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It is a challenging task to read the balance sheet of an insurance company. This derives from the fact that different positions are often measured by different yardsticks. Assets, for example, are mostly valued at market prices whereas liabilities are often measured by established actuarial methods. However, there is a general agreement that the balance sheet of an insurance company should be measured in a consistent way. Market-Consistent Actuarial Valuation presents powerful methods to measure liabilities and assets in a consistent way. The mathematical framework that leads to...

This book combines ideas from financial mathematics, actuarial sciences and economic theory to give a fully consistent framework for the analysis of solvency questions.

Vorteile:§- Vierfarbige und großformatige Einführung in den gesamten Stoff der Bachelor-Vorlesungen Mathematik 1 und 2 für Wirtschaftswissenschaftler§- Mathematik in der Wirtschaft: Wie funktioniert der Suchalgorithmus von Google?§- Anekdoten lockern Blockaden vor dem "Angstfach" Mathematik§§Die Mathematikausbildung spielt eine zentrale Rolle im wirtschaftswissenschaftlichen Studium, da sie methodische Grundlagen für zahlreiche Vorlesungen liefert (z.B. Mikro- und Makroökonomie, Finanzwirtschaft, Operations Management). Wo Optimierungsprobleme auftreten, ist die Mathematik...

This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice.Statistical modeling has a wide range of applications, and, depending on the application, the theoretical aspects may be weighted differently: here the main focus is on prediction rather than explanation. Starting with a...