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Optimisasi Robust Melalui Second Order Cone Programming dengan Aplikasi pada Penentuan Portofolio Optimal Supandi, Epha Diana; Rosadi, Dedi; Abdurakhman, Abdurakhman
Jurnal Matematika dan Sains Vol 19 No 3 (2014)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Pada makalah ini, kami meneliti mengenai optimisasi robust (robust optimization), metode ini berguna untuk menangani  masalah optimisasi dimana data permasalahan tidak diketahui dengan pasti tetapi diasumsikan berada dalam suatu himpunan ketidakpastian (uncertainty set). Selanjutnya Second Order Cone Programming (SOCP) digunakan untuk menyelesaikan masalah  optimisasi robust.  SOCP adalah masalah pemrograman konveks dimana fungsi tujuannya berbentuk linear dengan kendala second order cone. Penerapan SOCP pada pembentukan masalah portofolio mean variance berhasil dilakukan. Berdasarkan studi kasus, portofolio robust melalui SOCP lebih unggul dibandingkan portofolio klasik ditinjau dari capital gain. Kata Kunci : Optimisasi robust, Second order cone programming, Portofolio mean-variance.   Robust Optimization Through Second Order Cone Programming with Applications on the Establishment of Optimal Portfolio   Abstract In this paper, we studied about robust optimization, this method is useful for dealing with optimization problems where data are not known certainly but assumed belong to uncertainty set. Furthermore, Second Order Cone Programming (SOCP) is used to solve the robust optimization problems.  SOCP is a convex programming problem where the objective function in the form of linear with constraints in the form of second order cone. Application of SOCP in the formation of mean variance portfolio problem successfully conducted. Based on case studies,  robust portfolios through SOCP are superior compared to classical portfolios in terms of capital gain. Keywords: Robust optimization, Second order cone programming, Mean variance portfolio.
SELECTION OF INPUT VARIABLES OF NONLINEAR AUTOREGRESSIVE NEURAL NETWORK MODEL FOR TIME SERIES DATA FORECASTING Hermansah, Hermansah; Rosadi, Dedi; Abdurakhman, Abdurakhman; Utami, Herni
MEDIA STATISTIKA Vol 13, No 2 (2020): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.13.2.116-124

Abstract

NARNN is a type of ANN model consisting of a limited number of parameters and widely used for various applications. This study aims to determine the appropriate NARNN model, for the selection of input variables of nonlinear autoregressive neural network model for time series data forecasting, using the stepwise method. Furthermore, the study determines the optimal number of neurons in the hidden layer, using a trial and error method for some architecture. The NARNN model is combined in three parts, namely the learning method, the activation function, and the ensemble operator, to get the best single model. Its application in this study was conducted on real data, such as the interest rate of Bank Indonesia. The comparison results of MASE, RMSE, and MAPE values with ARIMA and Exponential Smoothing models shows that the NARNN is the best model used to effectively improve forecasting accuracy.
PEMILIHAN PORTFOLIO ROBUST DENGAN KLROBUST PORTFOLIO SELECTION WITH CLUSTERING BASED ON BUSINESS SECTOR OF STOCKS ASTERING BERDASARKAN SEKTOR USAHA SAHAM Gubu, La; Rosadi, Dedi; Abdurakhman, Abdurakhman
MEDIA STATISTIKA Vol 14, No 1 (2021): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.14.1.33-43

Abstract

In recent years there have been numerous studies on portfolio selection using cluster analysis in conjunction with Markowitz model which used mean vectors and covariance matrix that are estimated from a highly volatile data. This study presents a more robust way of portfolio selection where stocks are grouped into clusters based on business sector of stocks. A representative from each cluster is selected from each cluster using Sharpe ratio to construct a portfolio and then optimized using robust FCMD and S-estimation. Calculation Sharpe ratio showed that this method works efficiently on large number of data while also robust against outlier in comparison to k-mean clustering. Implementation of this method on stocks listed on the Indonesia Stock Exchange, which included in the LQ-45 indexed for the period of August 2017 to July 2018 showed that portfolio performance obtained using clustering base on business sector of stocks combine with robust FMCD estimation is outperformed the other possible combination of the methods.
VARIANCE GAMMA PROCESS WITH MONTE CARLO SIMULATION AND CLOSED FORM APPROACH FOR EUROPEAN CALL OPTION PRICE DETERMINATION Hoyyi, Abdul; Abdurakhman, Abdurakhman; Rosadi, Dedi
MEDIA STATISTIKA Vol 14, No 2 (2021): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.14.2.183-193

