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Dynamic Asset Pricing in a Unified Bachelier–Black–Scholes–Merton Model 巴切利耶-布莱克-斯科尔斯-默顿统一模型中的动态资产定价
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-27 DOI: 10.3390/risks12090136
W. Brent Lindquist, Svetlozar T. Rachev, Jagdish Gnawali, Frank J. Fabozzi
We present a unified, market-complete model that integrates both Bachelier and Black–Scholes–Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that experiences the possibility of negative security prices or riskless rates. Unlike the classical Black–Scholes–Merton, we show that option pricing in the unified model differs depending on whether the replicating, self-financing portfolio uses riskless bonds or a single riskless bank account. We derive option price formulas and extend our analysis to the term structure of interest rates by deriving the pricing of zero-coupon bonds, forward contracts, and futures contracts. We identify a necessary condition for the unified model to support a perpetual derivative. Discrete binomial pricing under the unified model is also developed. In every scenario analyzed, we show that the unified model simplifies to the standard Black–Scholes–Merton pricing under specific limits and provides pricing in the Bachelier model limit. We note that the Bachelier limit within the unified model allows for positive riskless rates. The unified model prompts us to speculate on the possibility of a mixed multiplicative and additive deflator model for risk-neutral option pricing.
我们提出了一个统一的、市场完备的模型,它整合了巴切利耶(Bachelier)和布莱克-斯科尔斯-默顿(Black-Scholes-Merton)两种资产定价框架。该模型允许在一个统一的框架内,研究一个可能出现负证券价格或无风险利率的自然世界中的资产定价。与经典的布莱克-斯科尔斯-默顿(Black-Scholes-Merton)模型不同的是,我们证明了统一模型中的期权定价因复制、自融投资组合使用无风险债券还是单一无风险银行账户而不同。我们推导出期权价格公式,并通过推导零息债券、远期合约和期货合约的定价,将分析扩展到利率的期限结构。我们确定了统一模型支持永续衍生品的必要条件。统一模型下的离散二项式定价也得到了发展。在分析的每种情况下,我们都表明统一模型在特定限制下简化为标准的布莱克-斯科尔斯-默顿定价,并在巴切利耶模型限制下提供定价。我们注意到,统一模型中的巴歇尔极限允许无风险利率为正值。统一模型促使我们推测风险中性期权定价的乘法和加法混合缩减模型的可能性。
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引用次数: 0
Financial Risk Management in Healthcare in the Provision of High-Tech Medical Assistance for Sustainable Development: Evidence from Russia 为可持续发展提供高科技医疗援助中的医疗财务风险管理:来自俄罗斯的证据
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-26 DOI: 10.3390/risks12090134
Abdula M. Chililov
The research determines the level of financial risk in the Russian healthcare system and identifies prospects for improving the current Russian practice of financial risk management in healthcare when providing high-tech medical care for sustainable development (using Russia as an example). The author summarizes the advanced experience of the top 20 largest healthcare organizations in Russia by revenue in 2022. Based on this experience, the author developed an SEM model of the financial risks in healthcare during the provision of high-tech medical care in Russia from a sustainable development perspective. The theoretical significance of the developed model lies in uncovering the previously unknown causal relationships between the implementation of the ICT, sustainable development support, and financial risks in healthcare. The model reveals a new market dimension of financial risks for healthcare organizations in Russia. The main conclusion is that implementing the ICT and support for sustainable development helps to reduce the financial risks in healthcare. The identified potential for reducing financial risks in providing high-tech medical care in Russia until 2026 is practically significant. This prospect can be practically applied as a roadmap for the digital modernization and sustainable development of healthcare until 2026, enhancing the state healthcare policy in Russia. The established systemic relationship between ICT implementation, sustainable development support, and financial risks in healthcare is of managerial importance because it will increase the predictability of the financial risks in the market dimension of healthcare in Russia. The newly developed approach to risk management in healthcare during the provision of high-tech medical care in Russia has expanded the instrumental framework of risk management for healthcare organizations in Russia and revealed further opportunities for improving its efficiency.
