Merton's Portfolio Optimization Problem in a Black Scholes Market with Non-Gaussian Stochastic Volatility of Ornstein-Uhlenbeck Type

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ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (248 download)

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Book Synopsis Merton's Portfolio Optimization Problem in a Black Scholes Market with Non-Gaussian Stochastic Volatility of Ornstein-Uhlenbeck Type by : Fred E. Benth

Download or read book Merton's Portfolio Optimization Problem in a Black Scholes Market with Non-Gaussian Stochastic Volatility of Ornstein-Uhlenbeck Type written by Fred E. Benth and published by . This book was released on 2001 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatitlity of Ornstein-Uhlenbeck Type

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatitlity of Ornstein-Uhlenbeck Type by :

Download or read book Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatitlity of Ornstein-Uhlenbeck Type written by and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatility of Ornstrein-Uhlenbeck Type

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (594 download)

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Book Synopsis Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatility of Ornstrein-Uhlenbeck Type by : Fred E. Benth

Download or read book Merton's Portfolio Optimization Problem in a Black & Scholes Market with Non-Gaussian Stochastic Volatility of Ornstrein-Uhlenbeck Type written by Fred E. Benth and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics of Finance

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834126
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics of Finance by : George Yin

Download or read book Mathematics of Finance written by George Yin and published by American Mathematical Soc.. This book was released on 2004 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers based on talks given at the first AMS-IMS-SIAM Joint Summer Research Conference on Mathematics of Finance held at Snowbird. This book includes such topics as modeling, estimation, optimization, control, and risk assessment and management. It is suitable for students interested in mathematical finance.

Applied Stochastic Control of Jump Diffusions

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Publisher : Springer
ISBN 13 : 3030027813
Total Pages : 439 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Applied Stochastic Control of Jump Diffusions by : Bernt Øksendal

Download or read book Applied Stochastic Control of Jump Diffusions written by Bernt Øksendal and published by Springer. This book was released on 2019-04-17 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Discussion includes the dynamic programming method and the maximum principle method, and their relationship. The text emphasises real-world applications, primarily in finance. Results are illustrated by examples, with end-of-chapter exercises including complete solutions. The 2nd edition adds a chapter on optimal control of stochastic partial differential equations driven by Lévy processes, and a new section on optimal stopping with delayed information. Basic knowledge of stochastic analysis, measure theory and partial differential equations is assumed.

Non-gaussian Merton-black-scholes Theory

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Publisher : World Scientific
ISBN 13 : 9814488615
Total Pages : 421 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Non-gaussian Merton-black-scholes Theory by : Svetlana Boyarchenko

Download or read book Non-gaussian Merton-black-scholes Theory written by Svetlana Boyarchenko and published by World Scientific. This book was released on 2002-03-28 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces an analytically tractable and computationally effective class of non-Gaussian models for shocks (regular Lévy processes of the exponential type) and related analytical methods similar to the initial Merton-Black-Scholes approach, which the authors call the Merton-Black-Scholes theory.The authors have chosen applications interesting for financial engineers and specialists in financial economics, real options, and partial differential equations (especially pseudodifferential operators); specialists in stochastic processes will benefit from the use of the pseudodifferential operators technique in non-Gaussian situations. The authors also consider discrete time analogues of perpetual American options and the problem of the optimal choice of capital, and outline several possible directions in which the methods of the book can be developed further.Taking account of a diverse audience, the book has been written in such a way that it is simple at the beginning and more technical in further chapters, so that it is accessible to graduate students in relevant areas and mathematicians without prior knowledge of finance or economics.

SIAM Journal on Control and Optimization

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Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2006 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1228 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 1228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Derivatives in Financial Markets with Stochastic Volatility

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Publisher : Cambridge University Press
ISBN 13 : 9780521791632
Total Pages : 222 pages
Book Rating : 4.7/5 (916 download)

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Book Synopsis Derivatives in Financial Markets with Stochastic Volatility by : Jean-Pierre Fouque

Download or read book Derivatives in Financial Markets with Stochastic Volatility written by Jean-Pierre Fouque and published by Cambridge University Press. This book was released on 2000-07-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, addresses pricing and hedging derivative securities in uncertain and changing market volatility.

Controlled Diffusion Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540709142
Total Pages : 314 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Controlled Diffusion Processes by : N. V. Krylov

Download or read book Controlled Diffusion Processes written by N. V. Krylov and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control theory is a relatively young branch of mathematics. The beginning of its intensive development falls in the late 1950s and early 1960s. ~urin~ that period an extensive literature appeared on optimal stochastic control using the quadratic performance criterion (see references in Wonham [76]). At the same time, Girsanov [25] and Howard [26] made the first steps in constructing a general theory, based on Bellman's technique of dynamic programming, developed by him somewhat earlier [4]. Two types of engineering problems engendered two different parts of stochastic control theory. Problems of the first type are associated with multistep decision making in discrete time, and are treated in the theory of discrete stochastic dynamic programming. For more on this theory, we note in addition to the work of Howard and Bellman, mentioned above, the books by Derman [8], Mine and Osaki [55], and Dynkin and Yushkevich [12]. Another class of engineering problems which encouraged the development of the theory of stochastic control involves time continuous control of a dynamic system in the presence of random noise. The case where the system is described by a differential equation and the noise is modeled as a time continuous random process is the core of the optimal control theory of diffusion processes. This book deals with this latter theory.

