Publication Type
Journal Article
Version
publishedVersion
Publication Date
1-2016
Abstract
Using both S&P 500 option and recently introduced VIX option prices, we study pricing kernels and their dependence on multiple volatility factors. We first propose nonparametric estimates of marginal pricing kernels, conditional on the VIX and the slope of the variance swap term structure. Our estimates highlight the state-dependence nature of the pricing kernels. In particular, conditioning on volatility factors, the pricing kernel of market returns exhibit a downward sloping shape up to the extreme end of the right tail. Moreover, the volatility pricing kernel features a striking U-shape, implying that investors have high marginal utility in both high and low volatility states. This finding on the volatility pricing kernel presents a new empirical challenge to both existing equilibrium and reduced-form asset pricing models of volatility risk. Finally, using a full-fledged parametric model, we recover the joint pricing kernel, which is not otherwise identifiable.
Keywords
multi-factor volatility model, pricing kernel, variance swaps, VIX options
Discipline
Econometrics | Finance
Research Areas
Finance
Areas of Excellence
Growth in Asia
Publication
Journal of Econometrics
Volume
190
Issue
1
First Page
176
Last Page
196
ISSN
0304-4076
Identifier
10.1016/j.jeconom.2015.06.024
Publisher
Elsevier
Citation
SONG, Zhaogang and XIU, Dacheng.
A tale of two option markets: Pricing kernels and volatility risk. (2016). Journal of Econometrics. 190, (1), 176-196.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/7919
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
External URL
https://api.elsevier.com/content/abstract/scopus_id/84947998131
Additional URL
https://doi.org/10.1016/j.jeconom.2015.06.024