Ruin and related quantities in some advanced insurance risk models

Risk theory has been a very active research area over the last decades. The main objectives of the theory are to find adequate stochastic processes which can model the surplus of a (non-life) insurance company and to analyze the risk related quantities such as ruin time, ruin probability, expected discounted penalty function and expected discounted dividend/tax payments. The study of these ruin related quantities provides crucial information for actuaries and decision makers. This thesis consists of the study of four different insurance risk models which are essentially related. The ruin and related quantities are investigated by using different techniques, resulting in explicit or asymptotic expressions for the ruin time, the ruin probability, the expected discounted penalty function and the expected discounted tax payments. - La recherche en théorie du risque a été très dynamique au cours des dernières décennies. D'un point de vue théorique, les principaux objectifs sont de trouver des processus stochastiques adéquats permettant de modéliser le surplus d'une compagnie d'assurance non vie et d'analyser les mesures de risque, notamment le temps de ruine, la probabilité de ruine, l'espérance de la valeur actuelle de la fonction de pénalité et l'espérance de la valeur actuelle des dividendes et taxes. L'étude de ces mesures associées à la ruine fournit des informations cruciales pour les actuaires et les décideurs. Cette thèse consiste en l'étude des quatre différents modèles de risque d'assurance qui sont essentiellement liés. La ruine et les mesures qui y sont associées sont examinées à l'aide de différentes techniques, ce qui permet d'induire des expressions explicites ou asymptotiques du temps de ruine, de la probabilité de ruine, de l'espérance de la valeur actuelle de la fonction de pénalité et l'espérance de la valeur actuelle des dividendes et taxes.

The Omega model: from bankruptcy to occupation times in the red

Ruin occurs the first time when the surplus of a company or an institution is negative. In the Omega model, it is assumed that even with a negative surplus, the company can do business as usual until bankruptcy occurs. The probability of bankruptcy at a point of time only depends on the value of the negative surplus at that time. Under the assumption of Brownian motion for the surplus, the expected discounted value of a penalty at bankruptcy is determined, and hence the probability of bankruptcy. There is an intrinsic relation between the probability of no bankruptcy and an exposure random variable. In special cases, the distribution of the total time the Brownian motion spends below zero is found, and the Laplace transform of the integral of the negative part of the Brownian motion is expressed in terms of the Airy function of the first kind.

Free-running 4D whole-heart self-navigated golden angle MRI: Initial results.

PURPOSE: To test the hypothesis that both coronary anatomy and ventricular function can be assessed simultaneously using a single four-dimensional (4D) acquisition. METHODS: A free-running 4D whole-heart self-navigated acquisition incorporating a golden angle radial trajectory was implemented and tested in vivo in nine healthy adult human subjects. Coronary magnetic resonance angiography (MRA) datasets with retrospective selection of acquisition window width and position were extracted and quantitatively compared with baseline self-navigated electrocardiography (ECG) -triggered coronary MRA. From the 4D datasets, the left-ventricular end-systolic, end-diastolic volumes (ESV & EDV) and ejection fraction (EF) were computed and compared with values obtained from conventional 2D cine images. RESULTS: The 4D datasets enabled dynamic assessment of the whole heart with isotropic spatial resolution of 1.15 mm(3) . Coronary artery image quality was very similar to that of the ECG-triggered baseline scan despite some SNR penalty. A good agreement between 4D and 2D cine imaging was found for EDV, ESV, and EF. CONCLUSION: The hypothesis that both coronary anatomy and ventricular function can be assessed simultaneously in vivo has been tested positive. Retrospective and flexible acquisition window selection allows to best visualize each coronary segment at its individual time point of quiescence. Magn Reson Med, 2014. © 2014 Wiley Periodicals, Inc.

Governance by Contract? The impact of the International Finance Corporation's Social Conditionality on Worker Organization and Social Dialogue

This study considers the question of the relationship between private labour regulation and workers' capacity to take collective action through the lens of an empirical study of the International Finance Corporation's (IFC) 'performance standards' system of social and environmental conditionality. The study covered some 150 IFC client businesses in four world regions, drawing on data made public by the IFC as well as the results of a dedicated field survey that gathered information directly from workers, managers and union representatives. The study found that the application of the performance standards system has had remarkably little impact on union membership and social dialogue. In those few cases where change could be causally linked to the standards, the effect depended on the presence of workers' organizations that already had the capacity to take effective action on behalf of their members. The study also uncovered some prima facie evidence of breaches of freedom of association rights occurring with no reaction from IFC. The study concludes that the lack of impact is largely due to the private contractual structure that supposedly guarantees standards compliance.

The Feminization of Occupations and Change in Wages : a Panel Analysis of Britain, Germany, and Switzerland

In the past four decades, women have made major inroads into occupations previously dominated by men. This paper examines whether occupational feminization is accompanied by a decline in wages: Do workers suffer a wage penalty if they remain in, or move into, feminizing occupations? We analyze this question over the 1990s and 2000s in Britain, Germany, and Switzerland, using longitudinal panel data to estimate individual fixed effects for men and women. Moving from an entirely male to an entirely female occupation entails a loss in individual earnings of 13 percent in Britain, 7 percent in Switzerland, and 3 percent in Germany. The impact of occupational feminization on wages is not linear, but sets apart occupations holding more than 60 percent of women. Moving into such female occupations incurs a wage penalty. Contrary to the prevailing idea in economics, differences in productivity-human capital, job-specific skills, and time investment-do not fully explain the wage gap between male and female occupations. The wage penalty associated with working in a female occupation is also much larger where employer discretion is greater-in the private sector-than where wagesetting is guided by formal rules-the public sector. These findings suggest that wage disparities across male and female occupations are due to gender devaluation.

Are Public Private Partnerships that Rigid ? And Why ? : Evidence from Toll Road Concession Contracts

Transport concession contracts are commonly said to be standardized and too rigid. They would not allow public authorities to adapt them to evolving context and circumstances. This paper aims at challenging this view and, more particularly, the view that contractual rigidity for transport concessions is exogenous. Using a transaction cost framework, we disentangle between three main determinants of contractual rigidity: traffic uncertainty; connivance between contracting parties; quality of the institutional environment. Using an original database of toll road concession contracts, we observe a great variety of provisions for toll adjustment. We find that these exogenous determinants significantly influence contractual choices.

Dial M for Murder: A Case of Passion Killing, Criminal Evidence and Sultanic Power in Medieval India

This paper considers the structures and applications of the criminal judicial system in the Islamic Later Middle Period as it developed in India under the sultans of Delhi (1200-1400 CE). A fundamental issue in crime and punishment is the relationship between sultanic power and religious authority. Particularly at stake in this relationship is the question of who can sanction the highest form of punishment, i.e. the death penalty (siyāsa). Contemporary historians and scholars in the study of religion investigating the relationship between sharīʿa and siyāsa to reveal the extent and limits of sultanic power show a system of governance that allowed for the delegation of authority, particularly in the area of the judiciary, from the sultan down to viziers and judges. Some scholars depict the relationship between the ʿulamāʾ and the sultan as a kind of stand off. The actual dynamics of legal jurisdiction were much more complex. This study proposes a new interpretive framework for understanding the relationship between political power and religious authority through a critical analysis of the criminal judicial system, law, and historical narrative. In particular, I consider a murder case described by Shams al-dīn Sirāj ʿAfīf in one of the most significant histories written in the later Delhi Sultanate, the Tārīkh-i Fīrūzshāhī.