Computes historical volatility for any CoinGecko-listed token: log-return standard deviation over the last N days (default 30), annualized by sqrt(365). Returns daily and annualized volatility as percent, count of return observations, and first and last close prices. Backed by CoinGecko's free public market_chart endpoint. Use it as an annualized vol calculator, standard-deviation-of-returns tool, or crypto vol calculator.

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