%0 Journal Article
%T A Guaranteed Deterministic Approach to Superhedging¡ªThe Case of Convex Payoff Functions on Options
%J Mathematics | An Open Access Journal from MDPI
%D 2019
%R https://doi.org/10.3390/math7121246
%X This paper considers super-replication in a guaranteed deterministic problem setting with discrete time. The aim of hedging a contingent claim is to ensure the coverage of possible payoffs under the option contract for all admissible scenarios. These scenarios are given by means of a priori given compacts that depend on the history of prices. The increments of the price at each moment in time must lie in the corresponding compacts. The absence of transaction costs is assumed. The game¨Ctheoretic interpretation of pricing American options implies that the corresponding Bellman¨CIsaacs equations hold for both pure and mixed strategies. In the present paper, we study some properties of the least favorable (for the ¡°hedger¡±) mixed strategies of the ¡°market¡± and of their supports in the special case of convex payoff functions. View Full-Tex
%U https://www.mdpi.com/2227-7390/7/12/1246