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How Does Implied Volatility Differ from Historical Volatility in Options Pricing?

Historical volatility (HV) is a backward-looking measure, calculated from the past price movements of the underlying asset. Implied volatility (IV) is a forward-looking measure, derived from the current market price of the option using a pricing model like Black-Scholes.

IV represents the market's expectation of future price volatility and is the most crucial input for options pricing, often reflecting market sentiment and risk perception.

What Is the Difference between Historical and Implied Volatility?
Distinguish between ‘Historical Volatility’ and ‘Implied Volatility’
Explain the Difference between ‘Implied Volatility’ and ‘Historical Volatility’
What Is the Difference between “Implied Volatility” and “Historical Volatility”?