Authors: MouHsiung Chang Tao Pang Moustapha Pemy
Publish Date: 2010/07/06
Volume: 23, Issue: 3, Pages: 438-455
Abstract
This paper addresses a finite difference approximation for an infinite dimensional BlackScholes equation obtained by Chang and Youree 2007 The equation arises from a consideration of an European option pricing problem in a market in which stock prices and the riskless asset prices have hereditary structures Under a general condition on the payoff function of the option it is shown that the pricing function is the unique viscosity solution of the infinite dimensional BlackScholes equation In addition a finite difference approximation of the viscosity solution is provided and the convergence results are proved
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