Volatility and realized quadratic variation of differenced returns
AbstractThis paper analyzes some asymptotic results for a new estimator of integrated volatility in a continuous-time diffusion process of high frequency data (used in asset pricing finance). The estimator, which is computationally efficient, is based on the quadratic variation of the second order log-price differences. This is contrary to the well known realized quadratic variation of intra daily returns (which is based on first order log-price differences). This latter is known as realized volatility. Analytically, the asymptotics of the proposed estimator is compared to the usual realized volatility estimators. Lastly, we provide some simulation experiments to illustrate the results.
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Bibliographic InfoPaper provided by Society for Computational Economics in its series Computing in Economics and Finance 2005 with number 333.
Date of creation: 11 Nov 2005
Date of revision:
continuous-time methods; quadratic variation; realized volatility; second order quadratic variation;
Find related papers by JEL classification:
- C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
- G1 - Financial Economics - - General Financial Markets
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