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Estimasi Parameter Model Suku Bunga Vasicek menggunakan Metode Jackknife pada Bank Indonesia Khairunnisa, Michi; Arnellis, Arnellis
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.14215

Stochastic interest is exemplified by the Vasicek Interest Rate Model. Interest rates change from time to time. This study is a type of applied research in which the Jackknife Method to gauge the characteristics of the parameters of the Vasicek Interest Rate Model. The Jackknife method of parameter estimation involves resampling, which is done by taking out one observation from the data and repeating the process as often as necessary. The Jackknife technique is used to get estimates from observation with a small sample size. The goal of this study is to understand the Jackknife Method’s estimate findings for the Vasicek Model parameters. The Vasicek Model parameter estimate process involves numerous steps, including establishing the recursive solution, changing the equation into a regression form, then transformation to the matrix and estimation to the parameter using the Jackknife technique. By following the step, it is possible to determine that the Vasicek interest rate model parameters is 0.20424, 0.38909 , as well as 0.28083.

Model Matematika Penyebaran CVEV (Citrus vein enation virus) pada Tanaman Jeruk Nipis Melalui Serangga Kutu Daun Yani, Fitri; Arnellis, Arnellis
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14209

Citrus vein enation virus is a virus that attacks lime plants. This virus can cause swelling of the veins of the leaf veins like clumps that are spread irregularly on the underside of the leaves resulting in decreased yields and short-lived plants. This virus is spread by aphids. This research was conducted with the aim of knowing the shape of the mathematical model for the spread of the Citrus vein enation virus and interpreting the research results from the mathematical model. This research uses basic research types and descriptive methods. From the results of the study it was found that the mathematical model of the spread of the Citrus vein enation virus was in the form of a system of differential equations and the interpretation of the model obtained 2 equilibrium points including the equilibrium point which is asymptotically stable because it obtained which is 0.1502685768 which means the virus can disappear within a certain time and the equilibrium point which is asymptotically stable because it gets which means 1.502685768 which means the virus will spread in time long.

Analisis Metode Black-Scholes dan Monte Carlo Terhadap Penentuan Opsi Jual Eropa Megis, Febi Fortuna; Arnellis, Arnellis
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13850

Managing the risks that will occur when investing, things that can be done by trading options. Stock options are used as a means of protection against stock price volatility. Option price calculations are performed using two methods, namely the Black-Scholes method and the Monte Carlo method. The purpose of this study is to determine the best method for determining option values. This research is basic research. The data used is the daily closing price of the pharmaceutical industry's shares in the New York Stock Exchanges (NYSE), namely Astra Zenecca and Abbott Laboratorie, the Dow Jones stock index, namely Pfizer Inc., Merck & Co Inc., and Johnson & Johnson for the period August 2022 to November 2022 with a maturity of three months. The results of the research show that the Price Absolute Error (PAE) is 18.75% or 0.1875 for the Black-Scholes method and 11.66% or 0.1166 for the Monte Carlo method, thus showing that the Monte Carlo method is more accurate than the Black-Scholes method for determining options. selling Europe.

Penggunaan Metode Attained Age Normal dan Projected Unit Credit Pada Perhitungan Pembiayaan Dana Pensiun (Studi Kasus: PERUMDA Tirta sakti Kerinci) Miranda, Dede; Arnellis, Arnellis
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13669

The problem in this study is that PERUMDA Tirta Sakti must provide guarantees to employees regarding pension funds. This study aims to calculate the amount of normal contributions, actuarial obIigations, using the AAN and PUC methods. This is applied research, and the participants are all PERUMDA Tirta Sakti Kerinci employees. Purposive sampling is the method of sampling.When compared to the Projected Unit Credit method, the findings demonstrated that the normal contribution calculated using the Attained Age Normal method increased significantly as one approached retirement age. The PUC method yields a lower amount of actuarial liabilities than the AAN method. The total amount of accumulated pension contributions has an impact on the size of theiipension benefit. The amassed annuity commitments are straight forwardly corresponding to the benefits got by the members.

