Implied volatility

Mean-reverting smiles

Commodity markets such as crude oil exhibit mean reversion as well as option smiles. David Beaglehole and Alain Chebanier meet this challenge, constructing a model suitable for pricing exotic options in these markets

Pricing default baskets

Nicholas Dunbar, Risk’s technical editor, introduces the first in a new series of technical papers written by quants at Deutsche Bank.“Default correlation has been one of the hottest topics in credit derivatives over the past year. So it is a pleasure to…

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

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