基于债权终止的可违约债券定价

已有实证结果表明流动性风险及其与违约风险的相关性是影响可违约债券收益率的重要因素,然而目前的研究还不能建立一种计算简便且同时包含流动性风险以及风险相关尤其是尾部相关性的定价模型。本文将流动性风险与违约风险都描述为债权终止事件驱动型的风险,从而可以利用与违约时间类似的出售时间来刻画流动性风险过程。基于债权终止事件的发生时间,本文拓展了简约模型以考虑流动性风险及风险相关性。与以往的研究相比,基于债权终止时间的模型具备诸多优势:模型简便适合大规模计算、允许时变流动性风险、包含尾部相关等较为丰富的风险相关性结构。数值算例表明,本文的模型能更好地刻画流动性风险溢价以及风险的尾部相关性对债券收益率曲线上下尾端的影响。     

可违约零息债券风险综合度量Monte Carlo方法

可违约零息债券同时面临着违约风险和市场风险(利率风险)这两类主要风险.相对于传统的不同类风险独立度量方法,也不同于割裂两类风险再进行加总或通过Copula函数关联,本文在信用风险强度定价模型的基础上,同时考虑信用风险、市场风险和两类风险之间的相关关系,建立了计算可违约零息债券综合风险VaR的Monte Carlo方法,得出同一个风险计算期下反映两类风险的损失分布和同一个某置信度的损失分布的分位点,进而能求得风险综合VaR值,这样可在同一个框架下同时捕捉可违约零息债券的两类风险,这里,给出了MonteCarlo模拟方法具体技术细节,包括违约时间和基础状态向量过程的模拟.最后运用本文的风险综合度量模型对短期融资券的综合风险进行计算,得出风险综合VaR值,并与利率风险独立度量VaR值和信用风险独立度量VaR值进行比较分析.     

可违约债券期限结构之离散模型

本文在违约强度为随机过程、违约强度与利率相关、以及无风险债券市值回收的条件下,构造了可违约债券的期限结构的离散模型。本文构造的模型属于强度模型流派。     

内生性回收率与信用风险度量研究

在信用风险模型中,外生性回收率的设定会忽略回收率对损失分布尾部的影响,而且会导致潜在的模型风险。本文将因子扩散过程引入结构信用风险模型,获得了回收率和违约概率之间的内在关系,利用Monte Carlo模拟方法数值分析了预期回收率对违约概率和资产价值波动率的依赖性,结果表明预期回收率与违约率之间具有很强的负相关关系,而且这种相关关系会受到债务人资产价值波动率的正向影响。在内生性回收率下,推导了信用损失的概率分布,计算了信用风险的Credit-VaR和ETF指标。最后利用市场数据检验了内生回收率信用风险模型的有效性,结果表明该模型可以很好的描述历史违约率和回收率的变化过程。     

基于政府隐性担保退出预期的金融机构违约风险重定价

取消政府隐性担保或将成为未来政策重点,这将引起隐性担保退出的市场预期,导致金融机构违约风险的重定价。在金融机构自身资产价值随机运动的情形下,文章分别分析了离散时间隐性担保与连续时间隐性担保下金融机构总资产价值的动态随机运动规律,在结构化模型框架内构建了考虑政府隐性担保预期的违约风险模型,度量了政府隐性担保退出过程中不同风险状态金融机构的违约概率与预期损失。研究表明：（1）随着政府隐性担保逐步退出,金融机构违约概率逐渐增加,预期损失呈现先增加后递减的过程。（2）金融机构资产价值波动率越大,杠杆率越高,在政府隐性担保退出过程中其违约概率与预期损失越大。     

CRMW风险缓释效用目标跟踪的债券投资组合优化策略研究

为缓释债券市场违约风险,央行着力推进信用风险缓释工具CRMW(信用风险缓释凭证)的发展,关于CRMW风险缓释能力度量及CRMW在债券投资组合中的应用成为了亟待解决的关键问题。为此,本文借鉴CVaR思想提出了“CRMW风险缓释效用”以度量CRMW对债券违约风险缓释能力,借助概率分位点理论定义债券的动态风险并制定了动态风险缓释跟踪目标,基于此跟踪目标探讨带有CRMW的债券投资组合优化策略问题。研究结果表明,在保证目标投资收益率的前提下,债券最优投资组合可达到风险缓释效用的目标,使其同时实现转移风险和保障收益的双重目的,且该投资组合优化策略表现出良好的抗风险性能。     

