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For linear multivariate purely second order highla degenerated parabolicequations with univariate convex data, monotonicity of the coefficent matricesimplies monotonicity of the related value functions under usual regularity andgrowth assumptions for the data and the coefficients. The comparison result isapplied to a new product, i.e., symmetric passport options.

Comparison results for highly degenerate parabolic equations with univariate convex data and optimal strategies for options on trading accounts