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23 pages, 1608 KB  
Article
Cross-Market Risk Spillovers and Tail Dependence Between U.S. and Chinese Technology-Related Equity Markets
by Xinmiao Zhou and Huihong Liu
Int. J. Financial Stud. 2025, 13(4), 242; https://doi.org/10.3390/ijfs13040242 - 17 Dec 2025
Viewed by 438
Abstract
This study investigates risk contagion and dependence structures between U.S. and Chinese technology-related stock markets, focusing on the electronics and semiconductor sectors. We employ DCC-GARCH models to capture time-varying correlations and copula models to analyze nonlinear and tail dependencies. To highlight extreme risk [...] Read more.
This study investigates risk contagion and dependence structures between U.S. and Chinese technology-related stock markets, focusing on the electronics and semiconductor sectors. We employ DCC-GARCH models to capture time-varying correlations and copula models to analyze nonlinear and tail dependencies. To highlight extreme risk dynamics, we extend the analysis to Value-at-Risk (VaR) series derived from a GARCH(1,1)-Skewed-t model. Empirical results reveal three major findings. First, volatility clustering and negative skewness are evident across markets, with extreme downside risks concentrated during the 2015 Chinese stock market crash and the 2020 COVID-19 pandemic. Second, copula results show stronger upper-tail dependence in cross-border broad markets and more symmetric dependence within domestic Chinese markets, while U.S. sectoral linkages exhibit the highest vulnerability during downturns. Third, dynamic copula analysis indicates that downside contagion is episodic and crisis-driven, whereas rebound co-movements are structurally persistent. These findings contribute to understanding systemic vulnerability in global technology markets. They provide insights for investors, regulators, and policymakers on monitoring cross-market contagion and managing systemic risk under stress scenarios. Full article
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18 pages, 922 KB  
Article
The Financial Risk Meter (FRM) for Kuwait: A Tail-Event Perspective on Systemic Risk and Economic Forecasting
by Talat Ulussever, Yousef Abdulrazzaq, Onur Polat and Hasan Murat Ertuğrul
Sustainability 2025, 17(23), 10443; https://doi.org/10.3390/su172310443 - 21 Nov 2025
Viewed by 474
Abstract
This study develops and applies the Financial Risk Meter (FRM) for Kuwait, a novel measure of systemic risk tailored for a commodity-dependent emerging economy. Using Lasso quantile regression, the FRM captures tail-event co-movements among key financial institutions, providing a robust indicator of systemic [...] Read more.
This study develops and applies the Financial Risk Meter (FRM) for Kuwait, a novel measure of systemic risk tailored for a commodity-dependent emerging economy. Using Lasso quantile regression, the FRM captures tail-event co-movements among key financial institutions, providing a robust indicator of systemic stress. This paper makes three primary contributions. First, it provides the first application of the FRM framework to an oil-exporting economy, identifying the distinct channels through which global financial shocks and commodity price volatility create systemic risk. Second, it quantitatively demonstrates the FRM’s superior performance in tracking financial stress compared to the benchmark Conditional Value-at-Risk (CoVaR) model. Third, it identifies the specific drivers of systemic risk in Kuwait, offering actionable insights for policymakers. Our findings show that the FRM effectively pinpoints periods of high financial distress, aligns with global risk indicators, and can enhance recession forecasting. By providing a clear and timely measure of systemic risk, this study offers a valuable tool for regulators to bolster financial stability and advance sustainable economic development in Kuwait and other resource-dependent nations. Full article
(This article belongs to the Section Economic and Business Aspects of Sustainability)
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32 pages, 6406 KB  
Article
Incorporating Parameter Uncertainty into Copula Models: A Fuzzy Approach
by Irina Georgescu and Jani Kinnunen
Symmetry 2025, 17(11), 1892; https://doi.org/10.3390/sym17111892 - 6 Nov 2025
Viewed by 727
Abstract
This paper proposes a fuzzy copula-based optimization framework for modeling dependence structures and financial risk under parameter uncertainty. The parameters of selected copula families are represented as trapezoidal fuzzy numbers, and their α-cut intervals capture both the support and core ranges of plausible [...] Read more.
