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Review of Financial Studies Vol. 23 No. 8 2010

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

Peter Christoffersen; Kris Jacobs; Karim Mimouni

Abstract

[Most recent empirical option valuation studies build on the affine square root (SQR) stochastic volatility model. The SQR model is a convenient choice, because it yields closed-form solutions for option prices. We investigate alternatives to the SQR model, by comparing its empirical performance with that of five different but equally parsimonious stochastic volatility models. We provide empirical evidence from three different sources: realized volatilities, S& P500 returns, and an extensive panel of option data. The three sources of data all point to the same conclusion: the best volatility specification is one with linear rather than square root diffusion for variance. This model captures the stylized facts in realized volatilities, it performs well in fitting various samples of index returns, and it has the lowest option implied volatility mean squared error in and out of sample.]

Volume
23
Issue
8
Pages
3141-3189
Sources
bibtex:phds-export.bib

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