Advances in Financial Mathematics and Risk Management

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: 31 August 2024 | Viewed by 3027

Special Issue Editors


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Guest Editor
Department of Heritage, Architecture and Urban Planning, University “Mediterranea” of Reggio Calabria, 89124 Reggio Calabria, Italy
Interests: mathematical economy; dynamical economy; development economy; regional economy; artificial economy

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Guest Editor
Department of Business and Legal Sciences, Calabria University, Cosenza, Via Pietro Bucci 7/11 b, 87036 Arcavacata di Rende (CS), Italy
Interests: merchant banking; private equity

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Faculty of Economics and Business Science, University of Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain
Interests: fuzzy logic; sports economic management; fuzzy neuromarketing
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Faculty of Research and Enterprise, University of Central Lancashire, Fylde Rd., Preston PR1 2HE, UK
Interests: discriminant analysis; artificial neural networks; credit risk management; banking finance; applied econometrics

Special Issue Information

Dear Colleagues,

Financial mathematics and risk management are two key areas in economics and in finance that heavily use mathematical modeling, statistical analysis, and computational techniques. In recent years, there has been a growing interest in incorporating artificial intelligence (AI) and machine learning (ML) into these fields to improve the accuracy, efficiency, and decision-making capabilities.

One significant advantage of AI and ML is their ability to analyze large datasets quickly and accurately. Financial institutions can use AI algorithms to identify patterns and trends in market data and make better-informed decisions about investments, portfolio management, and risk management. AI can also help identify potential risks and opportunities by analyzing data from multiple sources, such as news articles, social media, and financial reports, which can inform financial modeling and risk management strategies.

In financial mathematics, AI can help improve predictive models by identifying patterns and trends that may be difficult to identify through traditional statistical methods. This can lead to more accurate forecasting of market trends, asset prices, and other financial indicators. AI can also help identify optimal investment strategies and portfolio allocations based on risk tolerance, performance objectives, and other factors.

Risk management, on the other hand, can benefit from AI in several ways. For example, AI algorithms can analyze financial data in real-time, detect potential risks and market anomalies, and alert risk managers to take appropriate action. AI can also help with credit risk analysis, fraud detection, and compliance monitoring, among other areas. Furthermore, AI can provide a more comprehensive analysis of risk factors by incorporating non-financial data, such as geopolitical events and macroeconomic indicators, into risk models.

While there are significant benefits to incorporating AI into financial mathematics and risk management, there are also potential challenges and risks to consider. For example, AI algorithms may be subject to bias, which can lead to inaccurate or unfair decisions. Additionally, AI models may be difficult to interpret, which can cause it to be challenging to understand how decisions are made and to assess the validity of model outputs.

We welcome original research articles that explore, by using artificial intelligence, theoretical and applied aspects of economic and financial mathematics, risk management, and related fields, including but not limited to:

  • Mathematical models of economic and financial markets;
  • Risk measurement and management techniques;
  • Portfolio optimization and asset allocation;
  • Option pricing and derivatives;
  • Credit risk analysis and management;
  • Behavioral economics and decision making under uncertainty;
  • Econometrics and data analysis;
  • Regulation policy.

We welcome papers that use a range of methodologies, including empirical studies, theoretical models, and computational techniques. Submissions should be of high quality, original, and significantly contribute to the field of economic and financial mathematics and risk management.

Prof. Domenico Marino
Prof. Dr. Piluso Fabio
Prof. Dr. Jaime Gil Lafuente
Prof. Dr. Hussein A. Abdou
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • artificial intelligence
  • risk management
  • portfolio optimization
  • machine learning
  • decision making

Published Papers (4 papers)

