MULTIDIMENSIONAL DYNAMIC RISK MEASURE VIA CONDITIONAL g‐EXPECTATION

This paper deals with multidimensional dynamic risk measures induced by conditional g‐expectations. A notion of multidimensional g‐expectation is proposed to provide a multidimensional version of nonlinear expectations. By a technical result on explicit expressions for the comparison theorem, uniqueness theorem, and viability on a rectangle of solutions to multidimensional backward stochastic differential equations, some necessary and sufficient conditions are given for the constancy, monotonicity, positivity, and translatability properties of multidimensional conditional g‐expectations and multidimensional dynamic risk measures; we prove that a multidimensional dynamic g‐risk measure is nonincreasingly convex if and only if the generator g satisfies a quasi‐monotone increasingly convex condition. A general dual representation is given for the multidimensional dynamic convex g‐risk measure in which the penalty term is expressed more precisely. It is shown that model uncertainty leads to the convexity of risk measures. As to applications, we show how this multidimensional approach can be applied to measure the insolvency risk of a firm with interacting subsidiaries; optimal risk sharing for ‐tolerant g‐risk measures, and risk contribution for coherent g‐risk measures are investigated. Insurance g‐risk measure and other ways to induce g‐risk measures are also studied at the end of the paper.     

RISK MEASURES: RATIONALITY AND DIVERSIFICATION

When there is uncertainty about interest rates (typically due to either illiquidity or defaultability of zero coupon bonds) the cash‐additivity assumption on risk measures becomes problematic. When this assumption is weakened, to cash‐subadditivity for example, the equivalence between convexity and the diversification principle no longer holds. In fact, this principle only implies (and it is implied by) quasiconvexity. For this reason, in this paper quasiconvex risk measures are studied. We provide a dual characterization of quasiconvex cash‐subadditive risk measures and we establish necessary and sufficient conditions for their law invariance. As a byproduct, we obtain an alternative characterization of the actuarial mean value premium principle.     

SHAREHOLDER RISK MEASURES

The aim of this paper is to put forward a new family of risk measures that could guide investment decisions of private companies. But at the difference of the classical approach of Artzner, Delbaen, Eber, and Heath and the subsequent extensions of this model, our risk measures are built to reflect the risk perception of shareholders rather than regulators. Instead of an axiomatic approach, we derive risk measures from the optimal policies of a shareholder value‐maximizing company. We study these optimal policies and the related risk measures that we call shareholder risk measures. We emphasize the fact that due to the specific corporate environment, in particular the limited shareholders' liability and the possibility to pay out dividends from cash reserves, these risk measures are not convex. Also, they depend on the specific economic situation of the firm, in particular its current cash level, and thus they are not translation invariant. This paper bridges the gap between two important branches of mathematical finance: risk measures and optimal dividends.     

Bailouts,Monitoring, and Penalties: An Integrated Framework of Government Policies to Manage the Too‐Big‐to‐Fail Problem

This paper discusses optimal government bailout policy where the costs of systemic failures and moral hazard problems are considered. We find that a three‐tiered bailout policy that includes an ex post monitoring and bailout scheme for financial institutions with large systemic impacts (‘too big to fail’) is optimal. The optimal policy also requires a randomized bailout for medium‐impact institutions (‘Constructive Ambiguity’), and no bailout for institutions that have only minimal systemic consequences (‘too small to save’). However, in a volatile, innovative market environment where individual institutions may know more than the government regulator, monitoring error could contribute to risk taking, leaving the government regulator to always play a ‘catch‐up’ role in revising policy. Moreover, the optimal bailout policy may not be time‐consistent: institutions not deemed ‘too big to fail’ may still have an incentive to take excessive risks and expect to be bailed out in case of insolvency, primarily due to the short‐term orientation of the government. Finally, because an institution's systemic cost affects the probability of a bailout, we show that the boundary of an institution may be extended by the government subsidy.     

