Advanced Mathematical Methods for Finance

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Publisher : Springer Science & Business Media
ISBN 13 : 364218412X
Total Pages : 532 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advanced Mathematical Methods for Finance by : Julia Di Nunno

Download or read book Advanced Mathematical Methods for Finance written by Julia Di Nunno and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Backward Stochastic Differential Equations

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Publisher : CRC Press
ISBN 13 : 9780582307339
Total Pages : 236 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis Backward Stochastic Differential Equations by : N El Karoui

Download or read book Backward Stochastic Differential Equations written by N El Karoui and published by CRC Press. This book was released on 1997-01-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.

Convex Duality and Financial Mathematics

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Publisher : Springer
ISBN 13 : 3319924923
Total Pages : 162 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Convex Duality and Financial Mathematics by : Peter Carr

Download or read book Convex Duality and Financial Mathematics written by Peter Carr and published by Springer. This book was released on 2018-07-18 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality relationship in dynamic hedging of contingent claims

Advances in Finance and Stochastics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540434641
Total Pages : 346 pages
Book Rating : 4.4/5 (346 download)

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Book Synopsis Advances in Finance and Stochastics by : Klaus Sandmann

Download or read book Advances in Finance and Stochastics written by Klaus Sandmann and published by Springer Science & Business Media. This book was released on 2002-04-23 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many areas of finance and stochastics, significant advances have been made since this field of research was opened by Black, Scholes and Merton in 1973. This volume contains a collection of original articles by a number of highly distinguished authors, on research topics that are currently in the focus of interest of both academics and practitioners.

Stochastic Finance

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110463458
Total Pages : 608 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Stochastic Finance by : Hans Föllmer

Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-07-25 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This fourth, newly revised edition contains more than one hundred exercises. It also includes material on risk measures and the related issue of model uncertainty, in particular a chapter on dynamic risk measures and sections on robust utility maximization and on efficient hedging with convex risk measures. Contents: Part I: Mathematical finance in one period Arbitrage theory Preferences Optimality and equilibrium Monetary measures of risk Part II: Dynamic hedging Dynamic arbitrage theory American contingent claims Superhedging Efficient hedging Hedging under constraints Minimizing the hedging error Dynamic risk measures

Modeling, Measuring and Managing Risk

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Author :
Publisher : World Scientific
ISBN 13 : 9812708723
Total Pages : 303 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Modeling, Measuring and Managing Risk by : Georg Ch Pflug

Download or read book Modeling, Measuring and Managing Risk written by Georg Ch Pflug and published by World Scientific. This book was released on 2007 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the market to treat single- and multi-period risk measures (risk functionals) in a thorough, comprehensive manner. It combines the treatment of properties of the risk measures with the related aspects of decision making under risk.The book introduces the theory of risk measures in a mathematically sound way. It contains properties, characterizations and representations of risk functionals for single-period and multi-period activities, and also shows the embedding of such functionals in decision models and the properties of these models.

Portfolio Optimization and Performance Analysis

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Author :
Publisher : CRC Press
ISBN 13 : 142001093X
Total Pages : 451 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Portfolio Optimization and Performance Analysis by : Jean-Luc Prigent

Download or read book Portfolio Optimization and Performance Analysis written by Jean-Luc Prigent and published by CRC Press. This book was released on 2007-05-07 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: In answer to the intense development of new financial products and the increasing complexity of portfolio management theory, Portfolio Optimization and Performance Analysis offers a solid grounding in modern portfolio theory. The book presents both standard and novel results on the axiomatics of the individual choice in an uncertain framework, cont

Indifference Pricing

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Publisher : Princeton University Press
ISBN 13 : 0691138834
Total Pages : 427 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Indifference Pricing by : René Carmona

Download or read book Indifference Pricing written by René Carmona and published by Princeton University Press. This book was released on 2009-01-18 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals

Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju

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Publisher : World Scientific
ISBN 13 : 981459654X
Total Pages : 618 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju by : Zhen-qing Chen

Download or read book Festschrift Masatoshi Fukushima: In Honor Of Masatoshi Fukushima's Sanju written by Zhen-qing Chen and published by World Scientific. This book was released on 2014-11-27 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains original research papers by leading experts in the fields of probability theory, stochastic analysis, potential theory and mathematical physics. There is also a historical account on Masatoshi Fukushima's contribution to mathematics, as well as authoritative surveys on the state of the art in the field.

