Mathematics – Analysis of PDEs
Scientific paper
2009-03-02
Mathematics
Analysis of PDEs
8 pages
Scientific paper
Vecer derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options for both discrete and continuous arithmetic average. It is well understood that there exists a unique probabilistic solution to such a problem. However, due to degeneracy of the partial differential operator and lack of smoothness in the boundary data, the regularity of the probabilistic solution remained unclear in the case of discretely sampled Asian options. We prove the probabilistic solutions of Vecer's equation associated with discretely sampled Asian options are regular solutions.
Dong Hongjie
Kim Seick
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