On numerical pricing of put-call parities for Asian options driven by new time-fractional Black-Scholes evolution equation

نویسندگان

چکیده

The objective of this paper is twofold. Firstly, to derive time-fractional evolution equation modeling the No-Arbitrage premium Asian option (with arithmetic and geometric averages ) contingent upon an underlying asset that satisfies fractional stochastic differential equation, in a setting when strike price fixed floating. Secondly, we have computed four versions put-call parities for options, by solving Black-Scholes difference premiums put call through Fractional Reduced Differential Transform (FRDT) algorithm. We also established convergence error estimates FRDT Algorithm two independent variables.

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ژورنال

عنوان ژورنال: Filomat

سال: 2021

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2113427h