Network valuation in financial systems

We introduce a general model for the balance‐sheet consistent valuation of interbank claims within an interconnected financial system. Our model represents an extension of clearing models of interdependent liabilities to account for the presence of uncertainty on banks' external assets. At the same time, it also provides a natural extension of classic structural credit risk models to the case of an interconnected system. We characterize the existence and uniqueness of a valuation that maximizes individual and total equity values for all banks. We apply our model to the assessment of systemic risk and in particular for the case of stress testing. Further, we provide a fixed‐point algorithm to carry out the network valuation and the conditions for its convergence.     

ASYMPTOTIC EQUIVALENCE OF RISK MEASURES UNDER DEPENDENCE UNCERTAINTY

In this paper, we study the aggregate risk of inhomogeneous risks with dependence uncertainty, evaluated by a generic risk measure. We say that a pair of risk measures is asymptotically equivalent if the ratio of the worst‐case values of the two risk measures is almost one for the sum of a large number of risks with unknown dependence structure. The study of asymptotic equivalence is particularly important for a pair of a noncoherent risk measure and a coherent risk measure, as the worst‐case value of a noncoherent risk measure under dependence uncertainty is typically difficult to obtain. The main contribution of this paper is to establish general asymptotic equivalence results for the classes of distortion risk measures and convex risk measures under different mild conditions. The results implicitly suggest that it is only reasonable to implement a coherent risk measure for the aggregation of a large number of risks with uncertainty in the dependence structure, a relevant situation for risk management practice.     

General equilibrium pricing of nonredundant forward contracts

We derive the general equilibrium of a dynamic financial market in which the investors' opportunity set includes nonredundant forward contracts. We show that Breeden's (1979) consumption‐based CAPM equation for forward contracts contains an extra term relative to that for cash assets. We name this term a strategy risk premium. It compensates investors for the (systematic) risk that stems from their very portfolio strategies when the latter involve nonredundant forward contracts. We also show that Merton's (1973) multibeta intertemporal CAPM must be amended for forward contracts to exhibit adjusted risk premia for the market portfolio and all relevant state variables, as opposed to the usual risk premia for cash assets. Our results are shown not to depend on the usual cash‐and‐carry relationship, which, in general, does not hold. We, nevertheless, provide a well‐known special case where it does hold, albeit not grounded on the usual no‐arbitrage argument. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:817–840, 2003     

CASH SUBADDITIVE RISK MEASURES AND INTEREST RATE AMBIGUITY

A new class of risk measures called cash subadditive risk measures is introduced to assess the risk of future financial, nonfinancial, and insurance positions. The debated cash additive axiom is relaxed into the cash subadditive axiom to preserve the original difference between the numéraire of the current reserve amounts and future positions. Consequently, cash subadditive risk measures can model stochastic and/or ambiguous interest rates or defaultable contingent claims. Practical examples are presented, and in such contexts cash additive risk measures cannot be used. Several representations of the cash subadditive risk measures are provided. The new risk measures are characterized by penalty functions defined on a set of sublinear probability measures and can be represented using penalty functions associated with cash additive risk measures defined on some extended spaces. The issue of the optimal risk transfer is studied in the new framework using inf-convolution techniques. Examples of dynamic cash subadditive risk measures are provided via BSDEs where the generator can locally depend on the level of the cash subadditive risk measure.     

INDIFFERENCE VALUATION OF MORTGAGE‐BACKED SECURITIES IN THE PRESENCE OF PREPAYMENT RISK

We present a utility‐based methodology for the valuation and the risk management of mortgage‐backed securities subject to totally unpredictable prepayment risk. Incompleteness stems from its embedded prepayment option which affects the security's cash flow pattern. The prepayment time is constructed via deterministic or stochastic hazard rate. The relevant indifference price consists of a linear term, corresponding to the remaining outstanding balance, and a nonlinear one that incorporates the investor's risk aversion and the interest payments generated by the mortgage contract. The indifference valuation approach is also extended to the case of homogeneous mortgage pools.     

