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All Journal Jurnal Pendidikan Matematika SoLuSi ( Tersohor Luas dan Berisi ) Desimal: Jurnal Matematika Jurnal SOLMA JIKA: Jurnal Ilmu Keuangan dan Perbankan Value: Jurnal Manajemen dan Akuntansi JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) ESTIMASI: Journal of Statistics and Its Application Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Premium: Insurance Business Journal Jurnal Pijar MIPA Jurnal Sintak Mathematical Sciences and Applications Journal
Anggraeni, Andini Setyo
Institut Teknologi Batam
Humanities Biochemistry, Genetics & Molecular Biology Chemistry Civil Engineering, Building, Construction & Architecture Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Physics Social Sciences Other

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Calculation of Indonesian Pension Funds Using Group Self Anuitization Method and Makeham Mortality Law Anggraeni*, Andini Setyo; Rahmadani, Suci; Utama, Rifki Chandra; Handayani, Vitri Aprilla
Jurnal Ilmu Keuangan dan Perbankan (JIKA) Vol. 12 No. 2: Juni 2023
Publisher : Program Studi Keuangan & Perbankan, Fakultas Ekonomi dan Bisnis, Universitas Komputer Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34010/jika.v12i2.9110

Abstract

This study aims to calculate Indonesian pension funds using the Group Self Anuitization method and Makeham's death law. The calculation of the GSA method is almost the same as the calculation of an annuity for life, so the price determination procedure includes calculating the level of annuity payments. The death rate is projected by Makeham Mortality Law based on Indonesian Mortality Table IV. Based on an analysis with the same premium amount, it is known that the benefits of male pension funds are greater than women for each age at which benefits are paid, pension funds paid to policyholders increase from 2019-2021 and decrease in 2022, the higher the entry age payment of pension funds, the benefits obtained will be even greater Keywords: Group Self Annuitization; Pension Fund; Makeham Law; Premiums; Annuity Abstrak Penelitian ini bertujuan untuk menghitung dana pensiun Indonesia dengan menggunakan metode Group Self Anuitization dan hukum kematian Makeham. Perhitungan pada metode GSA hampir sama dengan perhitungan anuitas seumur hidup, sehingga prosedur penentuan harga meliputi perhitungan tingkat pembayaran anuitas. Angka kematian diproyeksikan oleh Hukum Kematian Makeham berdasarkan Tabel Mortalita Indonesia IV. Berdasarkan analisis dengan besaran premi yang sama, diketahui bahwa manfaat dana pensiun laki-laki lebih besar dari perempuan untuk setiap usia masuk pembayaran manfaat, dana pensiun yang dibayarkan kepada pemegang polis meningkat dari tahun 2019-2021 dan menurun pada tahun 2022, semakin tinggi usia masuk pembayaran dana pensiun maka manfaat yang diperoleh akan semakin besar. Kata Kunci: Annuitisasi Diri Kelompok; Dana Pensiun; Hukum Mortalita Makeham; Premil; Anuitas
Value at Risk Evaluation of Defined Contribution and Defined Benefit Pension Plans Fadilah, Alya; Anggraeni, Andini Setyo; Reza, Widya
Jurnal Ilmu Keuangan dan Perbankan (JIKA) Vol. 13 No. 2: June 2024
Publisher : Program Studi Keuangan & Perbankan, Fakultas Ekonomi dan Bisnis, Universitas Komputer Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34010/jika.v13i2.12689

Abstract

Pension funds such as the Defined Benefit Pension Program (DBPP) and the Defined Contribution Pension Program (DCPP) have risks that need to be managed carefully. Previous research has looked at VaR in other contexts, but no one has specifically discussed VaR in pension funds, especially DBPP and DCPP. The main objective of this research is to determine the VaR value for the two pension programs and analyze the risk differences between DBPP and DCPP. The method used is VaR measurement with Monte Carlo simulation based on data from January 2015 to July 2023. The research results obtained from these measurements show that DBPP provides the largest potential maximum loss (VaR) value for the next 1 month period compared to DCPP.
PERAMALAN EKSPOR TIGA KOMODITAS UTAMA SEKTOR PERIKANAN MENGGUNAKAN METODE TIME SERIES: ARIMA Nabillah, Faradiba; Munir, Zainul; Permatasari, Ririt Dwiputri; Anggraeni, Andini Setyo; Safitriyana, Safitriyana
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 2 (2024): 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.v5i2.593

