大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
2期
18-24
,共7页
跳%估计%已实现波动率%幂变差
跳%估計%已實現波動率%冪變差
도%고계%이실현파동솔%멱변차
jump%estimation%realized volatility%power variation
分离估计归因于跳部分和连续部分对资产定价是非常重要的.由于市场信息的流入,前者通常比后者缺少可预测性.到目前为此,小波方法对于发现跳点和估计跳大小是有力的,正如王亚珍[1].但是在一些程度上,在点估计方面不能准确地对跳的位置和大小进行估计.本文中,我们提出了改进方法去估计已实现方差,从而新的估计量被用于在不同的取样策略和检验标准下估计跳平方和,进一步我们做了大量的模拟对有限样本性质进行验证.
分離估計歸因于跳部分和連續部分對資產定價是非常重要的.由于市場信息的流入,前者通常比後者缺少可預測性.到目前為此,小波方法對于髮現跳點和估計跳大小是有力的,正如王亞珍[1].但是在一些程度上,在點估計方麵不能準確地對跳的位置和大小進行估計.本文中,我們提齣瞭改進方法去估計已實現方差,從而新的估計量被用于在不同的取樣策略和檢驗標準下估計跳平方和,進一步我們做瞭大量的模擬對有限樣本性質進行驗證.
분리고계귀인우도부분화련속부분대자산정개시비상중요적.유우시장신식적류입,전자통상비후자결소가예측성.도목전위차,소파방법대우발현도점화고계도대소시유력적,정여왕아진[1].단시재일사정도상,재점고계방면불능준학지대도적위치화대소진행고계.본문중,아문제출료개진방법거고계이실현방차,종이신적고계량피용우재불동적취양책략화검험표준하고계도평방화,진일보아문주료대량적모의대유한양본성질진행험증.
Separating estimation due to jump and continuous parts are very impotent for asset pricing, and the former is usually less predictable than the latter due to the inflow of market news. So far, wavelets methods are powerful for detecting jump locations and jumps as demonstrated in Wang, Y<'[1]>. But to some extent, the jumps are not precisely estimated for locating and detecting in the pointwise predication. In this paper, we propose the adaptive method for estimating the realized variance, thus the new estimators are used to estimate the squared sum of jumps for the various sample strategies and test norms. Furthermore, we perform extensive simulations to examine the finite sample properties.