Random Dynamical Systems in Finance - Brossura

Swishchuk, Anatoliy; Islam, Shafiqul

Brossura

ISBN 10: 0367380145 ISBN 13: 9780367380144

Casa editrice: Routledge, 2019

Riassunto

The theory and applications of random dynamical systems (RDS) are at the cutting edge of research in mathematics and economics, particularly in modeling the long-run evolution of economic systems subject to exogenous random shocks. Despite this interest, there are no books available that solely focus on RDS in finance and economics. Exploring this emerging area, Random Dynamical Systems in Finance shows how to model RDS in financial applications.

Through numerous examples, the book explains how the theory of RDS can describe the asymptotic and qualitative behavior of systems of random and stochastic differential/difference equations in terms of stability, invariant manifolds, and attractors. The authors present many models of RDS and develop techniques for implementing RDS as approximations to financial models and option pricing formulas. For example, they approximate geometric Markov renewal processes in ergodic, merged, double-averaged, diffusion, normal deviation, and Poisson cases and apply the obtained results to option pricing formulas.

With references at the end of each chapter, this book provides a variety of RDS for approximating financial models, presents numerous option pricing formulas for these models, and studies the stability and optimal control of RDS. The book is useful for researchers, academics, and graduate students in RDS and mathematical finance as well as practitioners working in the financial industry.

Su questo libro

Informazioni sull'autore

Swishchuk, Anatoliy ; Islam, Shafiqul

Dalla quarta di copertina

With extensive end-of-chapter references, this book provides a variety of RDS for approximating financial models, presents numerous option pricing formulas for these models, and studies the stability and optimal control of RDS. Through numerous examples, the authors explain how the theory of RDS can describe the asymptotic and qualitative behavior of systems of random and stochastic differential/difference equations in terms of stability, invariant manifolds, and attractors. They also develop techniques for implementing RDS as approximations to financial models and option pricing formulas.

Dettagli dell'edizione

• Editore: Routledge
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 0367380145
• ISBN 13: 9780367380144
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 357
• Contatto del produttore: Taylor and Francis, GPSR Taylor and Francis; gpsr@taylorandfrancis.com; ; Taylor & Francis Verlag GmbH, Kaufingerstraße 24; München; 80331; Germania