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All Journal Jurnal Kimia (Journal of Chemistry) Jurnal Matematika Buletin Udayana Mengabdi E-Jurnal Matematika Bumi Lestari BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Fundamental Mathematics and Applications (JFMA)
I Nyoman Widana
Prodi Matematika FMIPA Universitas Udayana
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Transportation

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PENENTUAN CADANGAN PREMI DENGAN PERHITUNGAN PROSPEKTIF UNTUK ASURANSI PENDIDIKAN ANGGIE EZRA JULIANDA HUTAPEA; I NYOMAN WIDANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p193

Abstract

The purpose of this research is to get formula to calculate premium reserve value with prospective calculation for education insurance. This study examines the value of premium reserves for people aged 40 years with a coverage period of 17 years. In determining the value of premium reserve using the prospective calculation. It will be started by completing the value of the Indonesian Mortality Table 2011 using the interest rate of 6.5%, calculating the cash value of the benefit, the annuity value, the net annual premium value, and the net monthly premium value. The results of this study indicate that the value of premium reserves with a prospective calculation for benefits paid at the end of the year and the premium reserve value for benefits paid at the time the insured dies, its value with the value of the cash price set by the insurer at the end of year- 17 on the insurance contract.
PERBANDINGAN METODE SEASONAL ARIMA DAN METODE EXPONENTIAL SMOOTHING DALAM MERAMALKAN KUNJUNGAN WISATAWAN MANCANEGARA KE BALI NI PUTU AYU DEWI CAHYANTARI; I WAYAN SUMARJAYA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 10 No 2 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2021.v10.i02.p321

Abstract

Tourism is one of the main sectors in increasing a country's economy. For this reason, an estimate of tourist visits to Bali is needed so that it can be used as a benchmark for development and development in the tourism sector. Forecasting the number of foreign tourists coming to Bali using the Seasonal ARIMA method produces an MSE value of 1,250,276,526. While the Winter's Exponential Smoothing method obtained 1,291,150,258. The results of the forecast for the number of foreign tourists coming to Bali in 2020 using the SARIMA method are 588,980, 653,740, 659,817 (January-March 2020).
PENERAPAN METODE BAYES DALAM MENGESTIMASI PREMI RISIKO PADA ASURANSI PENYAKIT KRITIS SISILIA MARTINA UTAMI AGUSTINI; I NYOMAN WIDANA; NI KETUT TARI TASTRAWATI
E-Jurnal Matematika Vol 9 No 4 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i04.p305

Abstract

The high number of critical illness cases and the rising medical cost affect the number of insurance claimed. It can be a problem for the insurance company in estimating future claim trend to decide the risk premium cost, so that we need a method to solve the problem which is called Empirical Bayes Credibility Theory (EBCT). Based on that information, the goal of this research is estimating the risk premium cost for critical illness cases using EBCT method. In this research, a large simulation of the expected claim data of critical illness policyholders is used, which are grouped by age and gender. In processing data by applying the EBCT method, the credibility factor is determined first, then the size of the risk premium can be estimated, with the calculation results obtained by a different estimate of the risk premium for each age group based on gender.
POLICY VALUES ASURANSI JOINT LIFE SUAMI ISTRI DENGAN METODE PROSPEKTIF I WAYAN SANDY BAYU NUGRAHA; KETUT JAYANEGARA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 8 No 2 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i02.p243

Abstract

Policy values are funds be held by insurance company that will be used for unexpected claims from insurance participants. The purpose of this work is to calculate constant annual premiums with and without pure endowment on joint life couple insurance, then determine and calculate formula policy values with prospective method. The policy values ??in joint life couple insurance, are affected by premium payments. Policy values ??benefit at the end of the 1st year until the end of the 11th year will increase, because the money received by insurance company from premium payments is more than the sum insured to be paid. Policy values ??benefit at the end of the 11th year until the end of the 66th year will decrease because there are no more premium payments.
PENENTUAN CADANGAN PREMI ASURANSI DWIGUNA MENGGUNAKAN METODE ILLINOIS BERDASARKAN HUKUM MORTALITAS WEIBULL AYU EKA FANNY DEVI; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 10 No 4 (2021)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2021.v10.i04.p347

