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All Journal AlphaMath: Journal of Mathematics Education Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) HISTOGRAM: Jurnal Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Mathvision : Jurnal Matematika EIGEN MATHEMATICS JOURNAL Educandum Jurnal Ilmiah Pendidikan Fraction: Jurnal Teori dan Terapan Matematika Journal of Mathematics, Computation and Statistics (JMATHCOS)
Nurwahidah Nurwahidah
Universitas Islam Negeri Alauddin Makassar
Religion Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Medicine & Pharmacology Physics Social Sciences Transportation

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An Analysis of Mathematics Education Students Errors in Solving PISA Adaptation Test Kurniati MA, Ratnah; Sugiarto, Sigit; Nurwahidah, Nurwahidah; Nur, Ismail M.
AlphaMath : Journal of Mathematics Education Alphamath: Vol. 10, No. 1, May 2024
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Purwokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/alphamath.v10i1.21407

Abstract

The objectives of this research are to determine the errors of mathematics education students in solving the PISA adaptation test. This research is an exploratory study with a qualitative approach that will produce descriptive data in the form of a description of the types and locations of student errors in solving PISA 2022. The subjects in this study were six students of the Program Studi Pendidikan Matematika Program Studi Diluar Kampus Utama (PSDKU) at Pattimura University in Maluku Barat Daya. They were in the second, fourth, and sixth semesters. Five students from each semester were asked to solve a question on the PISA adaptation test level 6, the highest level of the PISA test, as the method for selecting the subject. Six subjects were selected as research subjects out of the 15 who took the test. The conclusions in this study are that the ability of subjects to solve the PISA adaptation test is still very low. Only 3 out of 15 students can answer and provide the right solution for the test, and only 6 out of 15 students can figure out what to do to solve PISA adaptation test level 6. However, among the six students who gave their answers to this problem, there are some who have conceptual errors in the topic of SPLDV (System of Linear Equations with Two Variables). Besides conceptual errors, researchers also found that there is a subject who is incorrect in solving basic arithmetic operations involving parentheses
Portofolio Efisien Model Markowitz dengan Kendala Proporsi Aset Positif dan Target Return yang Ditentukan Nurwahidah; Hasan, Asriani; MA, Ratnah Kurniati
Journal of Mathematics, Computations and Statistics Vol. 6 No. 1 (2023): Volume 06 Nomor 01 (April 2023)
Publisher : Jurusan Matematika FMIPA UNM

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

Abstract

Rational investors tend to diversify their asset for reducing investment risk. Markowitz portfoliomodel can be an investment strategy to minimize risk and maximize return of investment. This studyestablishes the Markowitz model portfolio with positive asset weight constraints and determined targetreturns. Quadratic programming is an approach used to determine the proportion of each stock in theportfolio. Therefore, 5 efficient portfolios with less risk level than individual stocks are obtained. Theresults of the performance measurement stated that the portfolio with asset centered proportion on BYANhad the best performance. It is due to the high expected returns and low level of risk measurement.
Stock Portfolio Optimization Using Single Index Model (SIM) with Exponentially Weighted Moving Average (EWMA) Approach Mutmainna, Ainul; Nurwahidah, Nurwahidah; Anugrawati, Sri Dewi
Eigen Mathematics Journal Vol 7 No 2 (2024): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i2.247

Abstract

The optimal portfolio is a combination of various assets with the aim of reducing investment risk through diversification. This study aims to conduct stock selection using K-Means Clustering and the formation of an optimal stock portfolio from the application of Single Index Model the amount of investment risk in the portfolio using the Exponentially Weighted Moving Average approach, and the amount of portfolio performance. The analysis results show that there are 5 portfolios formed. The best portfolio that can be chosen by investors depends on the investor's risk tolerance. Investors with low risk tolerance can choose Portfolio 3 consisting of ICBP and MIKA stocks with an expected return of 0.01343 and a risk of 0.00714 and a VaR of IDR 2,633,286.63. Investors with moderate risk tolerance can choose Portfolio 1 which consists of ICBP, MIKA, ACES, INCO, ITMG, MAPI, TPIA, AKRA, and MDKA stocks with an expected return of 0.022047, risk of 0.01277 and VaR of IDR 3,083,287.87. Investors with high risk tolerance can choose Portfolio 2 which consists of MIKA, TPIA, and MDKA stocks with an expected return of 0.02504 and a risk of 0.01471 and a VaR of IDR 3,553,167.10.
PEMBENTUKAN PORTOFOLIO GLOBAL MINIMUM VARIANSI TANPA KENDALA LARANGAN SHORT-SELLING DENGAN CLUSTERING K-MEANS Abidin, Nurwahidah; Utami, Arli Magfirah; Hasan, Asriani
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 1 (2025): VOLUME 13 NO 1 TAHUN 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i1.57939