This paper proposes a fuzzy copula-based optimization framework for modeling dependence structures and financial risk under parameter uncertainty. The parameters of selected copula families are represented as trapezoidal fuzzy numbers, and their α-cut intervals capture both the support and core ranges of plausible dependence values. This fuzzification transforms the estimation of copula parameters into a fuzzy optimization problem, enhancing robustness against sampling variability. The methodology is empirically applied to gold and oil futures (1 January 2015–1 January 2025), comparing symmetric copulas, i.e., Gaussian and Frank and asymmetric copulas, i.e., Clayton, Gumbel and Student-t. The results prove that the fuzzy copula framework provides richer insights than classical point estimation by explicitly expressing uncertainty in dependence measures (Kendall’s τ, Spearman’s ρ) and risk indicators (Value-at-Risk, Conditional Value-at-Risk). Rolling-window analyses reveal that fuzzy VaR and fuzzy CVaR effectively capture temporal dependence shifts and tail severity, with fuzzy CVaR consistently producing more conservative risk estimates. This study highlights the potential of fuzzy optimization and fuzzy dependence modeling as powerful tools for quantifying uncertainty and managing extreme co-movements in financial markets. Full article
(This article belongs to the Special Issue The Fusion of Fuzzy Sets and Optimization Using Symmetry)
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16 pages, 943 KB  
Article
Harmonic Mitigation and Energy Savings in 13.2 kV Distribution Feeders via P–Q-Based Shunt Active Filters and Luminaire Retrofit
by Brandon Condemaita and Milton Ruiz
Energies 2025, 18(21), 5582; https://doi.org/10.3390/en18215582 - 23 Oct 2025
Viewed by 957
Abstract
This article designs and validates a P-Q-based shunt active power filter (SAPF) to mitigate voltage harmonics in EERSA’s 13.2 kV feeder 1500080T03. A CYMDIST feeder model, calibrated with field measurements, reveals worst-case voltage THD up to 9.48% due to legacy high-pressure sodium (HPS) [...] Read more.
This article designs and validates a P-Q-based shunt active power filter (SAPF) to mitigate voltage harmonics in EERSA’s 13.2 kV feeder 1500080T03. A CYMDIST feeder model, calibrated with field measurements, reveals worst-case voltage THD up to 9.48% due to legacy high-pressure sodium (HPS) street lighting. Co-simulation with a MATLAB/Simulink R2024b, controller guides the sizing of a 150 kVA SAPF at Substation 8. Simulations reduce peak THD at a representative node from 9.48% to 1.51%; replacing HPS with LEDs further improves efficiency while lowering distortion. The retrofit complies with IEEE Std 519-2022, enhances supply reliability, and yields an internal rate of return above 17%, indicating a technically and financially attractive solution for Latin American distribution networks. Full article
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28 pages, 6253 KB  
Article
Bulk Electrical Resistivity as an Indicator of the Durability of Sustainable Concrete: Influence of Pozzolanic Admixtures
by Lorena del Carmen Santos Cortés, Sergio Aurelio Zamora Castro, María Elena Tejeda del Cueto, Liliana Azotla-Cruz, Joaquín Sangabriel Lomeli and Óscar Velázquez Camilo
Appl. Sci. 2025, 15(20), 11232; https://doi.org/10.3390/app152011232 - 20 Oct 2025
Viewed by 880
Abstract
Premature deterioration of concrete structures in coastal areas requires a careful evaluation based on durability criteria. Electrical Resistivity (ER) serves as a valuable indicator of concrete durability, as it reflects how easily aggressive agents can penetrate its pores. This testing method offers several [...] Read more.
