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The Exact Smile of some Local Stochastic Volatility Models
CEV local volatility stochastic volatility implied volatility.
2012/9/14
We introduce a class of local stochastic volatility models.Within our framework, we obtain an expression for both (i) the price of any European option and (ii) the induced implied volatility smile. To...
Bounds on Stock Price probability distributions in Local-Stochastic Volatility models
Law of the spot price local-stochastic volatility moment explosion
2010/10/20
We show that in a large class of stochastic volatility models with additional skew-functions (local-stochastic volatility models) the tails of the cumulative distribution of the log-returns behave as...