The role of the variance premium in Jump-GARCH option pricing models

Suk Joon Byun, Byoung Hyun Jeon, Byungsun Min and Sun-Joong Yoon

Journal of Banking & Finance, 2015, vol. 59, issue C, 38-56

Abstract: We develop a discrete-time option pricing model incorporating a variance-dependent pricing kernel of Christoffersen et al. (2013) under an economic framework allowing for dynamic volatility and jump intensity. Based on the model, we examine the role of the variance premium and jump risk premium in explaining S&P 500 index option prices and returns. According to the results, the variance premium is equally important as the jump risk premium in explaining the empirical option data. Whereas the incorporation of the jump risk premium improves the model fit on option prices, the incorporation of the variance premium improves the fit on option returns. In particular, the variance premium can explain both 1-month holding period returns of 2-month maturity straddles, which are significantly negative, and call returns, which decrease according to moneyness. The model incorporating the jump risk premium only has a limitation in explaining the above two stylized returns. The outperformance of the model incorporating the variance premium on option returns stems from its ability to capture the wedge between physical and risk-neutral volatilities.

Keywords: Variance premium; Variance-dependent pricing kernel; Jump risk premium; S&P 500 index options; Jump-GARCH option pricing models (search for similar items in EconPapers)
JEL-codes: C13 C58 G13 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jbfina:v:59:y:2015:i:c:p:38-56

DOI: 10.1016/j.jbankfin.2015.05.009

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