Monte Carlo Methods and Models in Finance and Insurance

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Publisher : CRC Press
ISBN 13 : 1420076191
Total Pages : 485 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Monte Carlo Methods and Models in Finance and Insurance by : Ralf Korn

Download or read book Monte Carlo Methods and Models in Finance and Insurance written by Ralf Korn and published by CRC Press. This book was released on 2010-02-26 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Rom

Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management

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Publisher : World Scientific
ISBN 13 : 9813276215
Total Pages : 598 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management by : Michele Leonardo Bianchi

Download or read book Handbook Of Heavy-tailed Distributions In Asset Management And Risk Management written by Michele Leonardo Bianchi and published by World Scientific. This book was released on 2019-03-08 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of heavy-tailed distributions allows researchers to represent phenomena that occasionally exhibit very large deviations from the mean. The dynamics underlying these phenomena is an interesting theoretical subject, but the study of their statistical properties is in itself a very useful endeavor from the point of view of managing assets and controlling risk. In this book, the authors are primarily concerned with the statistical properties of heavy-tailed distributions and with the processes that exhibit jumps. A detailed overview with a Matlab implementation of heavy-tailed models applied in asset management and risk managements is presented. The book is not intended as a theoretical treatise on probability or statistics, but as a tool to understand the main concepts regarding heavy-tailed random variables and processes as applied to real-world applications in finance. Accordingly, the authors review approaches and methodologies whose realization will be useful for developing new methods for forecasting of financial variables where extreme events are not treated as anomalies, but as intrinsic parts of the economic process.

High-Frequency Financial Econometrics

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Publisher : Princeton University Press
ISBN 13 : 0691161437
Total Pages : 683 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis High-Frequency Financial Econometrics by : Yacine Aït-Sahalia

Download or read book High-Frequency Financial Econometrics written by Yacine Aït-Sahalia and published by Princeton University Press. This book was released on 2014-07-21 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the statistical and econometric methods for analyzing high-frequency financial data High-frequency trading is an algorithm-based computerized trading practice that allows firms to trade stocks in milliseconds. Over the last fifteen years, the use of statistical and econometric methods for analyzing high-frequency financial data has grown exponentially. This growth has been driven by the increasing availability of such data, the technological advancements that make high-frequency trading strategies possible, and the need of practitioners to analyze these data. This comprehensive book introduces readers to these emerging methods and tools of analysis. Yacine Aït-Sahalia and Jean Jacod cover the mathematical foundations of stochastic processes, describe the primary characteristics of high-frequency financial data, and present the asymptotic concepts that their analysis relies on. Aït-Sahalia and Jacod also deal with estimation of the volatility portion of the model, including methods that are robust to market microstructure noise, and address estimation and testing questions involving the jump part of the model. As they demonstrate, the practical importance and relevance of jumps in financial data are universally recognized, but only recently have econometric methods become available to rigorously analyze jump processes. Aït-Sahalia and Jacod approach high-frequency econometrics with a distinct focus on the financial side of matters while maintaining technical rigor, which makes this book invaluable to researchers and practitioners alike.

Financial Modelling with Jump Processes

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Publisher : CRC Press
ISBN 13 : 1135437947
Total Pages : 552 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Financial Modelling with Jump Processes by : Peter Tankov

Download or read book Financial Modelling with Jump Processes written by Peter Tankov and published by CRC Press. This book was released on 2003-12-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic

Dynamic Asset Pricing Theory

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Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Asset Pricing Theory by : Darrell Duffie

Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.

Option Pricing and Estimation of Financial Models with R

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Publisher : John Wiley & Sons
ISBN 13 : 1119990203
Total Pages : 402 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Option Pricing and Estimation of Financial Models with R by : Stefano M. Iacus

Download or read book Option Pricing and Estimation of Financial Models with R written by Stefano M. Iacus and published by John Wiley & Sons. This book was released on 2011-02-23 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.

Multivariate Bayesian Statistics

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Publisher : CRC Press
ISBN 13 : 1420035266
Total Pages : 350 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Multivariate Bayesian Statistics by : Daniel B. Rowe

Download or read book Multivariate Bayesian Statistics written by Daniel B. Rowe and published by CRC Press. This book was released on 2002-11-25 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the two primary approaches to the classic source separation problem, only one does not impose potentially unreasonable model and likelihood constraints: the Bayesian statistical approach. Bayesian methods incorporate the available information regarding the model parameters and not only allow estimation of the sources and mixing coefficients, but