arXiv - QuantFin - Risk Management最新文献

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A note on continuity and consistency of measures of risk and variability 关于风险和变异性测量的连续性和一致性的说明
arXiv - QuantFin - Risk Management Pub Date : 2024-05-16 DOI: arxiv-2405.09766
Niushan Gao, Foivos Xanthos
{"title":"A note on continuity and consistency of measures of risk and variability","authors":"Niushan Gao, Foivos Xanthos","doi":"arxiv-2405.09766","DOIUrl":"https://doi.org/arxiv-2405.09766","url":null,"abstract":"In this short note, we show that every convex, order bounded above functional\u0000on a Banach lattice is automatically norm continuous. This improves a result in\u0000cite{RS06} and applies to many deviation and variability measures. We also\u0000show that an order-continuous, law-invariant functional on an Orlicz space is\u0000strongly consistent everywhere, extending a result in cite{KSZ14}.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141062133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometric BSDEs 几何 BSDE
arXiv - QuantFin - Risk Management Pub Date : 2024-05-15 DOI: arxiv-2405.09260
Roger J. A. Laeven, Emanuela Rosazza Gianin, Marco Zullino
{"title":"Geometric BSDEs","authors":"Roger J. A. Laeven, Emanuela Rosazza Gianin, Marco Zullino","doi":"arxiv-2405.09260","DOIUrl":"https://doi.org/arxiv-2405.09260","url":null,"abstract":"We introduce and develop the concepts of Geometric Backward Stochastic\u0000Differential Equations (GBSDEs, for short) and two-driver BSDEs. We demonstrate\u0000their natural suitability for modeling dynamic return risk measures. We\u0000characterize a broad spectrum of associated BSDEs with drivers exhibiting\u0000growth rates involving terms of the form $y|ln(y)|+|z|^2/y$. We investigate\u0000the existence, regularity, uniqueness, and stability of solutions for these\u0000BSDEs and related two-driver BSDEs, considering both bounded and unbounded\u0000coefficients and terminal conditions. Furthermore, we present a GBSDE framework\u0000for representing the dynamics of (robust) $L^{p}$-norms and related risk\u0000measures.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"29 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141061988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimizing Deep Reinforcement Learning for American Put Option Hedging 优化美式看跌期权对冲的深度强化学习
arXiv - QuantFin - Risk Management Pub Date : 2024-05-14 DOI: arxiv-2405.08602
Reilly Pickard, F. Wredenhagen, Y. Lawryshyn
{"title":"Optimizing Deep Reinforcement Learning for American Put Option Hedging","authors":"Reilly Pickard, F. Wredenhagen, Y. Lawryshyn","doi":"arxiv-2405.08602","DOIUrl":"https://doi.org/arxiv-2405.08602","url":null,"abstract":"This paper contributes to the existing literature on hedging American options\u0000with Deep Reinforcement Learning (DRL). The study first investigates\u0000hyperparameter impact on hedging performance, considering learning rates,\u0000training episodes, neural network architectures, training steps, and\u0000transaction cost penalty functions. Results highlight the importance of\u0000avoiding certain combinations, such as high learning rates with a high number\u0000of training episodes or low learning rates with few training episodes and\u0000emphasize the significance of utilizing moderate values for optimal outcomes.\u0000Additionally, the paper warns against excessive training steps to prevent\u0000instability and demonstrates the superiority of a quadratic transaction cost\u0000penalty function over a linear version. This study then expands upon the work\u0000of Pickard et al. (2024), who utilize a Chebyshev interpolation option pricing\u0000method to train DRL agents with market calibrated stochastic volatility models.\u0000While the results of Pickard et al. (2024) showed that these DRL agents achieve\u0000satisfactory performance on empirical asset paths, this study introduces a\u0000novel approach where new agents at weekly intervals to newly calibrated\u0000stochastic volatility models. Results show DRL agents re-trained using weekly\u0000market data surpass the performance of those trained solely on the sale date.\u0000Furthermore, the paper demonstrates that both single-train and weekly-train DRL\u0000agents outperform the Black-Scholes Delta method at transaction costs of 1% and\u00003%. This practical relevance suggests that practitioners can leverage readily\u0000available market data to train DRL agents for effective hedging of options in\u0000their portfolios.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141061955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coherent Risk Measure on $L^0$: NA Condition, Pricing and Dual Representation $L^0$上的相干风险度量:NA 条件、定价和二元表示法
arXiv - QuantFin - Risk Management Pub Date : 2024-05-10 DOI: arxiv-2405.06764
Emmanuel Lepinette, Duc Thinh Vu
