PARAMETER ESTIMATION FOR A DISCRETELY OBSERVED STOCHASTIC VOLATILITY MODEL WITH JUMPS IN THE VOLATILITY

Citation:

JIANG Wenjiang,J. PEDERSEN.PARAMETER ESTIMATION FOR A DISCRETELY OBSERVED STOCHASTIC VOLATILITY MODEL WITH JUMPS IN THE VOLATILITY[J].Chinese Annals of Mathematics B,2003,24(2):227~238
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Authors:

JIANG Wenjiang; J. PEDERSEN

Foundation:

Project supported by the Yunnan Provincial Natural Science Foundation of China (No.00A0006R).
Abstract: In this paper a stochastic volatility model is considered. That is, a log price process $Y$ which is given in terms of a volatility process $V$ is studied. The latter is defined such that the log price possesses some of the properties empirically observed by Barndorff-Nielsen \& Jiang$^{[6]}$. In the model there are two sets of unknown parameters, one set corresponding to the marginal distribution of $V$ and one to autocorrelation of $V$. Based on discrete time observations of the log price the authors discuss how to estimate the parameters appearing in the marginal distribution and find the asymptotic properties.

Keywords:

Stochastic volatility models, NIG distributions, Central limit theorems, Law of large numbers, Levy processes, Ornstein-Uhlenbeck processes

Classification:

60F15, 60G10, 60J75, 62P05
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