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Two-sided estimates for stock price distribution densities in jump-diffusion models
Stochastic volatility models Jump-diffusion models Stock
2010/10/20
We consider uncorrelated Stein-Stein, Heston, and Hull-White models and their perturbations by compound Poisson processes with jump amplitudes distributed according to a double exponential law. Simila...
Asymptotic Behavior of the Stock Price Distribution Density and Implied Volatility in Stochastic Volatility Models
true martingales one-dimensional diffusions separating times financial bubbles
2010/11/1
The stochastic exponential Zt = exp{Mt − M0 − (1/2)hM,Mit} of a continuous local martingale M is itself a continuous local martingale. We give a necessary and sufficient condition for the ...