Asset 1: Asymmetric Power Call 2 on Asset 2 and Asymmetric Power Put 1 on Asset 3 in terms of Asset 1. Formula: H1 = max (X1- s12^(-T), 0) + + max (X2 - s13^T, 0); 0<T<2

Asset 2: unidentified

Asset 3: unidentified

This example demonstrates that there are no limits to the level of complexity that PAT can handle — financially equivalent payoffs are always produced easily. Each of the three payoffs can be a simple option, or it can be an entire portfolio consisting of a multitude of various financial instruments with dozens of differently shaped payoffs. PAT, working at the level of the symmetry underlying all of the assets, instantly produces financially equivalent payoffs.