Extracting Model-Free Volatility from Option Prices: An Examination of the VIX Index
George J. Jiang
Washington State University
Yisong S. Tian
York University - Schulich School of Business
Januarty 8, 2007
Journal of Derivatives, Vol. 14, No. 3, 2007
The Chicago Board Options Exchange (CBOE) recently redesigned its widely followed VIX volatility index. While the new VIX is conceptually more appealing than its predecessor, the CBOE's implementation of the index is flawed. Using option prices simulated under typical market conditions, we show that the CBOE procedure may underestimate the true volatility by as much as 198 index basis points or overestimate it by as much as 79 index basis points. As each index basis point is worth $10 per VIX futures contract, these errors are economically significant. More importantly, these errors exhibit predictable patterns in relations to volatility levels. We propose a simple solution to fix the problems, based on a smooth interpolation-extrapolation of the implied volatility function. This alternative method is accurate and robust across a wide range of model specifications and market conditions.
Number of Pages in PDF File: 41
Keywords: volatility index, VIX, investor fear gauge, volatility smile, fair value of future variance, model-free implied volatility
JEL Classification: G13, G14working papers series
Date posted: February 8, 2006 ; Last revised: May 1, 2014
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