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Arbitrage-Free Bond Pricing with Dynamic Macroeconomic Models

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  • Michael F. Gallmeyer
  • Burton Hollifield
  • Francisco Palomino
  • Stanley E. Zin

Abstract

We examine the relationship between monetary-policy-induced changes in short interest rates and yields on long-maturity default-free bonds. The volatility of the long end of the term structure and its relationship with monetary policy are puzzling from the perspective of simple structural macroeconomic models. We explore whether richer models of risk premiums, specifically stochastic volatility models combined with Epstein-Zin recursive utility, can account for such patterns. We study the properties of the yield curve when inflation is an exogenous process and compare this to the yield curve when inflation is endogenous and determined through an interest-rate/Taylor rule. When inflation is exogenous, it is difficult to match the shape of the historical average yield curve. Capturing its upward slope is especially difficult as the nominal pricing kernel with exogenous inflation does not exhibit any negative autocorrelation - a necessary condition for an upward sloping yield curve as shown in Backus and Zin (1994). Endogenizing inflation provides a substantially better fit of the historical yield curve as the Taylor rule provides additional flexibility in introducing negative autocorrelation into the nominal pricing kernel. Additionally, endogenous inflation provides for a flatter term structure of yield volatilities which better fits historical bond data.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 13245.

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Date of creation: Jul 2007
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Publication status: published as 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, issue Jul, pages 305-326.
Handle: RePEc:nbr:nberwo:13245

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  1. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," NBER Working Papers 4676, National Bureau of Economic Research, Inc.
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Cited by:
  1. David Backus & Mikhail Chernov & Stanley E. Zin, 2011. "Sources of Entropy in Representative Agent Models," NBER Working Papers 17219, National Bureau of Economic Research, Inc.
  2. John H. Cochrane, 2007. "Commentary on "Macroeconomic implications of changes in the term premium"," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 271-282.
  3. Andrew Atkeson & Patrick J. Kehoe, 2008. "On the need for a new approach to analyzing monetary policy," Working Papers 662, Federal Reserve Bank of Minneapolis.
  4. William T. Gavin & Benjamin D. Keen, 2012. "U.S. monetary policy: a view from macro theory," Working Papers 2012-019, Federal Reserve Bank of St. Louis.
  5. Chernov, Mikhail & Mueller, Philippe, 2012. "The term structure of inflation expectations," Journal of Financial Economics, Elsevier, vol. 106(2), pages 367-394.
  6. David K. Backus & Federico Gavazzoni & Christopher Telmer & Stanley E. Zin, 2010. "Monetary Policy and the Uncovered Interest Parity Puzzle," NBER Working Papers 16218, National Bureau of Economic Research, Inc.
  7. Tanaka Hiroatsu, 2012. "Monetary Policy Regimes and the Term Structure of Interests Rates with Recursive Utility," 2012 Meeting Papers 557, Society for Economic Dynamics.
  8. Gonzalez-Astudillo, Manuel, 2009. "An Equilibrium Model of the Term Structure of Interest Rates: Recursive Preferences at Play," MPRA Paper 19153, University Library of Munich, Germany.
  9. Bhamra, Harjoat S. & Fisher, Adlai J. & Kuehn, Lars-Alexander, 2011. "Monetary policy and corporate default," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 480-494.
  10. Gregory H. Bauer & Antonio Diez de los Rios, 2012. "An International Dynamic Term Structure Model with Economic Restrictions and Unspanned Risks," Working Papers 12-5, Bank of Canada.
  11. Smith, Josephine M. & Taylor, John B., 2009. "The term structure of policy rules," Journal of Monetary Economics, Elsevier, vol. 56(7), pages 907-917, October.
  12. Pamela Labadie, 2007. "Commentary on "Arbitrage-free bond pricing with dynamic macroeconomic models"," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 327-330.
  13. Oreste Tristani & Gianni Amisano, 2010. "A nonlinear DSGE model of the term structure with regime shifts," 2010 Meeting Papers 234, Society for Economic Dynamics.
  14. Hasseltoft, Henrik, 2007. "The Long-run Risk Model: Dynamics and Cyclicality of Interest Rates," SIFR Research Report Series 58, Institute for Financial Research.
  15. Josephine M. Smith & John B. Taylor, 2007. "The Long and the Short End of the Term Structure of Policy Rules," NBER Working Papers 13635, National Bureau of Economic Research, Inc.

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