Interest rate models enhanced with local volatility
In this paper, Lingling Cao and Pierre Henry-Labordère complement generic interest rate models with local volatility. They derive an exact Dupire-like formula for the local volatility. An efficient calibration scheme is then achieved with the particle method as introduced in Guyon & Henry-Labordère (2012)
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Dupire’s local volatility model, widely used in equity markets, has the property of being perfectly calibrated to vanillas. In fixed income markets, models with a similar property are not available.
Recently, Gatarek, Jablecki & Qu (2016) have considered a one-dimensional Cheyette model enhanced with local volatility and have derived an (approximate) Dupire-like local volatility formula for swaptions (see also Chibane & Law (2013), where a quadratic parameterisation
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