Bücher der Reihe Chapman & Hall/CRC Financial Mathematics Series

Illustrating mathematical models for structured credit with practical examples, this book presents an introduction to the foundations of structured credit portfolio modeling. It features material on estimation of asset correlations, and benchmark correlations based on securitizations of benchmark portfolios in the market.

Presents an overview of the theoretical, numerical, and empirical aspects of using jump processes in financial modeling. This book demonstrates that the concepts and tools necessary for understanding and implementing models with jumps can be more intuitive that those involved in the Black Scholes and diffusion models.

Risk management combines considerable quantitative skills with practical and intuitive competencies. Presenting both mathematical aspects and practical skills, this book introduces the foundations of risk management and shows how these concepts are used to create practical risk management systems.

Applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. This work introduces tools and methods, including differential geometry, spectral decomposition, and supersymmetry, and applies these methods to practical problems in finance. It focuses on the calibration and dynamics of implied volatility.

Written by two leaders in quantitative research, this book compares various numerical methods for solving high-dimensional nonlinear problems arising in option pricing. Designed for practitioners, it is the first authored book to discuss nonlinear Black-Scholes PDEs and compare the efficiency of many different methods, including novel techniques for pricing options, calibrating models, and more. The book helps quants develop both their analytical and numerical expertise, building intuition through numerous real-world examples of numerical implementation.

Intended for practitioners, researchers and graduate students in quantitative finance, computer science and related fields, this book serves as a handbook for design and implementation of financial models with relevant numerical methods on different HPC platforms in banks, insurance companies, pensions, asset-management companies and trading firms.

This classroom-tested text provides a deep understanding of derivative contracts. Unlike much of the existing literature, the book treats price as a number of units of one asset needed for an acquisition of a unit of another asset instead of expressing prices in dollar terms exclusively. This numeraire approach leads to simpler pricing options for complex products, such as barrier, lookback, quanto, and Asian options. With many examples and exercises, the text relies on intuition and basic principles, rather than technical computations.