{"title":"Coherent Risk Measure on $L^0$: NA Condition, Pricing and Dual Representation","authors":"Emmanuel Lepinette, Duc Thinh Vu","doi":"arxiv-2405.06764","DOIUrl":"https://doi.org/arxiv-2405.06764","url":null,"abstract":"The NA condition is one of the pillars supporting the classical theory of\u0000financial mathematics. We revisit this condition for financial market models\u0000where a dynamic risk-measure defined on $L^0$ is fixed to characterize the\u0000family of acceptable wealths that play the role of non negative financial\u0000positions. We provide in this setting a new version of the fundamental theorem\u0000of asset pricing and we deduce a dual characterization of the super-hedging\u0000prices (called risk-hedging prices) of a European option. Moreover, we show\u0000that the set of all risk-hedging prices is closed under NA. At last, we provide\u0000a dual representation of the risk-measure on $L^0$ under some conditions.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Large Language Model in Financial Regulatory Interpretation 金融监管解释中的大语言模型
arXiv - QuantFin - Risk Management Pub Date : 2024-05-10 DOI: arxiv-2405.06808
Zhiyu Cao, Zachary Feinstein
{"title":"Large Language Model in Financial Regulatory Interpretation","authors":"Zhiyu Cao, Zachary Feinstein","doi":"arxiv-2405.06808","DOIUrl":"https://doi.org/arxiv-2405.06808","url":null,"abstract":"This study explores the innovative use of Large Language Models (LLMs) as\u0000analytical tools for interpreting complex financial regulations. The primary\u0000objective is to design effective prompts that guide LLMs in distilling verbose\u0000and intricate regulatory texts, such as the Basel III capital requirement\u0000regulations, into a concise mathematical framework that can be subsequently\u0000translated into actionable code. This novel approach aims to streamline the\u0000implementation of regulatory mandates within the financial reporting and risk\u0000management systems of global banking institutions. A case study was conducted\u0000to assess the performance of various LLMs, demonstrating that GPT-4 outperforms\u0000other models in processing and collecting necessary information, as well as\u0000executing mathematical calculations. The case study utilized numerical\u0000simulations with asset holdings -- including fixed income, equities, currency\u0000pairs, and commodities -- to demonstrate how LLMs can effectively implement the\u0000Basel III capital adequacy requirements.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hedge Error Analysis In Black Scholes Option Pricing Model: An Asymptotic Approach Towards Finite Difference 布莱克-斯科尔斯期权定价模型中的对冲误差分析:迈向有限差分的渐近方法
arXiv - QuantFin - Risk Management Pub Date : 2024-05-05 DOI: arxiv-2405.02919
Agni Rakshit, Gautam Bandyopadhyay, Tanujit Chakraborty
{"title":"Hedge Error Analysis In Black Scholes Option Pricing Model: An Asymptotic Approach Towards Finite Difference","authors":"Agni Rakshit, Gautam Bandyopadhyay, Tanujit Chakraborty","doi":"arxiv-2405.02919","DOIUrl":"https://doi.org/arxiv-2405.02919","url":null,"abstract":"The Black-Scholes option pricing model remains a cornerstone in financial\u0000mathematics, yet its application is often challenged by the need for accurate\u0000hedging strategies, especially in dynamic market environments. This paper\u0000presents a rigorous analysis of hedge errors within the Black-Scholes\u0000framework, focusing on the efficacy of finite difference techniques in\u0000calculating option sensitivities. Employing an asymptotic approach, we\u0000investigate the behavior of hedge errors under various market conditions,\u0000emphasizing the implications for risk management and portfolio optimization.\u0000Through theoretical analysis and numerical simulations, we demonstrate the\u0000effectiveness of our proposed method in reducing hedge errors and enhancing the\u0000robustness of option pricing models. Our findings provide valuable insights\u0000into improving the accuracy of hedging strategies and advancing the\u0000understanding of option pricing in financial markets.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938299","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Explainable Risk Classification in Financial Reports 财务报告中可解释的风险分类
arXiv - QuantFin - Risk Management Pub Date : 2024-05-03 DOI: arxiv-2405.01881
Xue Wen Tan, Stanley Kok
{"title":"Explainable Risk Classification in Financial Reports","authors":"Xue Wen Tan, Stanley Kok","doi":"arxiv-2405.01881","DOIUrl":"https://doi.org/arxiv-2405.01881","url":null,"abstract":"Every publicly traded company in the US is required to file an annual 10-K\u0000financial report, which contains a wealth of information about the company. In\u0000this paper, we propose an explainable deep-learning model, called FinBERT-XRC,\u0000that takes a 10-K report as input, and automatically assesses the post-event\u0000return volatility risk of its associated company. In contrast to previous\u0000systems, our proposed model simultaneously offers explanations of its\u0000classification decision at three different levels: the word, sentence, and\u0000corpus levels. By doing so, our model provides a comprehensive interpretation\u0000of its prediction to end users. This is particularly important in financial\u0000domains, where the transparency and accountability of algorithmic predictions\u0000play a vital role in their application to decision-making processes. Aside from\u0000its novel interpretability, our model surpasses the state of the art in\u0000predictive accuracy in experiments on a large real-world dataset of 10-K\u0000reports spanning six years.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Backtesting Expected Shortfall: Accounting for both duration and severity with bivariate orthogonal polynomials 回测预期亏损:利用二元正交多项式计算持续时间和严重程度
