FPSO contracts tipically include clauses that allow contractual extensions after a fixed period of time. The exercise of these extensions options are the prerogative of the Exploration and Production (E and P) company that hires the FPSO. This management flexibility is not captured by traditional valuation tools such as the Discounted Cash Flow method, and thus, the challenge is how to define the value of a project given that exist contractual extensions options. In this work we analyse the value of these options from the standpoint of an FPSO chartering firm under the Real Options approach, considering that the exercise of these options result in additional cash flows to the chartering company beyond the original contract term. Differently of traditional results in options valuation found in literature, in this case, value is added also to the chartering firm, even though the firm holds a short position in the options. Two different stochastic processes were used to model project uncertainty and option pricing. The first was based on Geometric Brownian Motion (GMB) and the second in Mean Reverting Processes (MRP). The results in both cases suggest that the valuation of contractual extensions options add value to the project, and thus to the chartering firm, and consequently may improve the competitive position of the FPSO chartering firm in a bid process, as it is possible to share part of this value with E and P company through a reduction in the cost of the charter.