🔎 How is volatility calculated?

**Bottom-line:** Volatility is calculated as the standard deviation of an asset’s historical returns—annualized to make it comparable across time frames—while implied volatility is “back-solved” from option prices. 📈🔍 --- ### 1. Historical Volatility (HV) – “What actually happened” 🕰️📊 • Take the daily (or other periodic) returns of the stock or index. • Compute the standard deviation of those returns. • Annualize by multiplying by the square root of the number of periods in a year (e.g., √252 for daily returns in a 252-day trading year) . • That gives you the asset’s historical volatility—how much it has moved in the past. ### 2. Implied Volatility (IV) – “What the market expects” 🌐🔮 • Plug an option’s market price into a pricing model (e.g., Black-Scholes). • Solve for the volatility input that makes the model’s output match the market price. • The result is the implied volatility—essentially the market’s forecast of future price swings . ### 3. Why the Square-Root? 🧮✨ • Price changes tend to cancel out over time; the *typical* deviation grows with the square root of time, not linearly . • That’s why we multiply the daily standard deviation by √252 (or similar) to express volatility on an annual basis. ### 4. Practical Tips for Investors 💡💰 1. Use historical volatility to gauge an asset’s risk profile and compare it with peers. 2. Track implied volatility to assess whether options are “cheap” or “expensive”; high IV can signal upcoming uncertainty (or simply overpriced options). 3. Blend both measures—historical for long-term context and implied for near-term expectations—especially when valuing complex instruments like employee stock options . --- Ready to put this into action? Which metric—past swings or future expectations—do you find more compelling for your next income-oriented fund selection? 😄🤔