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PERUBAHAN ASUMSI AKTUARIA PADA ESTIMASI PREMI PROGRAM PENSIUN MANFAAT PASTI Riaman Riaman
Euclid Vol 5, No 2 (2018): EDISI JULI
Publisher : Universitas Swadaya Gunung Jati.

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (640.333 KB) | DOI: 10.33603/e.v5i2.1151

Abstract

Penelitian ini membahas mengenai program pendanaan pensiun pada program pensiun manfaat pasti. Pembayaran iuran normal (premi) dari program pensiun manfaat pasti ditentukan dengan anuitas hidup sebagai instrumen asuransi jiwa dalam menghadapi resiko kehidupan. Dalam perhitungannya, anuitas hidup menggunakan asumsi-asumsi aktuaria dimana apabila keadaan sebenarnya tidak sesuai dengan asumsi yang digunakan, maka yang akan terjadi adalah pembayaran berlebihan atau pembayaran berkekurangan.Asumsi tingkat bunga adalah salah satu dari asumsi aktuaria tersebut. Perubahan asumsi aktuaria pada tingkat bunga memiliki pengaruh dalam proses perhitungan iuran serta kewajiban aktuaria program pensiun manfaat pasti. Dengan menggunakan asumsi tingkat bunga yang berbeda diperoleh hubungan bahwa tingkat bunga berbanding terbalik dengan besarnya iuran. Semakin tinggi nilai tingkat suku bunga maka akan menghasilkan iuran pensiun yang semakin kecil dan sebaliknya.
PENGARUH TINGKAT BUNGA TERHADAP PENENTUAN HARGA SUATU KONTRAK OPSI PADA MODEL BLACK- SCHOLES Riaman Riaman; Betty Subartini; F Sukono
Jurnal Matematika Integratif Vol 12, No 2: Oktober, 2016
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (5723.882 KB) | DOI: 10.24198/jmi.v12.n2.11919.83-88

Abstract

Kegiatan Investasi akhir-akhir ini berkembang pesat. Investasi yang populer saat iniantara lain investasi tanah, investasi emas, dan investasi saham. Selain Investasi saham dipasar modal, terdapat investasi opsi saham di pasar derivatif. Opsi merupakan salah satubentuk sekuritas derivatif. Pada dasarnya opsi merupakan hak untuk melakukan sesuatu dantidak berkewajiban untuk melakukannya. Di dalam menentukan harga opsi, tingkat bunga,volatilitas, dan faktor lain berpengaruh. Pada paper ini, akan dibahas bagaimana dan berapabesar pengaruh tingkat bunga terhadap harga suatu kontrak opsi. Model yang digunakanadalah model Black-Scholes. Dengan menggunakan model Black-Scholes, akan ditentukanharga opsi beli dan opsi jual serta akan ditunjukkan bahwa semakin tinggi tingkat bunga makasemakin tinggi harga opsi beli dan semakin rendah harga opsi jual dan sebaliknya.
Analisis Kesediaan Membayar Premi Asuransi Usahatani Padi Menggunakan Model Regresi Logistik Putri Adhira Novalia; Riaman Riaman; Betty Subartini
Jurnal Matematika Integratif Vol 18, No 1: April 2022
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (304.751 KB) | DOI: 10.24198/jmi.v18.n1.38212.19-26

