Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory
In this paper we formulated mean-VaR portfolio optimization through CAPM Koyck transformation. We assumed that lagged of risk premium which have highly influence on stock returns is infinite, while model parameters decrease geometrically. We also assumed that rate of return in risk premium market in...
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Format: | Article |
Language: | English |
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Petra Christian University
2010-01-01
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Series: | Jurnal Teknik Industri |
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Online Access: | http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18064 |
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author | Sukono Sukono Subanar Subanar Dedy Rosadi |
author_facet | Sukono Sukono Subanar Subanar Dedy Rosadi |
author_sort | Sukono Sukono |
collection | DOAJ |
description | In this paper we formulated mean-VaR portfolio optimization through CAPM Koyck transformation. We assumed that lagged of risk premium which have highly influence on stock returns is infinite, while model parameters decrease geometrically. We also assumed that rate of return in risk premium market index is not constant, in other word has a non-constant volatility rate, and also has a long memory effect. The later was analyzed using ARFIMA. Non constant volatility rate was modeled via GARCH model. The portfolio optimization was constructed using Langrangian multiplier and the Kuhn-Tucker theorem was employed to obtain the solution by the least square method. Finally, we provide a numerical example of the optimization model based on several stocks traded in Indonesian capital market. |
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format | Article |
id | doaj.art-5edaad5404bd40da91d6f0b13b43d3a9 |
institution | Directory Open Access Journal |
issn | 1411-2485 |
language | English |
last_indexed | 2024-04-12T17:17:45Z |
publishDate | 2010-01-01 |
publisher | Petra Christian University |
record_format | Article |
series | Jurnal Teknik Industri |
spelling | doaj.art-5edaad5404bd40da91d6f0b13b43d3a92022-12-22T03:23:34ZengPetra Christian UniversityJurnal Teknik Industri1411-24852010-01-011228994Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long MemorySukono SukonoSubanar SubanarDedy RosadiIn this paper we formulated mean-VaR portfolio optimization through CAPM Koyck transformation. We assumed that lagged of risk premium which have highly influence on stock returns is infinite, while model parameters decrease geometrically. We also assumed that rate of return in risk premium market index is not constant, in other word has a non-constant volatility rate, and also has a long memory effect. The later was analyzed using ARFIMA. Non constant volatility rate was modeled via GARCH model. The portfolio optimization was constructed using Langrangian multiplier and the Kuhn-Tucker theorem was employed to obtain the solution by the least square method. Finally, we provide a numerical example of the optimization model based on several stocks traded in Indonesian capital market.http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18064ARFIMAGARCHCAPMKoyckVaRKuhn-Tucker. |
spellingShingle | Sukono Sukono Subanar Subanar Dedy Rosadi Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory Jurnal Teknik Industri ARFIMA GARCH CAPM Koyck VaR Kuhn-Tucker. |
title | Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory |
title_full | Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory |
title_fullStr | Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory |
title_full_unstemmed | Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory |
title_short | Optimisasi Portofolio Mean-VaR di bawah CAPM Transformasi Koyck dengan Volatilitas Tak Konstan dan Efek Long Memory |
title_sort | optimisasi portofolio mean var di bawah capm transformasi koyck dengan volatilitas tak konstan dan efek long memory |
topic | ARFIMA GARCH CAPM Koyck VaR Kuhn-Tucker. |
url | http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/18064 |
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