该研究确定了俄罗斯医疗保健系统的财务风险水平,并指出了在提供高科技医疗保健以促进可持续发展时,改善俄罗斯当前医疗保健财务风险管理实践的前景(以俄罗斯为例)。作者总结了 2022 年俄罗斯收入排名前 20 位的最大医疗机构的先进经验。在此经验的基础上,作者从可持续发展的角度出发,建立了俄罗斯提供高科技医疗服务期间医疗财务风险的 SEM 模型。该模型的理论意义在于揭示了信息和通信技术的实施、可持续发展支持和医疗财务风险之间之前未知的因果关系。该模型揭示了俄罗斯医疗机构财务风险的新市场维度。主要结论是,实施信息和通信技术以及支持可持续发展有助于降低医疗保健领域的财务风险。在 2026 年之前,俄罗斯在提供高科技医疗服务方面所发现的降低财务风险的潜力实际上是巨大的。这一前景可作为 2026 年前医疗保健数字化现代化和可持续发展的路线图,加强俄罗斯的国家医疗保健政策。信息和通信技术的实施、可持续发展的支持以及医疗保健领域的财务风险之间已建立的系统关系具有重要的管理意义,因为这将提高俄罗斯医疗保健市场财务风险的可预测性。在俄罗斯提供高科技医疗服务期间新开发的医疗风险管理方法扩大了俄罗斯医疗机构风险管理的工具框架,并揭示了提高其效率的更多机会。
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引用次数: 0
Using the Fuzzy Version of the Pearl’s Algorithm for Environmental Risk Assessment Tasks 在环境风险评估任务中使用珀尔算法的模糊版本
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-26 DOI: 10.3390/risks12090135
Oleg Uzhga-Rebrov
In risk assessment, numerous subfactors influence the probabilities of the main factors. These main factors reflect adverse outcomes, which are essential in risk assessment. A Bayesian network can model the entire set of subfactors and their interconnections. To assess the probabilities of all possible states of the main factors (adverse consequences), complete information about the probabilities of all relevant subfactor states in the network nodes must be utilized. This is a typical task of probabilistic inference. The algorithm proposed by J. Pearl is widely used for point estimates of relevant probabilities. However, in many practical problems, including environmental risk assessment, it is not possible to assign crisp probabilities for relevant events due to the lack of sufficient statistical data. In such situations, expert assignment of probabilities is widely used. Uncertainty in expert assessments can be successfully modeled using triangular fuzzy numbers. That is why this article proposes a fuzzy version of this algorithm, which can solve the problem of probabilistic inference on a Bayesian network when the initial probability values are given as triangular fuzzy numbers.
在风险评估中,许多子因素会影响主要因素的概率。这些主要因素反映了不利的结果,在风险评估中至关重要。贝叶斯网络可以模拟整套子因素及其相互联系。要评估主要因素所有可能状态(不利后果)的概率,就必须利用网络节点中所有相关子因素状态概率的完整信息。这是概率推理的典型任务。J. Pearl 提出的算法被广泛用于相关概率的点估计。然而,在包括环境风险评估在内的许多实际问题中,由于缺乏足够的统计数据,无法为相关事件分配明确的概率。在这种情况下,专家指定概率的方法被广泛使用。专家评估中的不确定性可以使用三角模糊数成功建模。因此,本文提出了该算法的模糊版本,当初始概率值为三角模糊数时,它可以解决贝叶斯网络上的概率推理问题。
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引用次数: 0
Digital Risk and Financial Inclusion: Balance between Auxiliary Innovation and Protecting Digital Banking Customers 数字风险与普惠金融:辅助创新与保护数字银行客户之间的平衡
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-22 DOI: 10.3390/risks12080133
Faraz Ahmed, Arsalan Hussain, Sajjad Nawaz Khan, Arsalan Haneef Malik, Muhammad Asim, Sadique Ahmad, Mohammed El-Affendi
The digital economy’s rise has fueled the growth of digital banking, but concerns linger about customer protection. While offering advantages like financial inclusion, this shift disrupts traditional banking experiences and introduces potential risks. Customer safety in this new landscape is paramount, as dissatisfied users may switch providers and institutions risk reputational damage. To remain competitive, financial institutions must prioritize a secure experience that aligns with customer expectations. This study investigates five key factors influencing customer protection in Pakistan’s digital financial services. Analysis reveals all factors positively impact customer protection, with information security holding the most weight. These findings highlight the need for robust information security measures as a critical driver for the Pakistani digital banking industry’s success.
