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An International Dynamic Term Structure Model with Economic Restrictions and Unspanned Risks

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  • Gregory Bauer
  • Antonio Diez de los Rios

Abstract

We construct a multi-country affine term structure model that contains unspanned macroeconomic and foreign exchange risks. The canonical version of the model is derived and is shown to be easy to estimate. We show that it is important to impose restrictions (including global asset pricing, carry trade fundamentals and maximal Sharpe ratios) on the prices of risk to obtain plausible decompositions of forward curves. The forecasts of interest rates and exchange rates from the restricted model match those from international survey data. Unspanned macroeconomic variables are important drivers of international term and foreign exchange risk premia as well as expected exchange rate changes.

Suggested Citation

  • Gregory Bauer & Antonio Diez de los Rios, 2012. "An International Dynamic Term Structure Model with Economic Restrictions and Unspanned Risks," Staff Working Papers 12-5, Bank of Canada.
    • Handle: RePEc:bca:bocawp:12-5
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    1. Rebecca Hellerstein, 2011. "Global bond risk premiums," Staff Reports 499, Federal Reserve Bank of New York.
    2. Bekaert, Geert & Hodrick, Robert J. & Marshall, David A., 1997. "On biases in tests of the expectations hypothesis of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 44(3), pages 309-348, June.
    3. Geert Bekaert & Seonghoon Cho & Antonio Moreno, 2010. "New Keynesian Macroeconomics and the Term Structure," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(1), pages 33-62, February.
    4. Bacchetta, Philippe & Mertens, Elmar & van Wincoop, Eric, 2009. "Predictability in financial markets: What do survey expectations tell us?," Journal of International Money and Finance, Elsevier, vol. 28(3), pages 406-426, April.
    5. Michael D. Bauer, 2018. "Restrictions on Risk Prices in Dynamic Term Structure Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(2), pages 196-211, April.
    6. Diebold, Francis X. & Li, Canlin & Yue, Vivian Z., 2008. "Global yield curve dynamics and interactions: A dynamic Nelson-Siegel approach," Journal of Econometrics, Elsevier, vol. 146(2), pages 351-363, October.
    7. John Y. Campbell & Karine Serfaty‐De Medeiros & Luis M. Viceira, 2010. "Global Currency Hedging," Journal of Finance, American Finance Association, vol. 65(1), pages 87-121, February.
    8. Charles Engel & Kenneth D. West, 2005. "Exchange Rates and Fundamentals," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 485-517, June.
    9. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    10. Charles Engel & Nelson C. Mark & Kenneth D. West, 2008. "Exchange Rate Models Are Not as Bad as You Think," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 381-441, National Bureau of Economic Research, Inc.
    11. Collin-Dufresne, Pierre & Goldstein, Robert S. & Jones, Christopher S., 2009. "Can interest rate volatility be extracted from the cross section of bond yields?," Journal of Financial Economics, Elsevier, vol. 94(1), pages 47-66, October.
    12. Ilmanen, Antti, 1995. "Time-Varying Expected Returns in International Bond Markets," Journal of Finance, American Finance Association, vol. 50(2), pages 481-506, June.
    13. Brandt, Michael W. & Santa-Clara, Pedro, 2002. "Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets," Journal of Financial Economics, Elsevier, vol. 63(2), pages 161-210, February.
    14. Andrew Ang & Geert Bekaert & Min Wei, 2008. "The Term Structure of Real Rates and Expected Inflation," Journal of Finance, American Finance Association, vol. 63(2), pages 797-849, April.
    15. Michael F. Gallmeyer & Burton Hollifield & Francisco J. Palomino & Stanley E. Zin, 2007. "Arbitrage-free bond pricing with dynamic macroeconomic models," Review, Federal Reserve Bank of St. Louis, vol. 89(Jul), pages 305-326.
    16. Driessen, J.J.A.G. & Melenberg, B. & Nijman, T.E., 2003. "Common factors in international bond returns," Other publications TiSEM 06a83942-b625-4d3c-808c-a, Tilburg University, School of Economics and Management.
    17. Bikbov, Ruslan & Chernov, Mikhail, 2010. "No-arbitrage macroeconomic determinants of the yield curve," Journal of Econometrics, Elsevier, vol. 159(1), pages 166-182, November.
    18. Karen K. Lewis, 2011. "Global Asset Pricing," Annual Review of Financial Economics, Annual Reviews, vol. 3(1), pages 435-466, December.
    19. Campbell R. Harvey & Bruno Solnik & Guofu Zhou, 2002. "What Determines Expected International Asset Returns?," Annals of Economics and Finance, Society for AEF, vol. 3(2), pages 249-298, November.
    20. Emmanuel Farhi & Xavier Gabaix, "undated". "Rare Disasters and Exchange Rates," Working Paper 71001, Harvard University OpenScholar.
    21. David K. Backus & Jonathan H. Wright, 2007. "Cracking the Conundrum," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 38(1), pages 293-329.
    22. Refet S. Gürkaynak & Jonathan H. Wright, 2012. "Macroeconomics and the Term Structure," Journal of Economic Literature, American Economic Association, vol. 50(2), pages 331-367, June.
