Mechanisms for improving reliability and reducing risk by stochastic and deterministic separation

The paper provides for the first time a comprehensive introduction into the mechanisms through which the method of separation achieves risk reduction and into the ways it can be implemented in engineering designs. The concept stochastic separation of critical random events on a time interval, which consists of guaranteeing with a specified probability a specified degree of distancing between the random events, is introduced. Efficient methods for providing stochastic separation by reducing the duration times of overlapping critical random events on a time interval are presented. The paper shows that the probability of overlapping of critical events, randomly appearing on a time interval, is practically insensitive to the distribution of their duration times and to the variance of the duration times as long as the mean of the duration times remains the same. A rigorous proof is presented that this statement is valid even for two random events on a time interval. The paper also provides insight into various mechanisms through which deterministic separation improves reliability and reduces risk. It is demonstrated that the separation on properties is an efficient technique for compensating the drawbacks associated with homogeneous properties. It is demonstrated that improving reliability by including redundancy, improving reliability by segmentation and some of the deliberate weak link techniques and stress limiters techniques for reducing risk are effectively special cases of a deterministic separation. Finally, the paper demonstrates that in a number of cases, the way to extract benefit from the method of separation is to build and analyse a mathematical model based on the method of separation. A comprehensive classification of the discussed methods for stochastic and deterministic separation is also presented.     

The DB Underpin Hybrid Pension Plan

Abstract

In this paper the defined benefit underpin guarantee is valued as a financial option, within the traditional funding paradigms of actuarial science. Assuming fixed interest rates, and assuming that salaries can be treated as a tradable asset, we value the guarantee using fair value principles. Contribution rates are developed for the Entry Age Normal, Projected Unit Credit, and Traditional Unit Credit funding methods. In addition, for the accruals methods, we demonstrate the implied hedging strategy. The traditional unit credit offers the best method of these three, as it is consistent with the principles of financial economics, and the resulting contributions more naturally follow the cost of the emerging benefit, without creating expensive barriers to new hires. The method generates significant contribution volatility, and we demonstrate how this can be reduced with suitable benefit design and ongoing risk management.     

Reducing failures in software development projects: effectiveness of risk mitigation strategies

Risks as uncertain conditions with negative consequences on a software project could increase the failure rate of a project if it is ignored. To identify the effectiveness of risk management strategies, a questionnaire survey among over 1000 software professionals was conducted. Post Hoc Multiple Comparison Test and Kendal’s non-parametric test were employed to analyse risk mitigation strategies in terms of effectiveness in reducing time and cost overruns. Findings reveal risk mitigation strategies related to the technical part are not as efficient as that in the managerial part such as the users’ involvement and commitment in reducing time and cost overruns.     

政治系统与法律系统对于技术风险的决策观察

德国社会学家尼古拉斯·卢曼的社会系统论和二阶观察理论所提供的社会建构论框架,有助于我们从技术、时间、知识、决策等维度厘清技术风险形成的复杂社会机制,促进我们对政治系统和法律系统中的技术风险管制活动进行反思性观察。政治系统通过政策性决策活动规划和控制技术风险的努力,本身也会导致决策风险,政治系统因此发展出令规制失灵而被社会遗忘的应对能力;法律系统内部发展出来的风险预防原则,其功能不在于增加社会的安全水平,而是作为一种程序性反应机制,吸收因科学技术后果的不确定性所导致的环境复杂性。     

VAR and CTE Criteria for Optimal Quota-Share and Stop-Loss Reinsurance

Abstract

It is well known that reinsurance can be an effective risk management tool for an insurer to minimize its exposure to risk. In this paper we provide further analysis on two optimal reinsurance models recently proposed by Cai and Tan. These models have several appealing features including (1) practicality in that the models could be of interest to insurers and reinsurers, (2) simplicity in that optimal solutions can be derived in many cases, and (3) integration between banks and insurance companies in that the models exploit explicitly some of the popular risk measures such as value-at-risk and conditional tail expectation. The objective of the paper is to study and analyze the optimal reinsurance designs associated with two of the most common reinsurance contracts: the quota share and the stop loss. Furthermore, as many as 17 reinsurance premium principles are investigated. This paper also highlights the critical role of the reinsurance premium principles in the sense that, depending on the chosen principles, optimal quota-share and stop-loss reinsurance may or may not exist. For some cases we formally establish the sufficient and necessary (or just sufficient) conditions for the existence of the nontrivial optimal reinsurance. Numerical examples are presented to illustrate our results.     

