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Summary

Implied volatility is an estimate of the future variability for the asset underlying the options contract, derived from the Black-Scholes formula.
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The Black-Scholes model is used to price options and relies on five variables for price calculation: underlying asset’s price, strike price, risk-free rate, volatility, and expiration time.
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According to

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Summaries from the best pages on the web

Summary
Implied volatility is derived from the Black-Scholes formula, and using it can provide significant benefits to investors. Implied volatility is an estimate of the future variability for the asset underlying the options contract. The Black-Scholes model is used to price options.

Implied Volatility in the Black-Scholes Formula - Investopedia
investopedia.com

Summary
The Black-Scholes model determines a stock’s theoretical price in options trading. It is used for both call and put options. The model relies on five variables for price calculation: underlying asset’s price, strike price, risk-free rate, volatility, and expiration time.

Black-Scholes Model (Option Pricing) - Meaning, Formula, Example
wallstreetmojo.com

The implied volatility is the level of ”sigma” replaced into the BS formula that will give you the lowest difference between the market price (that you already know) of the…

Implied volatility (video) | Khan Academy
khanacademy.org

Again, the Black-Scholes -Merton formula is an estimate of the prices of European call and put options, with the core difference between American and European options being that European options can…

Black-Scholes-Merton | Brilliant Math & Science Wiki
brilliant.org