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The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula Merton-Garman model
2011/7/5
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed.
Based on this kernel option formula is obtained, which generalizes the well-known Bla...
Path integral approach to Asian options in the Black-Scholes model
Path integral Asian options Black-Scholes model
2010/11/1
We derive a closed-form solution for the price of an average price as well as an average strike
geometric Asian option, by making use of the path integral formulation. Our results are compared to a n...
Appraisal of a contour integral method for the Black-Scholes and Heston equations
matrix exponential Laplace transform numerical contour integration financial option pricing
2010/11/3
A contour integral method recently proposed by Weideman [IMA J. Numer. Anal., to appear] for
integrating semi-discrete advection-diffusion PDEs, is extended for application to some of the important e...