Algorithm for Determining the Volatility Function in the Black–Scholes Model


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详细

An algorithm for reconstructing the volatility function in the modified Black–Scholes model is developed. Results of numerical computations are presented. It is shown that adding information about the prices of similar options with different issue dates makes it possible to improve the accuracy and increase the interval in which the volatility function can be reconstructed.

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V. Isakov

Department of Mathematics and Statistics, Wichita State University

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Email: victor.isakov@wichita.edu
美国, Wichita, Kansas, 67260-0033

S. Kabanikhin

Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk State University

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Email: kabanikhin@sscc.ru
俄罗斯联邦, Novosibirsk, 630090

A. Shananin

Moscow Institute of Physics and Technology

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Email: alexshan@yandex.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

M. Shishlenin

Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk State University

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Email: mshishlenin@ngs.ru
俄罗斯联邦, Novosibirsk, 630090

S. Zhang

Tianjin University of Finance and Economics

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Email: shuhua55@126.com
中国, Beijing

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