Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.

CreditRisk+ is an important and widely implemented default-mode model of portfolio credit risk, based on a methodology borrowed from actuarial mathematics. This book gives an account of the status quo as well as of new and recent developments of the credit risk model CreditRisk+, which is widely used in the banking industry. It gives an introduction to the model itself and to its ability to describe, manage and price credit risk. The book is intended for an audience of practitioners in banking and finance, as well as for graduate students and researchers in the field of financial mathematics and banking. It contains carefully refereed contributions from experts in the field, selected for mutual consistency and edited for homogeneity of style, notation, etc. The discussion ranges from computational methods and extensions for special forms of credit business to statistical calibrations and practical implementations. This unique and timely book constitutes an indispensable tool for both practitioners and academics working in the evaluation of credit risk.

Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.

CreditRisk+ is an important and widely implemented default-mode model of portfolio credit risk, based on a methodology borrowed from actuarial mathematics. This book gives an account of the status quo as well as of new and recent developments of the credit risk model CreditRisk+, which is widely used in the banking industry. It gives an introduction to the model itself and to its ability to describe, manage and price credit risk. The book is intended for an audience of practitioners in banking and finance, as well as for graduate students and researchers in the field of financial mathematics and banking. It contains carefully refereed contributions from experts in the field, selected for mutual consistency and edited for homogeneity of style, notation, etc. The discussion ranges from computational methods and extensions for special forms of credit business to statistical calibrations and practical implementations. This unique and timely book constitutes an indispensable tool for both practitioners and academics working in the evaluation of credit risk.