The sub-fractional CEV model

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ARANEDA Axel Alejandro BERTSCHINGER Nils

Rok publikování 2021
Druh Článek v odborném periodiku
Časopis / Zdroj Physica A: Statistical Mechanics and its Applications
Fakulta / Pracoviště MU

Ekonomicko-správní fakulta

Citace
www https://doi.org/10.1016/j.physa.2021.125974
Doi http://dx.doi.org/10.1016/j.physa.2021.125974
Klíčová slova CEV model; Econophysics; Long-range dependence; Option pricing; Sub-fractional Brownian motion; Sub-fractional Fokker–Planck
Přiložené soubory
Popis The sub-fractional Brownian motion (sfBm) is a stochastic process, characterized by non-stationarity in their increments and long-range dependence, considered as an intermediate step between the standard Brownian motion (Bm) and the fractional Brownian motion (fBm). The mixed process, a linear combination between a Bm and an independent sfBm, called mixed sub-fractional Brownian motion (msfBm), keeps the features of the sfBm adding the semi-martingale property for H>3/4, is a suitable candidate to use in price fluctuation modeling, in particular for option pricing. In this note, we arrive at the European Call price under the Constant Elasticity of Variance (CEV) model driven by a mixed sub-fractional Brownian motion. Empirical tests show the capacity of the proposed model to capture the temporal structure of option prices across different maturities.
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