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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Main Authors: Sukono Sukono, Subanar Subanar, Dedy Rosadi
Format: Article
Language:English
Published: Petra Christian University 2010-01-01
Series:Jurnal Teknik Industri
Subjects:
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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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
work_keys_str_mv AT sukonosukono optimisasiportofoliomeanvardibawahcapmtransformasikoyckdenganvolatilitastakkonstandanefeklongmemory
AT subanarsubanar optimisasiportofoliomeanvardibawahcapmtransformasikoyckdenganvolatilitastakkonstandanefeklongmemory
AT dedyrosadi optimisasiportofoliomeanvardibawahcapmtransformasikoyckdenganvolatilitastakkonstandanefeklongmemory