Advanced Financial Modelling

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110213133
Total Pages : 465 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Advanced Financial Modelling by : Hansjörg Albrecher

Download or read book Advanced Financial Modelling written by Hansjörg Albrecher and published by Walter de Gruyter. This book was released on 2009 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches. The volume is related to a a ~Special Semester on Stochastics with Emphasis on Financea (TM) that took place from September to December 2008 at the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences in Linz, Austria

Stochastic Finance

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110218054
Total Pages : 557 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Stochastic Finance by : Hans Föllmer

Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter. This book was released on 2011-01-28 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits. First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives. Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage. The first part of the book contains a study of a simple one-period model, which also serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. This third revised and extended edition now contains more than one hundred exercises. It also includes new material on risk measures and the related issue of model uncertainty, in particular a new chapter on dynamic risk measures and new sections on robust utility maximization and on efficient hedging with convex risk measures.

On Quasiconvex Conditional Maps. Duality Results and Applications to Finance

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Author :
Publisher : Ledizioni
ISBN 13 : 8895994590
Total Pages : 143 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis On Quasiconvex Conditional Maps. Duality Results and Applications to Finance by : Marco Maggis

Download or read book On Quasiconvex Conditional Maps. Duality Results and Applications to Finance written by Marco Maggis and published by Ledizioni. This book was released on 2011 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tychastic Measure of Viability Risk

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Publisher : Springer
ISBN 13 : 3319081292
Total Pages : 136 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Tychastic Measure of Viability Risk by : Jean-Pierre Aubin

Download or read book Tychastic Measure of Viability Risk written by Jean-Pierre Aubin and published by Springer. This book was released on 2014-08-06 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a forecasting mechanism of the price intervals for deriving the SCR (solvency capital requirement) eradicating the risk during the exercise period on one hand and measuring the risk by computing the hedging exit time function associating with smaller investments the date until which the value of the portfolio hedges the liabilities on the other. This information, summarized under the term “tychastic viability measure of risk” is an evolutionary alternative to statistical measures, when dealing with evolutions under uncertainty. The book is written by experts in the field and the target audience primarily comprises research experts and practitioners.

Lectures on Stochastic Programming

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Author :
Publisher : SIAM
ISBN 13 : 089871687X
Total Pages : 446 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Lectures on Stochastic Programming by : Alexander Shapiro

Download or read book Lectures on Stochastic Programming written by Alexander Shapiro and published by SIAM. This book was released on 2009-10-08 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive treatment of optimization problems involving uncertain parameters for which stochastic models are available.

Risk And Stochastics: Ragnar Norberg

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Publisher : World Scientific
ISBN 13 : 1786341964
Total Pages : 319 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Risk And Stochastics: Ragnar Norberg by : Pauline Barrieu

Download or read book Risk And Stochastics: Ragnar Norberg written by Pauline Barrieu and published by World Scientific. This book was released on 2019-04-18 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: with an autobiography from Ragnar NorbergThe Risk and Stochastics Conference, held at the Royal Statistical Society in April 2015, brought together academics from the worlds of actuarial science, stochastic calculus, finance and statistics to celebrate the achievements of Professor Ragnar Norberg as he turned 70. After the conference, Ragnar Norberg suddenly fell very ill and passed away; this book honours his life and work.This collection of articles is written by speakers of the conference, themselves respected academics who have influenced and been influenced by the life and work of Professor Norberg. His professional and academic achievements are celebrated here, most significantly the instrumental work he put into setting up the world-renowned Risk and Stochastics Enterprise at the London School of Economics (LSE). Subjects covered include discussion of risk measurements, ruin constraint, supporting stable pensions, filtration in discrete time, Riesz means and Beurling moving averages and orthonormal polynomial expansions. Also featured are notes from contributors giving account of their personal relations with Professor Norberg, as well as an autobiographical chapter from the man himself.Aimed at graduate level students and researchers interested in the life and work of Ragnar Norberg, this book provides a unique opportunity to reflect on and understand key findings and ground-breaking research in modern actuarial and financial mathematics and their interface, while giving intimate insights into the life of a leading academic mind.

Finance at Fields

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Publisher : World Scientific
ISBN 13 : 9814407887
Total Pages : 598 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Finance at Fields by : Matheus R. Grasselli

Download or read book Finance at Fields written by Matheus R. Grasselli and published by World Scientific. This book was released on 2013 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding collection of articles includes papers presented at the Fields Institute, Toronto, as part of the Thematic Program in Quantitative Finance that took place in the first six months of the year 2010. The scope of the volume in very broad, including papers on foundational issues in mathematical finance, papers on computational finance, and papers on derivatives and risk management. Many of the articles contain path-breaking insights that are relevant to the developing new order of post-crisis financial risk management.

Stochastic Analysis and Applications to Finance

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Author :
Publisher : World Scientific
ISBN 13 : 9814383570
Total Pages : 465 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Stochastic Analysis and Applications to Finance by : Tusheng Zhang

Download or read book Stochastic Analysis and Applications to Finance written by Tusheng Zhang and published by World Scientific. This book was released on 2012 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. It covers the topics ranging from Markov processes, backward stochastic differential equations, stochastic partial differential equations, and stochastic control, to risk measure and risk theory.