In this document we saw how PAT functions in the two- and three-asset environments. A direct extension from here would be to apply PAT in a truly multi-asset environment. There are no limits to the number of assets that PAT can handle; PAT will always identify financially equivalent payoffs, no matter how complex the environment. In any industry dealing with multiple assets and currencies, PAT can be used to coordinate financial transactions and manage risk.

This document has been written for electric power producers. However, there are no limits to employing PAT in various financial situations. The assets that PAT can handle can be virtually anything: stocks, currencies, interest rates, commodities, etc. The important feature of PAT is that it is based on the underlying symmetry inherent in any markets where one asset is exchanged for another. PAT provides a vastly more efficient method than conducting financial transactions based on the statistical analysis of various risk factors separately; a process in which the underlying symmetry cannot be seen.

The level of complexity in today's financial markets is enormous. There are numerous exotic options at traders' and risk-managers' disposal. Without properly analyzing the impact of such instruments on the enterprise's operations as a whole, the risks assumed can be much greater than originally expected. Using incorrect or inadequate financial instruments creates only an illusion that risks have been managed or that profitable positions have been entered. Such an illusion can be even more dangerous than simply ignoring the risk.

In presenting PAT in two- and three-asset environments, we looked only at American and European options. PAT is equally applicable to any other types of exotic options like Asian options, Correlation options, and others.