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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| Datum: | 2011 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2011
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/119975 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The path integral representation kernel of evolution operator in Merton-Garman model / L.F. Blazhyevskyi, V.S. Yanishevsky // Condensed Matter Physics. — 2011. — Т. 14, № 2. — С. 23001:1-16. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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 proposed. |
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