Implied volatility
The taming of the skew
Implied volatility
A mixed-up smile
Implied volatility
Swaptions with a smile
Masterclass – with JP Morgan
The tree of knowledge
Options
Rates of skew
Interest rate models
If the skew fits
Volatility
Regimes of volatility
Options markets
Pricing with a smile
Bruno Dupire shows how the Black-Scholes model can be extended tomake it compatible with observed market volatility smiles, allowingconsistent pricing and hedging of exotic options