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IOR
2006
192views more  IOR 2006»
13 years 4 months ago
Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes
The stochastic differential equations for affine jump diffusion models do not yield exact solutions that can be directly simulated. Discretization methods can be used for simulati...
Mark Broadie, Özgür Kaya
WSC
2004
13 years 6 months ago
Exact Simulation of Option Greeks under Stochastic Volatility and Jump Diffusion Models
This paper derives Monte Carlo simulation estimators to compute option price derivatives, i.e., the `Greeks,' under Heston's stochastic volatility model and some variant...
Mark Broadie, Özgür Kaya
SIAMSC
2008
150views more  SIAMSC 2008»
13 years 4 months ago
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
Asymptotic linear stability is studied for stochastic differential equations (SDEs) that incorporate Poisson-driven jumps and their numerical simulation using Eulertype discretisa...
Graeme D. Chalmers, Desmond J. Higham