Premature deterioration of concrete structures in coastal areas requires a careful evaluation based on durability criteria. Electrical Resistivity (ER) serves as a valuable indicator of concrete durability, as it reflects how easily aggressive agents can penetrate its pores. This testing method offers several advantages; it is non-destructive, rapid, and more cost-effective than the chloride permeability test (RCPT). Furthermore, durable concrete typically necessitates larger quantities of cement, which contradicts the goals of sustainable concrete development. Thus, a significant challenge is to create concrete that is both durable and sustainable. This research explores the effects of pozzolanic additives, specifically Volcanic Ash (VA) and Sugarcane Bagasse Ash (SCBA), on the electrical resistivity of eco-friendly concretes exposed to the coastal conditions of the Gulf of Mexico. The electrical resistivity (ER) was measured at intervals of 3, 7, 14, 21, 28, 45, 56, 90, and 180 days across 180 cylinders, each with dimensions of 10 cm × 20 cm. The sustainability of the concrete was evaluated based on its energy efficiency. Three types of mixtures were developed using the ACI 211.1 method, maintaining a water-to-cement (w/c) ratio of 0.57 with CPC 30 R RS cement and incorporating various additions: (1) varying percentages of VA (2.5%, 5%, and 7.5%), (2) SCBA at rates of 5%, 10%, and 15%, and (3) ternary mixtures featuring VA-SCBA ratios of 1:1, 1:2, and 1:3. The findings indicated an increase in ER of up to 37% and a reduction in CO2 emissions ranging from 4.2% to 16.8% when compared to the control mixture, highlighting its potential for application in structures situated in aggressive environments. Full article
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28 pages, 1156 KB  
Article
Financial Systemic Risk and the COVID-19 Pandemic
by Xin Huang
Risks 2025, 13(9), 169; https://doi.org/10.3390/risks13090169 - 4 Sep 2025
Viewed by 1621
Abstract
The COVID-19 pandemic has caused market turmoil and economic distress. To understand the effect of the pandemic on the U.S. financial systemic risk, we analyze the explanatory power of detailed COVID-19 data on three market-based systemic risk measures (SRMs): Conditional Value at Risk, [...] Read more.
The COVID-19 pandemic has caused market turmoil and economic distress. To understand the effect of the pandemic on the U.S. financial systemic risk, we analyze the explanatory power of detailed COVID-19 data on three market-based systemic risk measures (SRMs): Conditional Value at Risk, Distress Insurance Premium, and SRISK. In the time-series dimension, we use the Dynamic OLS model and find that financial variables, such as credit default swap spreads, equity correlation, and firm size, significantly affect the SRMs, but the COVID-19 variables do not appear to drive the SRMs. However, if we focus on the first wave of the COVID-19 pandemic in March 2020, we find a positive and significant COVID-19 effect, especially before the government interventions. In the cross-sectional dimension, we run fixed-effect and event-study regressions with clustered variance-covariance matrices. We find that market capitalization helps to reduce a firm’s contribution to the SRMs, while firm size significantly predicts the surge in a firm’s SRM contribution when the pandemic first hits the system. The policy implications include that proper market interventions can help to mitigate the negative pandemic effect, and policymakers should continue the current regulation of required capital holding and consider size when designating systemically important financial institutions. Full article
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24 pages, 34589 KB  
Article
Extracellular Vesicle-Mediated miR-155 from Visceral Adipocytes Induces Skeletal Muscle Dysplasia in Obesity
by Yunyan Ji, Zeen Gong, Rui Liang, Di Wu, Wen Sun, Xiaomao Luo, Yi Yan, Jiayin Lu, Juan Wang and Haidong Wang
Cells 2025, 14(17), 1302; https://doi.org/10.3390/cells14171302 - 22 Aug 2025
Cited by 1 | Viewed by 1459
Abstract
Obesity poses a serious threat to human health, with induced skeletal muscle dysfunction significantly increasing the risk of metabolic syndrome. In obesity, it is known that visceral adipose tissue (VAT) mediates the dysregulation of the adipose–muscle axis through exosome-delivered miRNAs, but the associated [...] Read more.
