The Brazilian energy market is composed basically by hydroelectric and thermoelectric energy sources, which can be contracted in two different environments, one regulated and the other free. In this way, the pricing of energy is something complex and uncertain, because its model takes in consideration the behavior of future water affluences, besides estimating the more expensive thermal units. In Brazil, there are four submarkets that have diverging prices and some traders use this difference to reach extraordinary gains by entering into Swap operations. This operation consists of buying and selling a same amount of energy with its liquidation fixed at pre-determined date, at a spot price between different submarkets. These companies use portfolio optimization and risk management methods to reach optimal operations, in which there is a greater probability of maximizing profits, while measuring risk. This study aim to find the portfolio of Swaps that`s maximize the Omega measurement as the performance measurement, has a estimated profit and uses the conditional Value at Risk (CVaR) as the restriction for the risk that can be taken. Its objective is to help traders maximize their profit without exceeding their risk limit. The study took in consideration values from real previsions made by models provided by specialized agencies, taking in consideration all the data for the years of 2012 and 2013, with all the combinations of Swaps being studied. The optimal portfolio was achieved in both cases however, it`s possible to conclude that this composition varies according the input data, not existing thereby a unique optimal portfolio should that be calculated by case.