractal Features with Ultra-High Frequency Data
title_sort heterogeneity of investors based on multi fractal features with ultra high frequency data
topic multi-fractal analysis
R+realized volatility
scenario analysis
ultra-high frequency data
url https://hrcak.srce.hr/file/426037
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