Sequential payments and optimal pricing in payment systems

This paper studies the intraday payment behaviour between heterogeneous banks as well as optimal intraday pricing schemes. The paper shows the social optimality of payment sequencing, which allows a bank to delay payments until the bank receives payments from the counterparty. The payment sequencing allows a bank with high liquidity cost to ‘recycle’ payment inflow from another bank with lower liqudity cost, reducing the aggregate cost of funding of banks to settle all payments. But we also see that the banks have an incentive to delay payments more than the payment sequencing requires. This underscores the importance of social planner’s role reducing settlement delay, while leaving socially efficient payment sequencing. In this context, we compare two different pricing schemes, a standard throughput guideline and a time-varying intraday tariff, to discuss the optimal incentive mechanisms in payment systems for the ‘socially efficient sequential settlement’.     

A risk perspective supporting organizational efforts for achieving high reliability

Many industries and organizations are actively searching for approaches that can help them enhance the reliability of their operations and avoid mishaps. The concept of high reliability organizations (HROs) has been given considerable attention in this regard. HRO theorists have emphasized the process of mindfulness as a characteristic that allows for better interaction with risk and uncertainty, in order to minimize the potential for failures. From a risk management perspective however, it is not straightforward how to best proceed to obtain a mindful infrastructure which enables such capabilities. Various perspectives on risk and uncertainties exist, which call for different approaches and solutions. A key question studied in this paper is to what extent are traditional risk perspectives based on probability and historical data limited in their ability to support an HRO mindset for managing risk. The main purpose of the paper is to draw attention to an alternative risk perspective that replaces probability with uncertainty in the definition of risk, and to show how such a risk perspective can better support the implementation of HRO theory than the more traditional perspectives. We discuss the implications of such a shift in thinking – from focusing on probabilities to the broader domain of uncertainties regarding risk – for organizations that are seeking to improve their risk management capabilities and enhance the reliability of their operations.     

Creating interactive spreadsheets to provide immediate feedback

Features available with electronic spreadsheets enable accounting educators to create interactive spreadsheets that provide students with immediate feedback regarding the accuracy of their solutions. Providing immediate feedback using an answer-until-correct approach can help students acquire and retain knowledge. In this approach students open an incomplete spreadsheet and create formulas to complete the accounting problem. Correct solutions are denoted by a change in font color. Security features prevent students from locating the correct answers stored in an adjacent area. Problems illustrated in this paper relate to principles of financial accounting. However, interactive spreadsheets can also be used in other accounting courses such as managerial, cost, and intermediate accounting.     

Risk-Adjusted Economic Value Analysis

Abstract

The ability of commonly used profitability measures to reflect risk exposure appropriately is evaluated and found lacking. As an alternative, a modern portfolio theory approach, based on utility theory, is recommended. Generalized formulas for calculating risk-adjusted economic values by deriving risk adjustments from certainty equivalents are developed by using the Markowitz expected utility maxim. Practical applications are described. Where appropriate, simplifying assumptions are shown to result in closed-form solutions, thereby reducing the need for extensive, stochastic cashflow simulations. The resulting formulas can be used to measure financial performance on a risk-adjusted basis consistently across different lines of business or to evaluate risk exposures in strategic alternatives.     

A variance reduction technique based on integral representations

Abstract

Standard Monte Carlo methods can often be significantly improved with the addition of appropriate variance reduction techniques. In this paper a new and powerful variance reduction technique is presented. The method is based directly on the Itô calculus and is used to find unbiased variance-reduced estimators for the expectation of functionals of Itô diffusion processes. The approach considered has wide applicability: for instance, it can be used as a means of approximating solutions of parabolic partial differential equations or applied to valuation problems that arise in mathematical finance. We illustrate how the method can be applied by considering the pricing of European-style derivative securities for a class of stochastic volatility models, including the Heston model.     

