多变量极值理论在银行操作风险度量中的运用

针对银行操作风险损失分布的厚尾性和损失事件之间的尾部相依性,首先用单变量极值理论建立了单个损失事件计量模型,然后用多变量极值的连接函数反映了损失事件之间的尾部相依性,避免了计量中对银行操作风险的低估和对监管资本要求高估.     

基于VaR和集中度约束的贷款组合优化模型

资产负债管理是把资产与负债组合视为有机整体,协调流动性、安全性和赢利性,本文通过资产的集中度约束把银行资产合理分配在不同行业中,有效降低银行资产集中度风险,通过能反映银行风险承受能力的VaR约束控制了贷款组合风险,应用实例的结果表明,本模型能够谋求"三性"的最佳配置,有效降低银行经营过程中的集中度风险和流动性风险,并实...     

网络结构、资本缓冲与银行系统性风险传染效应——来自2007~2017年中国14个上市商业银行数据

银行体系稳健运行对国民经济健康发展具有重要意义。选取2007~2017年中国14个上市商业银行数据,利用债务矩阵构建银行网络,运用无残差完全分解模型将其分解为网络结构和资本缓冲两个因素,对我国银行系统性风险传染效应研究。结果表明:网络结构与银行系统性风险存在复杂的关联性,而资本缓冲与银行系统性风险有显著负相关关系;在金融危机期间,网络结构是诱导银行系统性风险波动的决定性因素,资本缓冲对降低银行系统性风险有重要作用。此外国有商业银行与其他银行债务关系更为紧密,对系统性金融风险贡献较大,中国银行处于网络结构中重要位置,中国工商银行和中国建设银行处于次重要位置。该结果为资本监管政策和宏观审慎政策有效实施提供了理论依据。     

广义双曲线分布族下的动态系统性风险研究

为捕捉金融资产收益率尖峰厚尾和非对称特征,本文首次在广义双曲线分布族下对我国银行系统性风险进行动态化测量,并对条件风险价值方法在我国银行系统性风险测量的适用性进行检验。通过返回检验表明,t分布下的动态系统性风险测度未能达到准确标准,双曲线分布下的条件风险价值相对其他分布能更准确的刻画我国银行系统性风险;通过对各银行△CoVaR排序发现,国有银行系统性风险贡献高于股份制商业银行,但各银行的系统重要性排名会随着时间不断发生改变.     

运用Student T-Copula的极值理论度量我国商业银行的操作风险

银行操作风险损失数据具有厚尾性,同时不同损失事件之间具有相关性.依据巴塞尔委员会对操作风险损失类型的界定,利用从公开渠道收集的我国商业银行内部欺诈和外部欺诈损失数据.运用基于Studentt-Copula的极值理论研究我国商业银行面临的操作风险,得出极值理论的POT模型能够有效地捕捉损失厚尾性,计算出的VaR比较准确,只是不同的损失数据对阈值的选取存在一定差异.进一步研究表明采用Studentt-Copula刻画两种损失事件之间的相关性,能够有效地降低VaR,降幅甚至高达40%以上.既可以为银行节省大量经济资本,有利于日常经营,又可以准确计提经济资本,有利于监管当局的监管.     

基于银行-资产二分网络的银行间风险传染研究

银行之间越来越紧密的联系形成了复杂的网络,使得风险能够在网络中迅速传染,造成大规模的级联失效.目前已有的大多数研究都基于银行间资产负债表关联来分析银行间风险传染,而银行间持有相同资产的关联作为一种重要的银行间风险传染的渠道,往往没有引起足够的重视.基于持有相同资产关联,建立银行-资产二分网络研究银行间风险传染的机理特征.首先设计了风险传染模型,接着收集了244家主要银行2016年的资产价值数据作为模型仿真的基础.仿真结果表明银行间持有相同资产关联会造成银行间风险传染,继而引发大规模的银行级联破产,其危害程度和传染速度随着冲击大小和溢出效应强度的增加而增加.同时,按照资产占比将244家银行聚成5类并分析各类银行的风险特点.分析对监管部门进行合理分配监管资源具有一定的参考意义.     

系统风险不同预期下的存款保险费率测算

将影响银行资产价值的风险因素分解为系统风险因素和银行特定风险因素,进而在系统风险因素点估计和区间估计的不同预期下测算银行存款保险费率水平,得到的费率能够反映银行资产风险随经济形势波动的变化情况。通过模拟测算了我国16家上市银行2008~2016年间特定经济形势情境下的存款保险费率水平,并在极端压力下与传统Merton费率进行了比较。得到的基本结论包括:不同年度不同银行费率对系统风险因素的敏感程度不同;经济形势尾部极端分布对费率的影响具有非对称性特点,风险极高区间对费率的贡献远大于风险极低区间;与传统的Merton费率相比,系统风险特定预期下测算的费率更契合经济形势的变化,这在存款保险制度运行初期,有利于增强基金的抗压能力。     

