Some Applications of Markov Additive Processes as Models in Insurance and Financial Mathematics

Cette thèse est principalement constituée de trois articles traitant des processus markoviens additifs, des processus de Lévy et d'applications en finance et en assurance. Le premier chapitre est une introduction aux processus markoviens additifs (PMA), et une présentation du problème de ruine et de notions fondamentales des mathématiques financières. Le deuxième chapitre est essentiellement l'article "Lévy Systems and the Time Value of Ruin for Markov Additive Processes" écrit en collaboration avec Manuel Morales et publié dans la revue European Actuarial Journal. Cet article étudie le problème de ruine pour un processus de risque markovien additif. Une identification de systèmes de Lévy est obtenue et utilisée pour donner une expression de l'espérance de la fonction de pénalité actualisée lorsque le PMA est un processus de Lévy avec changement de régimes. Celle-ci est une généralisation des résultats existant dans la littérature pour les processus de risque de Lévy et les processus de risque markoviens additifs avec sauts "phase-type". Le troisième chapitre contient l'article "On a Generalization of the Expected Discounted Penalty Function to Include Deficits at and Beyond Ruin" qui est soumis pour publication. Cet article présente une extension de l'espérance de la fonction de pénalité actualisée pour un processus subordinateur de risque perturbé par un mouvement brownien. Cette extension contient une série de fonctions escomptée éspérée des minima successives dus aux sauts du processus de risque après la ruine. Celle-ci a des applications importantes en gestion de risque et est utilisée pour déterminer la valeur espérée du capital d'injection actualisé. Finallement, le quatrième chapitre contient l'article "The Minimal entropy martingale measure (MEMM) for a Markov-modulated exponential Lévy model" écrit en collaboration avec Romuald Hervé Momeya et publié dans la revue Asia-Pacific Financial Market. Cet article présente de nouveaux résultats en lien avec le problème de l'incomplétude dans un marché financier où le processus de prix de l'actif risqué est décrit par un modèle exponentiel markovien additif. Ces résultats consistent à charactériser la mesure martingale satisfaisant le critère de l'entropie. Cette mesure est utilisée pour calculer le prix d'une option, ainsi que des portefeuilles de couverture dans un modèle exponentiel de Lévy avec changement de régimes.

Understanding Economic Cycle Effects on Top Executive Compensation: An Analysis Applied to American NYSE Listed Companies.

Rapport de recherche présenté à la Faculté des arts et des sciences en vue de l'obtention du grade de Maîtrise en sciences économiques.

On the design of customized risk measures in insurance, the problem of capital allocation and the theory of fluctuations for Lévy processes

Dans cette thèse, nous étudions quelques problèmes fondamentaux en mathématiques financières et actuarielles, ainsi que leurs applications. Cette thèse est constituée de trois contributions portant principalement sur la théorie de la mesure de risques, le problème de l’allocation du capital et la théorie des fluctuations. Dans le chapitre 2, nous construisons de nouvelles mesures de risque cohérentes et étudions l’allocation de capital dans le cadre de la théorie des risques collectifs. Pour ce faire, nous introduisons la famille des "mesures de risque entropique cumulatifs" (Cumulative Entropic Risk Measures). Le chapitre 3 étudie le problème du portefeuille optimal pour le Entropic Value at Risk dans le cas où les rendements sont modélisés par un processus de diffusion à sauts (Jump-Diffusion). Dans le chapitre 4, nous généralisons la notion de "statistiques naturelles de risque" (natural risk statistics) au cadre multivarié. Cette extension non-triviale produit des mesures de risque multivariées construites à partir des données financiéres et de données d’assurance. Le chapitre 5 introduit les concepts de "drawdown" et de la "vitesse d’épuisement" (speed of depletion) dans la théorie de la ruine. Nous étudions ces concepts pour des modeles de risque décrits par une famille de processus de Lévy spectrallement négatifs.

Ambiguity on the insurer's side: the demand for insurance

Empirical evidence suggests that ambiguity is prevalent in insurance pricing and underwriting, and that often insurers tend to exhibit more ambiguity than the insured individuals (e.g., [23]). Motivated by these findings, we consider a problem of demand for insurance indemnity schedules, where the insurer has ambiguous beliefs about the realizations of the insurable loss, whereas the insured is an expected-utility maximizer. We show that if the ambiguous beliefs of the insurer satisfy a property of compatibility with the non-ambiguous beliefs of the insured, then there exist optimal monotonic indemnity schedules. By virtue of monotonicity, no ex-post moral hazard issues arise at our solutions (e.g., [25]). In addition, in the case where the insurer is either ambiguity-seeking or ambiguity-averse, we show that the problem of determining the optimal indemnity schedule reduces to that of solving an auxiliary problem that is simpler than the original one in that it does not involve ambiguity. Finally, under additional assumptions, we give an explicit characterization of the optimal indemnity schedule for the insured, and we show how our results naturally extend the classical result of Arrow [5] on the optimality of the deductible indemnity schedule.

