Implied Volatility Surface: Construction Methodologies and Characteristics

38 Pages Posted: 10 Jul 2011

Date Written: July 9, 2011

Abstract

The implied volatility surface (IVS) is a fundamental building block in computational finance. We provide a survey of methodologies for constructing such surfaces. We also discuss various topics which can influence the successful construction of IVS in practice: arbitrage-free conditions in both strike and time, how to perform extrapolation outside the core region, choice of calibrating functional and selection of numerical optimization algorithms, volatility surface dynamics and asymptotics.

Keywords: volatility surface, dynamics of implied volatility, stochastic volatility models, local stochastic volatility models, calibration, numerical methods, optimization, computational efficiency

JEL Classification: C15, C61, C63, G12, G13

Suggested Citation

Homescu, Cristian, Implied Volatility Surface: Construction Methodologies and Characteristics (July 9, 2011). Available at SSRN: https://ssrn.com/abstract=1882567 or http://dx.doi.org/10.2139/ssrn.1882567

Cristian Homescu (Contact Author)

Independent ( email )

No Address Available

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