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A Consistent Approach to Modelling the Interest Rate Market Anomalies Post the Global Financial Crisis

Listed author(s):
  • Yang Chang
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    The thesis is focused on the phenomenon of the cross–currency swap and tenor swap basis spread in foreign exchange (FX) and interest rate markets, which contradicts textbook no arbitrage conditions and has become an important feature of these markets since the beginning of the Global Financial Crisis (GFC) in 2007. The results demonstrate empirically that the basis spread can not be explained by transaction costs alone and is therefore due to a new perception by the market of risks involved in the execution of textbook “arbitrage” strategies. We show that using the basis spread as a proxy for the market valuation of these risks, a better empirical explanation than hitherto found in the literature can be obtained for the “uncovered interest rate parity (UIP) puzzle,” i.e. the phenomenon that carry trades taking advantage of interest rate differentials between different currencies have positive excess returns on average. Furthermore, considering the single–currency basis spread (the “tenor basis”), the empirical analysis of market data since the GFC has led us to a model which reduces the dimensionality of the tenor basis from observed term structures for every tenor pair down to term structures of two factors characterising the driving liquidity risk, and demonstrates that the tenor basis swap market is in the process of maturing since the turmoil of the GFC. There are three main contributions in this thesis. In Chapter 3 we examine the role of transaction costs in explaining the basis spread in cross–currency basis swaps. Based upon transaction costs, we derive bounds which should eliminate arbitrage in practice. The empirical results are consistent with the conventional market wisdom that to a large extent, transaction costs alone precluded arbitrage opportunities before the GFC. However, the no–arbitrage bounds have been persistently violated since the GFC. We propose that the market is prevented from exploiting such violations and making arbitrage profit by increased market imperfections, in particular the currency liquidity risk. These imperfections have resulted in forward and currency swap prices being determined by supply and demand pressures, rather than by arbitrage considerations. In Chapter 4 we aim to explain the UIP puzzle by a model with liquidity risk. We empirically examine the effect of FX market liquidity risk on the excess returns of currency carry trades. Based upon Chapter 3 results, we use the violations of no–arbitrage bounds as the proxy for the market expectation of liquidity risk. The liquidity proxy, along with FX market volatility factors, is significant in explaining the abnormal returns of carry trades, particularly after the GFC. Our liquidity proxy is also statistically more significant than alternative proxies for liquidity risk in related studies. Our findings provide evidence that the UIP puzzle can potentially be resolved after controlling for liquidity risk. In Chapter 5 and 6, we focus on the high–dimensional modelling problem existing in the single–currency tenor swap market. Based on empirical results of recent studies, we propose an intensity–based model to describe the arrival time of liquidity shocks in the interbank market. With the no–arbitrage argument and non–linear constrained optimisations, we calibrate the model parameters to quoted basis spreads in tenor swaps. Our model reduces the dimensionality of the problem down to two factors: the intensity and the loss rate characterising the driving liquidity risk. In contrast to the credit risk literature, the intensities and loss rates are calibrated simultaneously and results show that loss rates display more variations than intensities. Another advantage of our modelling approach, compared to the ad–hoc modelling approach adopted by practitioners, is that our model is motivated by the driving risk of market anomalies. It is hence more explanatory and consistent with market fundamentals. In order to account for potential randomness, we also set up stochastic models for the intensity and the loss rate. We show that under certain conditions closed form solutions exist, which can be used to tractably calibrate or estimate the model parameters.

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    This book is provided by Finance Discipline Group, UTS Business School, University of Technology, Sydney in its series PhD Thesis with number 18 and published in 2014.
    Handle: RePEc:uts:finphd:18
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    1. Michael Johannes & Suresh Sundaresan, 2007. "The Impact of Collateralization on Swap Rates," Journal of Finance, American Finance Association, vol. 62(1), pages 383-410, 02.
    2. Melvin, Michael & Taylor, Mark P., 2009. "The crisis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 28(8), pages 1317-1330, December.
    3. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    4. Markus K. Brunnermeier & Lasse Heje Pedersen, 2009. "Market Liquidity and Funding Liquidity," Review of Financial Studies, Society for Financial Studies, vol. 22(6), pages 2201-2238, June.
    5. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-853, October.
    6. John C. Williams & John B. Taylor, 2009. "A Black Swan in the Money Market," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(1), pages 58-83, January.
    7. Baba, Naohiko & Packer, Frank, 2009. "From turmoil to crisis: Dislocations in the FX swap market before and after the failure of Lehman Brothers," Journal of International Money and Finance, Elsevier, vol. 28(8), pages 1350-1374, December.
    8. Zhiguo He & Wei Xiong, 2012. "Rollover Risk and Credit Risk," Journal of Finance, American Finance Association, vol. 67(2), pages 391-430, 04.
    9. Naohiko Baba & Frank Packer & Teppei Nagano, 2008. "The spillover of money market turbulence to FX swap and cross-currency swap markets," BIS Quarterly Review, Bank for International Settlements, March.
    10. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
    11. Craig Burnside & Martin Eichenbaum & Isaac Kleshchelski & Sergio Rebelo, 2011. "Do Peso Problems Explain the Returns to the Carry Trade?," Review of Financial Studies, Society for Financial Studies, vol. 24(3), pages 853-891.