The effect of corporate diversification on credit risk: new evidence from European credit default swap spreads

This article investigates the impact of corporate diversification on credit risk. To our best knowledge, this is the first paper to use credit default swap (CDS) spreads instead of bond yield or revalued book values to test the risk‐reduction hypothesis. The analysis relies upon a sample of STOXX^® EUROPE 600 index members and covers the years 2010–2014. After controlling for various CDS‐ and firm‐specific variables, we find that diversification strategies do not significantly lower CDS premiums. Multilevel mediation analysis further shows that information asymmetries overcompensate the risk‐reducing effects resulting from corporate diversification.     

Perspectives of Risk Sharing

In this paper we present an overview of the standard risk sharing model of insurance. We discuss and characterize a competitive equilibrium, Pareto optimality, and representative agent pricing, including its implications for insurance premiums. We only touch upon the existence problem of a competitive equilibrium, primarily by presenting several examples. Risk tolerance and aggregation is the subject of one section. Risk adjustment of the probability measure is one topic, as well as the insurance version of the capital asset pricing model. The competitive paradigm may be a little demanding in practice, so we alternatively present a game theoretic view of risk sharing, where solutions end up in the core. Properly interpreted, this may give rise to a range of prices of each risk, often visualized in practice by an ask price and a bid price. The nice aspect of this is that these price ranges can be explained by "first principles", not relying on transaction costs or other frictions. We also include a short discussion of moral hazard in risk sharing between an insurer and a prospective insurance buyer. We end the paper by indicating the implications of our results for a pure stock market. In particular we find it advantageous to discuss the concepts of incomplete markets in this general setting, where it is possible to use results for closed, convex subspaces of an L 2 -space to discuss optimal risk allocation problems in incomplete financial markets.     

Reinsurance premium principles based on weighted loss functions

ABSTRACT

In this paper, we propose new reinsurance premium principles that minimize the expected weighted loss functions and balance the trade-off between the reinsurer's shortfall risk and the insurer's risk exposure in a reinsurance contract. Random weighting factors are introduced in the weighted loss functions so that weighting factors are based on the underlying insurance risks. The resulting reinsurance premiums depend on both the loss covered by the reinsurer and the loss retained by the insurer. The proposed premiums provide new ways for pricing reinsurance contracts and controlling the risks of both the reinsurer and the insurer. As applications of the proposed principles, the modified expectile reinsurance principle and the modified quantile reinsurance principle are introduced and discussed in details. The properties of the new reinsurance premium principles are investigated. Finally, the comparisons between the new reinsurance premium principles and the classical expectile principle, the classical quantile principle, and the risk-adjusted principle are provided.     

An empirical comparison of GARCH option pricing models

Recent empirical studies have shown that GARCH models can be successfully used to describe option prices. Pricing such contracts requires knowledge of the risk neutral cumulative return distribution. Since the analytical forms of these distributions are generally unknown, computationally intensive numerical schemes are required for pricing to proceed. Heston and Nandi (2000) consider a particular GARCH structure that permits analytical solutions for pricing European options and they provide empirical support for their model. The analytical tractability comes at a potential cost of realism in the underlying GARCH dynamics. In particular, their model falls in the affine family, whereas most GARCH models that have been examined fall in the non-affine family. This article takes a closer look at this model with the objective of establishing whether there is a cost to restricting focus to models in the affine family. We confirm Heston and Nandi's findings, namely that their model can explain a significant portion of the volatility smile. However, we show that a simple non affine NGARCH option model is superior in removing biases from pricing residuals for all moneyness and maturity categories especially for out-the-money contracts. The implications of this finding are examined. JEL Classification G13     