arXiv - QuantFin - Risk Management Pub Date : 2024-05-03 DOI: arxiv-2405.02012
Sullivan Hué, Christophe Hurlin, Yang Lu
{"title":"Backtesting Expected Shortfall: Accounting for both duration and severity with bivariate orthogonal polynomials","authors":"Sullivan Hué, Christophe Hurlin, Yang Lu","doi":"arxiv-2405.02012","DOIUrl":"https://doi.org/arxiv-2405.02012","url":null,"abstract":"We propose an original two-part, duration-severity approach for backtesting\u0000Expected Shortfall (ES). While Probability Integral Transform (PIT) based ES\u0000backtests have gained popularity, they have yet to allow for separate testing\u0000of the frequency and severity of Value-at-Risk (VaR) violations. This is a\u0000crucial aspect, as ES measures the average loss in the event of such\u0000violations. To overcome this limitation, we introduce a backtesting framework\u0000that relies on the sequence of inter-violation durations and the sequence of\u0000severities in case of violations. By leveraging the theory of (bivariate)\u0000orthogonal polynomials, we derive orthogonal moment conditions satisfied by\u0000these two sequences. Our approach includes a straightforward, model-free Wald\u0000test, which encompasses various unconditional and conditional coverage\u0000backtests for both VaR and ES. This test aids in identifying any mis-specified\u0000components of the internal model used by banks to forecast ES. Moreover, it can\u0000be extended to analyze other systemic risk measures such as Marginal Expected\u0000Shortfall. Simulation experiments indicate that our test exhibits good finite\u0000sample properties for realistic sample sizes. Through application to two stock\u0000indices, we demonstrate how our methodology provides insights into the reasons\u0000for rejections in testing ES validity.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"212 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140938297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some properties of Euler capital allocation 欧拉资本分配的一些特性
arXiv - QuantFin - Risk Management Pub Date : 2024-05-01 DOI: arxiv-2405.00606
Lars Holden
{"title":"Some properties of Euler capital allocation","authors":"Lars Holden","doi":"arxiv-2405.00606","DOIUrl":"https://doi.org/arxiv-2405.00606","url":null,"abstract":"The paper discusses capital allocation using the Euler formula and focuses on\u0000the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new\u0000results connected to this capital allocation is known. Two examples illustrate\u0000that capital allocation with VaR is not monotonous which may be surprising\u0000since VaR is monotonous. A third example illustrates why the same risk measure\u0000should be used in capital allocation as in the evaluation of the total\u0000portfolio. We show how simulation may be used in order to estimate the expected\u0000Return on risk adjusted capital in the commitment period of an asset. Finally,\u0000we show how Markov chain Monte Carlo may be used in the estimation of the\u0000capital allocation.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"108 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140830461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Innovative Application of Artificial Intelligence Technology in Bank Credit Risk Management 人工智能技术在银行信贷风险管理中的创新应用
arXiv - QuantFin - Risk Management Pub Date : 2024-04-28 DOI: arxiv-2404.18183
Shuochen Bi, Wenqing Bao
{"title":"Innovative Application of Artificial Intelligence Technology in Bank Credit Risk Management","authors":"Shuochen Bi, Wenqing Bao","doi":"arxiv-2404.18183","DOIUrl":"https://doi.org/arxiv-2404.18183","url":null,"abstract":"With the rapid growth of technology, especially the widespread application of\u0000artificial intelligence (AI) technology, the risk management level of\u0000commercial banks is constantly reaching new heights. In the current wave of\u0000digitalization, AI has become a key driving force for the strategic\u0000transformation of financial institutions, especially the banking industry. For\u0000commercial banks, the stability and safety of asset quality are crucial, which\u0000directly relates to the long-term stable growth of the bank. Among them, credit\u0000risk management is particularly core because it involves the flow of a large\u0000amount of funds and the accuracy of credit decisions. Therefore, establishing a\u0000scientific and effective credit risk decision-making mechanism is of great\u0000strategic significance for commercial banks. In this context, the innovative\u0000application of AI technology has brought revolutionary changes to bank credit\u0000risk management. Through deep learning and big data analysis, AI can accurately\u0000evaluate the credit status of borrowers, timely identify potential risks, and\u0000provide banks with more accurate and comprehensive credit decision support. At\u0000the same time, AI can also achieve realtime monitoring and early warning,\u0000helping banks intervene before risks occur and reduce losses.","PeriodicalId":501128,"journal":{"name":"arXiv - QuantFin - Risk Management","volume":"155 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140830700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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