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This study investigates the dynamics of volatility during market jumps, utilizing advanced statistical tests including the BNS test developed by Ait-Sahalia and Jacod (2008). It explores the significance of jump contributions to the overall volatility measure, especially under conditions where power exceeds 2, magnifying large price increments. The research further incorporates time-of-day effects to assess diffusive variation across different trading periods. The findings provide a comprehensive framework for better understanding market behavior during periods of significant price movements.
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Economics 201FS: Volatility and Jumps Grace Shuting Wei Spring 2011 20 April 2011
Investigating volatility during jumps • Previously • BNS test • Ait-Sahalia and Jacod (2008) • This week • Regression of test statistics from Ait-Sahalia and Jacod • Direction of jumps
Ait-Sahalia and Jacod (2008) • Multipower variation • Test statistic • Intuition: When power is large (p >2), the contribution of jumps to B(p) overwhelms everything else. This is because high powers (p >2) magnify the large increments at the expense of the small ones. • Asymptotic values
Bollerslev, Todorov, and Zheng (2011) • Time-of-Day measures the ratio of the diffusive variation over different parts of the day relative to its average value for the day. • Threshold type test