P. Wilmott et Ae. Whalley, OPTION PRICING, TRANSACTION COSTS AND NONLINEARITIES, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 85-88
In this paper we explain some of the concepts used in the mathematical
theory of option pricing, show how the introduction of transaction co
sts into the problem of option pricing leads to a nonlinear partial di
fferential equation, and briefly review some of the properties exhibit
ed by these models.