Variance targeting estimator for GJR-GARCH under model’s misspecification

The application of the Variance Targeting Estimator (VTE) is considered in GJR-GARCH(1,1) model, under three misspecification scenarios, which are, model misspecification, initial parameters misspecification and innovation distribution assumption misspecification. A simulation study has been perform...

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Main Authors: Muhammad Asmu’i Abdul Rahim, Siti Meriam Zahari, S. Sarifah Radiah Shariff
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2018
Online Access:http://journalarticle.ukm.my/12414/
http://journalarticle.ukm.my/12414/
http://journalarticle.ukm.my/12414/1/30%20Muhammad%20Asmu_i.pdf
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spelling ukm-124142018-12-07T23:45:33Z http://journalarticle.ukm.my/12414/ Variance targeting estimator for GJR-GARCH under model’s misspecification Muhammad Asmu’i Abdul Rahim, Siti Meriam Zahari, S. Sarifah Radiah Shariff, The application of the Variance Targeting Estimator (VTE) is considered in GJR-GARCH(1,1) model, under three misspecification scenarios, which are, model misspecification, initial parameters misspecification and innovation distribution assumption misspecification. A simulation study has been performed to evaluate the performance of VTE compared to commonly used, which is the Quasi Maximum Likelihood Estimator (QMLE). The data has been simulated under GJR-GARCH(1,1) process with initial parameters ω = 0.1, α = 0.05, β = 0.85, γ = 0.1 and an innovation with a true normal distribution. Three misspecification innovation assumptions, which are normal distribution, Student-t distribution and the GED distribution have been used. Meanwhile, for the misspecified initial parameters, the first initial parameters have been setup as ω = 1, α = 0, β = 0 and γ = 0. Furthermore, the application of VTE as an estimator has also been evaluated under real data sets and three selected indices, which are the FTSE Bursa Malaysia Kuala Lumpur Index (FBMKLCI), the Singapore Straits Time Index (STI) and the Jakarta Composite Index (JCI). Based on the results, VTE has performed very well compared to QMLE under both simulation and the applications of real data sets, which can be considered as an alternative estimator when performing GARCH model, especially the GJR-GARCH. Penerbit Universiti Kebangsaan Malaysia 2018-09 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/12414/1/30%20Muhammad%20Asmu_i.pdf Muhammad Asmu’i Abdul Rahim, and Siti Meriam Zahari, and S. Sarifah Radiah Shariff, (2018) Variance targeting estimator for GJR-GARCH under model’s misspecification. Sains Malaysiana, 47 (9). pp. 2195-2204. ISSN 0126-6039 http://www.ukm.my/jsm/malay_journals/jilid47bil9_2018/KandunganJilid47Bil9_2018.htm
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institution Universiti Kebangasaan Malaysia
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collection Online Access
language English
description The application of the Variance Targeting Estimator (VTE) is considered in GJR-GARCH(1,1) model, under three misspecification scenarios, which are, model misspecification, initial parameters misspecification and innovation distribution assumption misspecification. A simulation study has been performed to evaluate the performance of VTE compared to commonly used, which is the Quasi Maximum Likelihood Estimator (QMLE). The data has been simulated under GJR-GARCH(1,1) process with initial parameters ω = 0.1, α = 0.05, β = 0.85, γ = 0.1 and an innovation with a true normal distribution. Three misspecification innovation assumptions, which are normal distribution, Student-t distribution and the GED distribution have been used. Meanwhile, for the misspecified initial parameters, the first initial parameters have been setup as ω = 1, α = 0, β = 0 and γ = 0. Furthermore, the application of VTE as an estimator has also been evaluated under real data sets and three selected indices, which are the FTSE Bursa Malaysia Kuala Lumpur Index (FBMKLCI), the Singapore Straits Time Index (STI) and the Jakarta Composite Index (JCI). Based on the results, VTE has performed very well compared to QMLE under both simulation and the applications of real data sets, which can be considered as an alternative estimator when performing GARCH model, especially the GJR-GARCH.
format Article
author Muhammad Asmu’i Abdul Rahim,
Siti Meriam Zahari,
S. Sarifah Radiah Shariff,
spellingShingle Muhammad Asmu’i Abdul Rahim,
Siti Meriam Zahari,
S. Sarifah Radiah Shariff,
Variance targeting estimator for GJR-GARCH under model’s misspecification
author_facet Muhammad Asmu’i Abdul Rahim,
Siti Meriam Zahari,
S. Sarifah Radiah Shariff,
author_sort Muhammad Asmu’i Abdul Rahim,
title Variance targeting estimator for GJR-GARCH under model’s misspecification
title_short Variance targeting estimator for GJR-GARCH under model’s misspecification
title_full Variance targeting estimator for GJR-GARCH under model’s misspecification
title_fullStr Variance targeting estimator for GJR-GARCH under model’s misspecification
title_full_unstemmed Variance targeting estimator for GJR-GARCH under model’s misspecification
title_sort variance targeting estimator for gjr-garch under model’s misspecification
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2018
url http://journalarticle.ukm.my/12414/
http://journalarticle.ukm.my/12414/
http://journalarticle.ukm.my/12414/1/30%20Muhammad%20Asmu_i.pdf
first_indexed 2023-09-18T20:02:33Z
last_indexed 2023-09-18T20:02:33Z
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