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Fast approximations of bond option prices under CKLS models

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  • Tangman, D.Y.
  • Thakoor, N.
  • Dookhitram, K.
  • Bhuruth, M.
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    Abstract

    A new computational method for approximating prices of zero-coupon bonds and bond option prices under general Chan–Karolyi–Longstaff–Schwartz models is proposed. The pricing partial differential equations are discretized using second-order finite difference approximations and an exponential time integration scheme combined with best rational approximations based on the Carathéodory–Fejér procedure is employed for solving the resulting semi-discrete equations. The algorithm has a linear computational complexity and provides accurate bond and European bond option prices. We give several numerical results which illustrate the computational efficiency of the algorithm and uniform second-order convergence rates for the computed bond and bond option prices.

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    File URL: http://www.sciencedirect.com/science/article/pii/S1544612311000158
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    Bibliographic Info

    Article provided by Elsevier in its journal Finance Research Letters.

    Volume (Year): 8 (2011)
    Issue (Month): 4 ()
    Pages: 206-212

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    Handle: RePEc:eee:finlet:v:8:y:2011:i:4:p:206-212

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    Web page: http://www.elsevier.com/locate/frl

    Related research

    Keywords: Interest rate models; Bond options; Finite differences; Exponential time integration;

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    1. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
    2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    3. Choi, Youngsoo & Wirjanto, Tony S., 2007. "An analytic approximation formula for pricing zero-coupon bonds," Finance Research Letters, Elsevier, vol. 4(2), pages 116-126, June.
    4. Sorwar, Ghulam & Barone-Adesi, Giovanni & Allegretto, Walter, 2007. "Valuation of derivatives based on single-factor interest rate models," Global Finance Journal, Elsevier, vol. 18(2), pages 251-269.
    5. 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.
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