IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpfi/0509003.html
   My bibliography  Save this paper

Modelling International Bond Markets with Affine Term Structure Models

Author

Listed:
  • 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.

Suggested Citation

  • Georg Mosburger & Paul Schneider, 2005. "Modelling International Bond Markets with Affine Term Structure Models," Finance 0509003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpfi:0509003
    Note: Type of Document - pdf; pages: 51
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/fin/papers/0509/0509003.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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. Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
    5. Duffie, Darrell & Singleton, Kenneth J, 1997. "An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September.
    6. 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, August.
    7. Bekaert, Geert, 1996. "The Time Variation of Risk and Return in Foreign Exchange Markets: A General Equilibrium Perspective," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 427-470.
    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 Ait-Sahalia, 2002. "Closed-Form Likelihood Expansions for Multivariate Diffusions," NBER Working Papers 8956, National Bureau of Economic Research, Inc.
    10. Constantinides, George M, 1992. "A Theory of the Nominal Term Structure of Interest Rates," Review of Financial Studies, Society for Financial Studies, vol. 5(4), pages 531-552.
    11. 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.
    12. David K. Backus & Silverio Foresi & Chris I. Telmer, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, February.
    13. Aït-Sahalia, Yacine & Kimmel, Robert L., 2010. "Estimating affine multifactor term structure models using closed-form likelihood expansions," Journal of Financial Economics, Elsevier, vol. 98(1), pages 113-144, October.
    14. 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.
    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, February.
    16. Pierre Collin‐Dufresne & Bruno Solnik, 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, June.
    17. 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.
    18. 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.
    19. Ola Elerian, 1998. "A note on the existence of a closed form conditional transition density for the Milstein scheme," Economics Series Working Papers 1998-W18, University of Oxford, Department of Economics.
    20. 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.
    21. 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.
    22. Bansal, Ravi, 1997. "An Exploration of the Forward Premium Puzzle in Currency Markets," Review of Financial Studies, Society for Financial Studies, vol. 10(2), pages 369-403.
    23. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pegoraro, F. & Siegel, A. F. & Tiozzo Pezzoli, L., 2014. "Specification Analysis of International Treasury Yield Curve Factors," Working papers 490, Banque de France.
    2. 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.
    3. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2010. "Properties of Foreign Exchange Risk Premia," MPRA Paper 21302, University Library of Munich, Germany.
    4. Aït-Sahalia, Yacine & Kimmel, Robert L., 2010. "Estimating affine multifactor term structure models using closed-form likelihood expansions," Journal of Financial Economics, Elsevier, vol. 98(1), pages 113-144, October.
    5. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
    6. Cho, Sungjun & Hyde, Stuart & Liu, Liu, 2022. "The yen–dollar risk premium: A story of regime shifts in bond markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 78(C).
    7. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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.
    3. Yung, Julieta, 2021. "Can interest rate factors explain exchange rate fluctuations?," Journal of Empirical Finance, Elsevier, vol. 61(C), pages 34-56.
    4. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2010. "Properties of Foreign Exchange Risk Premia," MPRA Paper 21302, University Library of Munich, Germany.
    5. Shu Wu, 2007. "Interest Rate Risk and the Forward Premium Anomaly in Foreign Exchange Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 423-442, March.
    6. 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.
    7. Sen Dong, 2006. "Monetary Policy Rules and Exchange Rates:A Structural VAR Identified by No Arbitrage," 2006 Meeting Papers 875, Society for Economic Dynamics.
    8. S. Mouabbi, 2014. "An arbitrage-free Nelson-Siegel term structure model with stochastic volatility for the determination of currency risk premia," Working papers 527, Banque de France.
    9. repec:wyi:journl:002109 is not listed on IDEAS
    10. Qiang Dai & Kenneth Singleton, 2003. "Term Structure Dynamics in Theory and Reality," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 631-678, July.
    11. A. Craig Burnside & Jeremy J. Graveline, 2012. "On the Asset Market View of Exchange Rates," NBER Working Papers 18646, National Bureau of Economic Research, Inc.
    12. 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.
    13. 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.
    14. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Management Science, INFORMS, vol. 60(9), pages 2248-2268, September.
    15. Bauer, Gregory H., 2017. "International house price cycles, monetary policy and credit," Journal of International Money and Finance, Elsevier, vol. 74(C), pages 88-114.
    16. Pegoraro, F. & Siegel, A. F. & Tiozzo Pezzoli, L., 2014. "Specification Analysis of International Treasury Yield Curve Factors," Working papers 490, Banque de France.
    17. 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.
    18. Bakshi, Gurdip & Carr, Peter & Wu, Liuren, 2008. "Stochastic risk premiums, stochastic skewness in currency options, and stochastic discount factors in international economies," Journal of Financial Economics, Elsevier, vol. 87(1), pages 132-156, January.
    19. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    20. 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.
    21. 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.

    More about this item

    Keywords

    International affine term structure models; Estimation; Exchange rate; Model Selection;
    All these keywords.

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpfi:0509003. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.