Abstract

Penelitian ini bertujuan untuk membentuk portofolio Global Minimum Variance (GMV) tanpa kendala larangan short-selling dengan klastering K-means untuk mengelompokkan aset berdasarkan kesamaan karakteristik data return. Dalam pendekatan ini, short-selling diizinkan, sehingga solusi dapat diperoleh secara analitik maupun numerik melalui optimisasi kuadratik. Dalam meningkatkan efisiensi portofolio, data return historis dikelompokkan terlebih dahulu menggunakan klastering k-means, sehingga aset dalam portofolio terbentuk dari metode klaster yang lebih terstruktur. Portofolio yang terbentuk sepenuhnya terdiri dari bobot positif meskipun tidak dibatasi oleh larangan short-selling. Hal ini mencerminkan struktur kovarians aset yang mendukung diversifikasi optimal secara alami. Nilai Sharpe ratio yang negatif mengindikasikan bahwa meskipun risiko dapat diminimalkan, efisiensi portofolio dalam memberikan imbal hasil masih rendah akibat dominasi aset defensif dan rendahnya expected return.
QUADRATIC PROGRAMMING: AN OPTIMIZATION TOOL FOR BUILDING GLOBAL MINIMUM VARIANCE PORTFOLIO WITH NO SHORT SALE Nurwahidah, Nurwahidah
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 2 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (526.767 KB) | DOI: 10.30598/barekengvol15iss2pp305-314

Abstract

Quantitative method in portfolio selection is a fascinating issue to make a decision in investment. Portfolio optimization is a very important to manage investment risk. There are many papers dealing with the Markowitz portfolio model, but not all of the papers studied about positive weight portfolio or no short sale constrained portfolio. Positive weight portfolio describes that short sale is allowed for the investor. While, short sale is banned in a certain economic condition due to its ability in decreasing stock market index. Besides, Islamic capital market does not allow speculative transaction such as short selling. Hence, portfolio with no short sale constraint is needed. This study aims to build Global Minimum Variance Portfolio (GMVP) with no short sale constraint. The GMVP with positive asset allocation based on Markowitz model can be built by using quadratic programming with interior point method. The main theory applied in this research is Markowitz portfolio optimization model. Mean and variance of stocks closing price are two things that should be considered in this model. The result shows that the positive weight of GMVP includes 0% of ADRO shares; 2, 65% of ANTM shares; 0% of CTRA shares; 30,27% of EXCL shares; 37,21% of ICBP shares; 3,37% of INCO shares; 13,89% of KLBF shares; 0% of PGAS shares; and 12,61% of PTBA shares.
Convolution and Correlation Forms for the Offset Coupled Fractional Fourier Transform Nasrullah; Wahyuni Ekasasmita; Nurwahidah
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 2 (2025): VOLUME 13 NO 2, 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i2.60588

Abstract

This work presents convolution and correlation in offset coupled fractional Fourier transform. The offset coupled fractional Fourier transform can be regarded as a generalized version of the coupled fractional Fourier transform. Various properties including this work like inversion formula and Parseval are studied in general and in detail for the offset coupled fractional Fourier transform. In addition, the relationship with two-dimensional Fourier transform and the offset coupled fractional Fourier transform.
Metode Interpolasi Linear dalam Analisis Suku Bunga Kredit Berdasarkan Pembayaran Angsuran: Studi Kasus Pembiayaan Mobil New Agya 1.2 E M/T Abidin, Nurwahidah; Sri Dewi Anugrawati; Asriani Hasan
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 12 No 2 (2024): VOLUME 12 NO 2 TAHUN 2024
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v12i2.53985

Abstract

An interest rate is the price or amount of additional payment paid by the borrower to the lender. The interest rate is usually not shown in the loan instalment brochure. This study aims to analyse the effective interest rate of vehicle financing loans. The method used to determine the effective interest rate in this study is linear interpolation. The calculated interest rates are flat interest rates and effective interest rates. Determining the most profitable car financing alternative for customers can be seen from the lowest interest rate. This study analyses the case of New Agya 1.2 E M/T car price through Kalla Toyota Palopo branch and credit through Mandiri Utama Finance at the end of 2023. Based on the results of data processing using the linear interpolation method, it is found that the higher the instalment payment and the smaller the tenor offered, the lower the interest rate.
Co-Authors Alvioni Bani Anugrawati, Sri Dewi Asriani Hasan Asriani Nur Chatarina Umbul Wahyuni Dea Dwi Anggarini Fita Fita Ida Ayu Putu Sri Widnyani Kurniati, Ratnah Mutmainna, Ainul Nasrullah Nawawi, M. Ichsan Nur, Ismail M. Risnawati Ibnas Ryaas Rasyid Febrianto Sainal Abidin Enal Sigit Sugiarto Sulfiyah Sulfiyah Syahrul Alam Syah Utami, Arli Magfirah Wahyuni Ekasasmita