Obesity poses a serious threat to human health, with induced skeletal muscle dysfunction significantly increasing the risk of metabolic syndrome. In obesity, it is known that visceral adipose tissue (VAT) mediates the dysregulation of the adipose–muscle axis through exosome-delivered miRNAs, but the associated regulatory mechanisms remain incompletely elucidated. This study established an AAV-mediated miR-155 obese mouse model and a co-culture system (HFD VAD-evs/RAW264.7 cells/C2C12 cells) to demonstrate that high-fat diet-induced VA-derived extracellular vesicles (HFD VAD-evs) preferentially accumulate in skeletal muscle and induce developmental impairment. HFD VAD-evs disrupt skeletal muscle homeostasis through dual mechanisms: the direct suppression of myoblast development via exosomal miR-155 cargo and the indirect inhibition of myogenesis through macrophage-mediated inflammatory responses in skeletal muscle. Notably, miR-155 inhibition in HFD VAD-evs reversed obesity-associated myogenic deficits. These findings provide novel mechanistic insights into obesity-induced skeletal muscle dysregulation and facilitate potential therapeutic strategies targeting exosomal miRNA signaling. Full article
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27 pages, 5122 KB  
Article
Risk Spillover of Energy-Related Systems Under a Carbon Neutral Target
by Fei Liu, Honglin Yao, Yanan Chen, Xingbei Song, Yihang Zhao and Sen Guo
Energies 2025, 18(13), 3515; https://doi.org/10.3390/en18133515 - 3 Jul 2025
Viewed by 678
Abstract
Under the background of climate change, the risk spillover within the energy system is constantly intensifying. Clarifying the coupling relationship between entities within the energy system can help policymakers propose more reasonable policy measures and strengthen risk prevention. To estimate the risk spillover [...] Read more.
Under the background of climate change, the risk spillover within the energy system is constantly intensifying. Clarifying the coupling relationship between entities within the energy system can help policymakers propose more reasonable policy measures and strengthen risk prevention. To estimate the risk spillover of energy-related systems, this paper constructs five subsystems: the fossil fuel subsystem, the electricity subsystem, the green bond subsystem, the renewable energy subsystem, and the carbon subsystem. Then, a quantitative risk analysis is conducted on two major energy consumption/carbon emission entities, China and Europe, based on the DCC-GARCH-CoVaR method. The result shows that (1) Markets of the same type often have more significant dynamic correlations. Of these, the average dynamic correlation coefficient of GBI-CABI (the Chinese green bond subsystem) and FR-DE (the European electricity subsystem) are the largest, by 0.8552 and 0.7347. (2) The high correlation between energy markets results in serious risk contagion, and the overall risk spillover effect within the European energy system is about 2.6 times that within the Chinese energy system. Of these, EUA and CABI are the main risk connectors of each energy system. Full article
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27 pages, 3082 KB  
Article
Analyzing Systemic Risk Spillover Networks Through a Time-Frequency Approach
by Liping Zheng, Ziwei Liang, Jiaoting Yi and Yuhan Zhu
Mathematics 2025, 13(13), 2070; https://doi.org/10.3390/math13132070 - 22 Jun 2025
Viewed by 2165
Abstract
This paper investigates the spillover effects and transmission networks of systemic risk within China’s national economic sectors under extreme conditions from both time and frequency domain perspectives, building upon the spillover index methodology and calculating the ∆CoVaR index for Chinese industries. The findings [...] Read more.
