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Journal : Journal of Mathematics UNP

Optimasi Produksi Tanaman Padi dan Jagung di Kabupaten Pesisir Selatan Menggunakan Metode Fungsi Penalti Eksterior Emmelia Safani; Devni Prima Sari
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (278.028 KB) | DOI: 10.24036/unpjomath.v5i3.10593

Abstract

Abstract — Planted area, harvested area, and the average production of rice and maize in Pesisir Selatan Regency in 2010-2018 fluctuated, thus affecting agricultural conditions and the economy of the community and government. Therefore, it is necessary to have an optimal planting area, harvest area, and average production of rice and maize. The purpose of this study was to determine the form of a mathematical model and the results of the solution to optimize the production of rice and maize in Pesisir Selatan Regency with the exterior penalty function method. This research method explains the basic concept of the n-order polynomial regression method for the mathematical model of nonlinear programming problems and solving nonlinear programming problems with the exterior penalty function method. The exterior penalty function method converts a constrained nonlinear problem into a constrained one. The data used are secondary data obtained from the publication of the Puasat Statistics Agency for Pesisir Selatan Regency in 2010-2018. The optimal result of the exterior penalty function method for rice plant area is 66.667 Ha, the planted area of maize is 16.667 Ha, and the average total production of rice and maize is 236,56 Kw/Ha. Keywords — Production of Rice and Corn, Polynomial Regression Method, Exterior Penalty Function Method.
Perhitungan Dana Tabarru’ Asuransi Syariah Menggunakan Hukum Mortalita Makeham dengan Metode Cost of Insurance Riri Indriani; Devni Prima Sari
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (398.93 KB) | DOI: 10.24036/unpjomath.v5i2.8926

Abstract

Abstract  — Tabarru’ funds in Islamic insurance is a number of funds that are used to help each other between insurance participants. In the fund management mechanism with savings element, Tabarru’ funds have a percentage of payment of 5%. Whereas in the management of funds without savings, it is not known how much the percentage must be paid to the company, so that it will cause confusion for customers. In this research, we will discuss how to calculate the tabarru’ funds using the cost of insurance method. This calculation involves the probability of death based on the Makeham mortality table. Makeham Mortality Tables can be arranged by estimating parameters using the least squares method. obtained parameters A, B and C, respectively for men, namely 0.05822, 0.00158 and 1.08394, while for women namely 0.04418, 0.00152 and 1.08400. So the amount of tabarru’ funds  that must be paid by someone aged x that is,Keywords — Tabarru’ funds, Makeham Mortality Law, Least Squares Method, Cost of Insurance Method
ANALISIS K-MEDOIDS CLUSTERING PADA EPISENTRUM GEMPA BUMI DI PROVINSI SUMATERA BARAT DAN SEKITARNYA Jeri Jefrianto; Devni Prima Sari
Journal of Mathematics UNP Vol 7, No 2 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (396.406 KB) | DOI: 10.24036/unpjomath.v7i2.12609

Abstract

Sumatra is located along the confluence line of the Indo-AustralianPlate and the Eurasian plate, which has high seismic activity. Theisland of Sumatra is prone to earthquakes which pose a considerabledanger, and one of the provinces on this island that is prone toearthquakes is the Province of West Sumatra. So it is necessary tostudy each earthquake characteristic in the Province of West Sumatraand its surroundings using K-Medoids Clustering analysis.Earthquake data used is tectonic earthquake data from December 1970to September 2021 with attributes: latitude, longitude, and magnitude.In this study, several clusters were tried, namely K=2, K=3, K=4, andK=5 using the Euclidean Distance. The most optimum cluster is K=2of 0.448072 using the Silhouette coefficient validation test, theepicenter was at 99.290E and -1.050S with a magnitude of 5.38 on theSR for the first group and the second group produced an epicenter at101.150E and -3.440S with a magnitude of 5.36 SR.
Analisis Risiko Investasi Saham Tunggal Syariah dengan Value at Risk (VaR) Menggunakan Simulasi Monte Carlo Afifah Humayrah; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13375

Abstract

Investment is an activity to hold a number of funds with the aim of gaining future profits, one of which is by investing in the Islamic capital market. Islamic capital market instruments that can be used are shares. Stocks are known to have the characteristics of high risk and high return, not only bringing high profits but also carrying high risks. One of the measuring tools that can be used to measure risk is Value at Risk because it can estimate the maximum possible loss that can occur on a single asset at a certain level of confidence. The purpose of this study is to estimate the optimal risk obtained by using Value at Risk with Monte Carlo Simulation. The data used in this study is the closing price of shares of PT Telekomunikasi Indonesia, Tbk which is listed in the Jakarta Islamic Index (JII). Based on research using initial investment funds of 100,000,000.00, IDR the value of Value at Risk is -3,620,898.95 IDR at an error level of 1%, -2,709,707.70 IDR at an error level of 5% and -2.120.418.85 IDR at an error level of 10. %.
ANALISIS METODE ARIMA PADA PERAMALAN NILAI EKSPOR SUMATERA BARAT irwandi irwandi; Devni Prima Sari
Journal of Mathematics UNP Vol 6, No 4 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (890.393 KB) | DOI: 10.24036/unpjomath.v6i4.12262

