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arxiv: 0910.5594 · v1 · pith:KT46NU4Unew · submitted 2009-10-29 · 🧮 math.AP · cs.NA· math.NA

Convergence of the Approximation scheme to American option pricing via the discrete Morse semiflow

classification 🧮 math.AP cs.NAmath.NA
keywords convergenceschemeamericanapproximateapproximationdiscretemorseoption
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We consider the approximation scheme of the American call option via the discrete Morse semiflow. It is the minimizing scheme of a time-semidiscretized variational functional. In this paper we obtain a rate of convergence of approximate solutions. In addition, the convergence of approximate free boundaries is proved.

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