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MCMC Based Estimation of Term Structure Models

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  • Mikkelsen, Peter

    (Department of Finance, Aarhus School of Business)

Abstract

We develop a state space framework for estimating term structure models, where latent Markovian state variables are mapped non-linearly into observable market data. The measurement equation of our framework is explicitly constructed such that it takes raw market prices and rates as direct inputs. We thus avoid entirely, the need for data preprocessing, such as the use of ad hoc interpolation and data smoothing techniques. As our general estimation approach, we demonstrate how Markov chain Monte Carlo techniques are well suited for handling complex functional relations between state vari-ables and data, parameter restrictions and other features of popular term structure mod-els, which have proved hard to handle for alternative econometric techniques. Our estimation framework therefore handles popular multi-factor model specifications such as exponential affine and quadratic models, but facilitates richer Markovian HJM model specifications as well. Efficient Markov chain Monte Carlo implementations are highly model dependent. Therefore, having developed the general estimation principles of our framework, we demonstrate how one could approach sampler specification for a particular model example which we fit to a panel data set of swap and money market rates.

Suggested Citation

  • Mikkelsen, Peter, 2001. "MCMC Based Estimation of Term Structure Models," Finance Working Papers 01-7, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  • Handle: RePEc:hhb:aarfin:2001_007
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    References listed on IDEAS

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    Cited by:

    1. Iryna Kaminska & Dimitri Vayanos & Gabriele Zinna, 2011. "Preferred-Habitat Investors and the US Term Structure of Real Rates," FMG Discussion Papers dp674, Financial Markets Group.
    2. Mirkov, Nikola & Sutter, Barbara, 2012. "Central Bank Reserves and the Yield Curve at the ZLB," Working Papers on Finance 1208, University of St. Gallen, School of Finance.
    3. Peter Feldhütter, 2016. "Can Affine Models Match the Moments in Bond Yields?," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 6(02), pages 1-56, June.

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