Document Type

Article

Publication Date

5-1-2019

Publication Title

Review of Economics and Finance

Publisher

BAP

Volume

16

Issue

2

First page number:

1

Last page number:

14

Abstract

The model-free implied volatility (MFIVol) is intended to measure the variability of underlying asset price on which options are written. Analytically, however, it does not measure exactly the variability under jump diffusion. Our extensive empirical study suggests that the approximation error can be as much as about 3%--5% although most samples over the data period exhibit less than 1% errors. Even with the non-negligible errors, the MFIVol may be still considered a valid volatility measure from the perspective of risk-neutral return density, in the sense that it is bounded by the two variability measures as well as reflecting the shape of the risk-neutral density via its higher central moments.

Keywords

Jump-diffusion model; Model-free implied volatility; Risk-neutral probability density; Volatility index (VIX)

Disciplines

Finance

File Format

pdf

File Size

1.938 KB

Language

English

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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