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       Library of Congress Cataloging-in-Publication Data

      Names: Isichenko, Michael, author.

      Title: Quantitative portfolio management : the art and science of statistical arbitrage / Michael Isichenko.

      Description: Hoboken, New Jersey : John Wiley & Sons, Inc., [2021] | Includes bibliographical references and index.

      Identifiers: LCCN 2021013923 (print) | LCCN 2021013924 (ebook) | ISBN 9781119821328 (cloth) | ISBN 9781119821229 (adobe pdf) | ISBN 9781119821212 (epub)

      Subjects: LCSH: Portfolio management—Mathematical models. | Arbitrage.

      Classification: LCC HG4529.5 .I83 2021 (print) | LCC HG4529.5 (ebook) | DDC 332.6—dc23

      LC record available at https://lccn.loc.gov/2021013923

      LC ebook record available at https://lccn.loc.gov/2021013924

      Cover Design: Wiley

      Cover Image: © Michael Isichenko

      This book describes the process used by quantitative traders, or quants, a community the author has belonged to for a number of years. Quants are not usually trained as quants, but often come from one of the “hard sciences” such as mathematics, statistics, physics, electrical engineering, economics, or computer science. The author, a physicist by training, feels guilty for (ab)using the word describing a fundamental concept of quantum physics in the context of quantitative trading, but this slang is too rooted in the industry to be avoided. Having quantitative finance professionals in mind, the intended audience is presumed interdisciplinary, fluent in mathematical notation, not foreign to algorithmic thinking, familiar with basic financial concepts such as market-neutral strategies, and not needing a definition of pnl. This book could be also interesting to those readers who are thinking of joining the quant workforce and wondering if it is worth it.

      The choice of topics for this book is aligned with the author's personal interests in the field, although an honest attempt is made to cover, in depth or in passing, all relevant parts of statistical arbitrage, a quantitative approach to equity trading. Whether or not a particular formula or approach is expected to help make money (or avoid losses) is not disclosed or opined upon, in part because any application success is data- and implementation-dependent, and in part to keep the reader in suspense. The book is also an attempt to strike a balance between what the author could say and is comfortable saying. In the field of quantitative trading, the more interesting stuff doesn't usually get published. In this book, the reader will hopefully find a few things that might be interesting or at least entertaining.

      Any resemblance of described quantitative practices to past or existing firms is coincidental and may not be statistically significant. As Kurt Vonnegut admitted in Slaughterhouse-Five, All this happened, more or less. This book is for quants and, occasionally, about quants.

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      1 1 Accordingly, and for the reader's convenience, the electronic version of this book has multiple hyperlinks to Wikipedia and other URLs.

      This book is an unlikely result of some 20 years of trial-and-error discovery. It is also a work in progress. The author will appreciate indication of any omission or error, as well as any feedback from the reader, whose comments are most welcome at [email protected].

      M.I.

      New York-Montauk, June 2020–May 2021.

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      1 2 E. Wigner, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, Communications in Pure and Applied Mathematics, 13(I), February 1960.

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