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PDE methods for pricing barrier options

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  • Zvan, R.
  • Vetzal, K. R.
  • Forsyth, P. A.
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    File URL: http://www.sciencedirect.com/science/article/B6V85-412RWNR-4/2/4eccddca471fb10cd6ac7b187a9323fc
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 24 (2000)
    Issue (Month): 11-12 (October)
    Pages: 1563-1590

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    Handle: RePEc:eee:dyncon:v:24:y:2000:i:11-12:p:1563-1590

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

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    References

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    1. 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.
    2. K. Sandmann & Reimer, M., 1995. "A Discrete Time Approach for European and American Barrier Options," Discussion Paper Serie B 272, University of Bonn, Germany.
    3. Boyle, Phelim P. & Tian, Yisong “Sam”, 1999. "Pricing Lookback and Barrier Options under the CEV Process," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(02), pages 241-264, June.
    4. Mark Broadie & Paul Glasserman & Steven Kou, 1997. "A Continuity Correction for Discrete Barrier Options," Mathematical Finance, Wiley Blackwell, vol. 7(4), pages 325-349.
    5. Hélyette Geman & Marc Yor, 1996. "Pricing And Hedging Double-Barrier Options: A Probabilistic Approach," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 365-378.
    6. Geske, Robert & Shastri, Kuldeep, 1985. "The early exercise of American puts," Journal of Banking & Finance, Elsevier, vol. 9(2), pages 207-219, June.
    7. Naoto Kunitomo & Masayuki Ikeda, 1992. "Pricing Options With Curved Boundaries," Mathematical Finance, Wiley Blackwell, vol. 2(4), pages 275-298.
    8. Stephen Figlewski & Bin Gao, 1998. "The Adaptive Mesh Model: A New Approach to Efficient Option Pricing," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-032, New York University, Leonard N. Stern School of Business-.
    9. Jan Ericsson & Joel Reneby, 1998. "A framework for valuing corporate securities," Applied Mathematical Finance, Taylor & Francis Journals, vol. 5(3-4), pages 143-163.
    10. P. Carr, 1995. "Two extensions to barrier option valuation," Applied Mathematical Finance, Taylor & Francis Journals, vol. 2(3), pages 173-209.
    11. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
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    Citations

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    Cited by:
    1. Chung, San-Lin & Shih, Pai-Ta & Tsai, Wei-Che, 2013. "Static hedging and pricing American knock-in put options," Journal of Banking & Finance, Elsevier, vol. 37(1), pages 191-205.
    2. Alfredo Ibáñez, 2003. "Robust Pricing of the American Put Option: A Note on Richardson Extrapolation and the Early Exercise Premium," Management Science, INFORMS, vol. 49(9), pages 1210-1228, September.
    3. Dai, Min & Li, Peifan & Zhang, Jin E., 2010. "A lattice algorithm for pricing moving average barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 542-554, March.
    4. Simona Sanfelici, 2004. "Galerkin infinite element approximation for pricing barrier options and options with discontinuous payoff," Decisions in Economics and Finance, Springer, vol. 27(2), pages 125-151, December.
    5. Barone-Adesi, Giovanni & Bermudez, Ana & Hatgioannides, John, 2003. "Two-factor convertible bonds valuation using the method of characteristics/finite elements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1801-1831, August.
    6. Fusai, Gianluca & Recchioni, Maria Cristina, 2007. "Analysis of quadrature methods for pricing discrete barrier options," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 826-860, March.
    7. A. Mayo, 2004. "High-order accurate implicit finite difference method for evaluating American options," The European Journal of Finance, Taylor & Francis Journals, vol. 10(3), pages 212-237.

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