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VIX term structure and VIX futures pricing with realized volatility
Author(s) -
Huang Zhuo,
Tong Chen,
Wang Tianyi
Publication year - 2019
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.21955
Subject(s) - futures contract , volatility (finance) , econometrics , economics , stochastic volatility , forward volatility , implied volatility , realized variance , variance swap , volatility smile , volatility swap , term (time) , autoregressive conditional heteroskedasticity , financial economics , physics , quantum mechanics
Using an extended LHARG model proposed by Majewski et al. (2015, J Econ , 187, 521–531), we derive the closed‐form pricing formulas for both the Chicago Board Options Exchange VIX term structure and VIX futures with different maturities. Our empirical results suggest that the quarterly and yearly components of lagged realized volatility should be added into the model to capture the long‐term volatility dynamics. By using the realized volatility based on high‐frequency data, the proposed model provides superior pricing performance compared with the classic Heston–Nandi GARCH model under a variance‐dependent pricing kernel, both in‐sample and out‐of‐sample. The improvement is more pronounced during high volatility periods.