2016Journal of Inverse and Ill-Posed ProblemsRequires access

Reconstruction of local volatility for the binary option model

Yasushi Ota, Shunsuke Kaji

Open publisher page 14 citations

Abstract

Abstract The aim of this paper is to reconstruct local volatility from market prices of binary options. In the case of the space-dependent volatility, we obtain the stable linearization and the available integral equation to identify local volatility from observable data of binary options. We achieve the reconstruction of local volatility by numerical simulation.

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What this paper is about

Abstract The aim of this paper is to reconstruct local volatility from market prices of binary options. In the case of the space-dependent volatility, we obtain the stable linearization and the available integral equation to identify local volatility from observable data of binary options. We achieve the reconstruction of local volatility by numerical simulation.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract The aim of this paper is to reconstruct local volatility from market prices of binary options. In the case of the space-dependent volatility, we obtain the stable linearization and the available integral equation to identify local volatility from observable data of binary options. We achieve the reconstruction of local volatility by numerical simulation.

Key concepts: Local volatility, Volatility (finance), Binary number, Econometrics, Linearization, Implied volatility, SABR volatility model, Volatility swap

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