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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
I Nyoman Widana
Prodi Matematika FMIPA Universitas Udayana
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Control & Systems Engineering Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Transportation

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Journal : E-Jurnal Matematika

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PERAMALAN PRODUKSI PADI DI KABUPATEN BADUNG, GIANYAR, DAN TABANAN DENGAN METODE VECTOR AUTOREGRESSION (VAR) I GUSTI AYU MEIGAYONI LESTARI; I WAYAN SUMARJAYA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 10 No 1 (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.i01.p317

Abstract

Rice is one of the staple foodstuffs whose availability is very important for public consumption in Indonesia, especially Bali Province. The three regencies that produce the most rice in Bali they are Badung, Gianyar and Tabanan. This study aims to model, predict, and analyze the relationship between rice production in Badung, Gianyar, and Tabanan Regency from January 2018 to December 2019 using vector autoregression (VAR) method. VAR method is a time series method that can be used to model and predict time series with more than one variable simultaneously. The results of this study, namely the VAR model obtained to predict the amount of rice production in Badung, Gianyar, and Tabanan Regencies is third order VAR (VAR (3)). Based on the forecasting criteria for the mean absolute percentage error (MAPE) in this model, a reasonable forecast is obtained for the rice production variables in Badung and Gianyar regencies, and good forecasting for the rice production variables in Tabanan Regency is obtained. Then, based on the granger causality analysis, it is found that the amount of rice production in Gianyar Regency affects the amount of rice production in Badung and Tabanan Regencies, and the amount of rice production in Badung Regency affects the amount of rice production in Gianyar Regency.
PENENTUAN MODEL PREMI TIDAK KONSTAN PADA ASURANSI DANA PENSIUN LIA JENITA; I NYOMAN WIDANA; DESAK PUTU EKA NILAKUSMAWATI
E-Jurnal Matematika Vol 5 No 1 (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.i01.p115

Abstract

Pension plan is an effort to anticipate the life of old on the day. In the pension program, there are two methods of normal due’s calculation to be paid by the insured each year, the Entry Age Normal method, namely calculation of normal dues with constant premiums and projected unit credit method, namely calculation of normal dues with Premium Increases Each year or is not constant. This paper wants to develop an inconstant premium calculation method with constant premium increase annually. Where the pension plan participants’ age when he joined the pension plan is 19 years and the retirement age on this contract is 55 years, with premium increases of 5% of the normal dues early. The large ratio of premiums is, for dues normal at the age of 19 years until the age of 28 years, but for dues normal at the age of 29 years to the age of 33 years and to normal dues at the age of 34 years old until the age of one year before retirement.
PENENTUAN PREMI DAN CADANGAN PADA ASURANSI PENDIDIKAN DENGAN MEMERHATIKAN PELUANG HIDUP ANAK NI LUH DE SISKA SARI DEWI; 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.p350

Abstract

Education insurance provides services in the field of education. In education insurance, the insured not only gets protection benefits but also education funds. These benefits will be received if they have paid premiums. Insurance companies also need to set the exact amount of policy value. The purpose of this study is to determine the premium and policy value of education insurance by taking into account the child's life chances. In this study, used secondary data from the 2011 Indonesian Mortality Table and illustrated data in the form of education fund data. Premium is obtained using the equivalence principle and policy value is obtained using the prospective method. In the calculation of premiums and policy values for education insurance premiums by taking into account the child's life chances, modifications are made, the amount of education funds multiplied by the child's life chances. The results given in this study are the amount of education insurance premium by taking into account the child's life chances is Rp 6.946.456,00. Policy value increases during the disbursement of education funds and decreases at the end of coverage.
PENENTUAN CADANGAN PREMI UNTUK ASURANSI PENDIDIKAN MADE PUTRI ARIASIH; KETUT JAYANEGARA; I NYOMAN WIDANA; I PUTU EKA N. KENCANA
E-Jurnal Matematika Vol 4 No 1 (2015)
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.2015.v04.i01.p082

