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Penggunaan Turunan Parsial untuk Analisis Risiko Keuangan dan Ekonomi Tiara Febrianti Br Panjaitan; Valeri Agatha Br Sihombing; Vauline Christin Octavia Siregar
Jurnal Riset Ekonomi dan Akuntansi Vol. 3 No. 1 (2025): JURNAL RISET EKONOMI DAN AKUNTANSI
Publisher : Institut Teknologi dan Bisnis (ITB) Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54066/jrea-itb.v3i1.2777

Abstract

Partial derivatives play an important role in analyzing the dynamics of financial and economic systems involving many variables. This research explores the application of partial derivatives in financial risk models, including calculating portfolio sensitivity, volatility analysis, and estimating value at risk. Apart from that, it is also applied to economic models to analyze the impact of changes in economic variables on aggregate output. The case studies involve the use of partial derivatives in the Black-Scholes model for financial options and the IS-LM model in macroeconomics. The research results show that this mathematical approach increases prediction accuracy and helps strategic decision making.
Integral Numerik: Teknik Analitik dan Numerik dalam Analisis Gelombang dan Osilasi Erguna Eliandro Junior Tarigan; Alfidorino Flapianus bukit; Rizky Iqna Fitria; Vauline Christin Octavia Siregar
Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 2 No. 4 (2024): Desember: Pentagon : Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/pentagon.v2i4.280

Abstract

Mathematically, in calculating oscillations and waves, it can be used using analytical and numerical techniques. For simple movements, numerical techniques are easier to perform than analytical techniques. Because, apart from the difficulty of using analytical techniques, the calculations carried out are also complex. The actual value of a wave or oscillation can be determined using analytical techniques, while numerical techniques are simply calculations carried out close to the analytical value. The aim of this paper is to analyze analytical and numerical techniques in wave and oscillation analysis. The type of research used in this research is based on qualitative research. The results obtained in determining trigonometric integrals require a calculation that can use analytical and numerical techniques. Numerical techniques are calculations that are almost correct or close to the value. However, to get the actual value correctly, analytical calculations are needed. Analytical calculations are quite difficult to do, but need to be done to serve as a reference. The conclusion drawn is that in trigonometric integrals in wave and oscillation analysis, numerical calculation techniques and analytical techniques can be used. When using numerical techniques, you can use formulas , whereas calculations using analytical techniques can use formulas.