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The recent financial crisis has heightened the need for appropriate methodologies for managing and monitoring complex risks in financial markets. The measurement, management, and regulation of risks in portfolios composed of credits, credit derivatives, or life insurance contracts is difficult because of the nonlinearities of risk models, dependencies between individual risks, and the several thousands of contracts in large portfolios. The granularity principle was introduced in the Basel regulations for credit risk to solve these difficulties in computing capital reserves. In this book, authors Patrick Gagliardini and Christian Gouriéroux provide the first comprehensive overview of the granularity theory and illustrate its usefulness for a variety of problems related to risk analysis, statistical estimation, and derivative pricing in finance and insurance. They show how the granularity principle leads to analytical formulas for risk analysis that are simple to implement and accurate even when the portfolio size is large.

Money market. Capital market --- Finance --- Insurance --- Mathematical models --- Finance - Mathematical models --- Insurance - Mathematical models --- Mathematical models.

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"The substantially updated third edition of the popular Actuarial Mathematics for Life Contingent Risks is suitable for advanced undergraduate and graduate students of actuarial science, for trainee actuaries preparing for professional actuarial examinations, and for life insurance practitioners who wish to increase or update their technical knowledge. The authors provide intuitive explanations alongside mathematical theory, equipping readers to understand the material in sufficient depth to apply it in real world situations and to adapt their results in a changing insurance environment. Topics include modern actuarial paradigms, such as multiple state models, cash flow projection methods and option theory, all of which are required for managing the increasingly complex range of contemporary long-term insurance products"--

Insurance --- Risk (Insurance) --- Mathematics --- Mathematical models --- Business mathematics --- Actuarial science --- Risk --- 519.2 --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Insurance - Mathematics - Textbooks --- Risk (Insurance) - Mathematical models - Textbooks --- Insurance - Mathematics --- Risk (Insurance) - Mathematical models

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This self-contained module for independent study covers the subjects most often needed by non-mathematics graduates, such as fundamental calculus, linear algebra, probability, and basic numerical methods. The easily-understandable text of "Introduction to Actuarial and Mathematical Methods" features examples, motivations, and lots of practice from a large number of end-of-chapter questions. Questions range from short calculations to large project-based assignments, all designed to promote independent thinking and the application of mathematical ideas. Model solutions are included. The intuitive organization of "Introduction to Actuarial and Mathematical Methods" maximizes its usefulness as a means of self-study and as a reference source. Financial concepts and terminology introduce every mathematical concept and theory. For readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute, "Introduction to Actuarial and Mathematical Methods" can provide a consistency of mathematical knowledge from the outset. -- From book cover.

Finance -- Mathematical models. --- Financial engineering. --- Insurance -- Mathematical models. --- Insurance --- Business mathematics --- Actuarial science --- Finance --- Business & Economics --- Mathematics --- Mathematical models --- Financial statistics

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The book gives a comprehensive treatment of the classical and modern ruin probability theory. Some of the topics are Lundberg's inequality, the Cramer-Lundberg approximation, exact solutions, other approximations (e.g., for heavy-tailed claim size distributions), finite horizon ruin probabilities, extensions of the classical compound Poisson model to allow for reserve-dependent premiums, Markov-modulation, periodicity, change of measure techniques, phase-type distributions as a computational vehicle and the connection to other applied probability areas, like queueing theory. In this substantia

Mathematical statistics --- Insurance --- Risk --- Assurance --- Risque --- Mathematics --- Mathématiques --- Insurance -- Mathematics. --- Risk (Insurance) -- Mathematical models. --- Risk. --- Finance --- Business & Economics --- Mathematics. --- Mathématiques --- Economics --- Uncertainty --- Probabilities --- Profit --- Risk-return relationships --- Business mathematics --- Actuarial science --- E-books

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The interaction between mathematicians and statisticians reveals to be an effective approach for dealing with actuarial, insurance and financial problems, both in an academic and in an operative perspective. The international conference MAF 2008, held at the University Ca’ Foscari of Venezia (Italy) in 2008, had precisely this purpose, and the collection here published gathers a selection of about the one hundred papers presented at the conference and successively referred and reviewed to this aim. They cover a wide variety of subjects in actuarial, insurance and financial fields, all treated in light of the successful cooperation between the two quantitative approaches.

Finance -- Statistical methods -- Congresses. --- Finance -- Statistical methods. --- Insurance -- Mathematical models -- Congresses. --- Insurance -- Mathematical models. --- Finance --- Insurance --- Business & Economics --- Economic Theory --- Statistical methods --- Mathematical models --- Mathematical statistics. --- Economics --- Economic theory --- Political economy --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Mathematics. --- Business mathematics. --- Applied mathematics. --- Engineering mathematics. --- Economics, Mathematical. --- Actuarial science. --- Statistics. --- Macroeconomics. --- Quantitative Finance. --- Actuarial Sciences. --- Business Mathematics. --- Statistical Theory and Methods. --- Macroeconomics/Monetary Economics//Financial Economics. --- Applications of Mathematics. --- Social sciences --- Economic man --- Statistics --- Probabilities --- Sampling (Statistics) --- Finance. --- Math --- Science --- Arithmetic, Commercial --- Business --- Business arithmetic --- Business math --- Commercial arithmetic --- Funding --- Funds --- Currency question --- Economics, Mathematical . --- Statistics . --- Engineering --- Engineering analysis --- Mathematical analysis --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Mathematical economics --- Methodology