Let X = {X t ; t = 0, 1, ,T} be a stochastic process adapted

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Let X = {X; t = 0, 1, ··· ,T} be a stochastic process adapted to the filtration F = {F; t = 0, 1, ··· , T}. Does the property: E[Xt+1 − Xt|Ft] = 0,t = 0, 1, ··· ,T − 1 imply that X is a martingale?

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