Abstract

The Option is widely applied in the financial sector.  The Black-Scholes-Merton model is often used in calculating option prices on a stock price movement. The model uses geometric Brownian motion which assumes that the data is normally distributed. However, in reality, stock price movements can cause sharp spikes in data, resulting in nonnormal data distribution. So we need a stock price model that is not normally distributed. One of the fastest growing stock price models today is the  process exponential model. The  process has the ability to model data that has excess kurtosis and a longer tail (heavy tail) compared to the normal distribution. One of the members of the  process is the Variance Gamma (VG) process. The VG process has three parameters which each of them, to control volatility, kurtosis and skewness. In this research, the secondary data samples of options and stocks of two companies were used, namely zoom video communications, Inc. (ZM) and Nokia Corporation (NOK).  The price of call options is determined by using closed form equations and Monte Carlo simulation. The Simulation was carried out for various  values until convergent result was obtained.
Pendekatan Sem Berbasis Komponen Menggunakan Generalised Structured Component Analysis (GSCA) Indi Febriana Suhriani; Abdurakhman Abdurakhman
Jurnal Sains Matematika dan Statistika Vol 5, No 2 (2019): JSMS Juli 2019
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v5i2.7629

Abstract

Structural Equation Modeling(SEM) merupakan teknik pengembangan statistik yang menggabungkan antara analisis faktor, analisis jalur dan analisis regresi yang bertujuan untuk mengukur hubungan antara peubah laten dan indikatornya. SEMPartial Least Square (PLS) dan Generalized Structured Component Analysis (GSCA) adalah SEM yang berbasis varian atau sering disebut juga berbasis komponen merupakan metode analisis yang power full. Banyak asumsi SEM berbasis komponen bertujuan untuk mengembangkan teori atau membangun teori (orientasi prediksi), evaluasi GSCA dapat dilakukan dalam tiga tahap model pengukuran. Model struktural dan model keseluruhan. Tujuan penelitian ini adalah Menentukan prosedur model GSCA, Menentukan estimasi parameter dan mengimplementasikan menggunakan data tentang prestasi mahasiswa ditinjau dari karakteristik lingkungan kampus. Hasil dari penelitian ini adalah semua variabel indikator merupakan alat ukur yang valid dan reliabel untuk mengukur variabel latennya. Koefisien jalur dari sikap terhadap dosen dan motivasi sebesar 0.465 sehingga dapat disimpulkan bahwa, kualitas sikap terhadap dosen berpengaruh positif terhadap motivasi atau semakin tinggi sikap terhadap dosen maka motivasi mahasiswa juga semakin baik. Nilai FIT dan AFIT diatas 0.485 yang menunjukkan bahwa model mampu menjelaskan sekitar 48.5% variasi dari data. Nilai FIT terkoreksi (AFIT) yang diperoleh juga menunjukkan hasil yang tidak jauh berbeda yaitu 0.474 yang menunjukkan bahwa model mampu menjelaskan sekitar 47.4%.
Pembentukan Portofolio Saham Menggunakan Klastering Time Series K-Medoid dengan Ukuran Jarak Dynamic Time Warping La Gubu; Dedi Rosadi; Abdurakhman Abdurakhman
Jurnal Aplikasi Statistika & Komputasi Statistik Vol 13 No 2 (2021): Jurnal Aplikasi Statistika dan Komputasi Statistik
Publisher : Pusat Penelitian dan Pengabdian kepada Masyarakat Politeknik Statistika STIS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34123/jurnalasks.v13i2.295

Abstract

Pada penelitian ini akan disajikan pembentukan portofolio saham dengan preprocessing data menggunakan klastering time series dengan ukuran jarak Dynamic Time Warping (DTW). Pertama-tama saham-saham dikelompokkan ke dalam beberapa klaster menggunakan klastering time series Partitioning Around Medoids (PAM) berdasarkan ukuran jarak DTW. Setelah proses klastering, saham dipilih untuk mewakili masing-masing klaster untuk membangun portofolio optimum. Saham yang dipilih dari masing-masing klaster merupakan saham yang memiliki Sharpe ratio tertinggi. Portofolio optimal ditentukan dengan menggunakan tiga model portofolio, yaitu: model portofolio MV klasik, model portofolio MV robust FMCD dan model portofolio robust S. Dengan menggunakan prosedur ini, dapat diperoleh portofolio optimum secara efisien bila ada banyak saham yang terlibat dalam proses pembentukan portofolio. Untuk mengukur kinerja portofolio yang terbentuk digunakan Sharpe ratio. Hasil kajian empiris menunjukkan bahwa kinerja portofolio yang dihasilkan dengan menggunakan klastering time series PAM dengan ukuran disimilaritas jarak DWT yang dikombinasikan dengan model portofolio MV klasik mengungguli kinerja portofolio yang dihasilkan kombinasi dengan model yang lain.
CREDIT SPREADS PADA REDUCED-FORM MODEL Di Asih I Maruddani; Dedi Rosadi; Gunardi Gunardi; Abdurakhman Abdurakhman
MEDIA STATISTIKA Vol 4, No 1 (2011): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (319.946 KB) | DOI: 10.14710/medstat.4.1.57-63

