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Option Pricing and Portfolio Optimization

Author: Ralf Korn

Publisher: American Mathematical Soc.

Published: 2001

Total Pages: 272

ISBN-13: 9780821821237

Understanding and working with the current models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Banks and financial houses all over the world recognize this and are avidly recruiting mathematicians, physicists, and other scientists with these skills. The mathematics involved in modern finance springs from the heart of probability and analysis: the Itô calculus, stochastic control, differential equations, martingales, and so on. The authors give rigorous treatments of these topics, while always keeping the applications in mind. Thus, the way in which the mathematics is developed is governed by the way it will be used, rather than by the goal of optimal generality. Indeed, most of purely mathematical topics are treated in extended "excursions" from the applications into the theory. Thus, with the main topic of financial modelling and optimization in view, the reader also obtains a self-contained and complete introduction to the underlying mathematics. This book is specifically designed as a graduate textbook. It could be used for the second part of a course in probability theory, as it includes as applied introduction to the basics of stochastic processes (martingales and Brownian motion) and stochastic calculus. It would also be suitable for a course in continuous-time finance that assumes familiarity with stochastic processes. The prerequisites are basic probability theory and calculus. Some background in stochastic processes would be useful, but not essential.

Numerical Methods and Optimization in Finance

Author: Manfred Gilli

Publisher: Academic Press

Published: 2019-08-30

Total Pages: 638

ISBN-13: 0128150653

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Computationally-intensive tools play an increasingly important role in financial decisions. Many financial problems-ranging from asset allocation to risk management and from option pricing to model calibration-can be efficiently handled using modern computational techniques. Numerical Methods and Optimization in Finance presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested empirically. This revised edition includes two new chapters, a self-contained tutorial on implementing and using heuristics, and an explanation of software used for testing portfolio-selection models. Postgraduate students, researchers in programs on quantitative and computational finance, and practitioners in banks and other financial companies can benefit from this second edition of Numerical Methods and Optimization in Finance. Introduces numerical methods to readers with economics backgrounds Emphasizes core simulation and optimization problems Includes MATLAB and R code for all applications, with sample code in the text and freely available for download

Option Pricing and Investment Strategies

Author: Richard M. Bookstaber

Publisher: McGraw-Hill Companies

Published: 1991

Total Pages: 330

ISBN-13:

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Portfolio Selection and Asset Pricing: Models of Financial Economics and Their Applications in Investing

Author: Jamil Baz

Publisher: McGraw Hill Professional

Published: 2022-09-06

Total Pages: 426

ISBN-13: 126427016X

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This uniquely comprehensive guide provides expert insights into everything from financial mathematics to the practical realities of asset allocation and pricing Investors like you typically have a choice to make when seeking guidance for portfolio selection―either a book of practical, hands-on approaches to your craft or an academic tome of theories and mathematical formulas. From three top experts, Portfolio Selection and Asset Pricing strikes the right balance with an extensive discussion of mathematical foundations of portfolio choice and asset pricing models, and the practice of asset allocation. This thorough guide is conveniently organized into four sections: Mathematical Foundations―normed vector spaces, optimization in discrete and continuous time, utility theory, and uncertainty Portfolio Models―single-period and continuous-time portfolio choice, analogies, asset allocation for a sovereign as an example, and liability-driven allocation Asset Pricing―capital asset pricing models, factor models, option pricing, and expected returns Robust Asset Allocation―robust estimation of optimization inputs, such as the Black-Litterman Model and shrinkage, and robust optimizers Whether you are a sophisticated investor or advanced graduate student, this high-level title combines rigorous mathematical theory with an emphasis on practical implementation techniques.

