High Order Discretization Schemes for Stochastic Volatility Models
نویسندگان
چکیده
منابع مشابه
High order discretization schemes for stochastic volatility models
In typical stochastic volatility models, the process driving the volatility of the asset price evolves according to an autonomous one-dimensional stochastic differential equation. We assume that the coefficients of this equation are smooth. Using Itô’s formula, we get rid, in the asset price dynamics, of the stochastic integral with respect to the Brownian motion driving this SDE. Taking advant...
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Using an Euler discretisation to simulate a mean-reverting CEV process gives rise to the problem that while the process itself is guaranteed to be nonnegative, the discretisation is not. Although an exact and efficient simulation algorithm exists for this process, at present this is not the case for the CEV-SV stochastic volatility model, with the Heston model as a special case, where the varia...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2011
ISSN: 1556-5068
DOI: 10.2139/ssrn.1452727