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Pricing the CBOE VIX Futures with the Heston–Nandi GARCH Model
Author(s) -
Wang Tianyi,
Shen Yiwen,
Jiang Yueting,
Huang Zhuo
Publication year - 2017
Publication title -
journal of futures markets
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.88
H-Index - 55
eISSN - 1096-9934
pISSN - 0270-7314
DOI - 10.1002/fut.21820
Subject(s) - futures contract , economics , autoregressive conditional heteroskedasticity , econometrics , valuation of options , volatility (finance) , stochastic volatility , financial economics
We propose a closed‐form pricing formula for the Chicago Board Options Exchange Volatility Index (CBOE VIX) futures based on the classic discrete‐time Heston–Nandi GARCH model. The parameters are estimated using several sets of data, including the S&P 500 returns, the CBOE VIX, VIX futures prices and combinations of these data sources. Based on the resulting empirical pricing performances, we recommend the use of both VIX and VIX futures prices for a joint estimation of model parameters. Such estimation method can effectively capture the variations of the market VIX and the VIX futures prices simultaneously for both in‐sample and out‐of‐sample analysis. © 2016 Wiley Periodicals, Inc. Jrl Fut Mark 37:641–659, 2017