Abstract

Endowment insurance provides protection benefit and saving benefits. In the endowment insurance the insured party (insurance participant) must be paid the premiums. In addition to premiums, there is also policy value, which is sum of money that must be collected by the company in preparation for claim payment. The purpose of this study was to determine calculation of policy value in endowment insurance using Illinois method based on Weibull Mortality Law. In this study used secondary data from United States Life Table in the form of mortality probability data. Calculation value using Weibull mortality law, then the policy value calculated by Illinois method. The result of this study is policy value using Illinois Method based on Weibull Mortality Law is bigger than policy value using Illinois method without Weibull mortality law in the first year until year 20th. After year 20th, the policy value using Illinois method based on Weibull mortality law is smaller than policy value using Illinois method without Weibull mortality law, while at the end of the insurance year which is year 30th, the policy value with or without Weibull mortality law generates the same value.
ASURANSI JIWA ENDOWMENT DENGAN PENGEMBALIAN PREMI MENGGUNAKAN SIMULASI MONTE CARLO MADE EDI HENDRAWAN; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 8 No 2 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2019.v08.i02.p240

Abstract

Premium refunds are a sum of the money returned to the insured. The purpose of this study was to compare the premium of endowment life insurance with premium refund on constant interest rates numerical calculations and using Monte Carlo simulations. Gompertz distribution was used to obtain the mortality rates. The results showed that the premiums generated by Monte Carlo simulations for insurance participants issued under 45 years will be more expensive than the ones which were generated by numerical calculations. However, the premiums generated by Monte Carlo simulations for insurance participants issued above 45 years will be cheaper than the ones which were generated by numerical calculations.
MENENTUKAN PORTOFOLIO OPTIMAL MENGGUNAKAN MODEL CONDITIONAL MEAN VARIANCE I GEDE ERY NISCAHYANA; KOMANG DHARMAWAN; I NYOMAN WIDANA
E-Jurnal Matematika Vol 5 No 3 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2016.v05.i03.p125

Abstract

When the returns of stock prices show the existence of autocorrelation and heteroscedasticity, then conditional mean variance models are suitable method to model the behavior of the stocks. In this thesis, the implementation of the conditional mean variance model to the autocorrelated and heteroscedastic return was discussed. The aim of this thesis was to assess the effect of the autocorrelated and heteroscedastic returns to the optimal solution of a portfolio. The margin of four stocks, Fortune Mate Indonesia Tbk (FMII.JK), Bank Permata Tbk (BNLI.JK), Suryamas Dutamakmur Tbk (SMDM.JK) dan Semen Gresik Indonesia Tbk (SMGR.JK) were estimated by GARCH(1,1) model with standard innovations following the standard normal distribution and the t-distribution.  The estimations were used to construct a portfolio. The portfolio optimal was found when the standard innovation used was t-distribution with the standard deviation of 1.4532 and the mean of 0.8023 consisting of 0.9429 (94%) of FMII stock, 0.0473 (5%) of  BNLI stock, 0% of SMDM stock, 1% of  SMGR stock.
PENENTUAN CADANGAN PREMI DENGAN METODE PREMIUM SUFFICIENCY PADA ASURANSI JIWA SEUMUR HIDUP JOINT LIFE NI PUTU MIRAH PERMATASARI; I NYOMAN WIDANA; KARTIKA SARI
E-Jurnal Matematika Vol 5 No 3 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2016.v05.i03.p127

Abstract

The aim of this research was to get the formula of premium reserves through the premium sufficiency method. Premium reserve is the amount of fund that is collected by the insurance company in preparation for the claim’s payment. Premium sufficiency method is gross premium calculation. To construct that formula, this research used Tabel Mortalitas Indonesia (TMI) 2011, interest rate 2.5% and cost of alpha %. Based on simulation result in men premium reserve value of age 1 of 56 years propotional with insured periods, but after56 years enhancement of premium reserve value.
PERBANDINGAN PROFIT TESTING MODEL DETERMINISTIK DAN STOKASTIK PADA ASURANSI UNIT LINK VALERIA TRISNA YUNITA; I NYOMAN WIDANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 7 No 2 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i02.p203

