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Ценообразование опционов на основе модели геометрического случайного блуждания в случайной среде

Ценообразование опционов на основе модели геометрического случайного блуждания в случайной среде

Abstract

On sideways market log-returns are not normally distributed and the Black-Scholes model gives wrong value of option. In this paper we present a stochastic model of financial time series takes account of 'memory effect' in evolution of assets prices, which have been applied to an estimation of the premium for European call option.

Построена стохастическая модель финансового временного ряда без линейного сноса, позволяющая учитывать эффект памяти в изменениях цен финансовых активов, и получена формула для оценки премии европейского колл-опциона.

Keywords

ЦЕНООБРАЗОВАНИЕ ОПЦИОНОВ,ГЕОМЕТРИЧЕСКОЕ СЛУЧАЙНОЕ БЛУЖДАНИЕ В СЛУЧАЙНОЙ СРЕДЕ,ПРЕДЕЛЬНОЕ РАСПРЕДЕЛЕНИЕ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average