Summary: The objective of this paper is to present the main aspects of optimal stopping theory \(m\) a discrete-time framework and provide an application of this theory on the employee’s professional profile formation. We address the optimal time of termination of education by maximizing the employer’s expected discounted profits. Most models exclude any arbitrage opportunity (possibility of riskless profit) employing the notion of a martingale. More specifically, following a discussion of the use of self-financing formation strategies to hedge against formation risk, we show how the employer’s (investor) profile formation option can be priced using an equivalent measure for which the discounted price process is a martingale. This is illustrated for the simple binomiai Cox-Ross-Rubinstein pricing model, and the Black and Scholes formula is derived as the limit of the prices obtained from the model. Finally, using “Doob’s decomposition” of Snell Envelope we prove that the editor (employer-state) of the profile formation option has at bis disposai a strategy of hedging. That is to say, there is an admissible self-financing strategy (and the martingale measure is unique), which when followed the editor is hedged.