Lots of effort, has been exerted by the research community, to optimize the investment and profit in cloud networks through the proposition of pricing models, SLA features and resource provisioning techniques. The majority of these contributions assumed that cloud federation enhances network's profitability due to the increase in resource utilization, but to the best of our knowledge, none has proven this assumption. In this paper, we will compare the Return-On-Investment in standalone and federated cloud networks and prove mathematically that federation increases the profit. We will also compare the theoretical utilization rates in both networks and finally deduce the above assumption