This paper investigates the spillover effects and transmission networks of systemic risk within China’s national economic sectors under extreme conditions from both time and frequency domain perspectives, building upon the spillover index methodology and calculating the ∆CoVaR index for Chinese industries. The findings indicate the following: (1) Extreme-risk spillovers synchronize across industries but exhibit pronounced time-varying peaks during the 2008 Global Financial Crisis, the 2015 crash, and the COVID-19 pandemic. (2) Long-term spillovers dominate overall connectedness, highlighting the lasting impact of fundamentals and structural linkages. (3) In terms of risk volatility, Energy, Materials, Consumer Discretionary, and Financials are most sensitive to systemic market shocks. (4) On the risk spillover effect, Consumer Discretionary, Industrials, Healthcare, and Information Technology consistently act as net transmitters of extreme risk, while Energy, Materials, Consumer Staples, Financials, Telecom Services, Utilities, and Real Estate primarily serve as net receivers. Based on these findings, the paper suggests deepening the regulatory mechanisms for systemic risk, strengthening the synergistic effect of systemic risk measurement and early warning indicators, and coordinating risk monitoring, early warning, and risk prevention and mitigation. It further emphasizes the importance of avoiding fragmented regulation by establishing a joint risk prevention mechanism across sectors and departments, strengthening the supervision of inter-industry capital flows. Finally, it highlights the need to closely monitor the formation mechanisms and transmission paths of new financial risks under the influence of the pandemic to prevent the accumulation and eruption of risks in the post-pandemic era. Authorities must conduct annual “Industry Transmission Reviews” to map emerging risk nodes and supply-chain vulnerabilities, refine policy tools, and stabilize market expectations so as to forestall the build-up and sudden release of new systemic shocks. Full article
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17 pages, 3379 KB  
Article
Tail Risk in Weather Derivatives
by Tuoyuan Cheng, Saikiran Reddy Poreddy and Kan Chen
Commodities 2025, 4(2), 11; https://doi.org/10.3390/commodities4020011 - 17 Jun 2025
Viewed by 1945
Abstract
Weather derivative markets, particularly Chicago Mercantile Exchange (CME) Heating Degree Day (HDD) and Cooling Degree Day (CDD) futures, face challenges from complex temperature dynamics and spatially heterogeneous co-extremes that standard Gaussian models overlook. Using daily data from 13 major U.S. cities (2014–2024), we [...] Read more.
Weather derivative markets, particularly Chicago Mercantile Exchange (CME) Heating Degree Day (HDD) and Cooling Degree Day (CDD) futures, face challenges from complex temperature dynamics and spatially heterogeneous co-extremes that standard Gaussian models overlook. Using daily data from 13 major U.S. cities (2014–2024), we first construct a two-stage baseline model to extract standardized residuals isolating stochastic temperature deviations. We then estimate the Extreme Value Index (EVI) of HDD/CDD residuals, finding that the nonlinear degree-day transformation amplifies univariate tail risk, notably for warm-winter HDD events in northern cities. To assess multivariate extremes, we compute Tail Dependence Coefficient (TDC), revealing pronounced, geographically clustered tail dependence among HDD residuals and weaker dependence for CDD. Finally, we compare Gaussian, Student’s t, and Regular Vine Copula (R-Vine) copulas via joint VaR–ES backtesting. The R-Vine copula reproduces HDD portfolio tail risk, whereas elliptical copulas misestimate portfolio losses. These findings highlight the necessity of flexible dependence models, particularly R-Vine, to set margins, allocate capital, and hedge effectively in weather derivative markets. Full article
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19 pages, 446 KB  
Article
Risk Spillover Effect from Oil to Chinese New-Energy-Related Stock Markets: An R-vine Copula-Based CoVaR Approach
by Kongsheng Zhang, Xiaorui Xu and Mingtao Zhao
Mathematics 2025, 13(12), 1934; https://doi.org/10.3390/math13121934 - 10 Jun 2025
Viewed by 908
Abstract
In this article, an R-vine copula model is proposed to detect the nonlinear interrelationships between the oil market and five Chinese new-energy-related stock markets from 2017 to 2022, i.e., photovoltaic, new energy vehicles, energy storage, wind power, and nuclear power industries. Firstly, the [...] Read more.
