Advanced mathematical methods for finance
Author(s)
Bibliographic Information
Advanced mathematical methods for finance
Springer, c2011
Available at 13 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"European Science Foundation, setting science agendas for Europe"--Cover
Includes bibliographical references
Description and Table of Contents
Description
This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Levy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed.
The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products.
This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.
Table of Contents
Dynamic risk measures.- Ambit processes and stochastic partial differential equations.- Fractional processes as models in stochastic finance.- Credit contagion in a long range dependent macroeconomic factor model.- Modeling information flows in financial markets.- An overview of comonotonicity and its applications in finance and insurance.- A general maximum principle for anticipative stochastic control and applications to insider trading.- Analyticity of the Wiener-Hopf factors and valuation of exotic options in Levy models.- Optimal liquidation of a pairs trade.- A PDE-based approach or pricing mortgage-backed securities.- Nonparametric methods for volatility density estimation.- Fractional smoothness and applications in finance.- Liquidity models in continuous and discrete times.- Some new BSDE results for an infinite-horizon stochastic control problem.- Functionals associated with gradient stochastic flows and nonlinear SPDEs.- Fractional smoothness and applications in Finance modeled by F-doubly stochastic Markov chains.- Exotic derivatives under stochastic volatility models with jumps.- Asymptotics of HARA utility from terminal wealth under proportional transaction costs with decision lag or execution delay and obligatory diversification.
by "Nielsen BookData"