Essays on International Portfolio Allocation and Risk Sharing Hande Ku¨¸cu¨k Tug˘er A Thesis Submitted for the degree of Doctor of Philosophy Ph.D., Economics Department of Economics London School of Economics and Political Science Under the supervision of Dr. Gianluca Benigno July 2011 Declaration I certify that the thesis I have presented for examination for the PhD degree of the London School of Economics and Political Science is solely my own work other than where I have clearly indicated that it is the work of others (in which case the extent of any work carried out jointly by me and any other person is clearly identified in it). The copyright of this thesis rests with the author. Quotation from it is permitted, provided that full acknowledgement is made. This thesis may not be reproduced without the prior written consent of the author. I warrant that this authorization does not, to the best of my belief, infringe the rights of any third party. 2 Abstract This thesis contributes to the theoretical literature that analyses the link between international asset trade and international risk sharing. Despite the massive increase in cross-border asset trade since the 1990’s, consumption risk sharing across countries remainslimited. Instandardinternationalbusinesscyclemodels, efficientrisksharing requires that consumption should be higher in the country where it is cheaper to consume, implying a high positive correlation between relative consumption and real exchange rate, which is strongly rejected in the data. Recent contributions show that it is possible to account for this so-called ‘consumption-real exchange rate anomaly’ in models with goods and financial market frictions where international asset trade is restricted to a single non-contingent bond. Chapter 1 analyses whether this class of models can account for the anomaly under a richer asset market structure where agents can trade in domestic and foreign currency bonds. Even such a small departure from the single bond economy implies toomuchrisksharingcomparedtothedataalthoughthenumberofassetsthatcanbe traded is less than the number of shocks affecting each economy. Introducing demand shocks alongside sector-specific productivity shocks can improve the performance of the model only under specific parameter and monetary policy settings. Chapter 2 extends this analysis to study the implications of international trade in equities, portfolio transaction costs and recursive utility. Chapter 3 studies the interaction between monetary policy and foreign currency positions in more detail. Different monetary policy regimes can lead to different foreign currency positions by changing the cyclical properties of the nominal ex- change rate. These external positions, in turn, affect the cross-border transmission of monetary policy shocks via a valuation channel. The way export prices are set has important implications for optimal foreign currency positions and the valuation channel when prices are sticky and financial markets are incomplete. Chapter 4 compares the international transmission of uncertainty shocks under alternative asset markets with an emphasis on the behaviour of net foreign assets, exchangerateandcurrencyriskpremiumandshowsthatamodelwithrestrictedasset trade performs better than a model with complete financial integration in matching certain aspects of the data regarding the dynamics of these variables in response to increased macroeconomic uncertainty. 3 Acknowledgements I owe a large debt of gratitude to my supervisor Gianluca Benigno for his constant supportandencouragementthroughoutmystudiesattheLSE.Ihavebeenverylucky to have the opportunity to work closely with him both as a research assistant and as a co-author, whichprovedtobe aninvaluable learningexperience. Heintroducedmeto many interesting topics in international macro-finance and provided many comments and suggestions on all chapters of this thesis. I am also indebted to Bianca De Paoli and Jens Søndergaard, with whom I worked on the third chapter of this thesis. I benefited a lot from our discussions which providedmewithvaluableinsightandintuition. Iamalsothankfulfortheirfriendship and support. The first two chapters of this thesis benefited from helpful comments by Paul Beaudry, Nicolas Coeurdacier, Pietro Cova, Bianca De Paoli, Michael Devereux, Charles Engel, Marcelo Ferman, Nathan Foley-Fisher, Viktoria Hnatkovska, Keyu Jin,RobertKollmann,GiovanniLombardo,AkitoMatsumoto,In´esMorenodeBarreda, Paolo Pesenti, Alan Sutherland and Burc Tug˘er as well as the participants at the IMF Macro-Finance Conference, Washington 24-25 April 2008; the 13th LACEA Annual Meeting Rio de Janeiro 2008; CEPR Conference on International Macroeconomics and Finance, Brussels 13-14 February 2009; CEPR Conference on International Risk Sharing, Brussels 22-23 October 2010 and the LSE money-macro work in progress seminars. The third chapter of this thesis benefited from helpful comments by Gu¨nter Beck, Andy Blake, Giovanni Lombardo, Anna Lipinska and an anonymous referee for the BankofEnglandworkingpaperseriesaswellastheparticipantsattheCEPRAnnual Workshop on Global Interdependence and the seminars at the LSE and the Bank of England. For the fourth chapter, I am grateful for helpful comments by Dario Caldara, Bianca De Paoli, Keyu Jin and Anna Lipinska. I also want to thank my colleagues at the PhD programme, with whom we shared the ups and downs of PhD life since day one, and exchanged many ideas related to 4 both course-work and research, especially Gu¨ne¸s A¸sık-Altınta¸s, Zs´ofi B´ar´any, Tim- oth´ee Carayol, Mariano Cena, Tom Cunningham, Ziad Daoud, Marcelo Ferman, Nathan Foley-Fisher, In´es Moreno de Barreda, Beyza Polat, Ebrahim Rahbari, San- chari Roy, Burc Tug˘er and Jin Wang. I would like to give special thanks to Beyza, In´es, Nathan and Ziad for their invaluable friendship and support at a time when it was most needed. I am indebted to In´es, Nathan and Zso´fi for their help in putting my chapters in a thesis format. I am grateful to my undergraduate and masters professors at the Middle East Technical University, Halis Akder, Haluk Erlat, Erdal O¨zmen and O¨zge S¸enay for steering me towards doing a PhD in economics. I am also indebted to Hakan Kara, my boss at the Central Bank of Turkey, for inspiring me to do a PhD and also for making it possible. I gratefully acknowledge financial support from the Central Bank of Turkey. I thank the Centre for Economic Performance for granting me a desk and offering a great research environment. I am indebted to the members of my extended family, my grandparents Su¨reyya and Babu¨r U¨nsal; my aunts and uncles, Nu¨ket and Emrullah Gu¨rbag˘; Deniz and Baykan Eser; as well as my cousins, Can, Cem and Bora, for their love, support and belief in me. I also want to thank my very good friend Bilge Baytekin for finding ever more creative ways of motivating me and for being there for me despite being in a different continent and a different time zone. Lastly, I dedicate this work to my parents, Betu¨l and Vehbi Ku¨¸cu¨k, and my sister, Gamze, in thanks for their love, support and patience through all these years we spent apart. 