Abstract

Batam City is one of the cities in Indonesia which is located in a strategic area on international shipping routes and has a sea area of 3,675 km so it has great potential for exporting fishery products, based on main commodities. Based on data from the Ministry of Maritime Affairs and Fisheries (KKP) in 2022, the performance of the export value of Indonesian fishery products during 2022 experienced positive growth of 21.63 percent compared to 2021. In 2021, the export value of Indonesian fishery products reached 1,258 million USD, increasing to 1,530 million USD in 2022. This fact shows that the marine fisheries sector still offers significant opportunities today. However, there are several obstacles that stand in the way of the export process. These obstacles include the low level of technology application, unequal infrastructure development in various fisheries centers, limitations in providing capital, low utilization of Indonesia's marine potential, and the use of fishing systems in the production process which are deemed unable to utilize Indonesia's marine potential optimally. Given this problem, it is interesting to see the forecast for fishery product exports according to the main commodities in the city of Batam. Is there an increase or a decrease? So the aim of this research is to describe the predicted results of the export value of fishery products according to 3 main commodities, namely shellfish, crab and shrimp in Batam City in the next 5 years. This research method is quantitative using the time series method: ARIMA. The research results show that the estimated export of shellfish and crab will decrease from 2023 - 2027. Meanwhile, the estimated export of shrimp will increase from 2023 - 2027
ANALYSIS OF EXPORTS OF FIVE MAIN FISHERY PRODUCT COMMODITIES IN BATAM CITY USING THE MARKOV CHAIN MODEL Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Aprilla Handayani, Vitri; Tarsila, Huiliana
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 5 No. 2 (2024): 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.v5i2.644

Abstract

Indonesia, an archipelagic country, boasts significant potential in the fisheries sector, notably in the export of fishery products. Batam as a free trade zone plays a major role in Indonesia's fishery product exports. According to the Central Statistics Agency's data, there has been a 2.47% decline in fish and shrimp exports in January and February 2023 compared to January 2022. Therefore, further analysis is needed on projected exports of fishery products in Batam. This study focuses on the utilization of the Markov chain model to analyze the export dynamics of Batam City's primary fishery product commodities, including Seaweed, Fish, Shrimp, Crab, and Shellfish. Monthly export data for Batam City's fishery products throughout 2021-2023 sourced from The Ministry of Marine Affairs and Fisheries. Based on these data, the transition probability matrix will be calculated based on the number of export transitions below and above the Moving Average (MA 12) value. The Markov chain model for this case is an erdogic Markov chain model, in order that the limiting probability of the Markov chain model can be determined. The result shows that exports of fish, shrimp and crab in the long term will exceed the average export size in the past year each after 7 months, 11 months, and 14 months later respectively, while exports of seaweed and shellfish in the long term will be below the large average exports in the past year after 15 and 5 months. This research result offer valuable insights for the government to formulate strategies and policies concerning fishery product exports
PERHITUNGAN MEDICAL REIMBURSTMENT PREMIUM DAN DAILY BENEFIT PREMIUM UNTUK SICKNESS INSURANCE Andini Setyo Anggraeni
Premium Insurance Business Journal Vol. 9 No. 1 (2022): PREMIUM INSURANCE BUSINESS JOURNAL
Publisher : P3M Trisakti School of Insurance (TSI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35904/premium.v9i1.30

Abstract

The purpose of this study is to calculate premiums for sickness insurance using Helligman Pollard's law of mortality. This research will focus on Medical Reimburstment Premium and Daily Benefit Premiums. Data on the size of claims, z (frequency of claims per individual) and d (duration of claims) where z has a Poisson distribution (0.8) and claims size is lognormally distributed (1,5,1). The premium calculation will be aggregated for 5 years and starting from the age of 15 years to 70 years. The premium for daily benefits is higher than the premium for medical reimbursement for all ages. The lowest premium is premium for 25-30 years old, which is 8.518657957 for medical reimbursement premium and 41.79084811 for daily benefit premium, while the highest premium is for 65-70 years old, which is 114.2254996 for medical reimbursement premium and 258.6346296 for daily benefit premiums. Keywords : Sickness Insurance, Premium, Medical Reimburstment, Daily Benefit
Edukasi Tentang Implementasi Ilmu Matematika Dalam Bidang Kemaritiman Reza, Widya; Faradiba Jabnabillah; Anggareni, Andini Setyo Anggraeni; sabarinsyah
Jurnal SOLMA Vol. 13 No. 2 (2024)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v13i2.14932