    23. Andrew Ang & Jean Boivin & Sen Dong & Rudy Loo-Kung, 2011. "Monetary Policy Shifts and the Term Structure," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 429-457.
    24. John H. Cochrane & Monika Piazzesi, 2005. "Bond Risk Premia," American Economic Review, American Economic Association, vol. 95(1), pages 138-160, March.
    25. Francis X. Diebold & Monika Piazzesi & Glenn D. Rudebusch, 2005. "Modeling Bond Yields in Finance and Macroeconomics," American Economic Review, American Economic Association, vol. 95(2), pages 415-420, May.
    26. Hanno Lustig & Nikolai Roussanov & Adrien Verdelhan, 2011. "Common Risk Factors in Currency Markets," Review of Financial Studies, Society for Financial Studies, vol. 24(11), pages 3731-3777.
    27. Campbell, John Y & Hamao, Yasushi, 1992. "Predictable Stock Returns in the United States and Japan: A Study of Long-Term Capital Market Integration," Journal of Finance, American Finance Association, vol. 47(1), pages 43-69, March.
    28. Adrien Verdelhan, 2010. "A Habit‐Based Explanation of the Exchange Rate Risk Premium," Journal of Finance, American Finance Association, vol. 65(1), pages 123-146, February.
    29. Glenn D. Rudebusch, 2010. "Macro‐Finance Models Of Interest Rates And The Economy," Manchester School, University of Manchester, vol. 78(s1), pages 25-52, September.
    30. Andrew Ang & Sen Dong & Monika Piazzesi, 2005. "No-arbitrage Taylor rules," Proceedings, Federal Reserve Bank of San Francisco.
    31. Perignon, Christophe & Smith, Daniel R. & Villa, Christophe, 2007. "Why common factors in international bond returns are not so common," Journal of International Money and Finance, Elsevier, vol. 26(2), pages 284-304, March.
    32. Albert Lee Chun, 2011. "Expectations, Bond Yields, and Monetary Policy," Review of Financial Studies, Society for Financial Studies, vol. 24(1), pages 208-247.
    33. Hans Dewachter & Konstantijn Maes, 2001. "An Admissible Affine Model for Joint Term Structure Dynamics of Interest Rates," International Economics Working Papers Series wpie001, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, International Economics.
    34. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 2011. "Carry Trade and Momentum in Currency Markets," Annual Review of Financial Economics, Annual Reviews, vol. 3(1), pages 511-535, December.
    35. Ang, Andrew & Bekaert, Geert & Wei, Min, 2007. "Do macro variables, asset markets, or surveys forecast inflation better?," Journal of Monetary Economics, Elsevier, vol. 54(4), pages 1163-1212, May.
    36. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    37. René Garcia & Richard Luger, 2012. "Risk aversion, intertemporal substitution, and the term structure of interest rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(6), pages 1013-1036, September.
    38. Cheung, Yin-Wong & Chinn, Menzie D. & Pascual, Antonio Garcia, 2005. "Empirical exchange rate models of the nineties: Are any fit to survive?," Journal of International Money and Finance, Elsevier, vol. 24(7), pages 1150-1175, November.
    39. Groen, Jan J. J., 2000. "The monetary exchange rate model as a long-run phenomenon," Journal of International Economics, Elsevier, vol. 52(2), pages 299-319, December.
    40. Driessen, Joost & Melenberg, Bertrand & Nijman, Theo, 2003. "Common factors in international bond returns," Journal of International Money and Finance, Elsevier, vol. 22(5), pages 629-656, October.
    41. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    42. Sydney C. Ludvigson & Serena Ng, 2009. "Macro Factors in Bond Risk Premia," Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5027-5067, December.
    43. Devereux, Michael B. & Smith, Gregor W. & Yetman, James, 2012. "Consumption and real exchange rates in professional forecasts," Journal of International Economics, Elsevier, vol. 86(1), pages 33-42.
    44. Michael D. Bauer & Glenn D. Rudebusch & Jing Cynthia Wu, 2011. "Unbiased estimate of dynamic term structure models," Working Paper Series 2011-12, Federal Reserve Bank of San Francisco.
    45. 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.
    46. Antonio Diez De Los Rios, 2009. "Can Affine Term Structure Models Help Us Predict Exchange Rates?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(4), pages 755-766, June.
    47. Lucio Sarno, 2005. "Viewpoint: Towards a solution to the puzzles in exchange rate economics: where do we stand?," Canadian Journal of Economics, Canadian Economics Association, vol. 38(3), pages 673-708, August.
    48. Anderson, Bing & Hammond, Peter J. & Ramezani, Cyrus A., 2010. "Affine Models of the Joint Dynamics of Exchange Rates and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(5), pages 1341-1365, October.
    49. Jens H. E. Christensen & Jose A. Lopez & Glenn D. Rudebusch, 2010. "Inflation Expectations and Risk Premiums in an Arbitrage-Free Model of Nominal and Real Bond Yields," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 42(s1), pages 143-178, September.
    50. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
    51. Francis A. Longstaff & Jun Pan & Lasse H. Pedersen & Kenneth J. Singleton, 2011. "How Sovereign Is Sovereign Credit Risk?," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 75-103, April.
    52. Craig Burnside, 2011. "The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk: Comment," American Economic Review, American Economic Association, vol. 101(7), pages 3456-3476, December.