数字经济的兴起推动了数字银行的发展,但对客户保护的担忧却挥之不去。这种转变在带来金融包容性等优势的同时,也颠覆了传统的银行体验,并带来了潜在的风险。在这种新形势下,客户安全至关重要,因为不满意的用户可能会更换服务提供商,而金融机构则面临声誉受损的风险。为了保持竞争力,金融机构必须优先考虑符合客户期望的安全体验。本研究调查了影响巴基斯坦数字金融服务客户保护的五个关键因素。分析表明,所有因素都会对客户保护产生积极影响,其中信息安全的影响最大。这些发现突出表明,需要采取强有力的信息安全措施,这是巴基斯坦数字银行业取得成功的关键驱动力。
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引用次数: 0
Quick Introduction into the General Framework of Portfolio Theory 投资组合理论总体框架快速入门
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-19 DOI: 10.3390/risks12080132
Philipp Kreins, Stanislaus Maier-Paape, Qiji Jim Zhu
This survey offers a succinct overview of the General Framework of Portfolio Theory (GFPT), consolidating Markowitz portfolio theory, the growth optimal portfolio theory, and the theory of risk measures. Central to this framework is the use of convex analysis and duality, reflecting the concavity of reward functions and the convexity of risk measures due to diversification effects. Furthermore, practical considerations, such as managing multiple risks in bank balance sheets, have expanded the theory to encompass vector risk analysis. The goal of this survey is to provide readers with a concise tour of the GFPT’s key concepts and practical applications without delving into excessive technicalities. Instead, it directs interested readers to the comprehensive monograph of Maier-Paape, Júdice, Platen, and Zhu (2023) for detailed proofs and further exploration.
本概览简明扼要地概述了投资组合理论的一般框架(GFPT),综合了马科维茨投资组合理论、增长最优投资组合理论和风险度量理论。该框架的核心是使用凸分析和二元性,反映了报酬函数的凹性和由于多样化效应导致的风险度量的凸性。此外,银行资产负债表中多重风险的管理等实际考虑因素也将这一理论扩展到矢量风险分析。本概览旨在为读者提供 GFPT 关键概念和实际应用的简要介绍,而不涉及过多的技术细节。相反,它建议感兴趣的读者参阅 Maier-Paape、Jºdice、Platen 和 Zhu(2023 年)的综合专著,以了解详细的证明和进一步的探索。
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引用次数: 0
Trading Option Portfolios Using Expected Profit and Expected Loss Metrics 使用预期利润和预期损失指标交易期权组合
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-16 DOI: 10.3390/risks12080130
Johannes Hendrik Venter, Pieter Juriaan de Jongh
When trading in the call and put contracts of option chains, the portfolios of strikes must be selected. The trader must also decide whether to take long or short positions at the selected strikes. Dynamic strategies for making these decisions are discussed in this paper. On any day, the strategies estimate the drift and volatility parameters of the future probability distribution of the price of the underlying asset. From this distribution, the trader can further estimate the future expected profit and expected loss that may be experienced for any portfolio of strikes of the call and put contracts. Expected profit and expected loss are the reward and risk metrics of such portfolios. An optimal portfolio can then be selected by making the reward as high as possible under the risk tolerance set by the trader. Extensive back-testing applications to historical data of SPY option chains illustrate the effectiveness of these strategies, particularly when dealing with short-term expiry options and when acting as a seller of put and call options.