信托财产公示制度的效力模式探析

信托财产公示制度的效力模式大致分为公示要件主义和公示对抗主义。两种模式下信托财产公示将产生不同的法律效果。对两种模式下相关决策者承担成本的差异进行微观层面的探析表明,与公示对抗主义相比,在信托财产公示要件主义模式下,决策者需要负担的成本较高,故信托公示对抗主义更具效率;因此,要降低信托当事人承担的挫折成本,赋予公示制度一定的灵活性,使信托财产公示制度得以顺利实施。     

An Approach to Fair Valuation of Insurance Liabilities Using the Firm’s Cost of Capital

Abstract

There are two competing and seemingly different methodologies for calculating fair values—the direct and indirect methods. The direct approach has the advantage of providing a more reliable assessment of the risk of financial leverage. The indirect method can be structured to adjust for financial leverage, however, the methodology becomes excessively complex. The advantage of the indirect method is that it can be more easily related to exit prices. Intuitively, an exit price should reflect both the creditworthiness of the firm and the cost of capital of the firm. How are these two concepts related? This paper attempts to advance the fair valuation methodology by addressing these questions and presenting a methodology for deriving the firm or own credit risk assumption (to be used with the direct method) that is consistent with the cost of capital assumption used with the indirect method.     

Regression Analysis: Instructional Resource for Cost/Managerial Accounting

Abstract

This paper describes a classroom-tested instructional resource, grounded in principles of active learning and a constructivism, that embraces two primary objectives: ‘demystify’ for accounting students technical material from statistics regarding ordinary least-squares (OLS) regression analysis – material that students may find obscure or overly abstract – and increase student knowledge regarding the use of Excel for cost-estimation purposes. The resource consists of a set of seven student-related files – PowerPoint slides, Word documents, and Excel files – divided into two major parts: four files that deal with simple (i.e., one-variable) linear regression and three files related to the incremental unit-time learning-curve model. A separate Word file, meant for instructors, provides detailed guidance regarding the use of the student-based files. The resource is flexible in that it can be used at both graduate and undergraduate courses in cost/management accounting; customized to meet the needs of individual instructors (coverage of the entire resource requires approximately seven hours of in-class time) and used in conjunction with any cost/management accounting textbook. Throughout the resource many references to related online supplemental materials are provided, including links to relevant online video clips.     

Fast simulations in credit risk

We consider the problem of simulating tail loss probabilities and expected losses conditioned on exceeding a large threshold (expected shortfall) for credit portfolios. Our new idea, called the geometric shortcut, allows an efficient simulation for the case of independent obligors. It is even possible to show that, when the average default probability tends to zero, its asymptotic efficiency is higher than that of the naive algorithm. The geometric shortcut is also useful for models with dependent obligors and can be used for dependence structures modeled with arbitrary copulae. The paper contains the details for simulating the risk of the normal copula credit risk model by combining outer importance sampling with the geometric shortcut. Numerical results show that the new method is efficient in assessing tail loss probabilities and expected shortfall for credit risk portfolios. The new method outperforms all known methods, especially for credit portfolios consisting of weakly correlated obligors and for evaluating the tail loss probabilities at many thresholds in a single simulation run.     

The effects of credit default swaps on corporate investment

ABSTRACT

This paper examines how credit default swaps (CDS) affect the corporate investment of the referenced entities. We document a significant reduction in corporate investment after CDS trading, a result that is robust to alternative model specifications and a set of endogeneity tests. Our findings of the increased firm risk and cost of capital support the costly external capital channel. The cross-sectional variations in CDS effects demonstrate that both reduced monitoring and the empty creditor problem might be the underlying forces driving the costly external capital channel. Our additional analysis implies that CDS trading is associated with an enhancement in investment efficiency for firms that are prone to overinvestment.     

Probability of ruin for a risk process with claims cost inflation

Abstract

This paper has been inspired by a very interesting article by Taylor (1979) in which he considered the effect of claims cost inflation on a compound Poisson risk process. The present paper divides naturally into two parts. In the first part we show, under very general conditions, that if claims costs are increasing and if the premiums are increasing at the same rate then ultimate ruin is certain for the risk process. In the second part we try to determine how fast the premiums should increase in order that ultimate ruin should not be certain for such a risk process.