ESSAYS ON REPURCHASE AGREEMENTS, BAILOUTS, AND THE MACROECONOMIC EFFECTS OF BANK FAILURES by DANIEL LEE OTTO ROBERT R. REED, COMMITTEE CHAIR WALTER ENDERS HARRIS SCHLESINGER GREGORY GIVENS WILLIAM JACKSON III ROBERT BROOKS A DISSERTATION Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Economics, Finance, and Legal Studies in the Graduate School of The University of Alabama TUSCALOOSA, ALABAMA 2015 Copyright Daniel Lee Otto 2015 ALL RIGHTS RESERVED ABSTRACT In this dissertation, I study different aspects of the financial system within times of crisis with special attention paid to money market mutual funds (MMMF) and their use of repurchase their agreements ("repos"). Repos play a significant role in global credit market activity. Yet, research regarding the underlying components of repos remains nascent. In the first chapter, I examine the role of risk tolerance on lending and collateral within these agreements. In the second chapter, I study a model in which a risk-pooling intermediary engaging in the repo market, such as a MMMF, is exposed to runs. Inspired by events during the financial crisis, I show that bailouts are part of an efficient social insurance scheme in the event that a run emerges. However, this result does not imply that optimal intervention completely isolates shadow-banking intermediaries from a crisis. In fact, optimal public sector intervention imposes costs on money market funds by requiring them to liquidate some collateral. On the other hand, a commitment to no bailouts contributes to financial instability as the repo market collapses in the wake of a run without a public safety net. Chapter three expands my analysis of financial stress into the realm of traditional depository institutions. This chapter examines the effects of exogenous bank failures in the United States from 1973 - 2006. My results support the previous literature which suggests that real economic activity is lower following a shock. However, in addition to a linear model, I consider the possibility of a threshold value within banking shocks. Upon examination, I find that the effects of exogenous ii failures become asymmetric around $3 billion. Larger shocks are shown to impact the economy significantly. By comparison, smaller shocks have a completely ambiguous effect. iii DEDICATION This dissertation is dedicated to my friends and family. To my friends, Nicholas John Pihakis and John Bernard Halbert III, I want to say thanks for always challenging me intellectually. You both continue to set the bar high and I do my best to keep up and challenge you back. To my parents, Larry Lee Otto and Dawn Charlotte Otto, thank you for your constant love and support. You are always there to lend me your ear and a helping hand – both of which I take for granted far too often. It is truly a privilege to be a part of your lives. iv ACKNOWLEDGMENTS I wish to thanks all of my committee members for offering their time and talents. A very special thanks needs to go out to my committee chair, Dr. Robert Reed. Your guidance over the past 4 years has been invaluable. I owe much of my academic success to you and I look forward to a many future collaborative works. In addition, thank you to Dr. Walter Enders, Dr. Gregory Givens, Dr. Williams Jackson III, and Dr. Robert Brooks for agreeing to serve on my committee. In conclusion, I also want to note the help of Dr. Harris Schlesinger. Thank you for pushing me to my intellectual limits. v CONTENTS ABSTRACT .................................................................................................................. ii DEDICATION .............................................................................................................. iv ACKNOWLEDGMENTS ............................................................................................. v LIST OF TABLES ....................................................................................................... ix LIST OF FIGURES ...................................................................................................... x CHAPTER 1: Repos, Risk Aversion, and Haircuts ..................................................... 1 1 Introduction ................................................................................................................ 1 2 The Model ................................................................................................................... 5 2.1 Endowments, Preferences, and Technologies .................................................... 5 2.2 Timing of Actions ............................................................................................... 6 3 Optimal Choices .......................................................................................................... 8 3.1 Repo Solutions .................................................................................................. 12 4 Numerical Analysis ................................................................................................... 14 4.1 Leverage Elasticity ........................................................................................... 19 5 Conclusion ................................................................................................................. 20 References ..................................................................................................................... 21 CHAPTER II: Repos, Bailouts, and Instability in the Shadow Banking System .... 23 1 Introduction .............................................................................................................. 23 2 The Model ................................................................................................................. 27 2.1 Preferences and Technologies ........................................................................... 28 2.2 Unexpected Shocks and Financial Instability ................................................. 30 vi 3 The Planner’s Allocation .......................................................................................... 31 3.1 Period 2: Settlement (Repurchase of Collateral) ............................................ 34 3.2 Period 1: Collateral Liquidation and Bailout Funding ................................... 36 3.2.1 Optimizing Consumption in the Good Aggregate State ........................ 37 3.2.2 Optimizing Consumption in the Bad Aggregate State........................... 39 3.3 Period 0: The Planner’s Investment in the Repo Market, Short-Term Returns, and Taxes ................................................................................................ 42 3.4 Fragility ............................................................................................................. 43 4 Bailouts and Collateral Liquidation ......................................................................... 45 5 Equilibrium under Discretion ................................................................................... 46 5.1 Intermediaries’ Decisions .................................................................................. 48 5.2 Fiscal Authority’s Tax Decision ....................................................................... 48 5.3 Bailouts vs. No Bailouts ................................................................................... 49 6 Comparing Bailout Cases ......................................................................................... 51 7 Conclusion ................................................................................................................. 52 References ..................................................................................................................... 54 Appendix ...................................................................................................................... 56 CHAPTER III: The Macroeconomic Effects of Bank Failures ................................. 75 1 Introduction .............................................................................................................. 75 2 The Basic Model ....................................................................................................... 78 2.1 The Data ........................................................................................................... 78 2.2 The Methodology .............................................................................................. 79 3 Aggregate Effects of Bank Failure Shocks ............................................................... 81 A. Building the Framework ................................................................................... 81 vii B. Durable and Non-Durable Goods Markets ...................................................... 83 C. Interest Rates and Credit Extension ................................................................ 84 D. Private Saving ................................................................................................... 85 4 Asymmetric Shocks ................................................................................................... 86 4.1 Threshold Testing ............................................................................................. 86 4.2 Small vs. Large Shocks: The Macroeconomic Effects ..................................... 88 5 Conclusion ................................................................................................................. 89 References ..................................................................................................................... 91 Appendix ...................................................................................................................... 93 viii LIST OF TABLES 1.1 Benchmark Repo Market ...................................................................................... 14 1.2 Benchmark Repo Market as 𝛾 Changes ............................................................... 15 0 1.3 Benchmark Repo Market as 𝜋 Changes ............................................................... 16 0 1.4 Repo Market under 𝛾 as 𝜋 Changes .................................................................... 17 1 0 1.5 Benchmark Repo Market as 𝑝 Changes................................................................ 18 1.6 Leverage Elasticity, Case 1 .................................................................................... 19 1.7 Leverage Elasticity, Case 2 .................................................................................... 19 3.1 Bank Failure Statistics (Normalized Failures in Levels) ...................................... 78 3.2 F-Test on 𝜙 ........................................................................................................... 88 1 ix
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