Calculadora de Volatilidade
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
vol_anual = vol_diária × √252
About this calculator
This calculator converts the daily volatility of a financial asset into its annualized volatility, using the square root of 252 business days factor. The formula is: annual volatility = daily volatility × √252. The number 252 represents the typical trading days in the Brazilian financial market, allowing investors to compare risks across different time horizons.
How it works: simply enter the daily volatility value (in percentage) and the calculator returns the annual equivalent. For example, a daily volatility of 2% results in approximately 31.75% per year. This calculation is essential for those using models such as Value at Risk (VaR) or Option Pricing (Black-Scholes), which require annualized risk measures.
When to use: ideal for investors tracking stocks, real estate funds, cryptocurrencies, or any asset with known daily volatility. Useful also for adjusting stop loss strategies or sizing positions. Caution: the formula assumes returns are independent and identically distributed, which may not hold during crisis periods or high day-to-day correlation.
Frequently asked questions
Why use 252 business days instead of 365?
Financial markets operate only on business days, and 252 is the average annual trading days in Brazil. Using 365 would include weekends and holidays with no trading, distorting volatility.
Can I use this calculator for cryptocurrencies?
Yes, as long as you have daily volatility. Note that cryptocurrencies trade 24/7, so some analysts use 365 days. Adjust according to your context.
What does an annualized volatility of 30% mean?
It means the standard deviation of expected annual returns is 30%. In practice, the asset price can vary about 30% up or down in a year, with 68% confidence.
Does this formula work for any period?
The formula works for converting any frequency to annual: multiply volatility by the square root of the number of periods in a year. Example: weekly (√52), monthly (√12).
What if the daily volatility is negative?
Volatility is always positive, as it measures dispersion. If you enter a negative value, the calculator will use the absolute value for the calculation.