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Statistical Estimation for CAPM with Long-Memory Dependence
Author(s) -
Tomoyuki Amano,
Tsuyoshi Kato,
Masanobu Taniguchi
Publication year - 2011
Publication title -
advances in decision sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.178
H-Index - 13
eISSN - 2090-3367
pISSN - 2090-3359
DOI - 10.1155/2012/571034
Subject(s) - capital asset pricing model , estimator , econometrics , portfolio , asymptotic distribution , market portfolio , estimation , economics , mathematics , statistics , financial economics , management
We investigate the Capital Asser Pricing Model (CAPM) with time dimension. By using time series analysis, we discuss the estimation of CAPM when market portfolio and the error process are long-memory process and correlated with each other. We give a sufficient condition for the return of assets in the CAPM to be short memory. In this setting, we propose a two-stage least squares estimator for the regression coefficient and derive the asymptotic distribution. Some numerical studies are given. They show an interesting feature of this model

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