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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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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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Insurance --- Assurance --- Statistical methods --- Mathematical models --- Modèles mathématiques --- Statistical methods. --- Mathematical models. --- Actuarial statistics --- Insurance statistics --- Mathematics --- -Insurance --- -KBC9912-IVB --- 10.03.a --- Assurance (Insurance) --- Coverage, Insurance --- Indemnity insurance --- Insurance coverage --- Insurance industry --- Insurance protection --- Mutual insurance --- Underwriting --- Finance --- Actuariaat ; Algemeen --- Modèles mathématiques --- Insurance - Statistical methods. --- Insurance - Mathematical models. --- KBC9912-IVB --- Insurance - Statistical methods --- Insurance - Mathematical models
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Mathematical statistics --- Risk (Insurance) --- Risque (Assurance) --- Mathematical models --- Modèles mathématiques --- Mathematical models. --- -ABB9212 --- 10.01.c --- Verzekeringswiskunde ; Risico- en credibiliteitstheorie --- Modèles mathématiques --- Mathématiques --- Risk (Insurance) - Mathematical models.
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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
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This book provides a comprehensive treatment of the theoretical concepts and modelling techniques of quantitative risk management and equips readers - whether financial risk analysts, actuaries, regulators, or students of quantitative finance - with practical tools to solve real-world problems.
Private finance --- International financial management --- Actuarial mathematics --- Risk management --- Finance --- Insurance --- Mathematical statistics --- Mathematical models --- MATHEMATICAL MODELS -- 658.30 --- Mathematical statistics. --- Gestion du risque --- Finances --- Assurance --- Statistique mathématique --- Mathematical models. --- Modèles mathématiques. --- Risk management - Mathematical models --- Finance - Mathematical models --- Insurance - Mathematical models --- Statistique mathématique --- Modèles mathématiques.
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Actuarial mathematics --- Processus stochastiques --- Stochastic processes --- Stochastische processen --- Insurance --- Finance --- Assurance --- Finances --- Mathematical models --- Modèles mathématiques --- Stochastic processes. --- Mathematical models. --- 519.218 --- -Insurance --- -Stochastic processes --- -Finance --- 332.015118 --- 10.01.a --- Random processes --- Probabilities --- Assurance (Insurance) --- Coverage, Insurance --- Indemnity insurance --- Insurance coverage --- Insurance industry --- Insurance protection --- Mutual insurance --- Underwriting --- Funding --- Funds --- Economics --- Currency question --- Special stochastic processes --- Verzekeringswiskunde ; Waarschijnlijkheidsrekening --- 519.218 Special stochastic processes --- Modèles mathématiques --- Insurance - Mathematical models. --- Finance - Mathematical models.
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Risk management for financial institutions is one of the key topics the financial industry has to deal with. The present volume is a mathematically rigorous text on solvency modeling. Currently, there are many new developments in this area in the financial and insurance industry (Basel III and Solvency II), but none of these developments provides a fully consistent and comprehensive framework for the analysis of solvency questions. Merz and Wüthrich combine ideas from financial mathematics (no-arbitrage theory, equivalent martingale measure), actuarial sciences (insurance claims modeling, cash flow valuation) and economic theory (risk aversion, probability distortion) to provide a fully consistent framework. Within this framework they then study solvency questions in incomplete markets, analyze hedging risks, and study asset-and-liability management questions, as well as issues like the limited liability options, dividend to shareholder questions, the role of re-insurance, etc. This work embeds the solvency discussion (and long-term liabilities) into a scientific framework and is intended for researchers as well as practitioners in the financial and actuarial industry, especially those in charge of internal risk management systems. Readers should have a good background in probability theory and statistics, and should be familiar with popular distributions, stochastic processes, martingales, etc.
Insurance -- Mathematical models. --- Insurance -- Statistical methods. --- Insurance. --- Business & Economics --- Economic Theory --- Finance --- Actuarial science. --- Mathematical models. --- Mathematics. --- Economics, Mathematical. --- Statistics. --- Quantitative Finance. --- Actuarial Sciences. --- Statistics for Business/Economics/Mathematical Finance/Insurance. --- Statistics --- Insurance --- Mathematics --- Finance. --- Statistics for Business, Management, Economics, Finance, Insurance. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Funding --- Funds --- Economics --- Currency question --- Economics, Mathematical . --- Statistics . --- Mathematical economics --- Methodology --- Social sciences --- Mathematics in Business, Economics and Finance. --- Actuarial Mathematics. --- Statistics in Business, Management, Economics, Finance, Insurance. --- Statistical methods.
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Assurances --- Automobilisme --- Verzekeringen --- Automobile insurance --- Mathematical models --- Statistical methods --- 368:629.113 <493> --- Insurance, Automobile --- -Insurance, Automobile --- -351.811<493> --- 368.21:629.113 <493> --- Automobile collision insurance --- Automobile liability insurance --- Collision insurance, Automobile --- Liability insurance, Automobile --- Insurance --- Verzekeringswezen-:-Mechanically powered vehicles. Motor vehicles. Automobile engineering--België --- 368:629.113 <493> Verzekeringswezen-:-Mechanically powered vehicles. Motor vehicles. Automobile engineering--België --- 368.1 --- -10.03.j --- 05.05.a --- Schadeverzekering van materiele zaken --- Actuariaat ; Schadeverzekeringen --- Motorrijtuigenverzekering ; Algemeen --- 368.1 Schadeverzekering van materiele zaken --- 10.03.j --- 351.811<493> --- Road traffic --- Actuarial mathematics --- Mathematical models. --- Statistical methods. --- Actuariat --- Actuarial science --- Actuarial science. --- Automobile insurance - Mathematical models --- Automobile insurance - Statistical methods --- Automobile insurance - Belgium
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The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively, after a reviewing process, worked out to this aim.
Finance -- Statistical methods -- Congresses. --- Insurance -- Mathematical models -- Congresses. --- Business & Economics --- Economic Theory --- Mathematics. --- Business. --- Management science. --- Insurance. --- Economics, Mathematical. --- Statistics. --- Economic theory. --- Macroeconomics. --- Quantitative Finance. --- Statistics, general. --- Business and Management, general. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Macroeconomics/Monetary Economics//Financial Economics. --- Finance. --- Funding --- Funds --- Economics --- Currency question --- Economic theory --- Political economy --- Social sciences --- Economic man --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Assurance (Insurance) --- Coverage, Insurance --- Indemnity insurance --- Insurance coverage --- Insurance industry --- Insurance protection --- Mutual insurance --- Underwriting --- Finance --- Trade --- Management --- Commerce --- Industrial management --- Economics, Mathematical . --- Statistics . --- Quantitative business analysis --- Problem solving --- Operations research --- Statistical decision --- Mathematical economics --- Methodology
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