A unified approach to determining the early exercise boundary position at expiry for American style of general class of derivatives
In this paper, we present a new method for calculating the limit of early exercise boundary at expiry. We price American style of general derivative using a formula expressed as a sum of the value of European style of derivative and so called American premium. We use the latter expression to calculate an analytic formula for limit of early exercise boundary at expiry. Method applied on American style plain vanilla, Asian and lookback options yields identical results with already known values. Results for selected American style of derivative strategies are compared with limits calculated by the PSOR method.
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- Chiarella, Carl & Ziogas, Andrew, 2005.
"Evaluation of American strangles,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 29(1-2), pages 31-62, January.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Computing in Economics and Finance 2002 28, Society for Computational Economics.
- Carl Chiarella & Andrew Ziogas, 2002. "Evaluation of American Strangles," Research Paper Series 83, Quantitative Finance Research Centre, University of Technology, Sydney.
- Asbjørn T. Hansen & Peter Løchte Jørgensen, 2000. "Analytical Valuation of American-Style Asian Options," Management Science, INFORMS, vol. 46(8), pages 1116-1136, August.
- Daniel Sevcovic, 2008. "Transformation methods for evaluating approximations to the optimal exercise boundary for linear and nonlinear Black-Scholes equations," Papers 0805.0611, arXiv.org.
- Tomas Bokes & Daniel Sevcovic, 2009. "Early exercise boundary for American type of floating strike Asian option and its numerical approximation," Papers 0912.1321, arXiv.org.
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