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A semi-analytic method for valuing high-dimensional options on the maximum and minimum of multiple assets

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  • Xun Li

    ()

  • Zhenyu Wu

    ()

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    Abstract

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    File URL: http://hdl.handle.net/10.1007/s10436-005-0034-7
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    Bibliographic Info

    Article provided by Springer in its journal Annals of Finance.

    Volume (Year): 2 (2006)
    Issue (Month): 2 (March)
    Pages: 179-205

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    Handle: RePEc:kap:annfin:v:2:y:2006:i:2:p:179-205

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    Web page: http://www.springerlink.com/link.asp?id=112370

    Related research

    Keywords: High-dimensional options; Maximum; Minimum; Mean-reverting; Stochastic volatility; C63; G12;

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    References

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    1. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March.
    2. Huisman, Ronald & Mahieu, Ronald, 2003. "Regime jumps in electricity prices," Energy Economics, Elsevier, vol. 25(5), pages 425-434, September.
    3. H�lyette Geman & Andrea Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1225-1262, May.
    4. Geman, Hélyette & Roncoroni, Andréa, 2006. "Understanding the Fine Structure of Electricity Prices," Economics Papers from University Paris Dauphine 123456789/1433, Paris Dauphine University.
    5. Boyle, Phelim P, 1989. " The Quality Option and Timing Option in Futures Contracts," Journal of Finance, American Finance Association, vol. 44(1), pages 101-13, March.
    6. Boyle, Phelim P. & Tse, Y. K., 1990. "An Algorithm for Computing Values of Options on the Maximum or Minimum of Several Assets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(02), pages 215-227, June.
    7. 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.
    8. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    9. Johnson, Herb, 1987. "Options on the Maximum or the Minimum of Several Assets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(03), pages 277-283, September.
    10. Stulz, ReneM., 1982. "Options on the minimum or the maximum of two risky assets : Analysis and applications," Journal of Financial Economics, Elsevier, vol. 10(2), pages 161-185, July.
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    Cited by:
    1. Jin, Xing & Li, Xun & Tan, Hwee Huat & Wu, Zhenyu, 2013. "A computationally efficient state-space partitioning approach to pricing high-dimensional American options via dimension reduction," European Journal of Operational Research, Elsevier, vol. 231(2), pages 362-370.

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