5 To my parents and my sister 6 Contents Acknowledgements 4 List of Tables 9 List of Figures 10 Introduction 12 1 Portfolio Allocation and International Risk Sharing 17 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 1.2 A two-country two-sector endowment economy . . . . . . . . . . . . . 22 1.3 Relative consumption and real exchange rate under alternative asset markets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 1.4 Numerical analysis in a calibrated two-country, two-sector RBC model 47 1.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 2 Portfolio Allocation and International Risk Sharing with Trade in Equities, Transaction Costs and Recursive Preferences 79 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 2.2 International trade in equities and bonds . . . . . . . . . . . . . . . . 81 2.3 Portfolio transaction costs . . . . . . . . . . . . . . . . . . . . . . . . 93 2.4 Recursive utility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 2.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 3 Monetary Policy Rules and Foreign Currency Positions 107 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 3.2 The model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 3.3 Optimal foreign currency position and valuation effects . . . . . . . . 116 3.4 Numerical results and robustness checks . . . . . . . . . . . . . . . . 124 3.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 7 4 International Transmission of Uncertainty Shocks: The Role of Fi- nancial Market Integration 148 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 4.2 A two-country two-sector endowment model . . . . . . . . . . . . . . 151 4.3 International transmission of volatility shocks . . . . . . . . . . . . . 159 4.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 Bibliography 180 8 List of Tables 1.1 International portfolios and relative consumption-real exchange rate correlations for selected industrial countries . . . . . . . . . . . . . . 18 1.2 Some parameter definitions. . . . . . . . . . . . . . . . . . . . . . . . 30 1.3 Impact responses of relative consumption and real exchange rate to relative supply and demand (news) shocks with trade in two bonds . 46 1.4 Baseline calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 1.5 Business cycle statistics with unanticipated shocks to sectoral TFP for different values of trade elasticity. . . . . . . . . . . . . . . . . . . . . 55 1.6 Business cycle statistics with anticipated and unanticipated shocks to sectoral TFP for different values of trade elasticity. . . . . . . . . . . 69 2.1 Optimal portfolios and international risk sharing with shocks to the endowment of tradables and non-tradables . . . . . . . . . . . . . . . 90 2.2 Optimal portfolios and international risk sharing with endowment and redistributive shocks . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 3.1 Baseline calibration and steady-state foreign bond position . . . . . . 125 3.2 Steady-state foreign bond position and domestic equity shares when there is trade in bonds and equities . . . . . . . . . . . . . . . . . . . 132 3.3 Steady-state foreign bond position and implied valuation effects under the baseline calibration . . . . . . . . . . . . . . . . . . . . . . . . . . 136 3.4 Conditional covariance of real exchange rate adjusted relative con- sumption and excess returns under zero-portfolio solution . . . . . . . 137 9 List of Figures 1.1 Impact responses to a positive tradable endowment shock with respect to trade elasticity, θ, for ν > 1. . . . . . . . . . . . . . . . . . . . . . 32 2 1.2 Impact responses of relative consumption and relative prices to a 1% increase in tradable sector productivity for different values of trade elasticity, θ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 1.3 Impulse responses to sector-specific productivity shocks with θ = 2.5. 59 1.4 Impulse responses to sector-specific productivity shocks with θ = 0.25. 62 1.5 Sensitivity with respect to the elasticity of substitution between trad- ables and non-tradables, κ, in the baseline model with unanticipated productivity shocks in each sector. . . . . . . . . . . . . . . . . . . . 65 1.6 Sensitivity with respect to the the share of non-tradables in final con- sumption, γ, in the baseline model with unanticipated productivity shocks in each sector. . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 1.7 Sensitivity with respect to the degree of home bias in consumption, ν, in the baseline model with unanticipated productivity shocks in each sector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 1.8 Sensitivity with respect to the relative variance of non-tradable shocks, σ2 /σ2, in the baseline model with unanticipated productivity shocks NT T in each sector. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 2.1 Risksharingpropertiesofbondsversusequitiesconditionalontradable and non-tradable endowment shocks . . . . . . . . . . . . . . . . . . 91 2.2 Optimal portfolios and relative consumption-real exchange rate corre- lations for different values of portfolio transaction costs in the model with endowment shocks and trade in bonds or equities. . . . . . . . . 95 2.3 Optimal portfolios and relative consumption-real exchange rate corre- lations for different values of portfolio transaction costs in the model with endowment and redistributive shocks and trade in two bonds and two equities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 10
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