Ruin probabilities expressed in terms of ladder height distributions

Abstract

During the latest few years much attention has been given to the study of the ruin problem of a risk business when the epochs of claims form a renewal process. The study of this problem was initiated by E. S. Andersen (1957). Thorin has then in a series of papers (Thorin, 1970, 1971a, 1971b) shown that the Wiener-Hopf technique, originally developed by Cramer (1955) in the case of a Poisson process, can be used in this more general case, and Takacs (1970) has derived results similar to those of Thorin by an entirely new technique.     

Planning for balanced growth in Chinese air traffic: A case for statistical mechanics

This paper identifies drivers of variations within air traffic systems highlighting inefficient mechanisms that can lead to system sub-optimality. Domestic air traffic in China is used as a case study. Airports need to respond to local demands with airlines that control parts of the system as agents. The relationship between the agent's behavior and system-wide variations in traffic movements shows how the collective behavior of a relatively few agents can disproportionately influence the system-wide traffic distribution.     

INFORMATION IN THE YIELD CURVE: A MACRO‐FINANCE APPROACH

We use a macro‐finance model, incorporating macroeconomic and financial factors, to study the term premium in the US bond market. Estimating the model using Bayesian techniques, we find that a single factor explains most of the variation in bond risk premiums. Furthermore, the model‐implied risk premiums account for up to 40% of the variability of one‐ and two‐year excess returns. Using the model to decompose yield spreads into an expectations and a term premium component, we find that, although this decomposition does not seem important to forecast economic activity, it is crucial to forecast inflation for most forecasting horizons. Copyright © 2012 John Wiley & Sons, Ltd.     

Managing Risks in Complex Projects

Dealing effectively with risks in complex projects is difficult and requires management interventions that go beyond simple analytical approaches. This is one finding of a major field study into risk management practices and business processes of 35 major product developments in 17 high‐technology companies. Almost one‐half of the contingencies that occur are not being detected before they impact project performance. Yet, the risk‐impact model presented in this article shows that risk does not affect all projects equally but depends on the effectiveness of collective managerial actions dealing with specific contingencies. The results of this study discuss why some organizations are more successful in detecting risks early in the project life cycle, and in decoupling risk factors from work processes before they impact project performance. The field data suggest that effective project risk management involves an intricately linked set of variables, related to work process, organizational environment, and people. Some of the best success scenarios point to the critical importance of recognizing and dealing with risks early in their development. This requires broad involvement and collaboration across all segments of the project team and its environment, and sophisticated methods for assessing feasibilities and usability early and frequently during the project life cycle. Specific managerial actions, organizational conditions, and work processes are suggested for fostering a project environment most conducive to effective cross‐functional communication and collaboration among all stakeholders, a condition important to early risk detection and effective risk management in complex project situations.     

A nonparametric efficiency analysis of German public transport companies

In this paper, we present a nonparametric comparative efficiency analysis of 179 communal public transport bus companies in Germany (1990–2004). We apply both deterministic data envelopment analysis (DEA) and bootstrapping to test the robustness of our estimates and to test the hypothesis of global and individual constant returns to scale. We find that the average technical efficiency of German bus companies is relatively low. We observe that the industry appears to be characterized by increasing returns to scale for smaller companies. These results would imply increasing pressure on bus companies to restructure.     

Utility Functions

Abstract

This article is a self-contained survey of utility functions and some of their applications. Throughout the paper the theory is illustrated by three examples: exponential utility functions, power utility functions of the first kind (such as quadratic utility functions), and power utility functions of the second kind (such as the logarithmic utility function). The postulate of equivalent expected utility can be used to replace a random gain by a fixed amount and to determine a fair premium for claims to be insured, even if the insurer’s wealth without the new contract is a random variable itself. Then n companies (or economic agents) with random wealth are considered. They are interested in exchanging wealth to improve their expected utility. The family of Pareto optimal risk exchanges is characterized by the theorem of Borch. Two specific solutions are proposed. The first, believed to be new, is based on the synergy potential; this is the largest amount that can be withdrawn from the system without hurting any company in terms of expected utility. The second is the economic equilibrium originally proposed by Borch. As by-products, the option-pricing formula of Black-Scholes can be derived and the Esscher method of option pricing can be explained.     

Exchange rate determination: a theory of the decisive role of central bank cooperation and conflict

Economists’ faith that variable exchange rates benevolently equilibrate has been empirically disconfirmed. That faith is here tackled at its theoretical core with an exchange rate model that although ultra abstract, includes the undeniable fundamentals of market power and differential goals of central bankers and large-scale private players. It permits a game theoretic analysis under the assumption that all agents maximize their payoffs. The paper then relaxes the assumption of maximising agents, allowing for a more complex and thus realistic second version of the model that is interpretable within SKAT, the Stages of Knowledge Ahead Theory of risk and uncertainty. In an experimental setting, this second version of the model points to: a) the inability of agents in central banks, governments and the private real and financial sectors to operate in maximising ways; b) destructive central bank conflict; and c) the widely discrepant outcomes arising from the dynamics of individual personality differences. The paper’s theoretical and empirical findings thus both point to the merits of a single world currency.