    53. Richard Dennis & Glenn D. Rudebusch, 2003. "Finance and macroeconomics," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue may2.
    54. Torben G. Andersen & Luca Benzoni, 2010. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification Test for Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 65(2), pages 603-653, April.
    55. Molodtsova, Tanya & Papell, David H., 2009. "Out-of-sample exchange rate predictability with Taylor rule fundamentals," Journal of International Economics, Elsevier, vol. 77(2), pages 167-180, April.
    56. Lustig, Hanno & Roussanov, Nikolai & Verdelhan, Adrien, 2014. "Countercyclical currency risk premia," Journal of Financial Economics, Elsevier, vol. 111(3), pages 527-553.
    57. Kim, Don H. & Orphanides, Athanasios, 2012. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(1), pages 241-272, February.
    58. Inci, Ahmet Can & Lu, Biao, 2004. "Exchange rates and interest rates: can term structure models explain currency movements?," Journal of Economic Dynamics and Control, Elsevier, vol. 28(8), pages 1595-1624, June.
    59. Menzie D. Chinn & Guy Meredith, 2005. "Testing Uncovered Interest Parity at Short and Long Horizons during the Post-Bretton Woods Era," NBER Working Papers 11077, National Bureau of Economic Research, Inc.
    60. Mark, Nelson C, 1995. "Exchange Rates and Fundamentals: Evidence on Long-Horizon Predictability," American Economic Review, American Economic Association, vol. 85(1), pages 201-218, March.
    61. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
    62. Pericoli, Marcello & Taboga, Marco, 2012. "Bond risk premia, macroeconomic fundamentals and the exchange rate," International Review of Economics & Finance, Elsevier, vol. 22(1), pages 42-65.
    63. De Santis, Giorgio & Gerard, Bruno, 1997. "International Asset Pricing and Portfolio Diversification with Time-Varying Risk," Journal of Finance, American Finance Association, vol. 52(5), pages 1881-1912, December.
    64. Glenn D. Rudebusch & Eric T. Swanson & Tao Wu, 2006. "The Bond Yield "Conundrum" from a Macro-Finance Perspective," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 83-109, December.
    65. Ilan Cooper, 2009. "Time-Varying Risk Premiums and the Output Gap," Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2601-2633, July.
    66. Michael J. Brennan & Yihong Xia, 2006. "International Capital Markets and Foreign Exchange Risk," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 753-795.
    67. Antonio Diez de los Rios, 2008. "McCallum Rules, Exchange Rates, and the Term Structure of Interest Rates," Staff Working Papers 08-43, Bank of Canada.
    68. Jonathan H. Wright, 2011. "Term Premia and Inflation Uncertainty: Empirical Evidence from an International Panel Dataset," American Economic Review, American Economic Association, vol. 101(4), pages 1514-1534, June.
    69. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
    70. Don H Kim, 2007. "Challenges in macro-finance modeling," BIS Working Papers 240, Bank for International Settlements.
    71. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    72. repec:adr:anecst:y:2000:i:58:p:01 is not listed on IDEAS
    73. Bekaert, Geert & Wei, Min & Xing, Yuhang, 2007. "Uncovered interest rate parity and the term structure," Journal of International Money and Finance, Elsevier, vol. 26(6), pages 1038-1069, October.
    74. repec:hal:journl:peer-00732517 is not listed on IDEAS
    75. Egorov, Alexei V. & Li, Haitao & Ng, David, 2011. "A tale of two yield curves: Modeling the joint term structure of dollar and euro interest rates," Journal of Econometrics, Elsevier, vol. 162(1), pages 55-70, May.
    76. 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.
    77. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    78. Fousseni Chabi-Yo & Jun Yang, 2007. "A No-Arbitrage Analysis of Macroeconomic Determinants of Term Structures and the Exchange Rate," Staff Working Papers 07-21, Bank of Canada.
    79. Ahn, Dong-Hyun, 2004. "Common Factors and Local Factors: Implications for Term Structures and Exchange Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(1), pages 69-102, March.
    80. Enrique Sentana, 2000. "The Likelihood Function of Conditionally Heteroskedastic Factor Models," Annals of Economics and Statistics, GENES, issue 58, pages 1-19.
    81. Adler, Michael & Dumas, Bernard, 1983. "International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-984, June.
    82. Hodrick, R. & Vassalou, M., 2000. "Do We Need Multi-Country Models to Explain Exchange Rate and Interest Rate Dynamics?," Papers 00-01, Columbia - Graduate School of Business.
    83. Lucio Sarno & Elvira Sojli, 2009. "The Feeble Link between Exchange Rates and Fundamentals: Can We Blame the Discount Factor?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2‐3), pages 437-442, March.
    84. Frachot, Antoine, 1996. "A reexamination of the uncovered interest rate parity hypothesis," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 419-437, June.
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    Keywords

    Asset Pricing; Exchange rates; Interest rates;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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