Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/107789 
Year of Publication: 
2014
Series/Report no.: 
Tinbergen Institute Discussion Paper No. 14-075/III
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
In this paper we document that realized variation measures constructed from high-frequency returns reveal a large degree of volatility risk in stock and index returns, where we characterize volatility risk by the extent to which forecasting errors in realized volatility are substantive. Even though returns standardized by ex post quadratic variation measures are nearly gaussian, this unpredictability brings considerably more uncertainty to the empirically relevant ex ante distribution of returns. Explicitly modeling this volatility risk is fundamental. We propose a dually asymmetric realized volatility model, which incorporates the fact that realized volatility series are systematically more volatile in high volatility periods. Returns in this framework display time varying volatility, skewness and kurtosis. We provide a detailed account of the empirical advantages of the model using data on the S&P 500 index and eight other indexes and stocks.
Subjects: 
Realized volatility
volatility of volatility
volatility risk
value-at-risk
forecasting
conditional heteroskedasticity
JEL: 
C58
G12
Document Type: 
Working Paper

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