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  • Implied volatility

Implied volatility#

Reading volatilities and distributions back out of option prices: the implied volatility, its at-the-money shortcut, the smile, and the risk-neutral density.

Latané-Rendleman implied volatility

Latané-Rendleman implied volatility

Breeden-Litzenberger risk-neutral density

Breeden-Litzenberger risk-neutral density

The volatility smile

The volatility smile

The Brenner-Subrahmanyam approximation

The Brenner-Subrahmanyam approximation

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Delta hedging in discrete time

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Latané-Rendleman implied volatility

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