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Quadratic Term Structure Models For Risk-Free And Defaultable Rates


  • Li Chen
  • Damir Filipović
  • H. Vincent Poor


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  • Li Chen & Damir Filipović & H. Vincent Poor, 2004. "Quadratic Term Structure Models For Risk-Free And Defaultable Rates," Mathematical Finance, Wiley Blackwell, vol. 14(4), pages 515-536.
  • Handle: RePEc:bla:mathfi:v:14:y:2004:i:4:p:515-536

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    References listed on IDEAS

    1. A. Chateauneuf & R. Kast & A. Lapied, 1996. "Choquet Pricing For Financial Markets With Frictions," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 323-330.
    2. Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
    3. Wang, Shaun, 1996. "Premium Calculation by Transforming the Layer Premium Density," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 26(01), pages 71-92, May.
    4. Massimo Marinacci, 2000. "A uniqueness theorem for convex-ranged probabilities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(2), pages 121-132.
    5. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
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    Cited by:

    1. Jirô Akahori & Takahiro Tsuchiya, 2006. "What is the Natural Scale for a Lévy Process in Modelling Term Structure of Interest Rates?," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 13(4), pages 299-313, December.
    2. 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.
    3. Jirô Akahori & Keisuke Hara, 2006. "Lifting Quadratic Term Structure Models To Infinite Dimension," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 635-645.
    4. Raphaël Homayoun Boroumand & Stéphane Goutte & Thomas Porcher, 2014. "A regime-switching model to evaluate bonds in a quadratic term structure of interest rates," Applied Financial Economics, Taylor & Francis Journals, vol. 24(21), pages 1361-1366, November.
    5. Samson Assefa, 2007. "Pricing Swaptions and Credit Default Swaptions in the Quadratic Gaussian Factor Model," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 31.
    6. Jirô Akahori & Hiroki Aoki & Yoshihiko Nagata, 2006. "Generalizations of Ho–Lee’s binomial interest rate model I: from one- to multi-factor," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 13(2), pages 151-179, June.
    7. Marco Realdon, 2007. "A Two Factor Black-Karasinski Credit Default Swap Pricing Model (forthcoming in the Icfai Journal of Derivatives Markets, Vol IV, No 4, October 2007; all copyrights rest with the Icfai University Pres," Discussion Papers 07/25, Department of Economics, University of York.
    8. Stéphane Goutte, 2013. "Markov switching quadratic term structure models," Working Papers hal-00821745, HAL.
    9. Realdon, Marco, 2006. "Quadratic term structure models in discrete time," Finance Research Letters, Elsevier, vol. 3(4), pages 277-289, December.
    10. Likuan Qin & Vadim Linetsky, 2014. "Positive Eigenfunctions of Markovian Pricing Operators: Hansen-Scheinkman Factorization, Ross Recovery and Long-Term Pricing," Papers 1411.3075,, revised Sep 2015.
    11. Si Cheng & Michael R. Tehranchi, 2015. "Polynomial term structure models," Papers 1504.03238,, revised Aug 2016.
    12. Marco Realdon, 2007. "Extended-Gaussian Term Structure Models and Credit Risk Applications," Discussion Papers 07/27, Department of Economics, University of York.
    13. Samson Assefa, 2007. "Calibration and Pricing in a Multi-Factor Quadratic Gaussian Model," Research Paper Series 197, Quantitative Finance Research Centre, University of Technology, Sydney.
    14. Filipović, Damir & Gourier, Elise & Mancini, Loriano, 2016. "Quadratic variance swap models," Journal of Financial Economics, Elsevier, vol. 119(1), pages 44-68.
    15. Realdon, Marco, 2009. ""Extended Black" term structure models," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 232-238, December.
    16. Niels Rom-Poulsen, 2007. "Semi-analytical MBS Pricing," The Journal of Real Estate Finance and Economics, Springer, vol. 34(4), pages 463-498, May.
    17. Zorana Grbac & Laura Meneghello & Wolfgang J. Runggaldier, 2015. "Derivative pricing for a multi-curve extension of the Gaussian, exponentially quadratic short rate model," Papers 1512.03259,, revised Jun 2016.
    18. Robert A. Jarrow, 2009. "The Term Structure of Interest Rates," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 69-96, November.
    19. Realdon, Marco, 2016. "Tests of non linear Gaussian term structure models," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 44(C), pages 128-147.
    20. Samson Assefa, 2007. "Pricing of Defaultable Securities in a Multi-Factor Quadratic Gaussian Model," Research Paper Series 202, Quantitative Finance Research Centre, University of Technology, Sydney.
    21. Peng Cheng & Olivier Scaillet, 2007. "Linear-Quadratic Jump-Diffusion Modeling," Mathematical Finance, Wiley Blackwell, vol. 17(4), pages 575-598.
    22. Cody Hyndman & Xinghua Zhou, 2014. "Explicit solutions of quadratic FBSDEs arising from quadratic term structure models," Papers 1410.1220,, revised Dec 2014.
    23. Christa Cuchiero & Martin Keller-Ressel & Josef Teichmann, 2012. "Polynomial processes and their applications to mathematical finance," Finance and Stochastics, Springer, vol. 16(4), pages 711-740, October.

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