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Annualized Volatility (Sigma)

Risk Metric

Annualized Volatility (sigma) measures how much a price fluctuates over a year, calculated as the standard deviation of daily log returns scaled by √365.

Volatility (sigma, σ) is the statistical measure of price dispersion. For crypto, it is calculated from daily log returns: ln(today's close / yesterday's close). The daily standard deviation is then annualized by multiplying by √365 (the number of trading days in a year for crypto — unlike equities which use √252 because stock markets are closed on weekends).

A sigma of 80% means that in a typical year, the price could swing roughly ±80% from its starting value (assuming normally distributed returns — which crypto is not, but sigma is still the standard convention). XRP's annualized sigma has historically ranged from 70-100%, while smaller ISO 20022 coins like IOTA and QNT often show 80-130%.

High sigma is not inherently bad for investors with a long time horizon — it means more potential upside, but also more potential downside. The Sharpe and Sortino ratios contextualize sigma by measuring whether the return was worth the volatility experienced.

Crypto Relevance

Comparing sigma across ISO 20022 coins helps investors understand relative risk: XRP typically has lower sigma than IOTA or QNT, making it the "safer" ISO 20022 play in terms of price stability, even if its upside is also more limited.

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Last reviewed: 2026-05-17

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Not financial advice. Nothing on this site constitutes investment advice. Always do your own research (DYOR).