Abstract

Kegiatan pertanian khususnya usahatani padi akan selalu dihadapkan pada risiko yang cukup tinggi, meliputi tingkat kegagalan panen yang disebabkan oleh bencana alam (banjir, kekeringan, dll.) serta serangan hama dan penyakit tanaman karena perubahan iklim. Asuransi Usahatani Padi diharapkan dapat menjadi salah satu solusi untuk pengalihan risiko gagal panen yang mungkin dialami oleh petani. Tujuan dari penelitian ini adalah untuk menentukan nilai rata-rata, faktor-faktor yang memengaruhi, dan nilai peluang kesediaan membayar premi. Kesediaan membayar premi nilainya dapat ditentukan melalui Contingent Valuation Method (CVM). Sedangkan untuk mengetahui faktor-faktor yang memengaruhi dan nilai peluang kesediaan membayar premi dianalisis menggunakan Regresi Logistik. Berdasarkan hasil penelitian, didapat nilai rata-rata kesediaan membayar premi sebesar Rp31.973,73/Ha/MT. Lebih kecil 11,18% dari premi yang ditentukan oleh pemerintah saat ini. Dari model Regresi Logistik diperoleh faktor utama yang dapat memengaruhi petani untuk membayar premi, yaitu luas lahan pertanian dan pengalaman bertani, serta nilai peluang petani untuk membayar premi adalah 0,1414.
Analisis Hubungan Inflasi, Indeks Harga Konsumen dan Jumlah Uang Beredar di Indonesia Menggunakan Model Vector Autoregressive Integrated (VARI) Ary Robayani; R Riaman; Betty Subartini
Jurnal Matematika Integratif Vol 18, No 2: Oktober 2022
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (382.219 KB) | DOI: 10.24198/jmi.v18.n2.41501.179-188

Abstract

Data ekonomi merupakan data deret waktu yang cenderung fluktuatif dan mengandung trend, sehingga menyebabkan data tidak stasioner dan perlu dilakukan proses differencing. Metode Vector Autoregressive Integrated (VARI) adalah salah satu metode yang dapat digunakan pada data deret waktu multivariat yang mengalami proses differencing.Dalam penelitian ini, dilakukan pemodelan data inflasi, indeks harga konsumen dan jumlah uang beredar di Indonesia dengan model VARI, penaksiran parameter dengan Maximum Likelihood Estimation (MLE), analisis hubungan antar variabel dengan uji kausalitas Granger, dan uji keakuratan hasil peramalan dengan Mean Absolute Percentage Error (MAPE).Pada hasil penelitian diperoleh model VARI (1,1). Hasil uji kausalitas Granger pada model VARI (1,1) menunjukkan inflasi, indeks harga konsumen, dan jumlah uang beredar memiliki hubungan kausalitas dua arah. Nilai MAPE antara 20% - 50% untuk variabel inflasi dan indeks harga konsumen dan < 10% untuk variabel jumlah uang beredar, sehingga kedua model cukup baik digunakan untuk peramalan inflasi dan indeks harga konsumen, dan sangat baik digunakan untuk peramalan jumlah uang beredar. Kata Kunci: deret waktu, VARI, MLE, uji kausalitas Granger, peramalan, MAPE. 
Willingness to Pay of Fishermen Insurance Using Logistic Regression with Parameter Estimated by Maximum Likelihood Estimation Based on Newton Raphson Iteration Yulianus Brahmantyo; Riaman Riaman; F Sukono
Jurnal Matematika Integratif Vol 17, No 1: April 2021
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (293.663 KB) | DOI: 10.24198/jmi.v17.n1.32037.15-21

Abstract

The high risk of losing fishermen's life while at sea is inversely proportional to their low welfare. Fishermen are also unable to meet their daily needs when they are not going to sea. Fishermen welfare insurance can be a solution for them to meet their daily needs. Willingness to Pay (WTP) of fishermen to participate in fishermen welfare insurance can be analyzed using Logistic Regression with Newton Raphson and Genetic Algorithm approximations. Some of the main factors that can support their WTP to participate in fishermen welfare insurance, are fishermen education, membership in the fishing community, membership in fisherman business cards, and knowledge about the existence of fishermen insurance. From these four factors, Logistic Regression Model is generated which is expected to help the increase of fishermen’s WTP on fishermen insurance in Indonesia.
PERHITUNGAN TINGKAT RISIKO CYBER PADA LAYANAN KEUANGAN DIGITAL BERDASARKAN BIAYA KERUGIAN AGREGAT Putri Chaerunnisa Febryanti; Betty Subartini; Riaman Riaman
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol 9, No 1 (2023): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.9.1.95-104

