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Antonietta Mira INDEX (Literature) Monte Carlo Markov chains Markov chain Monte Carlo Metropolis algorithm (1953) Hastings algorithm (1970) Gibbs Sampler (Geman & Geman, 1984) \heat bath" physics 1979, 1976 Green algorithm (1995) Examples
* An introduction to Black-Scholes and arbitrage arguments * An introduction to put-call parity. * Numerical methods for a Partial-Integro Differential Equation arising from a jump-diffusion model * Numerical methods for pricing American options using a jump-diffusion model
The purpose of this document is to introduce implied, local and stochastic volatility, to review evidence of non-constant volatility, and to consider the implications for option pricing of alternative random or stochastic volatility models. We focus on continuous time diffusion models for the volatility, but we also briefly discuss certain classes of discrete time models, such as ARV or ARCH.