MULTIVARIATE RISK MEASURES: A CONSTRUCTIVE APPROACH BASED ON SELECTIONS

Since risky positions in multivariate portfolios can be offset by various choices of capital requirements that depend on the exchange rules and related transaction costs, it is natural to assume that the risk measures of random vectors are set‐valued. Furthermore, it is reasonable to include the exchange rules in the argument of the risk measure and so consider risk measures of set‐valued portfolios. This situation includes the classical Kabanov's transaction costs model, where the set‐valued portfolio is given by the sum of a random vector and an exchange cone, but also a number of further cases of additional liquidity constraints. We suggest a definition of the risk measure based on calling a set‐valued portfolio acceptable if it possesses a selection with all individually acceptable marginals. The obtained selection risk measure is coherent (or convex), law invariant, and has values being upper convex closed sets. We describe the dual representation of the selection risk measure and suggest efficient ways of approximating it from below and from above. In the case of Kabanov's exchange cone model, it is shown how the selection risk measure relates to the set‐valued risk measures considered by Kulikov (2008, Theory Probab. Appl. 52, 614–635), Hamel and Heyde (2010, SIAM J. Financ. Math. 1, 66–95), and Hamel, Heyde, and Rudloff (2013, Math. Financ. Econ. 5, 1–28).     

Siloed Perceptions in Pharmaceutical Supply Chain Risk Management: A Brazilian Perspective

Abstract

This article maps risk perception across the pharmaceutical supply chain (PSC) in Brazil. Our paper employs the method orders-of-magnitude analytic hierarchy process to rank risks as perceived by industry, distributors, hospitals and pharmacies. We show that players have a siloed perception of risk and impact of those risks. While upstream players emphasize cost, downstream players value service; moreover, both prioritize operational risks over strategic risks. We call for further studies in Latin America: although interest in risk is growing, few studies address the PSC and even fewer realities outside the Northern Hemisphere.     

我国商业银行系统性风险评估与实证研究——基于预期期望损失方法测度

文章对我国商业银行系统性风险进行评估,采用系统性预期期望损失和边际预期期望损失两个测度变量,以此作为系统重要性指数,通过预期期望损失方法利用我国14家上市商业银行的面板数据评估我国商业银行系统性风险水平。实证结果表明：国有银行系统重要性虽然占据主要地位,但系统性风险贡献排名却远低于其他商业银行,主要原因是国有银行的现金流更稳定,政府隐性担保及政策优惠对弱化系统性风险贡献度有很大帮助。另外我国中小城市商业银行更有可能带来系统性风险,因为股份制商业银行资产总规模虽然相对较小,但资产扩张速度过快、盈利大幅波动、资本充足率低且负债率较高,相比较国有银行更需要得到监管部门的重点监管。     

A Minimizing Risk Strategy for Brazilian Fixed-Income Portfolios

This study presents various risk immunization strategies for fixed-income portfolios, including not only classical measures like duration, convexity, and dispersion but also modern measures such as VaR (value-at-risk) and ES (expected shortfall). Empirical tests are conducted in the Brazilian domestic and international bond market. Because it has had one of highest interest rates since the 1990s, Brazil offers an interesting case study for fixed-income studies. Our results are different for domestic and international bonds. For domestic bonds, using the highest convexity criterion to choose the best portfolio is better than using minimum dispersion, and there is a coincidence between the optimum portfolio selected by the convexity, historical VaR, and ES criteria. For international bonds, our findings indicate that the minimum dispersion strategy performs much better than the maximum convexity strategy. The overall performance of portfolios chosen by minimum VaR and ES criteria is also good, with satisfactory realized returns and squared errors.     

我国企业海外直接投资的风险管理策略研究

本文认为,我国企业海外直接投资主要面临政治风险、金融风险、经营风险、技术风险、文化与管理风险、道德风险。建立海外直接投资风险管理体系,必须将风险管理渗透到跨国投资经营的各个环节和领域,并在跨国公司内部培育全员风险管理文化,将风险管理理念引入公司的文化价值观,形成良好的风险控制环境。第一,认真作好海外直接投资的综合环境评估;第二,健全海外直接投资的风险管理组织体系;第三,构建海外直接投资的风险预警系统;第四,发挥政府的积极作用,在融资、法律法规、信息、技术与人才等方面予以支持。     

