Explicit Bounds for Approximation Rates for Boundary Crossing Probabilities for the Wiener Process
AbstractWe give explicit upper bounds for convergence rates when approximating (both one- and two-sided general curvlinear) boundary crossing probabilities for the Wiener process by similar probabilities for close boundaries (of simpler form for which computing the possibility is feasible). In particular, we generalize and improve results obtained by Potzelberger and Wang  for the case when approximating boundaries are piecewise linear. Applications to barrier option pricing are discussed as well.
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Bibliographic InfoPaper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 115.
Date of creation: 01 Jan 2004
Date of revision:
wiener process; boundary crossing probabilities; barrier options;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-06-02 (All new papers)
- NEP-ECM-2004-06-09 (Econometrics)
- NEP-ETS-2004-06-02 (Econometric Time Series)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- G. O. Roberts & C. F. Shortland, 1997. "Pricing Barrier Options with Time-Dependent Coefficients," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 83-93.
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