Abstract

Background: Sebahagian besar orang masih menganggap matematika sebagai ilmu yang sulit dan membingungkan karena dalam praktiknya, ilmu tersebut cenderung hanya ditekankan pada penguasaan konsep dan pengaplikasian matematika dalam soal-soal standar ujian tertulis tanpa adanya integrasi dengan kehidupan nyata. Tujuan pengabdian masyarakat ini untuk memberikan eduksi tentang bagaimana implementasi ilmu matematika dalam dunia nyata khusus nya bidang kemaritiman dengan memberikan berbagai contoh permasalahan dan cara memecahkan masalah menggunakan ilmu matematika. Metode: Kegiatan ini dilaksanakan di SMA N 21 Batam dengan jumlah peserta sebanyak 31 orang. Kegiatan ini berlangsung selama enam minggu dengan intervensi memberikan edukasi tentang implementasi ilmu matematika dalam bidang kemaritiman dengan praktik penggunaan software statistika dalam proses pembelajaran matematika. Rangkaian kegiatan ini terdiri dari prestest, uraian materi, praktik, sesi diskusi, dan post test. Hasil: Hasil pretest menunjukkan bahwa persentase tingkat motivasi siswa pada pembelajaran matematika masih banyak yang kurang termotivasi bahkan tidak termotivasi. sedangkan hasil post test menunjukkan bahwa terjadi peningkatan motivasi siswa setelah dilakukan pelatihan software statistika menggunakan data kemaritiman. Peserta juga memperoleh pengetahuan tentang implementasi ilmu matematika dalam berbagai bidang dengan emanfaatkan software statistika. Kesimpulan: Para siswa sangat antusias dan bersemangat mengikuti kegiatan ini yang ditunjukkan dengan peningkatan pemahaman, motivasi dan kepuasan dalam belajar ilmu matematika. Meskipun sudah memiliki pemahaman yang cukup, namun sebaiknya siswa dan guru matematika juga mampu meningkatkan motivasi dalam mempelajari ilmu matematika dengan pendekatan studi kasus dan penggunaan berbagai software matematika dalam proses pembelajaran.
Markovian modelling of transmission of tuberculosis cases in Indonesia Anggraeni, Andini Setyo; Jabnabillah, Faradiba
Desimal: Jurnal Matematika Vol. 7 No. 2 (2024): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v7i2.23477

Abstract

Indonesia is ranked as the second highest contributor to global cases of Tuberculosis (TB), which requires a focused approach to the transmission of tuberculosis within the country. This research aims to model and analyze the spread of TB cases in Indonesia. This research uses a discrete-time Markov chain with S-I-T-R-D states and Maximum Likelihood Estimation to model the transmission of TB cases. This research provides innovation in modeling the transmission of TB cases with a more complex model by including the possibility of relapse and treatment outcomes using historical data of TB cases in Indonesia. This research produces a matrix of transition probabilities for each state, first transition probabilities, steady state states, expected times for each transition and lifetime.
Fuzzy time series markov chain and discrete-time markov chain analysis of export gonggong in Batam Anggraeni, Andini Setyo; Sabarinsyah, Sabarinsyah; Hayati, Nahrul; Wati, Dia Cahya; Ananda, Serly Tri
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26494

Abstract

Gonggong snails are an important fisheries commodity that has high economic value. However, freight on board export Gonggong has a bigger probability to decrease (below the half-term weighted average). So, more in-depth research is needed about Gonggong exports. In this research we will model and forecast Gonggong exports in Batam City using the Fuzzy Time Series Markov Chain (FTMC) and Discrete-Time Markov Chain (DTMC) methods. In FTMC the data will be divided into six states based on the fuzzification results, while in DTMC the data will be divided into four states, namely very low, low, high, and very high. Gonggong export data in kilograms for Batam City for 2020-2024 is sorted based on H.S. Code. The results of research using FTMC and DTMC provide similar results, namely that in the next six months, in December 2024, Gonggong's export size will experience an equilibrium condition where in the following months the export size will not experience significant changes. The highest possibility that will occur in this condition is that Gonggong's exports will be low with a probability of 39.99%, and the probability that exports will be very low is 24.75%. This is confirmed by the results of analysis using the fuzzy time series Markov chain. The results of the analysis predict that Gonggong's export in the following month, namely July 2024, will be 6,169.97 kg, which is in the low export size category. Predictions for the next month can also be made by continuing the calculation using FTMC.
Peningkatan Kapasitas Pengolahan Data Penjualan dan Analisis Tren Pasar untuk Optimalisasi Strategi Bisnis di CV Sabila Craft Batam Handayani, Vitri Aprilla; Wibowo, Sadiq Ardo; Rahman, Taufiq; Anggraeni, Andini Setyo; Sulistyono, Eko; Hayati, Nahrul; Lunardi, Louis; Asikin, Nur
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i2.18357

