Estimation of Integrated Volatility in Stochastic Volatility Models

Jeannette H.C. Woerner

OFRC Working Papers Series from Oxford Financial Research Centre

Abstract: In the framework of stochastic volatility models we examine estimators for the integrated volatility based on the p-th power variation,i.e. the sum of p-th absolute powers of the log-returns. We derive consistency and distributional results for the estimators given high frequency data, especially taking into account what kind of process we may add to our model without affecting the estimate of the integrated volatility. This may on the one hand be interpreted as a possible flexibility in modelling, e.g. adding jumps or even leaving the framework of semimartingales by adding a fractional Brownian motion, or on the other hand as robustness against model misspecification. We will discuss possible choices of p under different model assumptions and irregularly spaced data.

Date: 2003
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-rmg
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