The path integral representation kernel of evolution operator in Merton-Garman model

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 Black-Scholes result. Possible approximation numerical schemes for path integral calculations are propos...

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Bibliographic Details
Main Authors: V.S. Yanishevsky, L.F. Blazhyevskyi
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2011-06-01
Series:Condensed Matter Physics
Subjects:
Online Access:http://dx.doi.org/10.5488/CMP.14.23001