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In a arbitrage-free market, one can show the following theorem, known as the the law of one price. Consider two assets X and Y, as stochastic processes on [0, T]. If the values at date T of these two assets are the same in all scenarios, meaning for all , where denotes the universe of possible events (scenarios), then they have the same price at date t = 0, meaning (which are real numbers). The result remains true if one replaces = by or .