![](/images/graphics-bg.png)
Statistical Portfolio Estimation under the Utility Function Depending on Exogenous Variables
Joint Authors
Wei Ye, Dong
Taniguchi, Masanobu
Hamada, Kenta
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-11
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Topics
Abstract EN
In the estimation of portfolios, it is natural to assume that the utility function depends on exogenous variable.
From this point of view, in this paper, we develop the estimation under the utility function depending on exogenous variable.
To estimate the optimal portfolio, we introduce a function of moments of the return process and cumulant between the return processes and exogenous variable, where the function means a generalized version of portfolio weight function.
First, assuming that exogenous variable is a random process, we derive the asymptotic distribution of the sample version of portfolio weight function.
Then, an influence of exogenous variable on the return process is illuminated when exogenous variable has a shot noise in the frequency domain.
Second, assuming that exogenous variable is nonstochastic, we derive the asymptotic distribution of the sample version of portfolio weight function.
Then, an influence of exogenous variable on the return process is illuminated when exogenous variable has a harmonic trend.
We also evaluate the influence of exogenous variable on the return process numerically.
American Psychological Association (APA)
Hamada, Kenta& Wei Ye, Dong& Taniguchi, Masanobu. 2012. Statistical Portfolio Estimation under the Utility Function Depending on Exogenous Variables. Advances in Decision Sciences،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-447816
Modern Language Association (MLA)
Hamada, Kenta…[et al.]. Statistical Portfolio Estimation under the Utility Function Depending on Exogenous Variables. Advances in Decision Sciences No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-447816
American Medical Association (AMA)
Hamada, Kenta& Wei Ye, Dong& Taniguchi, Masanobu. Statistical Portfolio Estimation under the Utility Function Depending on Exogenous Variables. Advances in Decision Sciences. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-447816
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447816