Portfolio Selection and Asset Pricing: Models of Financial Economics and Their Applications in Investing

Author: Erol Hakanoglu

Publisher: McGraw-Hill Education

Published: 2022-04-05

Total Pages: 320

ISBN-13: 9781264270156

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Top experts from PIMCO deliver a uniquely comprehensive guide for sophisticated investors and advanced graduate students—covering everything from financial mathematics to the practical realities of asset allocation and pricing Investors like you typically have a choice to make when seeking guidance for portfolio selection—either a book of practical, hands-on approaches to their craft or an academic tome of theories and mathematical formulas. Portfolio Selection and Asset Pricing strikes the right balance with an extensive discussion of mathematical foundations of portfolio choice and asset pricing models, and the practice of asset allocation. This guide is conveniently organized into four sections: Mathematical Foundations—normed vector spaces, optimization in discrete and continuous time, utility theory, and uncertainty Portfolio Models—single-period and continuous-time portfolio choice, analogies, asset allocation for a sovereign as an example, and liability-driven allocation Asset Pricing—capital asset pricing models, factor models, option pricing, and expected returns Robust Asset Allocation—estimation of optimization inputs, such as the Black-Litterman Model, shrinkage, and robust optimizers From a top-notch team with impeccable credentials, Portfolio Selection and Asset Pricing provides everything you need to generate long-term profits for your clients while reducing risk.

Option Pricing and Estimation of Financial Models with R

Author: Stefano M. Iacus

Publisher: John Wiley & Sons

Published: 2011-02-23

Total Pages: 402

ISBN-13: 1119990203

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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.

Portfolio Optimization and Performance Analysis

Author: Jean-Luc Prigent

Publisher: CRC Press

Published: 2007-05-07

Total Pages: 451

ISBN-13: 142001093X

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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

Analysis, Geometry, and Modeling in Finance

Author: Pierre Henry-Labordere

Publisher: CRC Press

Published: 2008-09-22

Total Pages: 403

ISBN-13: 1420087002

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Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

Asset Pricing and Portfolio Choice Theory

Author: Kerry Back

Publisher: Financial Management Associati

Published: 2010

Total Pages: 504

ISBN-13: 0195380614

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This book is intended as a textbook for Ph.D. students in finance and as a reference book for academics. It is written at an introductory level but includes detailed proofs and calculations as section appendices. It covers the classical results on single-period, discrete-time, and continuous-time models. It also treats various proposed explanations for the equity premium and risk-free rate puzzles: persistent heterogeneous idiosyncratic risks, internal habits, external habits, and recursive utility. Most of the book assumes rational behavior, but two topics important for behavioral finance are covered: heterogeneous beliefs and non-expected-utility preferences. There are also chapters on asymmetric information and production models. The book includes numerous exercises designed to provide practice with the concepts and also to introduce additional results. Each chapter concludes with a notes and references section that supplies references to additional developments in the field.

Robust Portfolio Optimization and Management

Author: Frank J. Fabozzi

Publisher: John Wiley & Sons

Published: 2007-04-27

Total Pages: 513

ISBN-13: 0470164891

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Praise for Robust Portfolio Optimization and Management "In the half century since Harry Markowitz introduced his elegant theory for selecting portfolios, investors and scholars have extended and refined its application to a wide range of real-world problems, culminating in the contents of this masterful book. Fabozzi, Kolm, Pachamanova, and Focardi deserve high praise for producing a technically rigorous yet remarkably accessible guide to the latest advances in portfolio construction." --Mark Kritzman, President and CEO, Windham Capital Management, LLC "The topic of robust optimization (RO) has become 'hot' over the past several years, especially in real-world financial applications. This interest has been sparked, in part, by practitioners who implemented classical portfolio models for asset allocation without considering estimation and model robustness a part of their overall allocation methodology, and experienced poor performance. Anyone interested in these developments ought to own a copy of this book. The authors cover the recent developments of the RO area in an intuitive, easy-to-read manner, provide numerous examples, and discuss practical considerations. I highly recommend this book to finance professionals and students alike." --John M. Mulvey, Professor of Operations Research and Financial Engineering, Princeton University