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An affine macro-factor model of the UK yield curve

Author

Listed:
  • Peter Lildholdt
  • Nikolaos Panigirtzoglou
  • Chris Peacock

Abstract

This paper estimates yield curve models for the United Kingdom, where the underlying determinants have a macroeconomic interpretation. The first factor is an unobserved inflation target, the second factor is annual inflation, and the third factor is a ‘Taylor rule residual’, which, among other things, captures the effects of the output gap and monetary policy surprises in the Taylor rule. We find that the long end of the yield curve is primarily driven by changes in the unobserved inflation target. At shorter maturities, yield curve movements reflect short-run inflation and the Taylor rule residual. For holding periods of one month, our preferred model implies that agents require compensation for risks associated with cyclical and inflation shocks but do not require compensation for shocks to the inflation target. For holding periods beyond one month, agents require compensation for all three sources of risks. Time series of risk premia on long forward rates from the preferred yield curve model have declined since the 1970s, which is consistent with perceptions of declining macroeconomic uncertainty or perhaps more efficient macroeconomic stabilisation policies. Model-implied risk premia at short maturities match up reasonably well with survey-based risk premia, which indicates that the model could be useful for the purpose of extracting market-based interest rate expectations.

Suggested Citation

  • Peter Lildholdt & Nikolaos Panigirtzoglou & Chris Peacock, 2007. "An affine macro-factor model of the UK yield curve," Bank of England working papers 322, Bank of England.
  • Handle: RePEc:boe:boeewp:322
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    File URL: http://www.bankofengland.co.uk/research/Documents/workingpapers/2007/WP322.pdf
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    References listed on IDEAS

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    Cited by:

    1. Malik, Sheheryar & Meldrum, Andrew, 2016. "Evaluating the robustness of UK term structure decompositions using linear regression methods," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 85-102.
    2. Joyce, Michael A.S. & Lildholdt, Peter & Sorensen, Steffen, 2010. "Extracting inflation expectations and inflation risk premia from the term structure: A joint model of the UK nominal and real yield curves," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 281-294, February.
    3. Paul Söderlind, 2010. "Reaction of Swiss Term Premia to Monetary Policy Surprises," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 146(I), pages 385-404, March.
    4. Joyce, Michael A. S. & Relleen, Jonathan & Sorensen, Steffen, 2008. "Measuring monetary policy expectations from financial market instruments," Working Paper Series 978, European Central Bank.
    5. Andreasen, Martin M., 2012. "An estimated DSGE model: Explaining variation in nominal term premia, real term premia, and inflation risk premia," European Economic Review, Elsevier, vol. 56(8), pages 1656-1674.

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