基于时变跳跃次数的基准利率风险测算研究

各国央行包括美联储的利率调整和变动就是基准利率风险.基准利率的变化势必要导致金融资产定价的变动和风险溢价.本文通过自回归模型AR测算随时间变化的利率跳跃次数,确定基准利率跳跃的概率,利用伽马分布和正态分布分别测算基准利率跳跃的时间与幅度,根据利率跳跃的概率、时间和幅度确定基准利率跳跃风险溢价,建立基于时变跳跃次数的基准利率跳跃风险溢价测算模型,并利用中国上海证券交易所国债7天回购利率数据进行实证研究.本文创新与特色:1)通过自回归模型AR测算时变的利率跳跃次数,测算利率发生跳跃的概率,确定基准利率跳跃风险溢价,揭示跳跃次数的动态变化规律,反映历史利率跳跃行为对未来利率跳跃行为的影响,改变现有研究以常数跳跃次数测算利率跳跃概率、无法真实反映利率跳跃的频繁程度,导致利率跳跃概率及利率跳跃风险溢价测算不准的弊端.2)研究表明,现有研究的常数跳跃次数仅仅是本文跳跃次数测算模型在参数ρ、γ等于0时的特例.3)通过利率跳跃的概率、时间和幅度确定基准利率的跳跃风险溢价,解决基准利率跳跃风险补偿的测算问题.     

Does Iconicity in Pictographs Matter? The Influence of Iconicity and Numeracy on Information Processing,Decision Making,and Liking in an Eye‐Tracking Study

Researchers recommend the use of pictographs in medical risk communication to improve people's risk comprehension and decision making. However, it is not yet clear whether the iconicity used in pictographs to convey risk information influences individuals’ information processing and comprehension. In an eye‐tracking experiment with participants from the general population (N = 188), we examined whether specific types of pictograph icons influence the processing strategy viewers use to extract numerical information. In addition, we examined the effect of iconicity and numeracy on probability estimation, recall, and icon liking. This experiment used a 2 (iconicity: blocks vs. restroom icons) × 2 (scenario: medical vs. nonmedical) between‐subject design. Numeracy had a significant effect on information processing strategy, but we found no effect of iconicity or scenario. Results indicated that both icon types enabled high and low numerates to use their default way of processing and extracting the gist of the message from the pictorial risk communication format: high numerates counted icons, whereas low numerates used large‐area processing. There was no effect of iconicity in the probability estimation. However, people who saw restroom icons had a higher probability of correctly recalling the exact risk level. Iconicity had no effect on icon liking. Although the effects are small, our findings suggest that person‐like restroom icons in pictographs seem to have some advantages for risk communication. Specifically, in nonpersonalized prevention brochures, person‐like restroom icons may maintain reader motivation for processing the risk information.     

Taxes and the choice between risky and risk-free debt: on the neutrality of credit default taxation

Shareholders can decide if their corporation issues risky or risk-free debt. We identify tax systems in which the choice between risky and risk-free debt is not distorted by taxes. These credit default neutral tax systems make it possible to make capital structure decisions and firm valuations neglecting credit default risk, even after taxes. Thus credit default neutrality is a characteristic of a tax system that helps to reduce planning costs. Moreover, credit default neutrality is a necessary condition for financial neutrality of taxation. We find one class of credit default neutral taxes that preserves and another class that modifies the expected tax distribution between creditors and debtor firm. Finally, we show the influence of personal taxation on credit default neutrality.

中小企业违约风险系统性和异质性测度——基于违约风险成分分析法的研究

与大中型企业相比,经济环境恶化或突发事件冲击使中小企业资产价值更易大幅下降,不仅单个企业违约风险急增,企业间的违约相关性也明显变大。然而不同类型中小企业违约风险变化特征仍有较大差异。为了更好测度中小企业违约风险、分析其相关性和差异性,本文在资产价值满足跳-扩散过程假定下,将或有权益分析法、组合违约风险分析与系统波动风险测度β相结合,把违约风险分解为系统成分和异质成分。系统成分越大,表明企业违约风险越易受外部经济环境和相关违约风险影响。异质成分越大则表明企业违约风险与自身异质性特征更为相关。实证研究表明,违约风险成分分析能较好解释中小企业违约风险的相关性和差异性,有助于违约风险分类管理。     

Banks’ Risk Endogenous to Strategic Management Choices

Use of variability of profits and other accounting‐based ratios in order to estimate a firm's risk of insolvency is a well‐established concept in management and economics. We argue that these measures fail to approximate the true level of risk accurately because managers consider other strategic choices and goals when making risky decisions. Instead, we propose an econometric model that incorporates current and past strategic choices to estimate risk from the profit function. Specifically, we extend the well‐established multiplicative error model to allow for the endogeneity of the uncertainty component. We demonstrate the power of the model using a large sample of US banks and show that our estimates predict the accelerated bank risk that led to the subprime crisis in 2007. Our measure of risk also predicts the probability of bank default both in the period of the default but also well in advance of this default and before conventional measures of bank risk.     

