Stochastic Portfolio Theory

Author : E. Robert Fernholz
Publisher : Springer Science & Business Media
ISBN 13 : 1475736991
Total Pages : 190 pages
Book Rating : 4.91/5 ( download)

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Download or read book Stochastic Portfolio Theory written by E. Robert Fernholz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.

Author : E. Robert Fernholz
Publisher : Springer Science & Business Media
ISBN 13 : 9780387954059
Total Pages : 228 pages
Book Rating : 4.58/5 ( download)

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Download or read book Stochastic Portfolio Theory written by E. Robert Fernholz and published by Springer Science & Business Media. This book was released on 2002-04-12 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.

Author : E. Robert Fernholz
Publisher : Springer
ISBN 13 : 9781475737004
Total Pages : 178 pages
Book Rating : 4.09/5 ( download)

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Download or read book Stochastic Portfolio Theory written by E. Robert Fernholz and published by Springer. This book was released on 2013-03-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.

Author : Ioannis Karatzas
Publisher : American Mathematical Soc.
ISBN 13 : 1470460149
Total Pages : 309 pages
Book Rating : 4.43/5 ( download)

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Download or read book Portfolio Theory and Arbitrage: A Course in Mathematical Finance written by Ioannis Karatzas and published by American Mathematical Soc.. This book was released on 2021-08-12 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a mathematical theory for finance, based on a simple and intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics; it is shown to be equivalent to the existence of the so-called “Kelly” or growth-optimal portfolio, of the log-optimal portfolio, and of appropriate local martingale deflators. The resulting theory is powerful enough to treat in great generality the fundamental questions of hedging, valuation, and portfolio optimization. The book contains a considerable amount of new research and results, as well as a significant number of exercises. It can be used as a basic text for graduate courses in Probability and Stochastic Analysis, and in Mathematical Finance. No prior familiarity with finance is required, but it is assumed that readers have a good working knowledge of real analysis, measure theory, and of basic probability theory. Familiarity with stochastic analysis is also assumed, as is integration with respect to continuous semimartingales.

Author : William T. Ziemba
Publisher : World Scientific
ISBN 13 : 981256800X
Total Pages : 756 pages
Book Rating : 4.07/5 ( download)

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Download or read book Stochastic Optimization Models in Finance written by William T. Ziemba and published by World Scientific. This book was released on 2006 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reprint of one of the classic volumes on portfolio theory and investment, this book has been used by the leading professors at universities such as Stanford, Berkeley, and Carnegie-Mellon. It contains five parts, each with a review of the literature and about 150 pages of computational and review exercises and further in-depth, challenging problems.Frequently referenced and highly usable, the material remains as fresh and relevant for a portfolio theory course as ever.

Author : Jack Clark Francis
Publisher : John Wiley & Sons
ISBN 13 : 1118417208
Total Pages : 576 pages
Book Rating : 4.01/5 ( download)

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Download or read book Modern Portfolio Theory written by Jack Clark Francis and published by John Wiley & Sons. This book was released on 2013-01-18 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: A through guide covering Modern Portfolio Theory as well as the recent developments surrounding it Modern portfolio theory (MPT), which originated with Harry Markowitz's seminal paper "Portfolio Selection" in 1952, has stood the test of time and continues to be the intellectual foundation for real-world portfolio management. This book presents a comprehensive picture of MPT in a manner that can be effectively used by financial practitioners and understood by students. Modern Portfolio Theory provides a summary of the important findings from all of the financial research done since MPT was created and presents all the MPT formulas and models using one consistent set of mathematical symbols. Opening with an informative introduction to the concepts of probability and utility theory, it quickly moves on to discuss Markowitz's seminal work on the topic with a thorough explanation of the underlying mathematics. Analyzes portfolios of all sizes and types, shows how the advanced findings and formulas are derived, and offers a concise and comprehensive review of MPT literature Addresses logical extensions to Markowitz's work, including the Capital Asset Pricing Model, Arbitrage Pricing Theory, portfolio ranking models, and performance attribution Considers stock market developments like decimalization, high frequency trading, and algorithmic trading, and reveals how they align with MPT Companion Website contains Excel spreadsheets that allow you to compute and graph Markowitz efficient frontiers with riskless and risky assets If you want to gain a complete understanding of modern portfolio theory this is the book you need to read.

Author : Mark S. Joshi
Publisher : Cambridge University Press
ISBN 13 : 1107042313
Total Pages : 327 pages
Book Rating : 4.15/5 ( download)

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Download or read book Introduction to Mathematical Portfolio Theory written by Mark S. Joshi and published by Cambridge University Press. This book was released on 2013-07-11 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.

Author : Haim Levy
Publisher : Springer Science & Business Media
ISBN 13 : 0387293116
Total Pages : 439 pages
Book Rating : 4.10/5 ( download)

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Download or read book Stochastic Dominance written by Haim Levy and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to investment decision-making under uncertainty. The book covers three basic approaches to this process: the stochastic dominance approach; the mean-variance approach; and the non-expected utility approach, focusing on prospect theory and its modified version, cumulative prospect theory. Each approach is discussed and compared. In addition, this volume examines cases in which stochastic dominance rules coincide with the mean-variance rule and considers how contradictions between these two approaches may occur.

Author : Svetlozar T. Rachev
Publisher : Wiley
ISBN 13 : 9780470053164
Total Pages : 0 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization written by Svetlozar T. Rachev and published by Wiley. This book was released on 2008-02-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book extends traditional approaches of risk measurement and portfolio optimization by combining distributional models with risk or performance measures into one framework. Throughout these pages, the expert authors explain the fundamentals of probability metrics, outline new approaches to portfolio optimization, and discuss a variety of essential risk measures. Using numerous examples, they illustrate a range of applications to optimal portfolio choice and risk theory, as well as applications to the area of computational finance that may be useful to financial engineers.

Author : Fred Espen Benth
Publisher : Springer Science & Business Media
ISBN 13 : 3642187862
Total Pages : 172 pages
Book Rating : 4.65/5 ( download)

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Download or read book Option Theory with Stochastic Analysis written by Fred Espen Benth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a very basic and accessible introduction to option pricing, invoking a minimum of stochastic analysis and requiring only basic mathematical skills. It covers the theory essential to the statistical modeling of stocks, pricing of derivatives with martingale theory, and computational finance including both finite-difference and Monte Carlo methods.