基于分段损失分布法和Copula的银行操作风险集成度量

多个风险单元的集成度量是银行操作风险管理的关键步骤之一。立足于操作风险的“厚尾”、“截断”性,从分段损失分布法的视角出发,探讨操作风险集成度量的模式和数值方法。首先,引入两阶段损失分布法来拟合单个风险单元边际损失分布,用双截尾分布代替传统的完整分布来刻画“高频低损”损失数据的双截断特性,利用POT模型捕获“低频高损”事件的厚尾特性。再次,基于分段建模思路,对传统度量过程中边际分布为单一、完整分布的Copula模型进行了扩展,研究边际分布为分段分布、截尾分布条件下使用Copula函数集成度量操作风险的框架和步骤,并设计了Monte Carlo模拟算法。最后,以实证分析的形式验证所构建模型。通过对中国商业银行416个操作风险损失数据的实证分析,结果表明分段分布、截尾分布能对单个风险单元边际分布有更好的拟合效果,能减小由于分布选择不当而引发的模型风险。分段度量视角下Copula函数的引入能灵活处理多个操作风险单元间的相依结构,使风险度量结果更为合理。     

银行资本管理术

近年来，随着银行金融体制改革向纵深推进，金融监管逐步与国际接轨，中国银行业正面临着对资本约束的考验和风险文化的冲击。尽管目前多家银行虽然实行了经济资本管理，但是由于理解深度不够，操作不规范，存在一些不足之处。例如，     

基于流动性风险约束的我国商业银行资产负债随机规划模型

通过以资产负债管理合理匹配银行资产、负债,可以防范银行流动性风险.为此,建立了一个带有简单补偿的两阶段多期随机规划,在满足相关政策、法规约束和流动性风险V aR随机机会约束条件下,以银行的盈利最大化为目标,对银行主要资产、负债进行动态的优化匹配.     

When q theory meets large losses risks and agency conflicts

We incorporate large losses risks into the DeM arzo et al.(2012) model of dynamic agency and the q theory of investment.The large losses risks induce losses costs and losses arising from agency conflicts during the large losses prevention process.Both of them reduce firm's value,distort investment policy and generate a deeper wedge between the marginal and average q.In addition,we study the implementation of the contract to enhance the practical utility of our model.The agent optimally manages the firm's cash flow and treats the cash reservation and credit line as the firm's financial slack,and hedges the productivity shocks and large losses shocks via futures and insurance contracts,respectively.     

When <Emphasis Type="Italic">q</Emphasis> theory meets large losses risks and agency conflicts

We incorporate large losses risks into the DeMarzo et al.(2012) model of dynamic agency and the q theory of investment. The large losses risks induce losses costs and losses arising from agency conflicts during the large losses prevention process. Both of them reduce firm’s value, distort investment policy and generate a deeper wedge between the marginal and average q. In addition, we study the implementation of the contract to enhance the practical utility of our model. The agent optimally manages the firm’s cash flow and treats the cash reservation and credit line as the firm’s financial slack, and hedges the productivity shocks and large losses shocks via futures and insurance contracts, respectively.     

Some new notions of dependence with applications in optimal allocation problems

Dependence structures of multiple risks play an important role in optimal allocation problems for insurance, quantitative risk management, and finance. However, in many existing studies on these problems, risks or losses are often assumed to be independent or comonotonic or exchangeable. In this paper, we propose several new notions of dependence to model dependent risks and give their characterizations through the probability measures or distributions of the risks or through the expectations of the transformed risks. These characterizations are related to the properties of arrangement increasing functions and the proposed notions of dependence incorporate many typical dependence structures studied in the literature for optimal allocation problems. We also develop the properties of these dependence structures. We illustrate the applications of these notions in the optimal allocation problems of deductibles and policy limits and in capital reserves problems. These applications extend many existing researches to more general dependent risks.     

Strategic financial management in a multinational financial conglomerate: A multiple goal stochastic programming approach

The paper discusses a multi-stage stochastic programming approach to the strategic financial management of a multi-company financial conglomerate. The planning system creates a comprehensive strategy which simultaneously covers a number of future scenarios within a multi-period planning horizon. Multiple conflicting goals may be specified for the group level, company level or individual business area level, and the decision maker’s preferences are allowed to change over time to reflect changing operating conditions and trade-off relationships between the goals. Special features include, among other things, full market valuation throughout the model, integrated treatment of different types of risks, explicit modelling of various types of intra-group transactions and relationships, extensive structures to deal with distressed assets and the covering of losses within the group, as well as consideration of potential portfolio effects of a diversified group structure on the cost of funding.     