Abstract

Sektor keuangan memiliki inovasi yang akan mengubah fondasi perbankan sentral dan merevolusi semua pengguna jasa keuangan, yaitu Financial Technology(FinTech). Penerapan FinTech mengakibatkan kejahatan berbasis teknologi dan komunikasi pun meningkat pesat. Berdasarkan data dari Honeynest Project dari BSSN – IHP pada Bulan Mei-November 2018, Indonesia mendapatkan 12.895.554 serangan cyber. Penelitian ini bertujuan untuk mengestimasi tingkat risiko cyber berdasarkan biaya kerugian agregat pada layanan keuangan digital berdasarkan model operasional yang dapat meminimalkan modal yang diperlukan. Penelitian ini menggunakan pendekatan kuantitatif dengan menghitung frekuensi kejadian serangan cyber mengikuti distribusi Poisson, distribusi kerugian mengikuti fungsi distribusi eksponensial, serta perhitungan besarnya kerugian agregat. Hasil penelitian menunjukkan bahwa distribusi Poisson dan distribusi eksponensial dapat digunakan untuk mengukur risiko cyber berdasarkan biaya kerugian agregat, dengan biaya kerugian agregat terbesar adalah sebesar Rp2.925.235,49.
Application of Single Index Model to Determine Optimal Stock Portfolio (A Case Study on IDX30 in 2022) Emmanuel Parulian Sirait; Kankan Parmikanti; Riaman Riaman
International Journal of Quantitative Research and Modeling Vol 4, No 3 (2023)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v4i3.493

Abstract

Stock represent proof of ownership or participation of an individual or entity in a company. Investors gain profits from shares through capital gains and dividends. The difficulty in selecting an optimal composition of a stock portfolio is a major concern for investors. This study aims to determine the optimal composition of a stock portfolio, calculate the expected returns in the future, and assess the potential risks that investors may encounter later on. The data for this research consists of stocks listed on the IDX30 Index throughout the year 2022, which consistently appear in every six-month evaluation. The analysis is conducted using a single-index model. Based on the findings of this study, the following ten stocks are identified as the optimal portfolio constituents: KLBF with a weight of 17.20%, BBRI with a weight of 17.18%, BBCA with a weight of 17.08%, PTBA with a weight of 12.46%, BBNI with a weight of 9.89%, UNVR with a weight of 8.33%, INKP with a weight of 8.66%, ICBP with a weight of 5.56%, BMRI with a weight of 3.25%, and UNTR with a weight of 0,39%. The expected return from the formed portfolio is 0,1% per day, with a corresponding risk of 0,004%.
Optimum Fund Allocation Strategy by Considering the Company's Assets and Liabilities Qurrotu Aini; Dwi Susanti; Riaman Riaman
International Journal of Quantitative Research and Modeling Vol 4, No 3 (2023)
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v4i3.444

Abstract

Investment is essentially placing some funds at present with the expectation of future profits. The basic thing that an investor needs to know is that there is a risk that follows the profit/return. In determining the proper allocation of funds, an investor needs to consider the company's assets and liabilities. Company assets can be in the form of shares, property, and others. Meanwhile, the company's liabilities include debts and other obligations. One of the sectors whose company value has stagnated or increased during the Covid-19 Pandemic is the financial sector. Securities companies are a sub-sector of the financial sector which has a fairly strong position during the Pandemic. This research aims to determine the weight of fund allocation in each company forming the optimum portfolio and to see the effect of the company's assets and liabilities on the formation of the optimum portfolio. One of the methods used is the Lagrange Multiplier method for model formulation. The results of this study show that the optimal portfolio weight of PANS companies is 16.31% with an allocation of funds amounting to Rp163.612.976,00, the optimum portfolio weight of RELI companies is 83.003% with an allocation of funds of Rp830.029.681,00, and the optimum portfolio weight of TRIM companies is 0.636% with the allocation of funds amounting to Rp6.358.243,00. In this study, it was also found that the greater the percentage difference between the company's assets and liabilities, the greater the company's optimum portfolio weight.
PENGGUNAAN METODE BORNHUETTER-FERGUSON UNTUK ESTIMASI CADANGAN KLAIM Riaman Riaman; Betty Subartini; Kankan Parmikanti
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 4 No. 2 (2023): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v4i2.366

