Question: In the binominal pricing model, the standard deviation or sigma is used to measure volatility. Conceptually, why is this used? A single standard deviation does

In the binominal pricing model, the standard deviation or sigma is used to measure volatility.

Conceptually, why is this used? A single standard deviation does not capture all possible outcomes and in reality the volatility of returns could be larger than one standard deviation (i.e sigma).

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