Volatility Dynamics for the S&P500: Evidence from Realized Volatility, Daily Returns and Option Prices

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Regime-switching stochastic volatility model: estimation and calibration to VIX options (2017, methodology): “[15] investigated alternatives to the affine square root stochastic volatility model, by comparing its empirical performance with different but equally parsimonious stochastic volatility models.”
Volatility dynamics for the S&P 500: Further evidence from non-affine, multi-factor jump diffusions (2012, methodology): “The out-of-sample root mean square error of affine specifications is approximately 20% higher than for non-affine models; this provides even stronger evidence in favor of non-affine specifications than the findings reported in Christoffersen et al. (2010).”
Estimating the Parameters of Stochastic Volatility Models Using Option Price Data (2015, methodology): “Larger numbers of options are used by Bates (2000), Broadie, Chernov, and Johannes (2007), Christoffersen, Jacobs, and Mimouni (2010), and Andersen, Fusari, and Todorov (2012).”