UUnniivveerrssiittyy ooff TTeennnneesssseeee,, KKnnooxxvviillllee TTRRAACCEE:: TTeennnneesssseeee RReesseeaarrcchh aanndd CCrreeaattiivvee EExxcchhaannggee Doctoral Dissertations Graduate School 12-2010 TTwwoo EEssssaayyss oonn MMoommeennttuumm SSttrraatteeggyy aanndd IIttss SSoouurrcceess ooff AAbbnnoorrmmaall RReettuurrnnss Yu Zhang University of Tennessee - Knoxville, [email protected] Follow this and additional works at: https://trace.tennessee.edu/utk_graddiss Part of the Business Commons RReeccoommmmeennddeedd CCiittaattiioonn Zhang, Yu, "Two Essays on Momentum Strategy and Its Sources of Abnormal Returns. " PhD diss., University of Tennessee, 2010. https://trace.tennessee.edu/utk_graddiss/931 This Dissertation is brought to you for free and open access by the Graduate School at TRACE: Tennessee Research and Creative Exchange. It has been accepted for inclusion in Doctoral Dissertations by an authorized administrator of TRACE: Tennessee Research and Creative Exchange. For more information, please contact [email protected]. To the Graduate Council: I am submitting herewith a dissertation written by Yu Zhang entitled "Two Essays on Momentum Strategy and Its Sources of Abnormal Returns." I have examined the final electronic copy of this dissertation for form and content and recommend that it be accepted in partial fulfillment of the requirements for the degree of Doctor of Philosophy, with a major in Business Administration. George C. Philippatos, Major Professor We have read this dissertation and recommend its acceptance: Phillip Daves, Larry Fauver, Jan Rosinski Accepted for the Council: Carolyn R. Hodges Vice Provost and Dean of the Graduate School (Original signatures are on file with official student records.) To the Graduate Council: I am submitting herewith a dissertation written by Yu Zhang entitled “Two Essays on Momentum Strategy and Its Sources of Abnormal Returns.” I have examined the final electronic copy of this dissertation for form and content and recommend that it be accepted in partial fulfillment of the requirements for the degree of Doctor of Philosophy, with a major in Business Administration. George C. Philippatos, Major Professor We have read this dissertation and recommend its acceptance: Phillip Daves Larry Fauver Jan Rosinski Accepted for the Council: Carolyn R. Hodges Vice Provost and Dean of the Graduate School (Original signatures are on file with official student records.) Two Essays on Momentum Strategy and Its Sources of Abnormal Returns A Dissertation Presented for the Doctor of Philosophy Degree The University of Tennessee, Knoxville Yu Zhang December 2010 Copyright © 2010 by Yu Zhang. All rights reserved. ii ACKNOWLEDGEMENTS Thanks to Dr. George C. Philippatos. This thesis would not be possible without you. Special thanks to Dr. Phillip Daves and Dr. Larry Fauver for your great support not only in my writing of dissertation but also in my study in the finance department. Thanks to Dr. Jan Rosinski for willing to be a member in my committee. Great appreciation to the following professors who are not in my committee but have helped me tremendously in my completion of this dissertation: Dr. Christian Vossler and Dr. Mike Newman. Finally, thanks to Dr. Jim Wansley and the finance department for providing financial support and precious opportunities to me throughout these years at University of Tennessee. iii ABSTRACT This dissertation studies the sources of the momentum abnormal returns. The first essay attempts to find the relative role of cross-sectional and time-series variances in generating returns from the momentum strategy. By decomposing the returns from the momentum strategy both theoretically and empirically, the first essay finds that own- stock autocovariance is an important source in generating momentum returns. More interestingly, the own-stock autocovariance comes primarily from the loser portfolio. This finding provides another explanation to the recent finding that the loser portfolio is the driving force of the momentum abnormal returns. Based on the above discovery from the first essay, the second essay attempts to find out the underlying reason for the important asymmetric own-stock autocovaraince from the loser portfolio. We find that this return predictability comes from the short- selling constraints and risks. Stocks with more severe short-selling constraints prevent pessimistic information from being released into the stock prices more quickly; and thus causes those stocks to be overpriced and auto-correlated in their returns. iv TABLE OF CONTENTS Table Page CHAPTER I 1 INTRODUCTION 1 CHAPTER II 3 UNDERSTANDING THE SOURCES OF ABNORMAL RETURNS FROM THE MOMENTUM STRATEGY 3 Abstract 3 I. Introduction 4 1.1. Background 4 1.2. Motivation 6 II. Literature Review 9 2.1. Stock Trading Strategies 9 2.2. Literature Review 11 III. Decomposition of Momentum Returns 22 3.1. Theoretical Model 22 3.2. Circumstance in Generating Positive Momentum Returns 29 IV. Empirical Results 30 4.1. An Empirical Appraisal of Momentum Returns 30 V. Conclusions 37 LIST OF REFERENCES 39 APPENDIX 49 CHAPTER III 53 SHORT-SELLING CONSTRAINTS AND MOMENTUM ABNORMAL RETURNS 53 Abstract 53 I. Introduction 54 II. Short-Selling Risks 62 2.1. Short-Selling Mechanics 62 2.2. Short-Selling Risks 63 2.3. SEC Pilot Program 65 III. Literature Review 65 3.1. Market Frictions Explanation 66 3.2. Proxies for Short-selling Constraints 69 3.3. Other Factors Influencing Short-Selling Risk 73 IV. Theory and Hypotheses 77 V. Data and Methodology 80 5.1. Summary Statistics 83 5.2. Pooled Interval Regression and the True Demand for Shorting 85 VI. Estimated Realizable Shorting Demand and Short-selling Constraints 88 6.1. Short Interest Ratio and Institutional Ownership 88 6.2. Estimated Interval Regression Model 90 6.3. Short-selling Constraints 95 v VII. Short-selling Constraints and Momentum Abnormal Returns 96 7.1. Portfolio Sorts on Short-selling Constraints 96 7.2. Momentum Strategy and Short-selling Constraints 100 7.3. Risk Adjustments 101 7.4. NASDAQ Effect 106 7.5. Reg. SHO Pilot Program 108 VIII. Conclusions 112 LIST OF REFERENCES 114 CHAPTER IV 134 CONCLUSIONS 134 VITA 135 vi LIST OF TABLES Table Page Table 1. Return Decomposition with All Stocks in the U.S. Market ................................ 43 Table 2. Return Decomposition with NYSE & AMEX Stocks Only ............................... 46 Table 3. Return Decomposition with Change of Weights ................................................ 47 Table 4. Return Decomposition following Lo & MacKinlay (1990) ............................... 48 Table 5. Summary Statistics ........................................................................................... 121 Table 6. Summary Statistics of SIR and IOS .................................................................. 122 Table 7. Pooled Interval Regression ............................................................................... 123 Table 8. Double Sorting .................................................................................................. 124 Table 9. Double Sorting of SC and RET ........................................................................ 126 Table 10. Factor Models ................................................................................................. 127 Table 11. Short-squeeze Risk & Factor Models ............................................................. 129 Table 12. Momentum Returns with and without NASDAQ Stocks ............................... 131 Table 13. NASDAQ Effect ............................................................................................. 132 Table 14. Summary Statistics of Pilot and Control Sample before the Pilot Program ... 132 Table 15. Pilot Program Effect ....................................................................................... 133 vii
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