Penggunaan Metode Autoregressive Integrated Moving Average untuk Meramalkan Nilai Tukar Petani di Sumatera Barat Yosela, Fiera; Arnellis, Arnellis
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13817

Resident of West Sumatra is mostly absorbed in the agricultural sector. The welfare of farmers is the main priority which is believed to be in development in that sector. Therefore we need a benchmark to measure prosperity of peasant, either is farmer’s exchange rate. This study has goal of get best ARIMA model to predict the farmer’s exchange rate of West Sumatra. Research results to get greates model ARIMA (1,1,1) have smallest MSE vaIue 2681^(-9). The shape of the model is Y_t^0.09=0.0005685-0.5270Y_(t-1)^0.09+Y_(t-1)^0.09+0.5270Y_(t-2)^0.09+0.9921e_(t-1)+e_t.

Analisis Konjoin Dan Metode Kendall’s W Tentang Preferensi Mahasiswa Jurusan Matematika Fmipa Unp Dalam Memilih Berbelanja Online Amelia, Chairani; Arnellis, Arnellis
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.13623

Online shopping is one of the processes of buying and selling goods, services and others online without meeting with sellers and buyers who provide various human needs easily. This study aims to find out how the attribute level combination of the students' liking level and the alignment of the attributes used in the study is carried out. The results in this study indicate that the combination of levels that students prefer most in choosing to shop online are products with good quality, low prices, promotions with discounts and free shipping, satisfactory service and a good reputation. The most important attribute for students of the Mathematics Department of FIMPA UNP in choosing to shop online is the price attribute because it has a very high level of relativity of 46.16%. In the Kendall's W method, it can be seen that there is harmony between the assessments of the respondents and the 5 attributes studied. This is indicated by the statistical value that is greater than the statistical value of the table, namely 61.79824 > 9.488.

Implementation Of Metacognitive Approach To Self-Regulated Learning And Mathematical Problem-Solving Skills Of Grade X Students Hrp, Diah Maya Fitrih; Arnellis, Arnellis; Yerizon, Yerizon; Harisman, Yulyanti
JETL (Journal of Education, Teaching and Learning) Vol 10 (2025): Special Issue
Publisher : STKIP Singkawang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26737/jetl.v10i1.6954

This study aims to describe the achievement of mathematical problem solving ability and learning independence of class X students of SMAN 1 Angkola Barat with a metacognitive approach. This type of research is a quasi-experiment with class X1 as the sample. The research instruments used were problem solving ability tests and learning independence questionnaires. The results of the study showed that using the Mann-Whitney U test, it was found that the problem solving ability of the experimental class had an average of 40.37 and the control class with an average of 30.63 and a sig. value of 0.0215. This means sig. <0.05. The conclusion is that the problem solving ability of students who use a metacognitive approach is better than the problem solving ability of students who use conventional learning. The learning independence of students in the experimental class obtained an average of 43.20 and the control class 27.80 and a sig. value. <0.05 or 0.001 <0.05, it is concluded that the learning independence of students taught with a metacognitive approach is better than the learning independence of students taught with conventional learning

Developing adaptive digital book (ADB) in enhancing students’ numeracy literacy ability Yerizon, Yerizon; Arnellis, Arnellis; Suherman, Suherman; Arnawa, I Made; Sa'dijah, Cholis; Anwar, Lathiful
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p571-586

Numeracy literacy is essential for students to solve interrelated problems across various subjects. However, students' numeracy literacy skills remain low, necessitating innovative learning resources. This research focuses on designing an Adaptive Digital Book (ADB) that is claimed to be valid, practical, and effective in improving students' numeracy literacy. This study adopted a design research approach in the context of development studies, which included two main phases: the preliminary phase and the formative evaluation phase, which included self-evaluation, expert evaluation, and iterative evaluation (one-to-one, small group, and field test). Quantitative and qualitative data were gathered through assessment of numeracy literacy, interviews, and distributing questionnaires. Results showed that ADB is practical and effective in its validity as well as in meeting the requirements of students with different learning needs. The combination of multimedia elements like videos caters to visual and auditory learners, which helps improve their numeracy literacy skills.

