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Modelling International Bond Markets with Affine Term Structure Models

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Author Info

  • Georg Mosburger

    (University of Vienna)

  • Paul Schneider

    (Vienna University of Economics & Business Administration)

Abstract

This paper investigates the performance of international affine term structure models (ATSMs) that are driven by a mutual set of global state variables. We discuss which mixture of Gaussian and square root processes is best suited for modelling international bond markets. We derive necessary conditions for the correlation and volatility structure of mixture models to accommodate various empirical stylized facts such as the forward premium puzzle and differently shaped yield curves. Using UK-US data we estimate international ATSMs taking into account the joint transition density of yields and exchange rates without assuming normality. We find strong empirical evidence for negatively correlated global factors in international bond markets. Further, the empirical results do not support the existence of local factors in the UK-US setting, suggesting that diversification benefits from holding currency- hedged bond portfolios in these markets are likely to be small. Altogether, we find that mixture models greatly enhance the performance of ATSMs.

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File URL: http://128.118.178.162/eps/fin/papers/0509/0509003.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Finance with number 0509003.

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Length: 51 pages
Date of creation: 04 Sep 2005
Date of revision:
Handle: RePEc:wpa:wuwpfi:0509003

Note: Type of Document - pdf; pages: 51
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Web page: http://128.118.178.162

Related research

Keywords: International affine term structure models; Estimation; Exchange rate; Model Selection;

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References

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  1. Yacine Ait-Sahalia, 2002. "Maximum Likelihood Estimation of Discretely Sampled Diffusions: A Closed-form Approximation Approach," Econometrica, Econometric Society, vol. 70(1), pages 223-262, January.
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  3. Brennan, Michael J. & Xia, Yihong, 2004. "International Capital Markets and Foreign Exchange Risk," University of California at Los Angeles, Anderson Graduate School of Management qt53z0s29k, Anderson Graduate School of Management, UCLA.
  4. Pierre Collin-Dufresne & Robert S. Goldstein, 2002. "Do Bonds Span the Fixed Income Markets? Theory and Evidence for Unspanned Stochastic Volatility," Journal of Finance, American Finance Association, vol. 57(4), pages 1685-1730, 08.
  5. Jefferson Duarte, 2004. "Evaluating an Alternative Risk Preference in Affine Term Structure Models," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 379-404.
  6. Pierre Collin-Dufresne, 2001. "On the Term Structure of Default Premia in the Swap and LIBOR Markets," Journal of Finance, American Finance Association, vol. 56(3), pages 1095-1115, 06.
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  8. 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.
  9. Yacine Aït-Sahalia & Robert Kimmel, 2002. "Estimating Affine Multifactor Term Structure Models Using Closed-Form Likelihood Expansions," NBER Technical Working Papers 0286, National Bureau of Economic Research, Inc.
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  11. Hodrick, Robert & Vassalou, Maria, 2002. "Do we need multi-country models to explain exchange rate and interest rate and bond return dynamics?," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1275-1299, July.
  12. 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(05), pages 1341-1365, October.
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  14. 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.
  15. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, 02.
  16. 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(01), pages 69-102, March.
  17. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
  18. 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.
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Citations

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Cited by:
  1. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
  2. Ait-Sahalia, Yacine & Kimmel, Robert L., 2008. "Estimating Affine Multifactor Term Structure Models Using Closed-Form Likelihood Expansions," Working Paper Series 2008-19, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
  3. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2010. "Properties of Foreign Exchange Risk Premia," MPRA Paper 21302, University Library of Munich, Germany.
  4. 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.
  5. Kimmel, Robert L., 2007. "Complex Times: Asset Pricing and Conditional Moments under Non-affine Diffusions," Working Paper Series 2007-6, Ohio State University, Charles A. Dice Center for Research in Financial Economics.

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