在进行期权链的看涨和看跌合约交易时,必须选择行权价组合。交易者还必须决定是在所选行权价上建立多头头寸还是空头头寸。本文讨论了做出这些决定的动态策略。在任何一天,这些策略都会估计标的资产价格未来概率分布的漂移和波动参数。根据这一分布,交易者可以进一步估算出任何看涨和看跌合约行权价组合的未来预期利润和预期损失。预期利润和预期损失是此类投资组合的收益和风险指标。然后,在交易者设定的风险承受能力范围内,尽可能提高收益,从而选出最佳组合。对 SPY 期权链历史数据的广泛回溯测试应用说明了这些策略的有效性,尤其是在处理短期到期期权以及作为看跌期权和看涨期权卖方时。
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引用次数: 0
A Hypothesis Test for the Long-Term Calibration in Rating Systems with Overlapping Time Windows 具有重叠时间窗口的评级系统的长期校准假设检验
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-16 DOI: 10.3390/risks12080131
Patrick Kurth, Max Nendel, Jan Streicher
We present a statistical test for the long-term calibration in rating systems that can deal with overlapping time windows as required by the guidelines of the European Banking Authority (EBA), which apply to major financial institutions in the European System. In accordance with regulation, rating systems are to be calibrated and validated with respect to the long-run default rate. The consideration of one-year default rates on a quarterly basis leads to correlation effects which drastically influence the variance of the long-run default rate. In a first step, we show that the long-run default rate is approximately normally distributed. We then perform a detailed analysis of the correlation effects caused by the overlapping time windows and solve the problem of an unknown distribution of default probabilities.
我们根据欧洲银行管理局(EBA)适用于欧洲体系内主要金融机构的指导方针的要求,提出了一种可处理重叠时间窗口的评级系统长期校准统计检验方法。根据规定,评级系统应根据长期违约率进行校准和验证。按季度计算一年期违约率会产生相关效应,从而极大地影响长期违约率的方差。首先,我们证明长期违约率近似于正态分布。然后,我们详细分析了时间窗口重叠造成的相关效应,并解决了违约概率分布未知的问题。
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引用次数: 0
Uncovering the Impact of Digitalization on the Performance of Insurance Distribution 揭示数字化对保险分销绩效的影响
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-14 DOI: 10.3390/risks12080129
Thomas Köhne, Marija Köhne
This study explores the impact of digitalization on the performance of insurance intermediaries, who still play a key role in the revenue generation of insurance companies. By using an interdisciplinary approach, this study is the first to examine the extent and type of digital technologies used by intermediaries, their impact on performance with respect to revenue, productivity, and interaction with clients, and the role of digital stress in this context. The research is exploratory, which is why a research model with many variables and relationships between them was built. The quantitative multivariate method of Partial Least Squares Structural Equation Modeling (PLS-SEM) was applied as it allows the simultaneous estimation of models with multiple dependent variables and their interconnections. In this context, data collected in 2022 from 671 insurance intermediaries from Germany, whose demographic distribution in the sample is representative of the German insurance market, were analyzed. The findings show that insurance intermediaries use many digital technologies compared to other industries, particularly those that create added value in their daily work. Empirical evidence also showed that using digital technologies positively affects performance but induces perceived digital stress. As this study reveals, the latter diminishes the positive effects on performance. Technology optimism, technological skills, and organizational support reduce the severity of stress. This means that insurers can start here to support intermediaries to mitigate the performance-limiting effects. This study adds to the insurance literature by providing a broader understanding of how insurance intermediaries deal with digitalization and what it means for their performance.
本研究探讨了数字化对保险中介机构绩效的影响,保险中介机构在保险公司的创收过程中仍然发挥着关键作用。通过采用跨学科方法,本研究首次考察了中介机构使用数字技术的程度和类型,其对收入、生产率和与客户互动方面的绩效的影响,以及数字压力在此背景下的作用。这项研究是探索性的,因此建立了一个包含多个变量和变量间关系的研究模型。研究采用了部分最小二乘法结构方程建模(PLS-SEM)的定量多元方法,因为这种方法可以同时估计多个因变量及其相互关系的模型。在此背景下,对 2022 年从德国 671 家保险中介机构收集的数据进行了分析,样本中的人口分布代表了德国保险市场。研究结果表明,与其他行业相比,保险中介使用了许多数字技术,尤其是那些能在日常工作中创造附加值的技术。实证证据还表明,使用数字技术会对业绩产生积极影响,但也会引发感知到的数字压力。本研究表明,后者会削弱对绩效的积极影响。技术乐观主义、技术技能和组织支持会降低压力的严重程度。这意味着保险公司可以从这里入手,为中介提供支持,以减轻绩效限制效应。本研究对保险中介机构如何应对数字化以及数字化对其绩效的影响提供了更广泛的理解,为保险文献增添了新的内容。
