Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method

Long-term stock investment development is carried out by means of portfolio optimization. Selection of stocks for portfolios is not only based on high-value stock prices but also takes into account their fluctuations. Estimation of future stock price fluctuations has an indirect impact on future por...

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Autores principales: Fauziyah, Evita Purnaningrum
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Lenguaje:EN
Publicado: Department of Mathematics, UIN Sunan Ampel Surabaya 2021
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Acceso en línea:https://doaj.org/article/ee62478c918f4465ad388d4f1d290ef0
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spelling oai:doaj.org-article:ee62478c918f4465ad388d4f1d290ef02021-12-02T17:43:20ZOptimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method2527-31592527-316710.15642/mantik.2021.7.1.20-30https://doaj.org/article/ee62478c918f4465ad388d4f1d290ef02021-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1059https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167Long-term stock investment development is carried out by means of portfolio optimization. Selection of stocks for portfolios is not only based on high-value stock prices but also takes into account their fluctuations. Estimation of future stock price fluctuations has an indirect impact on future portfolio formation. This research has implemented the Kalman filter method to obtain the best estimation results from various stock prices with a high degree of accuracy. The results are then used to form a stock portfolio on the basis of Goal Programming. This study has compared the optimization results with the real value of stock prices. The results obtained, Kalman filter-based Goal Programming is more effective for predicting future portfolios compared to the Goal Programming method with a return difference of Rp. 178,039,848. This suggests that optimization with the Kalman Filter-based Objective Programming can be used as a tool to determine future stock portfolios.FauziyahEvita PurnaningrumDepartment of Mathematics, UIN Sunan Ampel Surabayaarticlestock priceportfoliogoal programmingkalman filterestimationMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 7, Iss 1, Pp 20-30 (2021)
institution DOAJ
collection DOAJ
language EN
topic stock price
portfolio
goal programming
kalman filter
estimation
Mathematics
QA1-939
spellingShingle stock price
portfolio
goal programming
kalman filter
estimation
Mathematics
QA1-939
Fauziyah
Evita Purnaningrum
Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
description Long-term stock investment development is carried out by means of portfolio optimization. Selection of stocks for portfolios is not only based on high-value stock prices but also takes into account their fluctuations. Estimation of future stock price fluctuations has an indirect impact on future portfolio formation. This research has implemented the Kalman filter method to obtain the best estimation results from various stock prices with a high degree of accuracy. The results are then used to form a stock portfolio on the basis of Goal Programming. This study has compared the optimization results with the real value of stock prices. The results obtained, Kalman filter-based Goal Programming is more effective for predicting future portfolios compared to the Goal Programming method with a return difference of Rp. 178,039,848. This suggests that optimization with the Kalman Filter-based Objective Programming can be used as a tool to determine future stock portfolios.
format article
author Fauziyah
Evita Purnaningrum
author_facet Fauziyah
Evita Purnaningrum
author_sort Fauziyah
title Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
title_short Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
title_full Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
title_fullStr Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
title_full_unstemmed Optimization of Stock Portfolios Using Goal Programming Based on the Kalman-Filter Method
title_sort optimization of stock portfolios using goal programming based on the kalman-filter method
publisher Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate 2021
url https://doaj.org/article/ee62478c918f4465ad388d4f1d290ef0
work_keys_str_mv AT fauziyah optimizationofstockportfoliosusinggoalprogrammingbasedonthekalmanfiltermethod
AT evitapurnaningrum optimizationofstockportfoliosusinggoalprogrammingbasedonthekalmanfiltermethod
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