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A regime switching model to evaluate bonds in a quadratic term structure of interest rates

Stéphane Goutte (), Raphaël Homayoun and Thomas Porcher ()
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Raphaël Homayoun: City University London, ESG Research Lab - ESG Management School

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Abstract: In this article, we consider a discrete time economy in which we assume that the short term interest rate follows a quadratic term structure in 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 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 capture the different states (regimes) of the economy. We prove that under this model, the conditional zero coupon bond price admits a quadratic term structure. Moreover, the stochastic coefficients which appear in this decomposition satisfy an explicit system of coupled stochastic backward recursions.

Keywords: Regime switching; Quadratic term structure model; Zero coupon bond; Markov chain (search for similar items in EconPapers)
Date: 2014-02-17
New Economics Papers: this item is included in nep-ore
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