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来源类型Working Paper
规范类型报告
DOI10.3386/t0279
来源IDTechnical Working Paper 0279
Parametric and Nonparametric Volatility Measurement
Torben G. Andersen; Tim Bollerslev; Francis X. Diebold
发表日期2002-08-08
出版年2002
语种英语
摘要Volatility has been one of the most active areas of research in empirical finance and time series econometrics during the past decade. This chapter provides a unified continuous-time, frictionless, no-arbitrage framework for systematically categorizing the various volatility concepts, measurement procedures, and modeling procedures. We define three different volatility concepts: (i) the notional volatility corresponding to the ex-post sample-path return variability over a fixed time interval, (ii) the ex-ante expected volatility over a fixed time interval, and (iii) the instantaneous volatility corresponding to the strength of the volatility process at a point in time. The parametric procedures rely on explicit functional form assumptions regarding the expected and/or instantaneous volatility. In the discrete-time ARCH class of models, the expectations are formulated in terms of directly observable variables, while the discrete- and continuous-time stochastic volatility models involve latent state variable(s). The nonparametric procedures are generally free from such functional form assumptions and hence afford estimates of notional volatility that are flexible yet consistent (as the sampling frequency of the underlying returns increases). The nonparametric procedures include ARCH filters and smoothers designed to measure the volatility over infinitesimally short horizons, as well as the recently-popularized realized volatility measures for (non-trivial) fixed-length time intervals.
主题Econometrics ; Estimation Methods
URLhttps://www.nber.org/papers/t0279
来源智库National Bureau of Economic Research (United States)
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资源类型智库出版物
条目标识符http://119.78.100.153/handle/2XGU8XDN/566709
推荐引用方式
GB/T 7714
Torben G. Andersen,Tim Bollerslev,Francis X. Diebold. Parametric and Nonparametric Volatility Measurement. 2002.
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