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Consistent Re-Calibration of the Discrete-Time Multifactor Vasi\v{c}ek Model

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  • Philipp Harms
  • David Stefanovits
  • Josef Teichmann
  • Mario V. Wuthrich

Abstract

The discrete-time multifactor Vasi\v{c}ek model is a tractable Gaussian spot rate model. Typically, two- or three-factor versions allow one to capture the dependence structure between yields with different times to maturity in an appropriate way. In practice, re-calibration of the model to the prevailing market conditions leads to model parameters that change over time. Therefore, the model parameters should be understood as being time-dependent or even stochastic. Following the consistent re-calibration (CRC) approach, we construct models as concatenations of yield curve increments of Hull-White extended multifactor Vasi\v{c}ek models with different parameters. The CRC approach provides attractive tractable models that preserve the no-arbitrage premise. As a numerical example, we fit Swiss interest rates using CRC multifactor Vasi\v{c}ek models.

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  • Philipp Harms & David Stefanovits & Josef Teichmann & Mario V. Wuthrich, 2015. "Consistent Re-Calibration of the Discrete-Time Multifactor Vasi\v{c}ek Model," Papers 1512.06454, arXiv.org, revised Sep 2016.
    • Handle: RePEc:arx:papers:1512.06454
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    2. Svensson, Lars E O, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992-4," CEPR Discussion Papers 1051, C.E.P.R. Discussion Papers.
    3. Philipp Harms & David Stefanovits & Josef Teichmann & Mario Wuthrich, 2015. "Consistent Recalibration of Yield Curve Models," Papers 1502.02926, arXiv.org, revised Sep 2016.
    4. Svensson, L.E.O., 1994. "Estimating and Interpreting Foreward Interest Rates: Sweden 1992-1994," Papers 579, Stockholm - International Economic Studies.
    5. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    6. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
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