Consumption smoothing,risk sharing and financial integration

Theories indicate that financial integration should allow economies to better share risk and thus improve consumption smoothing. We construct two widely used price‐based measures of financial integration (i.e., the standard correlation and the adjusted R‐squared) and test whether consumption volatility declines as international equity markets become more integrated. Pooled and panel estimates for three different groups of countries (i.e., G7, G20 and EU) provide no significant evidence of improved consumption smoothing as financial integration rises. This evidence is supported by a battery of robustness checks and holds over time. Taken together, our results suggest that convergence in international equity prices does not necessarily represent the channel through which risk‐sharing opportunities arise or consumption smoothing improves.     

我国开放式基金风险管理研究

开放式基金作为一种金融工具,其健康发展离不开对风险的有效管理和控制。本文详细分析了我国开放式基金所面临的各种风险,并提出了防范和管理开放式基金风险的建议和措施。与现有文献相比,本文提出了系统的开放式基金风险管理措施,并构建了开放式基金风险管理模型,形成了我国开放式基金风险管理系统,完善了开放式基金风险管理理论。     

Determinants of indebtedness among young adults: Impacts of lender guidelines,explicit information and financial (over)confidence

For most people, borrowing money is a necessary aspect of life in the 21st century. Wisely handled, loans give consumers access to consumption too expensive for most individuals to purchase with cash, such as homes and cars. However, history shows that taking on too much debt can be detrimental for the individual consumer as well as society as a whole. In this paper, we investigate determinants of over‐indebtedness among young adults. We perform three studies in a setting focused on buying and borrowing money for a home. We show that, compared with an overall mortgage amount, explicit information about monthly payments reduces the tendency to take on too much debt (Study 1), that the amount borrowed depends on standards regarding the loan amount communicated through guidelines from the lender (Study 2), and that borrowers who are overconfident about their financial abilities tend to borrow more than less confident individuals (Study 3). These determinants and their policy implications are discussed.     

Risk Management Strategies in Transportation Capacity Decisions: An Analytical Approach

In recent years, access to freight transportation capacity has become a constant issue in the minds of logistics managers due to capacity shortages. In a buyer–seller relationship, reliable, timely, and cost‐effective access to transportation is critical to the success of such partnerships. Given this, guaranteed capacity contracts with third‐party logistics providers (3PLs) may be appealing to shippers to increase their access to capacity and respond effectively to customer requirements. With this new opportunity, 3PLs must focus on approaches that can assist them in analyzing their options as they promise guaranteed capacity to shippers when faced with uncertain demand and related risks in transportation. In this paper, we analytically analyze three capacity‐based risk mitigation strategies and the mixed use of these individual strategies using industry‐based data to provide insights on which strategy is preferable to the 3PL and under what conditions. We posit that the selection of a strategy is contingent on several conditions faced by both the shipper and the carrier. Although our approach is analytical in nature, it has a high degree of practical utility in that a 3PL can utilize our decision models to effectively analyze and visualize the trade‐offs between the different strategies by considering appropriate cost and demand data.     

Coherent Measures of Risk

In this paper we study both market risks and nonmarket risks, without complete markets assumption, and discuss methods of measurement of these risks. We present and justify a set of four desirable properties for measures of risk, and call the measures satisfying these properties "coherent." We examine the measures of risk provided and the related actions required by SPAN, by the SEC/NASD rules, and by quantile-based methods. We demonstrate the universality of scenario-based methods for providing coherent measures. We offer suggestions concerning the SEC method. We also suggest a method to repair the failure of subadditivity of quantile-based methods.     

RISK MEASURES ON AND VALUE AT RISK WITH PROBABILITY/LOSS FUNCTION

We propose a generalization of the classical notion of the V@R_λ that takes into account not only the probability of the losses, but the balance between such probability and the amount of the loss. This is obtained by defining a new class of law invariant risk measures based on an appropriate family of acceptance sets. The V@R_λ and other known law invariant risk measures turn out to be special cases of our proposal. We further prove the dual representation of Risk Measures on .