This textbook presents mathematical methods of risk modeling and analysis in an application-oriented manner. Financial and actuarial aspects are treated jointly, for example with regard to simulation methods, risk measures, and risk aggregation. The book thus provides a solid foundation for quantitatively oriented risk management across a wide range of fields and fosters an understanding of interrelationships that are often not addressed in discipline-specific literature. Numerous examples repeatedly establish a concrete link to practice.The book is aimed at students of business mathematics, economics, and industrial engineering at the bachelor&s and master&s level, as well as professionals working in banks, insurance companies, commercial enterprises, and consulting firms.The translation was done with the help of artificial intelligence. A  subsequent  human revision was done primarily in terms of content.