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Switching VARMA Term Structure Models - Extended Version

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  • Monfort, A.
  • Pegoraro, F.

Abstract

The purpose of the paper is to propose a global discrete-time modeling of the term structure of interest rates able to capture simultaneously the following important features : (i) an historical dynamics of the factor driving term structure shapes involving several lagged values, and switching regimes; (ii) a specification of the stochastic discount factor (SDF) with time-varying and regime dependent risk-premia; (iii) explicit or quasi explicit formulas for zero-coupon bond and interest rate derivative prices; (iv) the positivity of the yields at each maturity. The first family of models we develop is given by the Switching Autoregressive Normal (SARN) and the Switching Vector Autoregressive Normal (SVARN) Factor-Based Term Structure Models of order p. The second family of models we study is given by the Switching Autoregressive Gamma (SARG) and the Switching Vector Autoregressive Gamma (SVARG) Factor-Based Term Structure Models of order p. Regime shifts are described by a Markov chain with (historical) non-homogeneous transition probabilities.

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Bibliographic Info

Paper provided by Banque de France in its series Working papers with number 191.

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Length: 50 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:bfr:banfra:191

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Web page: http://www.banque-france.fr/
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Keywords: Affine Term Structure Models ; Stochastic Discount Factor ; Car processes ; Switching Regimes ; VARMA processes ; Lags ; Positivity ; Derivative Pricing.;

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References

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Citations

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Cited by:
  1. Alain Monfort & Jean-Paul Renne, 2011. "Credit and Liquidity Risks in Euro-area Sovereign Yield Curves," Working Papers 2011-26, Centre de Recherche en Economie et Statistique.
  2. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2007. "Econometric Asset Pricing Modelling," Working Papers 2007-18, Centre de Recherche en Economie et Statistique.
  3. Gourieroux, Christian & Sufana, Razvan, 2011. "Discrete time Wishart term structure models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 815-824, June.
  4. Alain MONFORT & Fulvio PEGORARO, 2010. "Asset Pricing with Second-Order Esscher Transforms," Working Papers 2010-54, Centre de Recherche en Economie et Statistique.
  5. Christian Gourieroux & Alain Monfort & Razvan Sufana, 2005. "International Money and Stock Market Contingent Claims," Working Papers 2005-41, Centre de Recherche en Economie et Statistique.
  6. Jardet, C. & Monfort, A. & Pegoraro, F., 2009. "No-arbitrage Near-Cointegrated VAR(p) Term Structure Models, Term Premia and GDP Growth," Working papers 234, Banque de France.
  7. Alain Monfort & Jean-Paul Renne, 2010. "Default, Liquidity and Crises : An Econometric Framework," Working Papers 2010-46, Centre de Recherche en Economie et Statistique.

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