Expanded forward volatility

Expanded forward volatility

market volatility

Modelling the implied volatility smile using local and stochastic volatility has been the subject of much research over the past 20 years (see, for example, Dupire, 1996, Hagan et al, 2002, Heston, 1993, Jex, Henderson & Wang, 1999, Lewis, 2000, and Lipton, 2002). Interest rate option desks typically need to maintain very large amounts of interlinked volatility data. For each currency, there might be 20 expiries and 20 tenors, that is, 400 volatility smiles. Furthermore, the smiles might be

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