企业集团代理人风险态度、道德风险与信用风险传递

由于企业集团的关联企业众多,股权结构复杂,导致银企信息更加不对称,银行对企业集团贷款资金的监管更加困难,企业集团也更有机会产生不按照贷款合约使用贷款资金的道德风险,从而增大了银行的信用风险.针对此问题,首先分析了企业集团代理人转移银行贷款资金的动机,以及企业集团子公司之间信用风险的传递过程;其次,基于代理人效用最大化原理,分析委托代理合约、代理人风险态度,以及代理人转移贷款资金的道德风险对企业集团子公司信用风险的影响;最后,建立了度量企业集团子公司信用风险的违约概率模型.研究表明,代理人的风险态度、委托代理合约的状态都会影响企业集团子公司的违约概率.     

附免赔额保险协议下的供应链协调分析

针对供应链主体之间的风险转移问题,在批发价格契约的基础上引入了附免赔额的保险协议,明确了损失的定义及其概率分布.探讨了风险厌恶情况下免赔额对决策主体目标函数的影响,并给出了最优值的确定条件.比较分析了风险中性情况下最优订货量的取值,结果表明在一定条件下供应链可以协调;最后通过数值分析的方式研究了相应参数对保险费的影响,为决策者在确定保险协议时提供了决策依据.     

Diminishing Willingness to Pay per Quality‐Adjusted Life Year: Valuing Acute Foodborne Illness

We design and conduct a stated‐preference survey to estimate willingness to pay (WTP) to reduce foodborne risk of acute illness and to test whether WTP is proportional to the corresponding gain in expected quality‐adjusted life years (QALYs). If QALYs measure utility for health, then economic theory requires WTP to be nearly proportional to changes in both health quality and duration of illness and WTP could be estimated by multiplying the expected change in QALYs by an appropriate monetary value. WTP is elicited using double‐bounded, dichotomous‐choice questions in which respondents (randomly selected from the U.S. general adult population, n = 2,858) decide whether to purchase a more expensive food to reduce the risk of foodborne illness. Health risks vary by baseline probability of illness, reduction in probability, duration and severity of illness, and conditional probability of mortality. The expected gain in QALYs is calculated using respondent‐assessed decrements in health‐related quality of life if ill combined with the duration of illness and reduction in probability specified in the survey. We find sharply diminishing marginal WTP for severity and duration of illness prevented. Our results suggest that individuals do not have a constant rate of WTP per QALY, which implies that WTP cannot be accurately estimated by multiplying the change in QALYs by an appropriate monetary value.     

Bidding under auctioneer default risk

In a financially turbulent economy, participants of a procurement auction should consider in their bids the event of default of the auctioneer, which may result to substantial damages for the winning bidder. We examine a sealed bid auction, with private cost values and interdependence among the beliefs of the bidders about the auctioneer׳s default risk. The probability of payment of the bid price by the auctioneer is estimated by each bidder. For a first and a second price auction, we derive equilibrium bidding strategies, which address the risk of default and optimally adjust the bid price, introducing a risk premium in the form of an additional mark-up. A numerical illustration of the proposed strategies is provided. The effect of auctioneer׳s risk of default on the procurement project cost is examined. Financial arrangements that may be used to relax or eliminate the effect of the risk of default, such as early payment methods, third party guarantees or insurance programs are discussed and evaluated in comparison with the approach of risk premium on bid price.     

