{"product_id":"random-dynamical-systems-in-finance","title":"Random Dynamical Systems in Finance","description":"\u003cp\u003eThe 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, \u003cstrong\u003eRandom Dynamical Systems in Finance\u003c\/strong\u003e shows how to model RDS in financial applications.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThrough 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.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWith 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. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54239735316824,"sku":"9781439867181","price":192.2,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781439867181_cd134a47-0bee-455a-af59-2c131b891992.jpg?v=1777607141","url":"https:\/\/agendabookshop.com\/products\/random-dynamical-systems-in-finance","provider":"Agenda Bookshop","version":"1.0","type":"link"}