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  • Textbook
  • © 2002

Stochastic Portfolio Theory

  • Author has served as chief investment officer for INTECH, where this theory has been the basis for investment strategies for over a decade

  • Provides an introduction to this innovative theory and its applications

Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 48)

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-1-4757-3699-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 109.00
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
  2. Stochastic Portfolio Theory

    • E. Robert Fernholz
    Pages 1-24
  3. Stock Market Behavior and Diversity

    • E. Robert Fernholz
    Pages 25-42
  4. Functionally Generated Portfolios

    • E. Robert Fernholz
    Pages 43-67
  5. Portfolios of Stocks Selected by Rank

    • E. Robert Fernholz
    Pages 69-92
  6. Stable Models for the Distribution of Capital

    • E. Robert Fernholz
    Pages 93-118
  7. Performance of Functionally Generated Portfolios

    • E. Robert Fernholz
    Pages 119-142
  8. Applications of Stochastic Portfolio Theory

    • E. Robert Fernholz
    Pages 143-164
  9. Back Matter

    Pages 165-178

About this book

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. On a practical level, stochastic portfolio theory has been the basis for strategies used for over a decade by the institutional equity manager INTECH, where the author has served as chief investment officer.
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.

Keywords

  • Investment
  • Portfolio
  • Portfolio Theory
  • Rating
  • local time
  • mathematical finance
  • portfolio investment theory
  • stochastic portfolio theory

Reviews

From the reviews:

MATHEMATICAL REVIEWS

"We recommend this monograph to all researchers and graduate students in mathematical finance; it is easy to read, self-contained, not boring at all, and with lots of ideas for further research."

"The monograph introduces stochastic portfolio theory, a novel mathematical framework for analyzing portfolio behavior and equity market structure, and which is intended for investment professionals and students of mathematical finance. … We recommend this monograph to all researchers and graduate students in mathematical finance; it is easy to read, self-contained, not boring at all, and with lots of ideas for further research." (Gheorghe Stoica, Mathematical Reviews, 2003 a)

"This book develops a descriptive theory of portfolios in financial markets. … It can be used as a theoretical tool to provide insight into questions of market equilibrium and arbitrage, and to construct portfolios with controlled behaviour. In practice, it can be applied to portfolio optimization and performance analysis, and the tools developed will be useful for these purposes. … it will help to understand why certain investment strategies produce certain results … ." (Martin Schweizer, Zentralblatt MATH, Vol. 1049, 2004)

 

Authors and Affiliations

  • INTECH, Princeton, USA

    E. Robert Fernholz

Bibliographic Information

  • Book Title: Stochastic Portfolio Theory

  • Authors: E. Robert Fernholz

  • Series Title: Stochastic Modelling and Applied Probability

  • DOI: https://doi.org/10.1007/978-1-4757-3699-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2002

  • Hardcover ISBN: 978-0-387-95405-9

  • Softcover ISBN: 978-1-4419-2987-7

  • eBook ISBN: 978-1-4757-3699-1

  • Series ISSN: 0172-4568

  • Series E-ISSN: 2197-439X

  • Edition Number: 1

  • Number of Pages: XIV, 178

  • Topics: Financial Economics, Probability Theory

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • ISBN: 978-1-4757-3699-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 109.00
Price excludes VAT (USA)
Hardcover Book USD 109.99
Price excludes VAT (USA)