Improving Default Risk Prediction Using Bayesian Model Uncertainty Techniques

Credit risk is the potential exposure of a creditor to an obligor's failure or refusal to repay the debt in principal or interest. The potential of exposure is measured in terms of probability of default. Many models have been developed to estimate credit risk, with rating agencies dating back to the 19th century. They provide their assessment of probability of default and transition probabilities of various firms in their annual reports. Regulatory capital requirements for credit risk outlined by the Basel Committee on Banking Supervision have made it essential for banks and financial institutions to develop sophisticated models in an attempt to measure credit risk with higher accuracy. The Bayesian framework proposed in this article uses the techniques developed in physical sciences and engineering for dealing with model uncertainty and expert accuracy to obtain improved estimates of credit risk and associated uncertainties. The approach uses estimates from one or more rating agencies and incorporates their historical accuracy (past performance data) in estimating future default risk and transition probabilities. Several examples demonstrate that the proposed methodology can assess default probability with accuracy exceeding the estimations of all the individual models. Moreover, the methodology accounts for potentially significant departures from “nominal predictions” due to “upsetting events” such as the 2008 global banking crisis.     

Bubbles and Self‐Enforcing Debt

We characterize equilibria with endogenous debt constraints for a general equilibrium economy with limited commitment in which the only consequence of default is losing the ability to borrow in future periods. First, we show that equilibrium debt limits must satisfy a simple condition that allows agents to exactly roll over existing debt period by period. Second, we provide an equivalence result, whereby the resulting set of equilibrium allocations with self‐enforcing private debt is equivalent to the allocations that are sustained with unbacked public debt or rational bubbles. In contrast to the classic result by Bulow and Rogoff (1989a), positive levels of debt are sustainable in our environment because the interest rate is sufficiently low to provide repayment incentives.     

增价拍卖中投标者跳跃报价的收益效应研究

跳跃投标是增价拍卖一种普遍现象,而跳跃投标是否会带来投标方的期望收益的增加是一个值得关注的问题。通过运用博弈论方法,分别寻找单物品和多物品拍卖两种情形下的跳跃报价均衡,计算出跳跃报价均衡下的投标方期望收益,并将其结果与非跳跃报价情形进行比较,给出了投标方希望通过跳跃出价改善其期望收益的一般条件。     

Failure Probability Under Parameter Uncertainty

In many problems of risk analysis, failure is equivalent to the event of a random risk factor exceeding a given threshold. Failure probabilities can be controlled if a decisionmaker is able to set the threshold at an appropriate level. This abstract situation applies, for example, to environmental risks with infrastructure controls; to supply chain risks with inventory controls; and to insurance solvency risks with capital controls. However, uncertainty around the distribution of the risk factor implies that parameter error will be present and the measures taken to control failure probabilities may not be effective. We show that parameter uncertainty increases the probability (understood as expected frequency) of failures. For a large class of loss distributions, arising from increasing transformations of location‐scale families (including the log‐normal, Weibull, and Pareto distributions), the article shows that failure probabilities can be exactly calculated, as they are independent of the true (but unknown) parameters. Hence it is possible to obtain an explicit measure of the effect of parameter uncertainty on failure probability. Failure probability can be controlled in two different ways: (1) by reducing the nominal required failure probability, depending on the size of the available data set, and (2) by modifying of the distribution itself that is used to calculate the risk control. Approach (1) corresponds to a frequentist/regulatory view of probability, while approach (2) is consistent with a Bayesian/personalistic view. We furthermore show that the two approaches are consistent in achieving the required failure probability. Finally, we briefly discuss the effects of data pooling and its systemic risk implications.     

Integrating Household Risk Mitigation Behavior in Flood Risk Analysis: An Agent‐Based Model Approach

Recent studies showed that climate change and socioeconomic trends are expected to increase flood risks in many regions. However, in these studies, human behavior is commonly assumed to be constant, which neglects interaction and feedback loops between human and environmental systems. This neglect of human adaptation leads to a misrepresentation of flood risk. This article presents an agent‐based model that incorporates human decision making in flood risk analysis. In particular, household investments in loss‐reducing measures are examined under three economic decision models: (1) expected utility theory, which is the traditional economic model of rational agents; (2) prospect theory, which takes account of bounded rationality; and (3) a prospect theory model, which accounts for changing risk perceptions and social interactions through a process of Bayesian updating. We show that neglecting human behavior in flood risk assessment studies can result in a considerable misestimation of future flood risk, which is in our case study an overestimation of a factor two. Furthermore, we show how behavior models can support flood risk analysis under different behavioral assumptions, illustrating the need to include the dynamic adaptive human behavior of, for instance, households, insurers, and governments. The method presented here provides a solid basis for exploring human behavior and the resulting flood risk with respect to low‐probability/high‐impact risks.