In this article, an R-vine copula model is proposed to detect the nonlinear interrelationships between the oil market and five Chinese new-energy-related stock markets from 2017 to 2022, i.e., photovoltaic, new energy vehicles, energy storage, wind power, and nuclear power industries. Firstly, the transmission of downward and upward risk spillover effects (RSEs) is measured from the oil market to the five Chinese new-energy-related stock markets. Subsequently, a CoVaR backtesting methodology is developed to demonstrate the availability of the R-vine copula-CoVaR model. The empirical studies strongly show that the oil market exhibits a significant asymmetric RSE on the five Chinese new-energy-related stock markets. Furthermore, different Chinese new-energy-related stock markets have varying responses to the positive and negative impacts of the oil market. Specifically, the photovoltaic, energy storage, and wind power industries are more sensitive to such adverse effects. However, the new energy vehicle and nuclear power industries are more likely to be positively affected. Full article
(This article belongs to the Special Issue Advanced Statistical Applications in Financial Econometrics)
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17 pages, 1538 KB  
Article
Research on the Interlinked Mechanism of Agricultural System Risks from an Industry Perspective
by Shiyi Yuan, Miao Yang, Baohua Liu and Ganqiong Li
Sustainability 2025, 17(10), 4719; https://doi.org/10.3390/su17104719 - 21 May 2025
Viewed by 1100
Abstract
Studying the risk propagation mechanisms in agricultural systems is crucial for maintaining agricultural stability and promoting sustainable development. This research analyzes the risk effects and risk propagation mechanisms in agricultural systems using the DCC-t-Copula-CoVaR model, multi-layer network structures, and the mixed-frequency regression MIDAS [...] Read more.
Studying the risk propagation mechanisms in agricultural systems is crucial for maintaining agricultural stability and promoting sustainable development. This research analyzes the risk effects and risk propagation mechanisms in agricultural systems using the DCC-t-Copula-CoVaR model, multi-layer network structures, and the mixed-frequency regression MIDAS model. The study finds that there is significant heterogeneity in risk spillover and absorption in agricultural systems; the risk propagation in agricultural systems is stable, and the stronger the connectivity of industry nodes, the greater the risk. Taking the seed industry as an example, its structural indicator values consistently range between 1.0 and 1.1, with fluctuations closely linked to industry development and policy adjustments. Major risks are caused by risk resonance across multiple industries, not triggered by a single industry alone; the interconnections between industries within the agricultural system can disperse risks, forming a collective risk-sharing mechanism. Understanding these dynamics is essential for developing resilient agricultural practices that support long-term sustainability, ensuring food security, and mitigating environmental impacts. By addressing risk propagation and fostering interconnected risk-sharing mechanisms, agricultural systems can better adapt to challenges such as climate change, resource scarcity, and market volatility, ultimately contributing to a more sustainable and stable global food system. Full article
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22 pages, 1111 KB  
Article
Dependency and Risk Spillover of China’s Industrial Structure Under the Environmental, Social, and Governance Sustainable Development Framework
by Yucui Li, Piyapatr Busababodhin and Supawadee Wichitchan
Sustainability 2025, 17(10), 4660; https://doi.org/10.3390/su17104660 - 19 May 2025
Cited by 1 | Viewed by 1127
Abstract
With the growing global emphasis on sustainable development goals, Environmental, Social, and Governance (ESG) factors have emerged as critical considerations in shaping economic policies and strategies. This study employs the ARMA-eGARCH-skewed t and Vine Copula models, combined with the CoVaR method, to investigate [...] Read more.
