Technical paper/Stochastic volatility
Local correlation families
Local correlation families
Rational shapes of local volatility
Rational shapes of local volatility
Expanded forward volatility
Expanded forward volatility
Cutting edge 2012: From stochastic volatility to shameful scams
From stochastic volatility to shameful scams
Quanto adjustments in the presence of stochastic volatility
It is well known that the quanto adjustment in the drift of the underlying has a significant impact on the prices of quanto options. Alexander Giese points out that an additional quanto adjustment in the underlying’s volatility needs to be considered in…
Quanto adjustments in the presence of stochastic volatility
Quanto adjustments in the presence of stochastic volatility
Stochastic volatility’s orderly smiles
Stochastic volatility’s orderly smiles
Perturbed Gaussian copula: introducing the skew effect in co-dependence
Gaussian copula models are often used in the industry when single-asset information is quoted but little is known about their joint relation. These models may arise from correlated stochastic Brownian processes with deterministic volatility and…
Being particular about calibration
Following previous work on the calibration of multi-factor local stochastic volatility models to market smiles, Julien Guyon and Pierre Henry-Labordère show how to calibrate exactly any such model. Their approach, based on McKean’s particle method,…
Right Laplace, right time
Right Laplace, right time
A Libor market model with a stochastic basis
A Libor market model with a stochastic basis
The value of a variance swap – a question of interest
Pricing equity variance swaps is well understood in the case of deterministic interest rates, but particularly for longer-dated swaps the stochastic nature of the rate cannot be ignored. Here, Per Hörfelt and Olaf Torné derive the fair strike when both…
Expanded smiles
Implementing models with stochastic as well as deterministic local volatility can be challenging. Here, Jesper Andreasen and Brian Huge describe an expansion approach for such models that avoids the high-dimensional partial differential equations usually…
Smile dynamics IV
Lorenzo Bergomi addresses the relationship between the smile that stochastic volatility models produce and the dynamics they generate for implied volatilities. He introduces a new quantity, the skew stickiness ratio (SSR), and shows how, at order one in…
Calibration of local stochastic volatility models to market smiles
Pierre Henry-Labordère introduces a new technique for calibrating local volatility extensions of arbitrary multi-factor stochastic volatility models to market smiles. Although approximate, this technique is both fast and accurate. The procedure is…