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A Classification of Two Factor Affine Diffusion Term Structure Models

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  • Christian Gourieroux

    (Crest)

  • Razvan Sufana

    (Crest)

Abstract

Dai, Singleton (2000) introduced a typology of affine diffusion models when the domain ofadmissible values of the factors is an intersection of half planes and under some additional constraintson the parameters. This condition on the domain and the additional sufficient constraintsare restrictive and can considerably diminish the practical interest of affine models. In this paperwe successfully address the research agenda sketched by Duffie, Filipovic, Schachermayer (2003),Section 12.2, p. 50. A systematic investigation is performed and our paper provides a completetypology in the two factor case, without prior restrictions on the domain and on the parameters.

Suggested Citation

  • Christian Gourieroux & Razvan Sufana, 2005. "A Classification of Two Factor Affine Diffusion Term Structure Models," Working Papers 2005-42, Center for Research in Economics and Statistics.
    • Handle: RePEc:crs:wpaper:2005-42
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    References listed on IDEAS

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    1. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(2), pages 271-295, June.
    2. Sergei Levendorskii, 2004. "Consistency conditions for affine term structure models," Papers cond-mat/0404107, arXiv.org.
    3. Sergei Levendorskii, 2004. "Consistency conditions for affine term structure models," Econometric Society 2004 North American Winter Meetings 413, Econometric Society.
    4. Levendorskii, Sergei, 2004. "Consistency conditions for affine term structure models," Stochastic Processes and their Applications, Elsevier, vol. 109(2), pages 225-261, February.
    5. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
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    2. Eduardo Abi Jaber & Bruno Bouchard & Camille Illand & Eduardo Jaber, 2018. "Stochastic invariance of closed sets with non-Lipschitz coefficients," Working Papers hal-01349639, HAL.
    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. Chiarella, Carl & Hsiao, Chih-Ying & Tô, Thuy-Duong, 2016. "Stochastic correlation and risk premia in term structure models," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 59-78.
    5. Gourieroux, C. & Monfort, A., 2008. "Quadratic stochastic intensity and prospective mortality tables," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 174-184, August.
    6. Eduardo Abi Jaber & Bruno Bouchard & Camille Illand & Eduardo Abi Jaber, 2018. "Stochastic invariance of closed sets with non-Lipschitz coefficients," Post-Print hal-01349639, HAL.
    7. Cheridito, Patrick & Filipovic, Damir & Kimmel, Robert L., 2006. "Affine Term Structure Models," Working Paper Series 2007-2, Ohio State University, Charles A. Dice Center for Research in Financial Economics.
    8. Alain Monfort & Fulvio Pegoraro, 2007. "Switching VARMA Term Structure Models - Extended Version," Working Papers 2007-19, Center for Research in Economics and Statistics.
    9. Abi Jaber, Eduardo & Bouchard, Bruno & Illand, Camille, 2019. "Stochastic invariance of closed sets with non-Lipschitz coefficients," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1726-1748.

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