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Research

21 pages, 1301 KiB  
Article
Does Environmental, Social, and Governance (ESG) Performance Improve Financial Institutions’ Efficiency? Evidence from China
by Zhiliang Wu and Shaowei Chen
Mathematics 2024, 12(9), 1369; https://doi.org/10.3390/math12091369 - 30 Apr 2024
Viewed by 556
Abstract
Nowadays, the call for sustainable development is becoming stronger in all countries of the world, and environmental, social, and governance (ESG) performance, as a vivid practice of this concept, has gradually received extensive attention from enterprises and investors. Financial institutions have an important [...] Read more.
Nowadays, the call for sustainable development is becoming stronger in all countries of the world, and environmental, social, and governance (ESG) performance, as a vivid practice of this concept, has gradually received extensive attention from enterprises and investors. Financial institutions have an important position in the national economy as an important tool for the state to regulate the macroeconomy. Whether ESG performance can improve financial institutions’ efficiency is of key significance for boosting sustainable development. Based on data from China’s listed financial institutions from 2015 to 2021, this study aims to investigate the impact of ESG performance on financial institutions. The robust nonparametric boundary model and fixed-effects model are employed for analysis. The empirical results demonstrate that ESG performance and its sub-indicators of environmental performance and social responsibility performance can significantly enhance financial institutions’ efficiency. In particular, this effect is more pronounced in the securities industry and diversified financial industry, as well as in non-state and small-scale financial institutions. The results remain unchanged after a series of robustness tests. Furthermore, the mechanism tests indicate that ESG performance can enhance financial institutions’ efficiency by reducing downside risk and agency costs. Full article
(This article belongs to the Special Issue Advances in Financial Mathematics and Risk Management)
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28 pages, 324 KiB  
Article
Does Herding and Anti-Herding Reflect Portfolio Managers’ Abilities in Emerging Markets?
by Dachen Sheng and Heather A. Montgomery
Mathematics 2024, 12(8), 1220; https://doi.org/10.3390/math12081220 - 18 Apr 2024
Viewed by 433
Abstract
This study investigates the relationship between herding behaviors and the abilities of Chinese mutual fund managers. Adapting existing methodologies to suit the low information disclosure environment of the Chinese market, we measure herding behaviors and managers’ abilities. Our analysis goes beyond traditional approaches [...] Read more.
This study investigates the relationship between herding behaviors and the abilities of Chinese mutual fund managers. Adapting existing methodologies to suit the low information disclosure environment of the Chinese market, we measure herding behaviors and managers’ abilities. Our analysis goes beyond traditional approaches by examining the contribution of herding outcomes to picking and timing abilities linked with mutual fund flows. Moreover, we extend this investigation to incorporate manager replacements and different market conditions. Our findings reveal that moderate herding is associated with enhanced picking abilities, particularly in bull markets. However, this effect is partly counteracted by positive mutual fund flows, suggesting that managers adjust their strategies in response to fund inflows. Excessive herding in bull markets is linked to reduced timing abilities, although this negative impact is mitigated by high turnover. Conversely, managers with anti-herding skills exhibit lower picking abilities. We observe that managerial replacements are driven by poor performance rather than considerations of current abilities. Nonetheless, under a new manager, herding behavior reflects improved picking abilities, indicating a potential shift in managerial strategies. Overall, our study provides valuable insights into the relationship between herding behaviors and managerial competencies in the Chinese mutual fund industry, highlighting the nuances of decision making in different market contexts. Full article
(This article belongs to the Special Issue Advances in Financial Mathematics and Risk Management)
21 pages, 4039 KiB  
Article
Enhanced Genetic-Algorithm-Driven Triple Barrier Labeling Method and Machine Learning Approach for Pair Trading Strategy in Cryptocurrency Markets
by Ning Fu, Mingu Kang, Joongi Hong and Suntae Kim
Mathematics 2024, 12(5), 780; https://doi.org/10.3390/math12050780 - 6 Mar 2024
Viewed by 933
Abstract
In the dynamic world of finance, the application of Artificial Intelligence (AI) in pair trading strategies is gaining significant interest among scholars. Current AI research largely concentrates on regression analyses of prices or spreads between paired assets for formulating trading strategies. However, AI [...] Read more.
In the dynamic world of finance, the application of Artificial Intelligence (AI) in pair trading strategies is gaining significant interest among scholars. Current AI research largely concentrates on regression analyses of prices or spreads between paired assets for formulating trading strategies. However, AI models typically exhibit less precision in regression tasks compared to classification tasks, presenting a challenge in refining the accuracy of pair trading strategies. In pursuit of high-performance labels to elevate the precision of classification models, this study advanced the Triple Barrier Labeling Method for enhanced compatibility with pair trading strategies. This refinement enables the creation of diverse label sets, each tailored to distinct barrier configurations. Focusing on achieving maximal profit or minimizing the Maximum Drawdown (MDD), Genetic Algorithms (GAs) were employed for the optimization of these labels. After optimization, the labels were classified into two distinct types: High Risk and High Profit (HRHP) and Low Risk and Low Profit (LRLP). These labels then serve as the foundation for training machine learning models, which are designed to predict future trading activities in the cryptocurrency market. Our approach, employing cryptocurrency price data from 9 November 2017 to 31 August 2022 for training and 1 September 2022 to 1 December 2023 for testing, demonstrates a substantial improvement over traditional pair trading strategies. In particular, models trained with HRHP signals realized a 51.42% surge in profitability, while those trained with LRLP signals significantly mitigated risk, marked by a 73.24% reduction in the MDD. This innovative method marks a significant advancement in cryptocurrency pair trading strategies, offering traders a powerful and refined tool for optimizing their trading decisions. Full article
(This article belongs to the Special Issue Advances in Financial Mathematics and Risk Management)
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10 pages, 268 KiB  
Article
Optimal Investment of Merton Model for Multiple Investors with Frictions
by Souhail Chebbi and Senda Ounaies
Mathematics 2023, 11(13), 2873; https://doi.org/10.3390/math11132873 - 27 Jun 2023
Viewed by 643
Abstract
We investigate the classical optimal investment problem of the Merton model in a discrete time with market friction due to loss of wealth in trading. We consider the case of a finite number of investors, with the friction for each investor represented by [...] Read more.
We investigate the classical optimal investment problem of the Merton model in a discrete time with market friction due to loss of wealth in trading. We consider the case of a finite number of investors, with the friction for each investor represented by a convex penalty function. This model cover the transaction costs and liquidity models studied previously in the literature. We suppose that each investor maximizes their utility function over all controls that keep the value of the portfolio after liquidation non-negative. In the main results of this paper, we prove the existence of an optimal strategy of investment by using a new approach based on the formulation of an equivalent general equilibrium economy model via constructing a truncated economy, and the optimal strategy is obtained using a classical argument of limits. Full article
(This article belongs to the Special Issue Advances in Financial Mathematics and Risk Management)
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