Abstract

Health insurance company have to determine claim reserve that’s suitable with the existing condition. There is three party that’s involved in the health insurance management, namely the policy holder, Admedika as the third party administration, and also the insurance company itself as the (insurer). When the policy holder obtained treatments whose financing is done through a health insurance, then the health insurance company have the obligation to finish the financial matters. Delays in payments from insurance companies to health facilities are caused, among others, by the administrative process. Thus, every claim submitted by the insured party to the insurance company will be settled in stages to the health facilities. The data presented from these conditions form a triangle matrix (run-off triangle) which then becomes the basis for estimating the amount of IBNR claims reserves. The Bornhuetter-Ferguson (BF) method involves the amount of premium that has become income for the company and calculates the Ultimate Claim value in estimating the amount of claim reserves. This method is the result of the development of the previous method, Chain-Ladder (CL), which only relies on historical data on claim payments. Premium calculations need to be involved in health insurance, because the insurance period is short, which is only one year. Insurance companies haven't had time to turn around the money to invest, so payment of claims will depend more on the premium that becomes income for the company (earned premium). The estimated claim reserve value is more suitable and robust than the CL method. Estimated claim reserves that occur in the 2nd event period amount to IDR50,658,714 with an estimated interval for the 2nd event period between IDR10,215,477 and IDR91,101,950
STUDI SIMULASI : PERBANDINGAN UJI WELCH DAN UJI COHRAN COX PADA MASALAH BEHRENS-FISHER Sudartianto Sudartianto; Yudhi Andriyana; Riaman Riaman
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 9 No 1 (2017): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2017.9.1.2856

Abstract

Behrens-Fisher problem has a lot of test, two of them are Cohran-Cox test and Welch test. This study will examine the stability of both tests by comparing thesignificance levels of both tests to a specific (given) significance level. The result shows that the Welch test is more stable than the Cochran-Cox test which means that theoretically Welch test is better than Cochran-Cox test.
Co-Authors AGUS SUPRIATNA Aldino Reisnanda Alit Kartiwa Anang Muhajirin Andhita Zahira Adib Annisa Aprillia Ariyanti, Devi Arla Aglia Yasmin Ary Robayani Asthie Zaskia Maharani Atha Hukama Aulianda Anisa Putri S. R. Aulya Putri Ayyinah Nur Bayyinah Azizah Rini Widyani Bayyinah, Ayyinah Nur Betty Subartini Betty Subartini Betty Subartini Betty Subartini Dewi Ratnasari Dwi Susanti Dwi Susanti Dwi Susanti Dwi Susanti Dwi Susanti Dwi Susanti Edi Kurniadi Emmanuel Parulian Sirait Estu Putri Dianti Ghazali, Puspa Liza Hasbullah, Soeryana Herlina Napitupulu Hidayana, Rizki Apriva Hukama, Atha Iin Irianingsih Jumadil Saputra Kahar, Ramadhina Hardiva kalfin Kalfin Kankan Parmikanti Khalilah Razanah Zakirah Komar Komar Laksito, Grida Saktian Linda Damayanti Putri Luki Setiawan Luki Setiawan Lutfi Praditia Ma’mur Maharani, Asthie Zaskia Ma’mur, Lutfi Praditia MIFTAAHUL JANNAH Moisino, Misel Lindi Nahda Nabiilah Noriszura Ismail Novianti, Saqila Pramudhita, Annisa Pryimak, Evgen Putri Adhira Novalia Putri Chaerunnisa Febryanti Putri, Aulya Putri, Linda Damayanti Qurrotu Aini Radya Pratiwi Serila Raharjanti, Amalia RAHMAWATI, SEPTI Ramdhania, Tya Shafa Ratih Kusumadewi Riadi, Nadia Putri Riza Adrian Ibrahim Saefullah, Rifki Silvia Wijaya Soeryana Hasbullah Subartiny, Betty Sudartianto Sudartianto Sukono Sukono Supian, Sudradjat Susanto, Sunarta Sya’imaa.HS, Audrey Ariij Tika Fauzia Tyrenia Rahmawati Ulfatmi, Ristifani Vimelia, Willen Wahid, Alim Jaizul Waway Tiswaya Widyani, Azizah Rini Willen Vimelia Yasir Salih Yasmin, Arla Aglia Yeremia Herry Parulian Yeremia Herry Parulian, Yeremia Herry Yudhi Andriyana Yulianus Brahmantyo Zahra, Ami Emelia Putri