With the growing global emphasis on sustainable development goals, Environmental, Social, and Governance (ESG) factors have emerged as critical considerations in shaping economic policies and strategies. This study employs the ARMA-eGARCH-skewed t and Vine Copula models, combined with the CoVaR method, to investigate the dependence structure and risk spillover pathways across various industrial sectors in China within the ESG framework. By modeling the complex interdependencies among sectors, this research uncovers the relationships between individual industries and the ESG benchmark index, while also analyzing the correlations across different sectors. Furthermore, this study quantifies the risk contagion effects across distinct industries under extreme market conditions and maps the pathways of risk spillovers. The findings highlight the pivotal role of ESG considerations in shaping industrial structures. Empirical results demonstrate that industries such as agriculture, energy, and manufacturing exhibit significant systemic risk characteristics in response to ESG fluctuations. Specifically, the identified risk spillover pathway follows the sequence: agriculture → consumption → ESG → manufacturing → energy. The CoVaR values for agriculture, energy, and manufacturing indicate a significant potential for risk contagion. Moreover, sectors such as real estate, finance, and information technology exhibit significant risk spillover effects. These findings offer valuable empirical evidence and a theoretical foundation for formulating ESG-related policies. This study suggests that effective risk management, promoting green finance, encouraging technological innovation, and optimizing industrial structures can significantly mitigate systemic risks. These measures can contribute to maintaining industrial stability and fostering sustainable economic development. Full article
(This article belongs to the Section Economic and Business Aspects of Sustainability)
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30 pages, 736 KB  
Article
Navigating Uncertainty in an Emerging Market: Data-Centric Portfolio Strategies and Systemic Risk Assessment in the Johannesburg Stock Exchange
by John W. M. Mwamba, Jules C. Mba and Anaclet K. Kitenge
Int. J. Financial Stud. 2025, 13(1), 32; https://doi.org/10.3390/ijfs13010032 - 1 Mar 2025
Cited by 4 | Viewed by 2037
Abstract
This study investigates systemic risk, return patterns, and diversification within the Johannesburg Stock Exchange (JSE) during the COVID-19 pandemic, utilizing data-centric approaches and the ARMA-GARCH vine copula-based conditional value-at-risk (CoVaR) model. By comparing three investment strategies—industry sector-based, asset risk–return plot-based, and clustering-based—this research [...] Read more.
This study investigates systemic risk, return patterns, and diversification within the Johannesburg Stock Exchange (JSE) during the COVID-19 pandemic, utilizing data-centric approaches and the ARMA-GARCH vine copula-based conditional value-at-risk (CoVaR) model. By comparing three investment strategies—industry sector-based, asset risk–return plot-based, and clustering-based—this research reveals that the industrial and technology sectors show no ARCH effects and remain isolated from other sectors, indicating potential diversification opportunities. Furthermore, the analysis employs C-vine and R-vine copulas, which uncover weak tail dependence among JSE sectors. This finding suggests that significant fluctuations in one sector minimally impact others, thereby highlighting the resilience of the South African economy. Additionally, entropy measures, including Shannon and Tsallis entropy, provide insights into the dynamics and predictability of various portfolios, with results indicating higher volatility in the energy sector and certain clusters. These findings offer valuable guidance for investors and policymakers, emphasizing the need for adaptable risk management strategies, particularly during turbulent periods. Notably, the industrial sector’s low CoVaR values signal stability, encouraging risk-tolerant investors to consider increasing their exposure. In contrast, others may explore diversification and hedging strategies to mitigate risk. Interestingly, the industry sector-based portfolio demonstrates better diversification during the COVID-19 crisis than the other two data-centric portfolios. This portfolio exhibits the highest Tsallis entropy, suggesting it offers the best diversity among the types analyzed, albeit said diversity is still relatively low overall. However, the portfolios based on groups and clusters of sectors show similar levels of diversity and concentration, as indicated by their identical entropy values. Full article
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23 pages, 434 KB  
Article
Portfolio Selection Based on Modified CoVaR in Gaussian Framework
by Piotr Jaworski and Anna Zalewska
Mathematics 2024, 12(23), 3766; https://doi.org/10.3390/math12233766 - 29 Nov 2024
Viewed by 832
Abstract
We study a Mean-Risk model, where risk is measured by a Modified CoVaR (Conditional Value at Risk): [...] Read more.
We study a Mean-Risk model, where risk is measured by a Modified CoVaR (Conditional Value at Risk): CoVaRα,β(X|Y)=VaRβ(X|Y+VaRα(Y)0). We prove that in a Gaussian setting, for a sufficiently small β, such a model has a solution. There exists a portfolio that fulfills the given constraints and for which the risk is minimal. This is shown in relation to the mean–standard deviation portfolio, and numerical examples are provided. Full article
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