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:: Volume 8, Issue 4 (Vol. 8,No. 4, 2022) ::
2022, 8(4): 180-197 Back to browse issues page
بهینه‌سازی چند دوره‌ای سبد سرمایه بر اساس اندازه ریسک احتمالی و مدل ( AR(1)-GARCH(1,1
Safieh Mahmoodi1, Rezvan Kamali2, Mohammad-Taghi Jahandideh2
1- Isfahan University of Tech , mahmoodi@iut.ac.ir
2- Isfahan University of Tech
Abstract:   (139 Views)
In this paper, we solve the multi-period portfolio optimization problem under new assumptions. Recently, the authors examined some distributions instead of Gaussian to fit returns to improve the optimization problem and indicated, by Kolmogorov-Smirnov test, that the Kernel density estimator is the best one. In the present paper, we consider the most appropriate distribution of each asset in each period to fit return. Moreover, in order to optimize the solutions, we use piecewise linear interpolation of the empirical distribution. Furthermore, we show that how one may plan for future investments using historical data and AR(1)-GARCH(1,1) model under new assumptions.
Keywords: Multi-period Portfolio Optimization‎, ‎Probabilistic Risk Measure‎, ‎Kernel Distribution Estimator‎, Piecewise ‎Linear Interpolation‎, AR(1)-GARCH(1, 1) Model.
Full-Text [PDF 1799 kb]   (45 Downloads)    
Type of Study: Research Paper | Subject: Anal
Received: 2020/10/16 | Revised: 2023/01/21 | Accepted: 2021/05/2 | Published: 2022/12/31 | ePublished: 2022/12/31
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Mahmoodi S, Kamali R, Jahandideh M. بهینه‌سازی چند دوره‌ای سبد سرمایه بر اساس اندازه ریسک احتمالی و مدل ( AR(1)-GARCH(1,1. Journal title 2022; 8 (4) :180-197
URL: http://mmr.khu.ac.ir/article-1-3141-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 8, Issue 4 (Vol. 8,No. 4, 2022) Back to browse issues page
پژوهش‌های ریاضی Mathematical Researches
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