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Calibration and Pricing in a Multi-Factor Quadratic Gaussian Model

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Author Info
Samson Assefa
Abstract

We consider a two-country multi-factor quadratic Gaussian model and provide efficient formulas for the price of default free bonds and the calibration of the model to the default free discount term structure. We also provide approximations for the price of default free swaptions in such a model indicating the limitation of using an approach based on replacing certain martingales by their expectation.

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Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 197.

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Length: 77
Date of creation: 01 May 2007
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Handle: RePEc:uts:rpaper:197

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, EconWPA. [Downloadable!]
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  2. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196. [Downloadable!] (restricted)
    Other versions:
  3. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January. [Downloadable!] (restricted)
  4. Farshid Jamshidian, 1997. "LIBOR and swap market models and measures (*)," Finance and Stochastics, Springer, vol. 1(4), pages 293-330. [Downloadable!] (restricted)
  5. David F. Schrager & Antoon A. J. Pelsser, 2006. "Pricing Swaptions And Coupon Bond Options In Affine Term Structure Models," Mathematical Finance, Blackwell Publishing, vol. 16(4), pages 673-694. [Downloadable!] (restricted)
  6. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  7. Markus Leippold & Liuren Wu, 2002. "Design and Estimation of Quadratic Term Structure Models," Finance 0207014, EconWPA. [Downloadable!]
  8. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 15(1), pages 243-288, March.
  9. Amin, Kaushik I. & Jarrow, Robert A., 1991. "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 310-329, September. [Downloadable!] (restricted)
  10. Li Chen & Damir Filipović & H. Vincent Poor, 2004. "Quadratic Term Structure Models For Risk-Free And Defaultable Rates," Mathematical Finance, Blackwell Publishing, vol. 14(4), pages 515-536. [Downloadable!] (restricted)
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  1. 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. [Downloadable!]
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