Ambiguity on the insurer's side: the demand for insurance

Empirical evidence suggests that ambiguity is prevalent in insurance pricing and underwriting, and that often insurers tend to exhibit more ambiguity than the insured individuals (e.g., [23]). Motivated by these findings, we consider a problem of demand for insurance indemnity schedules, where the insurer has ambiguous beliefs about the realizations of the insurable loss, whereas the insured is an expected-utility maximizer. We show that if the ambiguous beliefs of the insurer satisfy a property of compatibility with the non-ambiguous beliefs of the insured, then there exist optimal monotonic indemnity schedules. By virtue of monotonicity, no ex-post moral hazard issues arise at our solutions (e.g., [25]). In addition, in the case where the insurer is either ambiguity-seeking or ambiguity-averse, we show that the problem of determining the optimal indemnity schedule reduces to that of solving an auxiliary problem that is simpler than the original one in that it does not involve ambiguity. Finally, under additional assumptions, we give an explicit characterization of the optimal indemnity schedule for the insured, and we show how our results naturally extend the classical result of Arrow [5] on the optimality of the deductible indemnity schedule.

Return and Volatility performance comparison of Ethical and Non-ethical publicly-listed financial services companies

Full Text / Article complet

Administrative control of companies in India

The joint stock company is an institution wielding immense socio economic _power over the ultimate progress and well -being of the nation. It is subjected to corresponding definable responsibilities towards all who depend on than. the shareholders.the employees the suppliers of raw materials. the consumers of its product: and society at Large. The company law is changing and must change with time and take note of the dynamics of trade and industry. Obviously it cannot be static and permanent while the basic economic and social philosophies and the technique of production and investment in the industrial sector change.‘ It provides a legal framework for the corporate form of business in which the organization capital and labour are brought. together in a particular form of relationship. The activities carried on within this corporate form is subjected to a gradual but steadily increasing control by the Government. A study of this oontrol is undertaken to better understand the present law and to suggest the path for further change

Receivable Management in Non Banking Finance Companies with Special Reference to Vehicle Financing

In the absence of entry barrier or regulatory restrictions, Non Banking Financial Companies frantically grew and accessed the public deposit without any regulatory control. The deposit of NBFCs grew from Rs. 41.9 crore in 1971 to 53116.0 crore in 1997. This growth was the result of a combined effect of increase in the number of NBFCs and increase in the amount of deposits. The deposits amazed as above was invested in various assets especially that in motor vehicles by these asset financing NBFCs. Various tactics were adopted by these NBFCs and their agents for recovering the receivable outstanding from such assets. Both central government and RBI were concerned about the protection of depositors‘ interest and various committees were set up to frame a comprehensive regulation for the functioning of these NBFCs.

Rashtriya Swasthya Bhima Yojana-Comprehensive Health Insurance Scheme (Rsby-Chis) In Kerala: A Study On The Effectiveness And Utilization Of The Scheme With Special Reference To Ernakulam And Wayanad Districts

Health insurance has become a necessity for the common man, next to food, clothing and shelter. The financing of health expense is either catastrophic or sometimes even frequently contracted illnesses, is a major cause of mental agony for the common man. The cost of care may sometimes result in the complete erosion of the family savings or may even lead to indebtedness as many studies on causes of rural indebtedness bear testimony (Jayalakshmi, 2006). A suitable cover by way of health insurance is all that is required to cope with such situations. Health care insurance rightly provides the mechanism for both individuals and families to mitigate the financial burden of medical expenses in the present context. Hence a well designed affordable health insurance policy is the need of the hour.Therefore, it is very significant to study the extent to which the beneficiaries in Kerala make use of the benefits provided by a social health insurance scheme like RSBY-CHIS. Based on the above pertinent points, this study assumes national relevance even though the geographical area of the study is limited to two districts of Kerala. The findings of the study will bring forth valuable inputs on the services availed by the beneficiaries of RSBYCHIS and take appropriate measures to improve the effectiveness of the scheme whereby maximum quality benefit could be availed by the poorest of the poor and develop the scheme as a real dawn of the new era of health for them

Determinants of Consumer Purchase Decisions of Health Insurance in Kerala

This research work was to study the level of awareness of consumers about health insurance concept and market, consumer perceptions about health insurance providers, schemes and various factors that influence buying decision of health insurance. There is need to bring entire age group – high risk and low risk under health insurance cover. Widening the cover of health insurance calls for indepth understanding of consumer thinking and extensive marketing efforts based on that. Hence the study of consumer perceptions and the impact of different contributing factors on consumer purchase decision assume significance to the marketer. Understanding the consumer thinking on health insurance will also be of relevance to governmental/non governmental agencies, as affordable health care to all is a policy objective of the government and new schemes are being launched in this area.

Smallholder group certification in Uganda - Analysis of internal control systems in two organic export companies

The organic agricultural sector of Uganda is among the most developed in Africa in terms of its professional institutional network and high growth rates of number of certified farmers and land area. Smallholder farmers are certified organic through contract production for export companies using a group certification scheme (internal control system - ICS). The ICS is a viable and well-accepted tool to certify small-scale producers in developing countries all over the world. Difficulties in certification are still stated to be among the main constraints for Uganda’s organic sector development. Therefore, this paper reports a qualitative case study comprising 34 expert interviews in two organic fresh-produce export companies in central Uganda, aiming to explore the challenges which underlie organic certification with ICS. The study shows that farmers cannot be labelled as ‘organic by default’ but deliberately engage in organic production as a marketing strategy. The small quantities purchased by the organic companies lead to a difficult marketing situation for the farmers, causing production and infiltration risks on the farm level. These risks require increased control that challenges the companies organizationally. The risks and control needs are a reason to involve farmers in ICS procedures and innovatively adapt the ICS by means of a bypass around formal perspective restrictions. The paper discusses different perspectives on risks, risk control and certification.