Abstract

There are two primary types of models in the literature that attempt to describe default processes for debt obligations and other defaultable financial instruments, usually referred to as structural and reduced-form (or intensity) models. Structural models use the evolution of firms’ structural variables, such as asset and debt values, to determine the time of default. Reduced form models do not consider the relation between default and firm value in an explicit manner. Reduced form models assume that the modeler has the same information set as the market - incomplete knowledge of the firm’s condition. that leads to an inaccessible default time. The key distinction between structural and reduced form models is not whether the default time is predictable or inaccessible, but whether the information set is observed by the market or not. Consequently, for pricing and hedging, reduced form models are the preferred methodology. Credit spreads are used to measure credit premium, which compensates risk-averse investors for assuming credit risk. Therefore, the credit spreads should remain positive. The higher credit risk assumed by the investors, the higher credit premium got be payed by them. In this paper, we have to to determine the credit spreads of reduced-form model.   Keywords: Reduced-Form Model, Hazard Rate, Credit Spreads  
The 1977 Election and Consolidation of the New Order Government in West Sumatra Israr, Israr; Zuhdi, Susanto; Abdurakhman, Abdurakhman
Paramita: Historical Studies Journal Vol 32, No 2 (2022): Social, Political, and Economic History
Publisher : History Department, Semarang State University and Historian Society of Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/paramita.v32i2.29705

Abstract

This study aims to reveal the process and results of the 1977 Election in West Sumatra. Unlike at the national level taking place under intense competition, the second election during the New Order regime in West Sumatra seemed relatively “quiet.” Golkar comes out as the superior champion. The vote acquisition surpassed the Golkar votes nationally and passed the “Beringin” achievement in the 1971 Election. This study uses a structural history approach. The results show its specific dynamics in West Sumatra, which differed from the national elections. This study uses the historical method of heuristics, criticism, interpretation, and historiography. In the heuristic stage, data were obtained through library research, documentation and archives, field observations, and interviews with selected resource persons based on source criticism. The study results reveal that the 1977 Election in West Sumatra not only resulted in an increase in Golkar’s votes and the defeat of the “opposition party,” especially the PPP, but also signaled the continued consolidation of the New Order regime in Minangkabau. Penelitian ini bertujuan untuk mengungkap proses dan hasil Pemilu 1977 di Sumatera Barat. Berbeda dengan di tingkat nasional yang berlangsung dalam persaingan yang ketat, pemilu kedua pada masa Orde Baru di Sumatera Barat tampak relatif “tenang”. Golkar keluar sebagai juara unggul. Perolehan suara tersebut melampaui perolehan suara Golkar secara nasional dan melewati prestasi “Beringin” pada Pemilu 1971. Penelitian ini menggunakan pendekatan sejarah struktural. Hasil penelitian menunjukkan dinamika spesifik di Sumatera Barat yang berbeda dengan pemilu nasional. Penelitian ini menggunakan metode historis heuristik, kritik, interpretasi, dan historiografi. Pada tahap heuristik, data diperoleh melalui studi pustaka, dokumentasi dan arsip, observasi lapangan, dan wawancara dengan nara sumber terpilih berdasarkan kritik sumber. Hasil kajian mengungkapkan bahwa Pemilu 1977 di Sumatera Barat tidak hanya menghasilkan peningkatan perolehan suara Golkar dan kekalahan “partai oposisi” khususnya PPP, tetapi juga menandakan berlanjutnya konsolidasi rezim Orde Baru di Minangkabau. Cite this article: Israr, Zuhdi, S., Abdurakhman. (2022). The 1977 Election and Consolidation of the New Order Government in West Sumatra. Paramita: Historical Studies Journal, 32(2), 212-220. http://dx.doi.org/10.15294/paramita.v32i2.29705 
Telusur Eksistensi Nasakom dan Aktivitas Lekra masa Demokrasi Terpimpin 1959-1965 Nasirin, Anas Anwar; Abdurakhman, Abdurakhman
Historia: Jurnal Pendidik dan Peneliti Sejarah Vol 7, No 1 (2024): Kritik Sosial dalam Sejarah dan Pembelajaran Sejarah
Publisher : Prodi. Pendidikan Sejarah FPIPS UPI dan APPS (Asosiasi peneliti dan Pendidik Sejarah)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/historia.v7i1.67593

