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Implied Volatility

The volatility input consistent with an observed option price under a model.

#An inverted price

Implied volatility is obtained by solving a pricing model for the volatility input that reproduces an observed option price. It is model-dependent and forward-looking only in the limited sense that market prices embed expectations and risk premia.

#Not a direct forecast

  • Different strikes and expiries can carry different implied volatilities.
  • Liquidity and supply-demand imbalances affect observed prices.
  • Realized volatility can be higher or lower.
  • Jumps and corporate events can dominate smooth-model assumptions.

#Reading premium

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