Abstract

Profit testing is a method to find out the potential loss or gain of unit link life insurance product. Unit-link life insurance is a combination of life insurance and investment. The aim of this research was to determine the potential benefits or losses of unit-linked life insurance products using a deterministic model and stochastic model. The calculation result using these model for a policy issued to a life aged 35, 45, and 55 and the benefit is paid till age 99 showed that the profit which insurer can claim only for insurance issued to a life age 25 years old.
PREMI TUNGGAL ASURANSI JIWA SEUMUR HIDUP UNIT LINK DENGAN GARANSI MINIMUM DAN NILAI CAP MENGGUNAKAN METODE POINT TO POINT JULIANTARI JULIANTARI; I WAYAN SUMARJAYA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 6 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2017.v06.i01.p144

Abstract

Unit-linked whole life insurance is an insurance that combines traditional whole life insurance with modern insurance unit-links which provide both protection and investment. One of indexing method for calculating premium of unit-linked insurance is point to point method. The data used in this study was the closing price of PT. Astra Agro Lestari, Indonesia Tbk and The mortality table used in this research is Indonesia’s Mortalita Table III Men. It was obtained that the net single premium for whole life insurance unit-linked for the insured aged 45 years is amounted to Rp. 350.324,-
Co-Authors AA Sudharmawan, AA AGUSTINA PAULA THERESIA PUTRI LAHALLO Ahmad Fitri Ahmad Fitri Anak Agung Gde Raka Dalem ANGGIE EZRA JULIANDA HUTAPEA AYU EKA FANNY DEVI Chandra, Veronica Celine Damayanti, Ni Kadek Vivin Desak Nyoman Trisnawati Desak Putu Eka Nilakusmawati DESI KURNIA SARI FARREL WILLIEARDAN FEMY AYU ASTITI Fitria, Ita GEDE SUMENDRA HANNY PANJAITAN I GEDE ARIS JANOVA PUTRA I GEDE BAGUS PASEK SUBADRA I GEDE DICKY ARYA BRAMANTA I GEDE ERY NISCAHYANA I GEDE PUTU MIKI SUKADANA I GUSTI AGUNG GEDE DWIPAYANA I GUSTI AYU KOMANG KUSUMA WARDHANI I Gusti Ayu Made Srinadi I GUSTI AYU MEIGAYONI LESTARI I GUSTI AYU VIDYARA VRAJESHVARI I Made Eka Dwipayana I MADE WAHYU WIGUNA I Nengah Artawan I Nengah Simpen I Putu Eka Nila Kencana I Putu Winada Gautama I WAYAN SANDY BAYU NUGRAHA I Wayan Sumarjaya Ida Ayu Eka Trisna Putri Ida Ayu Gede Widihati JENNE LALI TEWO JULIANTARI JULIANTARI K. Sari Kartika Sari Ketut Jayanegara Komang Dharmawan L. G. Astuti LIA JENITA LUH PUTU IDA HARINI MADE EDI HENDRAWAN MADE PUTRI ARIASIH NANDA NINGTYAS RAMADHANI UTAMI NI KETUT AYU MURNIASIH Ni Ketut Tari Tastrawati NI KOMANG AYU SEDANA DEWI NI KOMANG SUKANASIH NI LUH DE SISKA SARI DEWI NI LUH PUTU RATNA DEWI NI LUH PUTU RATNA DEWI NI LUH PUTU SRI WAHYUNI Ni Luh Putu Suciptawati NI LUH ROSITA DAMAYANTHI Ni Made Asih Ni Made Puspawati NI PUTU AYU DEWI CAHYANTARI NI PUTU MIRAH PERMATASARI NI WAYAN ASRI PRADNYANI Nur Ahniyanti Rasyid RAIN FERNANDO BANGUN RIZKA AULIA NOVALINDA SANI SAEFULOH SARAH VERONICA HUTABALIAN SISILIA MARTINA UTAMI AGUSTINI Sulma, Sulma SUNDANIS AGUNG PERTIWI syamsuddin Toaha Tjokorda Bagus Oka TRI YANA BHUANA ULFA DIANITA VALERIA TRISNA YUNITA VIKY AMELIAH Wijayakusuma, I Gusti Ngurah Lanang WIMAS ASTARI YUDA Winada Gautama, I Putu YOGI PRADIPTA YOHANES BAMBANG SUGIARTO