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Fast approximations of bond option prices under CKLS models

Author

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

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.

Suggested Citation

  • Tangman, D.Y. & Thakoor, N. & Dookhitram, K. & Bhuruth, M., 2011. "Fast approximations of bond option prices under CKLS models," Finance Research Letters, Elsevier, vol. 8(4), pages 206-212.
    • Handle: RePEc:eee:finlet:v:8:y:2011:i:4:p:206-212
    DOI: 10.1016/j.frl.2011.03.002
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    References listed on IDEAS

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    1. 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.
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    3. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    4. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    5. 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.
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    Cited by:

    1. Sikora, Grzegorz & Michalak, Anna & Bielak, Łukasz & Miśta, Paweł & Wyłomańska, Agnieszka, 2019. "Stochastic modeling of currency exchange rates with novel validation techniques," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1202-1215.

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    More about this item

    Keywords

    Interest rate models; Bond options; Finite differences; Exponential time integration;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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