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POSTMODERN PORTFOLIO THEORY Navigating Abnormal Markets and Investor Behavior JAMES MING CHEN Quantitative Perspectives on Behavioral Economics and Finance Series Editor James  Ming Chen College of Law Michigan State University East Lansing ,  Michigan , USA The economic enterprise has fi rmly established itself as one of evaluating human responses to scarcity not as a rigidly rational game of optimiza- tion, but as a holistic behavioral phenomenon. The full spectrum of social sciences that inform economics, ranging from game theory to evolution- ary psychology, has revealed the extent to which economic decisions and their consequences hinge on psychological, social, cognitive, and emo- tional factors beyond the reach of classical and neoclassical approaches to economics. Bounded rational decisions generate prices, returns, and resource allocation decisions that no purely rational approach to optimiza- tion would predict, let alone prescribe. Behavioral considerations hold the key to longstanding problems in economics and fi nance. Market imperfections such as bubbles and crashes, herd behavior, and the equity premium puzzle represent merely a few of the phenomena whose principal causes arise from the comprehensi- ble mysteries of human perception and behavior. Within the heterodox, broad-ranging fi elds of behavioral economics, a distinct branch of behav- ioral fi nance has arisen. Finance has established itself as a distinct branch of economics by apply- ing the full arsenal of mathematical learning on questions of risk manage- ment. Mathematical fi nance has become so specialized that its practitioners often divide themselves into distinct subfi elds. Whereas the P branch of mathematical fi nance seeks to model the future by managing portfolios through multivariate statistics, the Q world attempts to extrapolate the present and guide risk-neutral management through the use of partial dif- ferential equations to compute the proper price of derivatives. The emerging fi eld of behavioral fi nance, worthy of designation by the Greek letter psi (ψ), has identifi ed deep psychological limitations on the claims of the more traditional P and Q branches of mathematical fi nance. From Markowitz’s original exercises in mean-variance optimization to the Black-Scholes pricing model, the foundations of mathematical fi nance rest on a seductively beautiful Gaussian edifi ce of symmetrical models and crisp quantitative modeling. When these models fail, the results are often catastrophic. The ψ branch of behavioral fi nance, along with other “postmodern” critiques of traditional fi nancial wisdom, can guide theorists and practi- tioners alike toward a more complete understanding of the behavior of capital markets. It will no longer suffi ce to extrapolate prices and forecast market trends without validating these techniques according to the full range of economic theories and empirical data. Superior modeling and data-gathering have made it not only possible, but also imperative to har- monize mathematical fi nance with other branches of economics. Likewise, if behavioral fi nance wishes to fulfi ll its promise of transcending mere cri- tique and providing a more comprehensive account of fi nancial markets, behavioralists must engage the full mathematical apparatus known in all other branches of fi nance. In a world that simultaneously lauds Eugene Fama’s effi ciency hypotheses and heeds Robert Shiller’s warnings against irrational exuberance, progress lies in Lars Peter Hansen’s commitment to quantitative rigor. Theory and empiricism, one and indivisible, now and forever. More information about this series at http://www.springer.com/series/14524 James  Ming C hen Postmodern Portfolio Theory Navigating Abnormal Markets and Investor Behavior James  Ming Chen College of Law Michigan State University East Lansing, Michigan, USA Quantitative Perspectives on Behavioral Economics and Finance ISBN 978-1-137-54463-6 ISBN 978-1-137-54464-3 (eBook) DOI 10.1057/978-1-137-54464-3 Library of Congress Control Number: 2016942679 © The Editor(s) (if applicable) and The Author(s) 2 016 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifi cally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfi lms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specifi c statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the pub- lisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Cover illustration: © ZUMA Press, Inc. / Alamy Stock Photo Cover design by Oscar Spigolon Printed on acid-free paper This Palgrave Macmillan imprint is published by Springer Nature The registered company is Nature America Inc. New York To Heather Elaine Worland Chen, with all my love A CKNOWLEDGMENTS This book incorporates ideas from papers I have presented at the University of Cincinnati, Florida State University, Georgetown University, Michigan State University, the University of Pennsylvania, the University of Virginia, and the Faculty of Economics of the University of Zagreb (Ekonomski Fakultet Sveučilišta u Zagrebu). The International Atlantic Economic Society and the ACRN Oxford Academic Research Network have pro- vided multiple platforms for the work underlying this book. Along the way, I have benefi ted from scholarly and professional interactions with Anna Agrapetidou, Abdel Razzaq Al Rababa’a, Moisa Altar, Christopher J. Brummer, Irene Maria Buso, Adam Candeub, Seth J. Chandler, Felix B. Chang, Tendai Charasika, César Crousillat, David Dixon, Robert Dubois, John F.  Duffy, Daniel A.  Farber, Christopher C.  French, Santanu K.  Ganguli, Tomislav Gelo, Periklis Gogas, Gil Grantmore, Andy Greenberg, Losbichler Heimo, Hemantha Herath, Jesper Lyng Jensen, Jagoda Kaszowska, Daniel Martin Katz, Yuri Katz, Imre Kondor, Carolina Laureti, Cordell Lawrence Jr., Cordell Lawrence Sr., Matthew Lee, Othmar Lehner, Heimo Losbichler, Gerry Mahar, Milivoj Marković, L. Thorne McCarty, Steven C. Michael, Ludmila Mitkova, José María Montero Lorenzo, Kevin Lynch, Laura Muro, Vivian Okere, Merav Ozair, Elizabeth Porter, Mobeen Ur Rehman, Carol Royal, Bob Schmidt, Jeffrey A. Sexton, Galen Sher, Ted Sichelman, Jurica Šimurina, Nika Sokol Šimurina, Robert Sonora, Lisa Grow Sun, Elvira Takli, Peter Urbani, Robert R. M. Verchick, Benjamin Walther, Karen Wendt, Gal Zahavi, and Johanna F. Ziegel. Christian Diego Alcocer Argüello, of Michigan State University’s Department of Economics, provided very capable research ix

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This survey of portfolio theory, from its modern origins through more sophisticated, “postmodern” incarnations, evaluates portfolio risk according to the first four moments of any statistical distribution: mean, variance, skewness, and excess kurtosis. In pursuit of financial models that more ac
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