Developing adaptive digital book (ADB) in enhancing students’ numeracy literacy ability Yerizon, Yerizon; Arnellis, Arnellis; Suherman, Suherman; Arnawa, I Made; Sa'dijah, Cholis; Anwar, Lathiful
Jurnal Infinity Vol 14 No 3 (2025): VOLUME 14, NUMBER 3, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v14i3.p571-586

Numeracy literacy is essential for students to solve interrelated problems across various subjects. However, students' numeracy literacy skills remain low, necessitating innovative learning resources. This research focuses on designing an Adaptive Digital Book (ADB) that is claimed to be valid, practical, and effective in improving students' numeracy literacy. This study adopted a design research approach in the context of development studies, which included two main phases: the preliminary phase and the formative evaluation phase, which included self-evaluation, expert evaluation, and iterative evaluation (one-to-one, small group, and field test). Quantitative and qualitative data were gathered through assessment of numeracy literacy, interviews, and distributing questionnaires. Results showed that ADB is practical and effective in its validity as well as in meeting the requirements of students with different learning needs. The combination of multimedia elements like videos caters to visual and auditory learners, which helps improve their numeracy literacy skills.

THE ETHNO MATHEMATICS INTEGRATED TEACHING MODULE TO INCREASE THE MATHEMATICAL PROBLEM SOLVING SKILLS Nurhadi, Muhammad; Yerizon, Yerizon; Arnawa, I Made; Yarman, Yarman; Arnellis, Arnellis
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.10986

A teaching module equipped with LKPD can actualize a more effective and fun learning process, also can increase the mathematical problem solving skills that should mastered by the students. However, from the data acquisition results there are still many students who have difficulties in solving and resolving the mathematical problems given. So, there need innovation in using teaching module equipped with ethno mathematic integrated LKPD which can assist to increase the mathematical problem solving skills of the students. This research aims to comparing the mathematical problem solving ability of VII grade junior high school students taught with ethno mathematic integrated teaching modules with students taught with conventional methods. This research is a quasy experiment and research design uses is randomized control group only design. The research population are whole grade seventh students of Al Madinah Islamic Boarding School which amounts are 115 people. The instrument uses is mathematical problem solving skills test. Based on the research results, the average score for experimental class students was 78,33 and the average score for control class students was 70,14. After testing the hypothesis with the t test, it is found that the ability to solve mathematical problems skills of those learning through teaching modules equipped with ethno mathematics integrated LKPD with problem based learning model are higher than the mathematical problem solving skills of those learning through conventional learning model.Modul ajar yang dilengkapi dengan LKPD dapat mewujudkan proses pembelajaran yang lebih efektif dan menyenangkan, serta dapat meningkatkan kemampuan pemecahan masalah matematis peserta didik yang harus dikuasai oleh peserta didik. Namun, dari hasil perolehan data yang didapatkan masih banyak peserta didik yang kesulitan dalam memecahkan dan menyelesaikan persoalan matematika yang diberikan. Sehingga, perlu adanya inovasi dalam penggunaan modul ajar disertai LKPD terintegrasi etnomatematika yang dapat membantu meningkatkan kemampuan pemecahan masalah peserta didik. Penelitian ini bertujuan untuk membandingkan kemampuan pemecahan masalah matematis peserta didik kelas VII SMP/MTs yang diajar dengan modul ajar terintegrasi etnomatematika dengan peserta didik yang diajar dengan metode konvensional. Penelitian ini merupakan penelitian quasy experiment dan rancangan penelitian yang digunakan adalah randomized control group only design. Populasi penelitian ini adalah seluruh peserta didik kelas VII SMP Al Madinah Islamic Boarding School yang berjumlah 115 orang. Instrumen yang digunakan berupa tes kemampuan pemecahan masalah matematis. Berdasarkan hasil penelitian diperoleh nilai rata-rata peserta didik kelas eksperimen dan nilai rata-rata peserta didik kelas kontrol . Setelah dilakukan uji hipotesis dengan uji t diperoleh bahwa kemampuan pemecahan masalah matematis yang belajar menggunakan modul ajar dilengkapi LKPD terintegrasi etnomatematika dengan model pembelajaran problem based learning lebih tinggi dari pada kemampuan pemecahan masalah matematis yang belajar menggunakan modul ajar dengan model pembelajaran konvensional.

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