Before revision:  General formulas for the minimal risk function and the cost reduction function for the option H depending on multiple underlying are derived. The case of a linear and a strictly convex loss function l are examined. Explicit computation for l(x)=x and l(x)=x^p, with p>1 for digital, quantos, outperformance and spread options are presented.
After revision:  General formulas for the minimal risk function and the cost reduction function for basket derivatives are shown. Explicit integral representations for the risk functions for l(x)=x and l(x)=x^p, with p>1 for digital, quantos, outperformance and spread options are presented.