Weak Convergence of Financial Markets PDF Download
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Author: Jean-Luc Prigent
Publisher: Springer Science & Business Media
ISBN: 3540248315
Category : Business & Economics
Languages : en
Pages : 432
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Book Description
A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.
Author: Jean-Luc Prigent
Publisher: Springer Science & Business Media
ISBN: 3540248315
Category : Business & Economics
Languages : en
Pages : 432
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Book Description
A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.
Author: Mathias Külpmann
Publisher: Springer Science & Business Media
ISBN: 3540247653
Category : Business & Economics
Languages : en
Pages : 233
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Book Description
Mathias Külpmann presents a framework to evaluate whether the stock market is in line with underlying fundamentals. The new and revised edition offers an up to date introduction to the controversy between rational asset pricing and behavioural finance. Empirical evidence of stock market overreaction are investigated within the paradigms of rational asset pricing and behavioural finance. Although this monograph will not promise the reader to become a millionaire, it offers a road to obtain a deeper understanding of the forces which drive stock returns. It should be of interest to anyone interested in what drives performance in the stock market.
Author: Eckhard Platen
Publisher: Springer Science & Business Media
ISBN: 3540478566
Category : Business & Economics
Languages : en
Pages : 704
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Book Description
A framework for financial market modeling, the benchmark approach extends beyond standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. This book presents the necessary mathematical tools, followed by a thorough introduction to financial modeling under the benchmark approach, explaining various quantitative methods for the fair pricing and hedging of derivatives.
Author: Nicole Bäuerle
Publisher: Springer Science & Business Media
ISBN: 3642183247
Category : Mathematics
Languages : en
Pages : 393
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Book Description
The theory of Markov decision processes focuses on controlled Markov chains in discrete time. The authors establish the theory for general state and action spaces and at the same time show its application by means of numerous examples, mostly taken from the fields of finance and operations research. By using a structural approach many technicalities (concerning measure theory) are avoided. They cover problems with finite and infinite horizons, as well as partially observable Markov decision processes, piecewise deterministic Markov decision processes and stopping problems. The book presents Markov decision processes in action and includes various state-of-the-art applications with a particular view towards finance. It is useful for upper-level undergraduates, Master's students and researchers in both applied probability and finance, and provides exercises (without solutions).
Author: Yuliya Mishura
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110652994
Category : Mathematics
Languages : en
Pages : 222
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Book Description
The De Gruyter Series in Probability and Stochastics is devoted to the publication of high-level monographs and specialized graduate texts in any branch of modern probability theory and stochastics, along with their numerous applications in other parts of mathematics, physics and informatics, in economics and finance, and in the life sciences. The aim of the series is to present recent research results in the form of authoritative and comprehensive works that will serve the probability and stochastics community as basis for further research. Editorial Board Itai Benjamini, Weizmann Institute of Science, Israel Jean Bertoin, Universität Zürich, Switzerland Michel Ledoux, Université de Toulouse, France René L. Schilling, Technische Universität Dresden, Germany
Author: Attilio Meucci
Publisher: Springer Science & Business Media
ISBN: 3642009646
Category : Business & Economics
Languages : en
Pages : 547
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Book Description
Discusses in the practical and theoretical aspects of one-period asset allocation, i.e. market Modeling, invariants estimation, portfolia evaluation, and portfolio optimization in the prexence of estimation risk The book is software based, many of the exercises simulate in Matlab the solution to practical problems and can be downloaded from the book's web-site
Author: Ramaprasad Bhar
Publisher: Springer Science & Business Media
ISBN: 9783540251231
Category : Business & Economics
Languages : en
Pages : 264
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Book Description
Includes traditional elements of financial econometrics but is not yet another volume in econometrics. Discusses statistical and probability techniques commonly used in quantitative finance. The reader will be able to explore more complex structures without getting inundated with the underlying mathematics.
Author: Marco Avellaneda
Publisher: World Scientific
ISBN: 9814490598
Category : Mathematics
Languages : en
Pages : 363
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Book Description
This invaluable book contains lectures presented at the Courant Institute's Mathematical Finance Seminar. The audience consisted of academics from New York University and other universities, as well as practitioners from investment banks, hedge funds and asset-management firms.
Author: Damiano Brigo
Publisher: Springer Science & Business Media
ISBN: 354034604X
Category : Mathematics
Languages : en
Pages : 1016
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Book Description
The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swaptions interpolation technique and of the exogenous instantaneous correlation on the calibration outputs. A discussion of historical estimation of the instantaneous correlation matrix and of rank reduction has been added, and a LIBOR-model consistent swaption-volatility interpolation technique has been introduced. The old sections devoted to the smile issue in the LIBOR market model have been enlarged into a new chapter. New sections on local-volatility dynamics, and on stochastic volatility models have been added, with a thorough treatment of the recently developed uncertain-volatility approach. Examples of calibrations to real market data are now considered. The fast-growing interest for hybrid products has led to a new chapter. A special focus here is devoted to the pricing of inflation-linked derivatives. The three final new chapters of this second edition are devoted to credit. Since Credit Derivatives are increasingly fundamental, and since in the reduced-form modeling framework much of the technique involved is analogous to interest-rate modeling, Credit Derivatives -- mostly Credit Default Swaps (CDS), CDS Options and Constant Maturity CDS - are discussed, building on the basic short rate-models and market models introduced earlier for the default-free market. Counterparty risk in interest rate payoff valuation is also considered, motivated by the recent Basel II framework developments.
Author: Yuliya Mishura
Publisher: Elsevier
ISBN: 0081004885
Category : Mathematics
Languages : en
Pages : 196
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Book Description
Finance Mathematics is devoted to financial markets both with discrete and continuous time, exploring how to make the transition from discrete to continuous time in option pricing. This book features a detailed dynamic model of financial markets with discrete time, for application in real-world environments, along with Martingale measures and martingale criterion and the proven absence of arbitrage. With a focus on portfolio optimization, fair pricing, investment risk, and self-finance, the authors provide numerical methods for solutions and practical financial models, enabling you to solve problems both from mathematical and from financial point of view. - Calculations of Lower and upper prices, featuring practical examples - The simplest functional limit theorem proved for transition from discrete to continuous time - Learn how to optimize portfolio in the presence of risk factors