Abstract

Pengkajian sejarah dalam dinamika politik bersamaan dengan ideologi yang menjadi alat pemerintah dalam aktivitas kenegaraan menyajikan konsep Nasakom. Nasakom berdasarkan teori Ricocer membuktikan sebagai ideologi negara Masa Demokrasi Terpimpin (1959-1965) yang tersalur dalam konsep distrosi, legitimasi dan integrasi. Tahun 1926 soekarno mencetuskan azas kenegaraan yang meliputi Nasionalisme, Islamisme-Keislaman, dan Marxisme. Pada masa Demokrasi Terpimpin azas negara itu menjadi ideologi negara dengan nama Nasakom (Nasionalis Agamis dan Komunis). Penelusuran terhadap aktivitas Lekra yang merupakan organisasi dibawah Partai Komunis Indonesia yang eksistensinya sangat popular masa Demokrasi Terpimpin. Demokrasi Terpimpin berlaku setelah ditetapkannya Dekrit Persiden pada 5 Juli 1959. Penelitian ini menggunakan metode historis yang meliputi proses Heuristik, Verifikasi, Interpretasi dan Historiografi. Hasil penelitian menunjukan bahwa eksistensi Nasakom sebagai ideologi negara pada masa demokrasi terpimpin menjadi misi Soekarno dalam mencipta persatuan antara kelompok pergerakan Nasionalis, Islamis dan Komunis. Persatuan ketiganya telah mencipta Soekarno selama Demokrasi Terpimpin mampu mempertahankan kekuasaannya, terbebas dari kudeta, dan menjadi pemimpin yang memiliki kendali penuh dalam aktivitas politik dan kenegaraan. Aktivitas Lekra sebagai lembaga kebudayaan telah menjadi saluran aspirasi politik komunis diabawah komando Partai Komunis Indonesia. aktivitas itu memicu terjadinya manipesto kebudayaan yang menghadirkan lembaga-lembaga kebudayaan serupa seperti, Lembaga Kebudayaan Nasional dibawah naungan Partai Nasional Indonesia dan Lembaga Seniman Budayawan Muslimin Indonesia (Lesbumi) milik Nahdatul Ulama yang diantaranya menjadi pesaing Lekra.
DEWAN DJAMBI SEMENTARA: MENEGOSIASIKAN ULANG KESULTANAN JAMBI MASA REVOLUSI INDONESIA 1945-1949 Kurohman, M Taofik; Tangkilisan, Yuda B; Abdurakhman, Abdurakhman
Handep: Jurnal Sejarah dan Budaya Volume 7, No. 1, Desember 2023
Publisher : Balai Pelestarian Nilai Budaya Kalimantan Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33652/handep.v7i1.485

Abstract

The independence revolution in Jambi was distinct from the spirit of social revolution in other regions. A sense of disappointment among Jambi's traditional elites towards the new Republican elites from outside Jambi caused local political conflict in Jambi. Accordingly, the narrative of the restoration of the Jambi Sultanate, which had been destroyed during the Jambi War of 1900-1907, emerged. Political efforts were made between the Jambi Government and the Government of the Republic of Indonesia or the Netherlands to solve political problems in Jambi. Using historical methods that focus on the process and time, the study shows that the Dewan Djambi Sementara was a council to make Jambi a particular region in the federal system, which the Dutch established at that time. The primary demand of the Dewan Djambi Sementara was to make Jambi an autonomous region by restoring the Jambi Sultanate and separating it from the Central Sumatra Province formed by the Government of the Republic of Indonesia. However, the demands of the Dewan Djambi Sementara were not accomplished because the Dutch hesitantly supported forming a region with a feudal system. In addition, political developments between the Republic of Indonesia and the Dutch, described in the Roem-Royen agreement, hindered the process. The demands for the sultanate restoration and the granting of autonomous rights vanished along with the administrative transfer from the Netherlands to the Republic of Indonesia due to the Round Table Conference in The Hague. Despite this setback, the spirit of Jambi regionalism that demanded regional autonomy was continued in youth and regional organizations during the Republic of Indonesia era. The endeavors of these organizations eventually made an autonomous region at the provincial level in 1957