供应链金融借贷市场中均衡解的存在性研究

根据博弈论的观点,构建了多层级供应链中距离核心企业层级较远的中小企业融资模型,比较了两种类型企业(高经营能力和低经营能力)的融资特点,分析了供应链上两种类型企业在是否存在区块链技术情形下融资达到均衡解的条件。研究表明,金融机构分别以企业贷款总量和企业库存订购量作为标准来判定企业类型的情形下,在区块链技术不存在时,借贷市场中的均衡解在一定条件下存在;但在区块链技术存在时,借贷市场中的均衡解总是存在。研究结果对于金融机构降低风险提供了一个新的视角。     

Optimal allocation of policy limits and deductibles in a model with mixture risks and discount factors

By maximizing the expected utility, we study the optimal allocation of policy limits and deductibles from the viewpoint of a policyholder, where the dependence structure of losses is unknown. In Cheung (2007) [K.C. Cheung, Optimal allocation of policy limits and deductibles, Insurance: Mathematics and Economics 41 (2007) 382-391], the author had considered similar problems. He supposed that a policyholder was exposed to n random losses, and the losses were general risks there, i.e., the loss on each policy was just a random variable. In this paper, the model is extended in two directions. On one hand, we assume that n policies of the n losses are effected by random environments. For each policy, the loss under a fixed environment is characterized by a random variable, so the loss on each policy is a mixture of some fundamental random variables. On the other hand, loss frequencies, which are stochastic, are also considered. Therefore, the whole model is equipped with mixture risks and discount factors. Finally, we get the orderings of the optimal allocations of policy limits and deductibles. Our conclusions also extend the main results in Hua and Cheung (2008) [L. Hua, K.C. Cheung, Stochastic orders of scalar products with applications, Insurance: Mathematics and Economics 42 (2008) 865-872].     

考虑风险关联情形的风险评估方法研究

针对多个风险之间存在关联的风险评估问题,给出了一种风险评估方法。在本文中,首先依据专家小组给出关于风险关联的评价信息,通过构建综合关联矩阵识别风险之间的影响关系,进而确定风险的层次结构;然后依据确定的可划分或不可划分的风险层次结构以及专家小组给出的风险发生的概率和风险损失,运用概率论相关知识来计算各风险值。最后,通过一个算例说明了本文提出方法的可行性和有效性。     

Utilization and maintenance in a model with scrapping

We consider a productive asset, called equipment or capital good, and we examine the properties of, as well as the interactions between, the operating policies, which are determined by its optimal utilization and maintenance, and the capital policy of scrapping, which defines the optimal time when the productive asset is retired from its current use. Starting with an abstract model and using the approach of optimal control, initially we characterize the various types of equipment by assigning to them a single total profit index, which indicates how the above policies affect the flow of operating revenues plus capital gains or losses. This index is a function of market-determined prices. So using it we then investigate how the operating and capital policies are influenced by the rate of discount, the price of new equipment, and the rise or fall of the price of new equipment relative to the value of its output. Among other interesting results, we find that the effects of these prices on the nature and interactions of optimal policies depend crucially on whether the equipment is of the usual profit making type, where output is the main source of revenue, or of the antique type, where the main source of revenue is capital gains.     

Robust equilibrium reinsurance-investment strategy for a mean–variance insurer in a model with jumps

This paper analyzes the equilibrium strategy of a robust optimal reinsurance-investment problem under the mean–variance criterion in a model with jumps for an ambiguity-averse insurer (AAI) who worries about model uncertainty. The AAI’s surplus process is assumed to follow the classical Cramér–Lundberg model, and the AAI is allowed to purchase proportional reinsurance or acquire new business and invest in a financial market to manage her risk. The financial market consists of a risk-free asset and a risky asset whose price process is described by a jump-diffusion model. By applying stochastic control theory, we establish the corresponding extended Hamilton–Jacobi–Bellman (HJB) system of equations. Furthermore, we derive both the robust equilibrium reinsurance-investment strategy and the corresponding equilibrium value function by solving the extended HJB system of equations. In addition, some special cases of our model are provided, which show that our model and results extend some existing ones in the literature. Finally, the economic implications of our findings are illustrated, and utility losses from ignoring model uncertainty, jump risks and prohibiting reinsurance are analyzed using numerical examples.     

What are the actual costs of cyber risk events?

Cyber risks are high on the business agenda of every company, but they are difficult to assess due to the absence of reliable data and thorough analyses. This paper is the first to consider a broad range of cyber risk events and actual cost data. For this purpose, we identify cyber losses from an operational risk database and analyze these with methods from statistics and actuarial science. We use the peaks-over-threshold method from extreme value theory to identify “cyber risks of daily life” and “extreme cyber risks”. Human behavior is the main source of cyber risk and cyber risks are very different compared with other risk categories. Our models can be used to yield consistent risk estimates, depending on country, industry, size, and other variables. The findings of the paper are also useful for practitioners, policymakers and regulators in improving the understanding of this new type of risk.