PERBANDINGAN INVESTASI PADA MATA UANG DOLAR AMERIKA (USD) DAN YEN JEPANG (JPY) DENGAN MODEL ARIMA DAN GARCH
DOI:
https://doi.org/10.25077/jmu.6.1.1-8.2017Abstract
Abstrak. Nilai tukar mata uang merupakan hal penting yang harus diperhatikan seseorangapabila akan melakukan investasi. Namun pada kenyataannya nilai tukar mata
uang cenderung berubah-ubah dari waktu ke waktu. Naik turunnya nilai tukar mata
uang menunjukkan besarnya volatilitas. Data nilai tukar mata uang dapat dimodelkan
dengan pemodelan deret waktu. Salah satu model yang sering digunakan yaitu model
ARIMA. Untuk memodelkan tingkat volatilitas digunakan model GARCH, kemudian
dilakukan perhitungan untuk menentukan resiko kerugian maksimum dengan metode
Value at Risk. Pada penelitian ini data nilai tukar/kurs yang digunakan adalah kurs
Dolar Amerika (USD) dan Yen Jepang (JPY) terhadap Rupiah. Dari hasil penelitian
diperoleh bahwa model ARIMA terbaik untuk kurs USD yaitu ARIMA (0,1,1) dan
ARIMA terbaik untuk kurs JPY adalah ARIMA (2,1,2). Dengan model ARIMA terbaik
diperoleh nilai peramalan untuk masing-masing kurs, dimana peramalan yang terbesar
untuk data sebenarnya adalah kurs USD. Untuk pemodelan volatilitas dengan model
GARCH dengan menggunakan data return diperoleh model terbaik untuk kurs USD
yaitu GARCH (2,1) dan GARCH (1,1) untuk kurs JPY. Dari model GARCH terbaik
diperoleh ramalan return dan volatilitas yang akan digunakan dalam perhitungan Value
at Risk. Dari pehitungan Value at Risk diperoleh resiko terkecil adalah mata uang USD.
Sehingga investasi terbaik dilakukan pada mata uang Dolar Amerika (USD).
Kata Kunci: Nilai tukar, ARIMA, return, GARCH, volatilitas, Value at Risk
Downloads
Published
Issue
Section
License
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike (CC BY-SA) license. This ensures that the content is freely available to all users and can be shared and adapted, provided appropriate credit is given and any adaptations are distributed under the same license.
Copyright Holder
The copyright of all articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND). This applies to all published versions, including the HTML and PDF formats of the articles.
Author Rights
While the Departemen Matematika dan Sains Data FMIPA UNAND holds the copyright for all published content, authors retain important rights under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA). This license grants authors and users the following rights:
- Reuse: Authors can reuse and distribute their work for any lawful purpose, including sharing on personal websites, institutional repositories, or in subsequent publications.
- Attribution and Adaptation: Authors and others may remix, adapt, and build upon the published work for any purpose, even commercially, as long as proper credit is given to the original authors, and any derivative works are distributed under the same CC BY-SA license.
Creative Commons License (CC BY-SA)
Under the terms of the CC BY-SA license, users are free to:
- Share: Copy and redistribute the material in any medium or format.
- Adapt: Remix, transform, and build upon the material for any purpose, even commercially.
However, the following conditions apply:
- Attribution: Users must give appropriate credit to the original author(s) and Departemen Matematika dan Sains Data FMIPA UNAND, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author or the journal.
- ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same license as the original.
For more information about the CC BY-SA license, please visit the Creative Commons website.
Third-Party Content
If authors include third-party material (such as figures, tables, or images) that is not covered by a Creative Commons license, they must obtain the necessary permissions for reuse and provide proper attribution. Authors are required to ensure that any third-party content complies with open-access licensing requirements or includes permissions for redistribution under similar terms.
Copyright and Licensing Information Display
The copyright and licensing terms will be clearly displayed on each article's landing page, as well as within the full-text versions (HTML and PDF) of all published articles.
No "All Rights Reserved"
As an open-access journal, JMUA does not use "All Rights Reserved" policies. Instead, the CC BY-SA license ensures that the works remain accessible and reusable for a wide audience while still protecting both the authors' and the copyright holder's rights.
Â









