Unified discrete-time and continuous-time models and statistical inferences for merged low-frequency and high-frequency financial data | |
Kim, Donggyu1; Wang, Yazhen1,2 | |
刊名 | JOURNAL OF ECONOMETRICS |
2016-10 | |
卷号 | 194期号:2页码:220-230 |
关键词 | GARCH Ito process Quasi-maximum likelihood estimator Realized volatility Stochastic differential equation |
ISSN号 | 0304-4076 |
DOI | 10.1016/j.jeconom.2016.05.003 |
英文摘要 | This paper introduces a unified model, which can accommodate both continuous-time Ito processes used to model high-frequency stock prices and GARCH processes employed to model low-frequency stock prices, by embedding a discrete-time GARCH volatility in its continuous-time instantaneous volatility. This model is called a unified GARCH-Ito model. We adopt realized volatility estimators based on high frequency financial data and the quasi-likelihood function for the low-frequency GARCH structure to develop parameter estimation methods for the combined high-frequency and low-frequency data. We establish asymptotic theory for the proposed estimators and conduct a simulation study to check finite sample performances of the estimators. We apply the proposed estimation approach to Bank of America stock price data. (C) 2016 Elsevier B.V. All rights reserved. |
WOS研究方向 | Business & Economics ; Mathematics ; Mathematical Methods In Social Sciences |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE SA |
WOS记录号 | WOS:000382596500003 |
内容类型 | 期刊论文 |
源URL | [http://10.2.47.112/handle/2XS4QKH4/1202] |
专题 | 上海财经大学 |
通讯作者 | Wang, Yazhen |
作者单位 | 1.Univ Wisconsin, Dept Stat, Madison, WI 53706 USA; 2.Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R China |
推荐引用方式 GB/T 7714 | Kim, Donggyu,Wang, Yazhen. Unified discrete-time and continuous-time models and statistical inferences for merged low-frequency and high-frequency financial data[J]. JOURNAL OF ECONOMETRICS,2016,194(2):220-230. |
APA | Kim, Donggyu,&Wang, Yazhen.(2016).Unified discrete-time and continuous-time models and statistical inferences for merged low-frequency and high-frequency financial data.JOURNAL OF ECONOMETRICS,194(2),220-230. |
MLA | Kim, Donggyu,et al."Unified discrete-time and continuous-time models and statistical inferences for merged low-frequency and high-frequency financial data".JOURNAL OF ECONOMETRICS 194.2(2016):220-230. |
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