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Option Pricing with Threshold Mean Reversion
Author(s) -
Chi Zeyu,
Dong Fangyuan,
Wong Hoi Ying
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.21795
Subject(s) - mean reversion , economics , volatility (finance) , econometrics , reversion , spot contract , commodity , financial economics , valuation of options , finance , biochemistry , chemistry , gene , phenotype , futures contract
Mean reversion and regime switching are well‐known features of commodity prices. Recent empirical research additionally documents the time variation of the mean reversion rate and volatility. This paper considers the option pricing framework for an underlying commodity price with mean reversion rate and volatility change according to a self‐exciting regime switching model. We offer empirical evidence for the proposed model and derive analytic pricing formulas for the European and barrier options. Numerical examples demonstrate the application and the ability of the proposed model in capturing volatility smile and regime‐switching in the mean reversion rate, simultaneously. © 2016 Wiley Periodicals, Inc. Jrl Fut Mark 37:107–131, 2017