In many countries, the electric power system and market interconnection is undergoing. To facilitate an efficient interconnection power market, transparent congestion management methodology is essential. In this paper, the explicit auction of transmission rights in the interconnection power market is simulated. An algorithm for evaluating values and Value-At-Risk(VAR) and for long-term transmission rights using Monte-Carlo Simulation(MCS) and Probabilistic Optimal Power Flow(POPF) is proposed to give information to transmission right providers and market participants.