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Adapted Stochastic Process

Medium · Stochastic Calculus · Quant Trader interview question · stochastic-processes, filtration, measurability, adapted-process

Let $X_t$ be a stochastic process and $\{\mathcal{F}_t\}$ be a filtration. What does it mean for the stochastic process $X_t$ to be adapted to the filtration $\{\mathcal{F}_t\}$?