Abstract

Pendahuluan: Program pengabdian ini bertujuan membantu CV. Sabila Craft Batam, perusahaan kerajinan yang belum memiliki sistem pencatatan dan analisis data penjualan yang terstruktur. Akibatnya, pengambilan keputusan bisnis masih bersifat intuitif. Kegiatan ini diharapkan mampu meningkatkan kemampuan perusahaan dalam mengelola data dan menganalisis tren pasar guna mendukung pengambilan keputusan yang lebih tepat. Metode: Pendekatan yang digunakan bersifat edukatif-partisipatif melalui pelatihan, pendampingan teknis, dan simulasi studi kasus. Peserta dilatih menggunakan perangkat lunak sederhana untuk pencatatan penjualan dan analisis data. Hasil: Terdapat peningkatan pemahaman dalam pencatatan dan analisis data. CV. Sabila Craft mulai membentuk sistem pencatatan yang lebih rapi serta strategi pemasaran berbasis data. Kesimpulan: Kegiatan ini berhasil meningkatkan keterampilan analisis data, sehingga CV. Sabila Craft lebih siap bersaing dan mengambil keputusan bisnis secara terukur.
Pelatihan Pengolahan Data Penjualan dan Analisis Tren Pasar Kuliner Seafood Khas Melayu di Kelong Arjam Mentarau Bertuah Hayati, Nahrul; Sulistyono, Eko; Anggraeni, Andini Setyo; Handayani, Vitri Aprilla; Sabarinsyah; Utami, Arli Magfirah; Putri, Tia Aura; Devikaduri, Laras
Jurnal SOLMA Vol. 14 No. 2 (2025)
Publisher : Universitas Muhammadiyah Prof. DR. Hamka (UHAMKA Press)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22236/solma.v14i2.18605

Abstract

Background: Kelong Arjam Mentarau Bertuah, usaha kuliner seafood khas Melayu di Batam, menghadapi kendala dalam pengelolaan data penjualan dan analisis tren pasar yang masih dilakukan secara manual. Kegiatan Pengabdian kepada Masyarakat (PkM) ini bertujuan meningkatkan kapasitas mitra melalui pelatihan dan pendampingan berbasis teknologi, khususnya dalam pengolahan data penjualan dan analisis tren pasar, guna meningkatkan efisiensi dan daya saing usaha. Metode: Kegiatan ini dilaksanakan melalui metode pelatihan dan pendampingan, yang mencakup penggunaan aplikasi pengolahan data penjualan (Microsoft Excel), analisis tren pasar, serta simulasi bisnis untuk menguji berbagai skenario strategis. Hasil: Terjadi peningkatan signifikan dalam kemampuan mitra untuk mengelola data penjualan secara digital dan menganalisis tren pasar. Mitra berhasil mengidentifikasi produk favorit dan pelanggan favorit, serta meningkatkan laba bersih melalui simulasi pengurangan biaya operasional. Selain itu, mitra kini mampu merancang strategi pemasaran berbasis data, seperti promosi produk premium dan program loyalitas pelanggan. Kesimpulan: Kegiatan PkM ini berhasil mencapai target dengan meningkatkan efisiensi operasional dan strategi pemasaran mitra. Rekomendasi untuk kegiatan selanjutnya adalah pendampingan jangka panjang, pengembangan sistem loyalitas pelanggan, dan ekspansi pemasaran digital untuk memperluas jangkauan pasar. Dampak kegiatan ini diharapkan dapat menjadi model bagi pengembangan UMKM kuliner lainnya.
Co-Authors Alhamidi, Alhamidi Ananda, Serly Tri Aprilla Handayani, Vitri Budiyono, Budiyono Devikaduri, Laras Dia Cahya Wati Eko Sulistyono Sulistyono Fadilah, Alya Handayani*, Vitri Aprilla Handayani, Vitri Aprilla Ismi Rizqa Lina Jabnabillah, Faradiba Lunardi, Louis Muhammad Agus Muljanto munir, Zainul Munir Nabillah, Faradiba Nahrul Hayati Nur Asikin Pramesti, Getut Puri Rahayu Nengsi Putri, Tia Aura Rifki Chandra Utama Ririt Dwiputri Permatasari Risa Mustika Rusmadi, Garry Sabarinsyah, Sabarinsyah Sadiq Ardo Wibowo, Sadiq Ardo Safitriyana, Safitriyana Tarsila, Huiliana Taufiq Rahman Utama, Rifki Chandra Utami, Arli Magfirah Widya Reza