A P.D.E. Approach to Asian Options: Analytical and Numerical Evidence
AbstractWe first derive a one state variable partial differential equation, easy to emplement, which characterizes the price of a European type Asian option. This result is explained and related to previous literature. When we derive new results on the hedging of an Asian option and propose analytical and numerical analysis on the comparison between Asian and European options. Our methodology which applies to "fixed-strike" Asian options as well to "floating-strike" Asian options completes and clarifies various results in the literature. In this paper we focus on "backward-starting" Asian options. Our approach is quite general however, and we explain how to adapt our main results to the case of "forward-starting" Asian options.
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Bibliographic InfoPaper provided by Toulouse - GREMAQ in its series Papers with number 96.430.
Length: 29 pages
Date of creation: 1996
Date of revision:
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FINANCIAL MARKET ; PRICING;
Other versions of this item:
- Alziary, Benedicte & Decamps, Jean-Paul & Koehl, Pierre-Francois, 1997. "A P.D.E. approach to Asian options: analytical and numerical evidence," Journal of Banking & Finance, Elsevier, vol. 21(5), pages 613-640, May.
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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