Advanced Mathematical Methods for Finance
Published on 7. October 2014
Book
Paperback/Softback
VIII, 536 pages
978-3-642-43551-5 (ISBN)
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, 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.
More details
Edition
2011 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 536 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 30 mm
Weight
814 gr
ISBN-13
978-3-642-43551-5 (9783642435515)
DOI
10.1007/978-3-642-18412-3
Schweitzer Classification
Other editions
Additional editions
Julia Di Nunno | Bernt Øksendal
Advanced Mathematical Methods for Finance
Book
03/2011
1st Edition
Springer
€106.99
Shipment within 7-9 days
Persons
Giulia Di Nunno and Bernt Øksendal are professors at the University of Oslo. Their work in stochastic analysis, control, and mathematical finance is internationally highly appreciated. They have been chairing the leadership of the large European ESF funded networking program AMaMeF in financial mathematics.
Content
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.