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An efficient method of computing higher-order bond price perturbation approximations

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  • Andreasen , Martin

    ()
    (Bank of England)

  • Zabczyk, Pawel

    ()
    (Bank of England)

Abstract

This paper develops a fast method of computing arbitrary order perturbation approximations to bond prices in DSGE models. The procedure is implemented to third order where it can shorten the approximation process by more than 100 times. In a consumption-based endowment model with habits, it is further shown that a third-order perturbation solution is more accurate than the log-normal method and a procedure using consol bonds.

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File URL: http://www.bankofengland.co.uk/research/Documents/workingpapers/2011/wp416.pdf
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Bibliographic Info

Paper provided by Bank of England in its series Bank of England working papers with number 416.

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Length: 38 pages
Date of creation: 15 Mar 2011
Date of revision:
Handle: RePEc:boe:boeewp:0416

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Keywords: Perturbation method; DSGE models; habit model; higher-order approximation.;

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References

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  1. Antonio Moreno & Geert Bekaert & Seonghoon Cho, 2004. "New-Keynesian Macroeconomics and the Term Structure," 2004 Meeting Papers 388, Society for Economic Dynamics.
  2. De Paoli, Bianca & Scott, Alasdair & Weeken, Olaf, 2010. "Asset pricing implications of a New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2056-2073, October.
  3. Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Solving DSGE models with perturbation methods and a change of variables," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2509-2531, December.
  4. Michele Boldrin & Lawrence J. Christiano & Jonas D. M. Fisher, 2000. "Habit persistence, asset returns and the business cycle," Staff Report 280, Federal Reserve Bank of Minneapolis.
  5. Eric Swanson & Gary Anderson & Andrew Levin, 2006. "Higher-order perturbation solutions to dynamic, discrete-time rational expectations models," Working Paper Series 2006-01, Federal Reserve Bank of San Francisco.
  6. Hördahl, Peter & Tristani, Oreste & Vestin, David, 2007. "The yield curve and macroeconomic dynamics," Working Paper Series 0832, European Central Bank.
  7. Caldara, Dario & Fernández-Villaverde, Jesús & Rubio-Ramirez, Juan Francisco & Yao, Wen, 2009. "Computing DSGE Models with Recursive Preferences," CEPR Discussion Papers 7312, C.E.P.R. Discussion Papers.
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Cited by:
  1. Andreasen, Martin, 2011. "An estimated DSGE model: explaining variation in term premia," Bank of England working papers 441, Bank of England.
  2. Jules van Binsbergen & Jesús Fernández-Villaverde & Ralph S.J. Koijen & Juan F. Rubio-Ramírez, 2010. "The Term Structure of Interest Rates in a DSGE Model with Recursive Preferences," NBER Working Papers 15890, National Bureau of Economic Research, Inc.

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