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All Journal Jambura Journal of Mathematics MEJ (Mathematics Education Journal) KUBIK: Jurnal Publikasi Ilmiah Matematika JURNAL LENTERA AKUNTANSI Assets : Jurnal Ilmiah Ilmu Akuntansi, Keuangan dan Pajak Polinomial : Jurnal Pendidikan Matematika Economics, Business, Management, & Accounting Journal Jurnal Pengabdian Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS)
Paiz Jalaludin
Universitas Darunnajah
Religion Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Physics Social Sciences

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ANALISIS PREMI TAHUNAN INDIVIDU DENGAN MANFAAT YANG DIBAYARKAN PADA AKHIR TAHUN KEMATIAN Krishna Prafidya Romantica; Paiz Jalaludin
JURNAL LENTERA AKUNTANSI Vol. 9 No. 1 (2024): JURNAL LENTERA AKUNTANSI, MEI 2024
Publisher : POLITEKNIK LP3I JAKARTA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34127/jrakt.v9i1.1157

Abstract

Life insurance is an insurance product that provides guarantees in the form of benefits to the insured's family if the insured dies in the future. The amount of this benefit is influenced by the amount of the annual premium paid by the insurer to the insured. The researcher will calculate the amount of the individual's annual premium on endowment insurance. The researcher will use a fixed interest rate to calculate the discount factor and the Gompertz distribution approach to calculate the insurer's chance of survival. Previously, the researcher will estimate the Gompertz distribution parameters using the Maximum Likelihood Method (MLE) based on the 2011 Indonesian Mortality Table (female). Furthermore, the researcher will calculate the insurer's chance of survival using the Gompertz distribution to obtain the actuarial present value of the initial term annuity and the actuarial present value of the endowment life insurance. In addition, the researcher will calculate the comparison of the present value of the endowment life insurance to the present value of the life annuity. The last step is that the researcher will multiply the comparison of this present value by the benefits received to calculate the amount of the individual's annual premium. The calculation results show that the comparison of the present value of dual-purpose life insurance to the present value of a living annuity is getting smaller as the policy coverage period increases. As a result, the amount of the individual's annual premium will also be smaller. This shows that the amount of the annual premium is influenced by interest rate factors, the insurer's life chances, and the length of the coverage period.
PERHITUNGAN HARGA OPSI EROPADENGAN METODE TRINOMIAL PADA PERUSAHAAN MITSUBISHI Paiz Jalaludin; Alrafiful Rahman; Ani Nuraini; Royyan Amigo
JURNAL LENTERA AKUNTANSI Vol. 9 No. 1 (2024): JURNAL LENTERA AKUNTANSI, MEI 2024
Publisher : POLITEKNIK LP3I JAKARTA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34127/jrakt.v9i1.1179

Abstract

Investment is an important instrument in the financial market. The investment objective is to obtain large profits with minimum capital. The trend that is currently developing is that investors are not only interested in investing in real assets, but they have great attention to investing in financial assets such as shares. However, to gain profits, investors must face risk and uncertainty. Among the solutions to reduce these risks are derivatives. Stock options are one of the widely used derivative products. An important instrument in stock options is the method of determining option prices according to the type of option. European option prices can be determined using several methods, namely the Black-Scholes method, binomial method, and trinomial method. This research aims to implement the trinomial method in determining European option prices, both Call options and Put options on Mitsubishi UFJ Financial Group (MUFG) shares. The results of determining option prices using the trinomial method are then compared with the results of the Black-Scholes method which aims to analyze the convergence of the two. The research results show that the trinomial method can be used to determine stock option prices for the Mitsubishi company more flexibly than the Black-Scholes method. In addition, the results show that the trinomial model converges to the Black-Scholes method.
Backtesting of the Value-at-Risk Based on GARCH Model (VaR-GARCH) in Measuring Stock Market Risk Mufaridho, Lailatul Maziyah Wildan; SH, Khaerun Nisa; Jalaludin, Paiz; Pratama, Muhammad Isbar
Journal of Mathematics, Computations and Statistics Vol. 9 No. 1 (2026): Volume 09 Issue 01 (March 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/eyqd4722

Abstract

Accurate market risk measurement is a crucial aspect of stock portfolio management, particularly in volatile market conditions. One commonly used method for measuring market risk is Value-at-Risk (VaR). However, the conventional VaR approach often fails to capture the dynamics of volatile volatility. Therefore, this study aims to measure stock market risk using a GARCH-based Value-at-Risk approach and test the model's reliability using the Kupiec Proportion of Failures Test. The data used are daily stock price data processed into logarithmic returns. Return volatility is estimated using the GARCH(1,1) model, and the VaR value is calculated based on conditional volatility at a 5 percent significance level. VaR backtesting is then performed to identify violations and evaluate the model's validity using the Kupiec Test. The results of the study show that out of 653 observations, there were 27 VaR violations, with a Kupiec statistic value of 1.0909 and a p-value of 0.2963. A p-value greater than the significance level indicates that the VaR–GARCH model is statistically valid and able to measure market risk well. This study concludes that the VaR–GARCH approach is a reliable method in measuring stock market risk and can be used as a supporting tool in investment decision-making and risk management.
Co-Authors Alrafiful Rahman Amigo, Royyan Andirasdini, Indah Gumala Ani Nuraini Ani Nuraini Dewi Susanawati Hamdi At-Taibi, Faisal Jahrani, Siti Krishna Prafidya Romantica Lailatul Maziyah Wildan Mufaridho Muhammad Isbar Pratama Rahman, Alrafiful Romantica , Krishna Prafidya Romantica, Krishna Prafidya Royyan Amigo SH, Khaerun Nisa Susanawati, Dewi