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引用次数: 0
European Non-Performing Exposures (NPEs) and Climate-Related Risks: Country Dimensions 欧洲不良风险敞口(NPEs)与气候相关风险:国家层面
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-13 DOI: 10.3390/risks12080128
Elisa Di Febo, Eliana Angelini, Tu Le
The EU faces two economic challenges: managing non-performing exposures (NPEs) and climate change. This paper analyzes the relationship between the NPEs of domestic banking groups and climate risks, including macroeconomic variables such as the GDP growth rate, unemployment rate (UnEmp), and the voice and accountability percentile (VCA) and the interaction variable between the GHG and the Rule of Law Percentile (GhGRLP). The estimation uses ordinary least squares with time-fixed and individual effects. Physical and transition risks significantly affect NPEs, showing that both adverse climate events and the transition to a low-carbon economy worsen the financial situation of European banking institutions. The analysis also revealed that increased levels of VCA lead to a rise in NPEs, while an increase in GhGRLP reduces NPEs. In contrast, financial institutions tend to recognize and report NPEs more accurately in contexts with greater transparency and accountability. In comparison, UnEmp negatively affects NPEs, suggesting that economic support measures during high unemployment can reduce NPEs in the subsequent period. In conclusion, climate risk management represents a crucial challenge for the financial stability of banking institutions. Policymakers and financial institutions must continue to develop and implement climate change mitigation and adaptation strategies to preserve financial system stability amid growing climate uncertainties.
欧盟面临着两大经济挑战:管理不良风险敞口(NPEs)和气候变化。本文分析了国内银行集团的 NPEs 与气候风险之间的关系,其中包括 GDP 增长率、失业率(UnEmp)、发言权和问责制百分位数(VCA)等宏观经济变量,以及温室气体与法治百分位数(GhGRLP)之间的交互变量。采用普通最小二乘法对时间固定效应和个体效应进行估计。有形风险和转型风险对净资产收益率有重大影响,表明不利的气候事件和向低碳经济的转型都会恶化欧洲银行机构的财务状况。分析还显示,脆弱性和适应性水平的提高会导致净净值利润率上升,而 GhGRLP 的提高则会降低净净值利润率。相比之下,在透明度和问责制更高的情况下,金融机构往往能更准确地识别和报告 NPE。相比之下,"失业率"(UnEmp)对 NPEs 有负面影响,这表明高失业率期间的经济支持措施可在随后的时期减少 NPEs。总之,气候风险管理是对银行机构金融稳定性的一项重要挑战。政策制定者和金融机构必须继续制定和实施气候变化减缓和适应战略,以在气候不确定性不断增加的情况下维护金融体系的稳定。
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引用次数: 0
The Impact of Research and Development Investment on the Performance of Portuguese Companies 研发投资对葡萄牙公司业绩的影响
IF 2.2 Q2 BUSINESS, FINANCE Pub Date : 2024-08-07 DOI: 10.3390/risks12080126
Ana Santos, Ana Bandeira, Patrícia Ramos
This study investigates the impact of Research and Development (R&D) investment on the performance of Portuguese companies, specifically addressing the gap in understanding how R&D influences a company’s value and performance. We employ a dynamic panel data model estimated using the Generalized Method of Moments (GMM) to account for potential endogeneity issues. This approach allows us to analyze the influence of R&D investment on the Return on Operating Assets (ROA) for Portuguese companies with significant R&D investments between 2012 and 2019. The analysis reveals that while R&D investment itself may not have a statistically significant short-term impact on ROA, lagged financial performance, leverage, asset turnover ratio, and accounts payable turnover all demonstrate a statistically significant relationship with the dependent variable.
本研究调查了研究与开发(R&D)投资对葡萄牙公司业绩的影响,特别是填补了研究与开发如何影响公司价值和业绩方面的空白。我们采用广义矩法(GMM)估算动态面板数据模型,以考虑潜在的内生性问题。通过这种方法,我们可以分析研发投资对 2012 年至 2019 年期间有大量研发投资的葡萄牙公司的运营资产回报率(ROA)的影响。分析结果表明,虽然研发投资本身对运营资产收益率的短期影响在统计上并不显著,但滞后财务业绩、杠杆率、资产周转率和应付账款周转率都与因变量存在显著的统计关系。
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引用次数: 0
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