    12. Hanno Lustig & Adrien Verdelhan, 2007. "The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk," American Economic Review, American Economic Association, vol. 97(1), pages 89-117, March.
    13. Patrick McGuire & Goetz von Peter, 2009. "The US dollar shortage in global banking and the international policy response," BIS Working Papers 291, Bank for International Settlements.
    14. Uri Ron, 2000. "A Practical Guide to Swap Curve Construction," Staff Working Papers 00-17, Bank of Canada.
    15. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters,in: Theory Of Valuation, chapter 5, pages 129-164 World Scientific Publishing Co. Pte. Ltd..
    16. Harrison, J. Michael & Pliska, Stanley R., 1983. "A stochastic calculus model of continuous trading: Complete markets," Stochastic Processes and their Applications, Elsevier, vol. 15(3), pages 313-316, August.
    17. Henrard, Marc, 2007. "The irony in the derivatives discounting," MPRA Paper 3115, University Library of Munich, Germany.
    18. Erik Schlögl, 2001. "Arbitrage-Free Interpolation in Models of Market Observable Interest Rates," Research Paper Series 71, Quantitative Finance Research Centre, University of Technology, Sydney.
    19. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305 World Scientific Publishing Co. Pte. Ltd..
    20. Masaaki Kijima & Keiichi Tanaka & Tony Wong, 2009. "A multi-quality model of interest rates," Quantitative Finance, Taylor & Francis Journals, vol. 9(2), pages 133-145.
    21. Cairns, A.J.G. & Pritchard, D.J., 2001. "Stability of Models for the Term Structure of Interest Rates with Application to German Market Data," British Actuarial Journal, Cambridge University Press, vol. 7(03), pages 467-507, August.
    22. Markus K. Brunnermeier, 2009. "Deciphering the Liquidity and Credit Crunch 2007-2008," Journal of Economic Perspectives, American Economic Association, vol. 23(1), pages 77-100, Winter.
    23. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
    24. Lasse Heje Pedersen & Mark Mitchell & Todd Pulvino, 2007. "Slow Moving Capital," American Economic Review, American Economic Association, vol. 97(2), pages 215-220, May.
    25. Andersen, Torben G & Bollerslev, Tim, 1998. "Answering the Skeptics: Yes, Standard Volatility Models Do Provide Accurate Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 885-905, November.
    26. Patrick McGuire & Goetz von Peter, 2009. "The US dollar shortage in global banking," BIS Quarterly Review, Bank for International Settlements, March.
    27. Erik Schlogl & Lutz Schlogl, 2000. "A square root interest rate model fitting discrete initial term structure data," Applied Mathematical Finance, Taylor & Francis Journals, vol. 7(3), pages 183-209.
    28. Patrick Hagan & Graeme West, 2006. "Interpolation Methods for Curve Construction," Applied Mathematical Finance, Taylor & Francis Journals, vol. 13(2), pages 89-129.
    29. David Woo & Akihiro Kanaya, 2000. "The Japanese Banking Crisis of the 1990's; Sources and Lessons," IMF Working Papers 00/7, International Monetary Fund.
    30. Angelo Ranaldo & Paul Söderlind, 2010. "Safe Haven Currencies," Review of Finance, European Finance Association, vol. 14(3), pages 385-407.
    31. Christiansen, Charlotte & Ranaldo, Angelo & Söderlind, Paul, 2011. "The Time-Varying Systematic Risk of Carry Trade Strategies," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 46(04), pages 1107-1125, September.
    32. François-Louis Michaud & Christian Upper, 2008. "What drives interbank rates? Evidence from the Libor panel," BIS Quarterly Review, Bank for International Settlements, March.
    33. Shleifer, Andrei & Vishny, Robert W, 1997. " The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    34. Alan Brace & Dariusz G¸atarek & Marek Musiela, 1997. "The Market Model of Interest Rate Dynamics," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 127-155.
    35. Menzie D. Chinn & Guy Meredith, 2004. "Monetary Policy and Long-Horizon Uncovered Interest Parity," IMF Staff Papers, Palgrave Macmillan, vol. 51(3), pages 409-430, November.
    36. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    37. Ingo Fender & Patrick McGuire, 2010. "European banks' US dollar funding pressures," BIS Quarterly Review, Bank for International Settlements, June.
    38. Covrig, Vicentiu & Low, Buen Sin & Melvin, Michael, 2004. "A Yen is Not a Yen: TIBOR/LIBOR and the Determinants of the Japan Premium," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(01), pages 193-208, March.
    39. Viral V. Acharya & Ouarda Merrouche, 2013. "Precautionary Hoarding of Liquidity and Interbank Markets: Evidence from the Subprime Crisis," Review of Finance, European Finance Association, vol. 17(1), pages 107-160.
    40. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    41. Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December.
    42. Cornett, Marcia Millon & McNutt, Jamie John & Strahan, Philip E. & Tehranian, Hassan, 2011. "Liquidity risk management and credit supply in the financial crisis," Journal of Financial Economics, Elsevier, vol. 101(2), pages 297-312, August.
    43. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
    44. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    45. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    46. Markus K. Brunnermeier & Stefan Nagel & Lasse H. Pedersen, 2009. "Carry Trades and Currency Crashes," NBER Chapters,in: NBER Macroeconomics Annual 2008, Volume 23, pages 313-347 National Bureau of Economic Research, Inc.
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