Implied Volatility Surface: Construction Methodologies and Characteristics

Details Implied Volatility Surface: Construction Methodologies and Characteristics Implied Volatility Surface: Construction Methodologies and Characteristics

2011-07-10

arxiv.org/abs/1107.1834v1

Economy

Quantitative Finance

Computational Finance

40 pages

Scientific paper

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.

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