Abstract

The movement of the export value of the province of West Sumatra every month experiences a fluctuating condition and tends to decline. Exports are very important for the economy in a region. The decline in the value of exports allows a decrease in the amount of production of goods which can result in weakening economic growth in the region. The non-constant export value needs to be analyzed so that it can be used as an indicator for the West Sumatra government in taking policies that maximize export value, such as increasing competence and skills to produce products that are able to compete in the export market. So it is necessary to forecast the export value of the province of West Sumatra so that the government can take some planning in the future. This study aims to determine the form of the forecasting model and the results of forecasting the export value of West Sumatra for the period January 2021 to December 2021. The forecasting method used is the ARIMA method. The results show that the ARIMA (2,1,0) model is a suitable model for predicting the export value of West Sumatra, with the model Y_t=0,00131+0,5265Y_(t-1)+0,1705Y_(t-2)+0,3030Y_(t-3)+e_t.
Analisis Perhitungan Aktuaria Dana Pensiun Menggunakan Metode Projected Unit Credit Putriyana Nursal; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.12966

Abstract

The retired fund program is a program created by the government to ensure the needs and welfare of workers in old age, one of which is government employees. The problem of retired government employees in Indonesia is one of the burdens for the government, this is because retired funds are carried out using a pay as you go system. Retired fund management can also be managed using a fully funded system, where the implementation of a fully funded system can be carried out using the Projected Unit Credit Constant Dollar and Constant Percent methods. The calculation results show that the normal contribution using the Constant Percent method has increased significantly before entering retirement age compared to the Constant Dollar method. The amount of actuarial obligation using the Constant Dollar method is greater than using the Constant Percent method. Retired benefits obtained by retirees using the Constant Dollar method are greater than the Constant Percent method.
Cadangan Premi Asuransi Jiwa Berjangka dan Asuransi Jiwa Dwiguna Menggunakan Metode Premium Sufficiency Gusvira Widuri; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13019

Abstract

Life insurance is the payment of money given from the death of insured to the heirs according to the provisions of the polis. The are four types of life insurance, namely whole life insurance, term life insurance, and endowment life insurance. The amount of compensation obtained depends on the amount of premium paid. The benefit of paying premiums is as preparation for the payment of the sum assured. The company needs to prepare a reserve fund called a premium reserve which is needed to cover claims of insurance participants that can occur at any time. There are several ways to calculate premium reserves, one of which can be used is the premium sufficiency method. Finding out how to calculate premium reserves using the premium sufficiency approach is the goal of this study. The calculation of reserves using the premium sufficiency method uses a gross premium which can provide a clear indication of the total cost required and the amount of reserves that the insurance company must provide. 
Kajian Efektivitas Metode Branch and Bound dan Metode Cutting Plane dalam Optimasi Jumlah Produksi di BSL Store Tri Rahmayani; Devni Prima Sari
Journal of Mathematics UNP Vol 7, No 2 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (289.232 KB) | DOI: 10.24036/unpjomath.v7i2.12659

Abstract

BSL Store is one of the Small and Medium Enterprises (SME) in Tangerang Regency. The UKM produces various types of footwear, including leather shoes, sports shoes, casual shoes, and sandals. In order to increase sales profits and avoid product buildup resulting from a decline in market demand. BSL Store needs to optimize the amount of production to maximize profits or minimize losses by using the Branch and Bound and Cutting Plane methods in solving linear integer programming problems. Based on the research, we get the same results for Branch and Bound method and the Cutting Plane method. BSL Store must produce 531 pairs of leather shoes, 744 pairs of sports shoes, 676 pairs of casual shoes, and 826 pairs of sandals get an optimum profit of Rp.62,080,000.00 it means that these two methods can be used by BSL Store in determining the amount of production BSL Store.
Analisis Sensitivitas Model Black-Litterman Menggunakan Treynor Ratio pada Portofolio Saham Puja Ermiati; Devni Prima Sari
Journal of Mathematics UNP Vol 7, No 1 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (638.47 KB) | DOI: 10.24036/unpjomath.v7i1.10370

Abstract

Investment is an activity that can not separate from return and risk, so that forming portfolio is important to risk minimizing and profit optimizing. One of way to optimizing portfolio is using Black-Litterman model. This model is model that combine equilibrium return by CAPM eith investor’s views about return an asset. Purpose of this research are to form Black-Litterman model with tau calibration and measure the best portfolio performance with treynor ratio. This research used secondary data stock in LQ-45 index during August 2019-January 2020. Selecting portfolio by selecting high return expected CAPM are CPIN, WIKA, ADRO and CTRI. Forming portfolio using Black-Litterman model by  calibration so obtain the best measure performance by Treynor Ratio are 0,12142 with =1 and potfolio return 0,26445
Kajian Analisis Faktor pada Faktor yang Mempengaruhi Produksi Padi di Nagari Cupak Kabupaten Solok Rohadatul Aisy; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14213

Abstract

Solok district is the largest rice producing center in West Sumatra, known as "Bareh Solok", with most of the population working as farmers. Increased production is influenced by factors such as land area, labor, seeds, fertilizers, capital, pesticides, and irrigation. These seven factors are interconnected and related to each other, so the purpose of this study was to determine the factors that influence rice production in Nagari Cupak, Gunung Talang District, Solok Regency. The type of research used is applied research. This study has a sample of 89 respondents. Furthermore, in the analysis using factor analysis method. The results of this study indicate that the first factor consists of land area, labor, seeds and pesticides. The second factor consists of fertilizer, capital and pesticide variables