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A Reduction Method Applicable to Compound Option Formulas

Author

Listed:
  • Mark Schroder

    (Kidder, Peabody and Co., Inc., 20 Exchange Place, New York, New York 10005)

Abstract

Curnow and Dunnett (Curnow, R. N., C. W. Dunnett. 1962. The numerical evaluation of certain multivariate normal integrals. Ann. Math. Statist. 33 571--579.) derive a reduction formula for multivariate normal integrals with a certain type of correlation matrix. This paper presents a more general reduction formula which can reduce substantially the computational cost of high dimension integrals. This method has a number of applications in option pricing theory in finance.

Suggested Citation

  • Mark Schroder, 1989. "A Reduction Method Applicable to Compound Option Formulas," Management Science, INFORMS, vol. 35(7), pages 823-827, July.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:7:p:823-827
    DOI: 10.1287/mnsc.35.7.823
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    Citations

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    Cited by:

    1. Lee, Meng-Yu & Yeh, Fang-Bo & Chen, An-Pin, 2008. "The generalized sequential compound options pricing and sensitivity analysis," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 38-54, January.
    2. Andrew Ziogas, 2005. "Pricing American Options Using Fourier Analysis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2005.
    3. B. Gao J. Huang, "undated". "The Valuation of American Barrier Options Using the Decomposition Technique," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-002, New York University, Leonard N. Stern School of Business-.
    4. Wai Man Tse & Leong Kwan Li & Kai Wang Ng, 2001. "Pricing Discrete Barrier and Hindsight Options with the Tridiagonal Probability Algorithm," Management Science, INFORMS, vol. 47(3), pages 383-393, March.
    5. Gao, Bin & Huang, Jing-zhi & Subrahmanyam, Marti, 2000. "The valuation of American barrier options using the decomposition technique," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1783-1827, October.
    6. Andrew Ziogas, 2005. "Pricing American Options Using Fourier Analysis," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 29, July-Dece.

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