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Die Nordrhein-Westfälische Akademie der Wissenschaften und der Künste ist eine Vereinigung der führenden Forscherinnen und Forscher des Landes. Sie wurde 1970 als Nachfolgeeinrichtung der Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen gegründet. Die Akademie ist in drei wissenschaftliche Klassen für Geisteswissenschaften, für Naturwissenschaften und Medizin sowie für Ingenieur- und Wirtschaftswissenschaften und in eine Klasse der Künste gegliedert. Mit Publikationen zu den wissenschaftlichen Vorträgen in den Klassensitzungen, zu öffentlichen Veranstaltungen und Symposien will die Akademie die Fach- und allgemeine Öffentlichkeit über die Arbeiten der Akademie und ihrer Forschungsstellen informieren.

Lighting. --- Optics. --- Servomechanisms.

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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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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.

Quantitative methods (economics) --- Finance --- Economics --- Mathematical statistics --- Mathematics --- Financial analysis --- Business economics --- financieel management --- economie --- statistiek --- financiële analyse --- econometrie --- wiskunde --- oplosmiddelen --- Mathématiques --- Finances --- Statistics --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Actuarial science. --- Mathematical models.