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Markov switching quadratic term structure models

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  • Stéphane Goutte

    (LPMA - Laboratoire de Probabilités et Modèles Aléatoires - UPMC - Université Pierre et Marie Curie - Paris 6 - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we consider a discrete time economy where we assume that the short term interest rate follows a quadratic term structure of a regime switching asset process. The possible non-linear structure and the fact that the interest rate can have different economic or financial trends justify the interest of Regime Switching Quadratic Term Structure Model (RS-QTSM). Indeed, this regime switching process depends on the values of a Markov chain with a time dependent transition probability matrix which can well captures the different states (regimes) of the economy. We prove that under this modelling that the conditional zero coupon bond price admits also a quadratic term structure. Moreover, the stochastic coefficients which appear in this decomposition satisfy an explicit system of coupled stochastic backward recursions.

Suggested Citation

  • Stéphane Goutte, 2013. "Markov switching quadratic term structure models," Working Papers hal-00821745, HAL.
    • Handle: RePEc:hal:wpaper:hal-00821745
    Note: View the original document on HAL open archive server: https://hal.science/hal-00821745
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    References listed on IDEAS

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