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Advanced mathematical methods for finance

Auteur :
Di Nunno Giulia
Øksendal Bernt Karsten, ed. scientifique
Publication :
Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books, 2011
Collection :
Mathematics and Statistics
Note :
Numerisation de l'édition de : New York : Springer Science+Business Media, LLC et Springer e-books, 2011
Bibliogr. Index
Résumé :
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, Lévy 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
Contenu :
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 applicationsin 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
URL :
Disponible en ligne
ISBN :
978-3-642-18412-3
Langue :
anglais
Type de document :
Ressource électronique
Thèmes :
Mathématiques financières
Finances, Modèles mathématiques
Investissements, Mathématiques
Mathematics
Finance
Distribution (Probability theory)
Economics, Statistics
Macroeconomics
Quantitative Finance
Probability Theory and Stochastic Processes
Macroeconomics/Monetary Economics
Financial Economics
Socio- and Econophysics, Population and Evolutionary Models
Statistics for Business/Economics/Mathematical Finance/Insurance