Abstract

This aims of this research is determine the insurance premium reserve for education with retrospective calculations and determine the premium reserves who acquired during the period of guarantee for insurance education. This research  observes the premium reserve for persons aged 40 years with a coverage period of 17 years. The secondary data used is an education insurance data product  from the insurance company that issued the insurance product. Premium reserve is determined by using the retrospective calculation, the calculation using the annuity value, net single premium value, net annual premiums, the value of net monthly premium, CSO 1980 mortality and fixed interest rate at 9%. Retrospective calculations produce a faster value backup  and sequentially in each year. The results showed that the premium reserve with retrospective calculation should be close up to the cash price owned by insurance company and must be the same at the end of the insurance period is Rp 7.000.000,00.
PENGARUH PERUBAHAN SUKU BUNGA TERHADAP PERHITUNGAN PREMI NETO TAHUNAN ASURANSI KESEHATAN INDIVIDU YOGI PRADIPTA; I NYOMAN WIDANA; YOHANES BAMBANG SUGIARTO
E-Jurnal Matematika Vol 2 No 3 (2013)
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.2013.v02.i03.p043

Abstract

Health insurance is a type of insurance product that specifically guarantees for health care or treatment. Individual and collective health insurance are the two categories of health insurance. Estimated premiums are determined according to death rate, sex, age, level of interest and administration costs. The interest rate relied on may vary between insurers. This study used three different interest rates for the calculation of annual net premium on individual health insurance based on RP-2000 Male & Female Combined Healthy Table and the Indonesian Mortality Table (TMI) 1999. The results indicated that an increase in interest rate causes a decrease in the premium, and vice versa. This study concludes that changes in interest rate affect the calculation of annual net premium on individual health insurance which are either renewed or not renewed.
PERHITUNGAN NILAI GARANSI MINIMUM MANFAAT KEMATIAN PADA ASURANSI UNIT-LINK NI KOMANG AYU SEDANA DEWI; I NYOMAN WIDANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 7 No 3 (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.i03.p208

Abstract

The guarantee minimum on unit-linked insurance applies only to the most extreme situations of very bad rate of return on the fund’s policyholders. One of the investment guarantees commonly used in unit-link is guaranteed minimum death benefit (GMDB). The final value under unit-linked insurance contracts can be expressed in terms of options that can be calculated using the Black-Scholes-Merton method. The purpose of this study is to determine the effect of age to the guarantee minimum value calculated using the Black-Scholes-Merton method. The calculation of GMDB value based on case simulation in this study resulted that the increasing age of the insured the greater the minimum guarantee value to be obtained.
OPTIMALISASI PENJUALAN KAIN ENDEK DENGAN METODE KARUSH-KUHN-TUCKER (KKT) I GEDE ARIS JANOVA PUTRA; NI MADE ASIH; I NYOMAN WIDANA
E-Jurnal Matematika Vol 4 No 4 (2015)
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.2015.v04.i04.p105

Abstract

This study is conducted to determine the optimal sales value of endek mastuli, endek rangrang, endek saraswati, endek gradasi, and endek alam in Novala Busana Shop and Trans Collection Shop in order to reache maximum advantage by using Karush-Kuhn-Tucker (KKT) method. Karush-Khun-Tucker method can be used to find the optimum solution of the function regardless of whether linear or nonlinear. In the workmanship is KKT method essentially involves the same steps as Lagrange method, from a Lagrangean to be able to calculate the critical points, finding all solutions , and calculate of the value . In this study, most of quarterly show that which must be sold are kind of endek mastuli in reaching the maximum benefit. For other kinds of endek is constantly provided but it is not as much as before. Suggested to the next research could involve more variated variable with more interesting cases
ANALISIS PRODUK ASURANSI UNIT LINK DI INDONESIA I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 8 No 1 (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.i01.p233

Abstract

This paper presents a unit-linked insurance which is a modern insurance. The policyholders will get benefits of insurances and investment. The aim of this research is to analysis of unit link insurance products in Indonesia. Especially to analysis the mortality cost, premium, return, and profit of the product. The method used is a stochastic profit testing method and the results of the study show that mortality cost offered by the three unit link companies selected as the sample of this study are greater than the insurance costs calculated based on the Indonesian Mortality Table. From comparing different unit linked insurance plans, only one plan is sufficient to fund the guarantee. While others have to do a Top-up premium.
PERHITUNGAN PREMI ASURANSI JOINT LIFE DENGAN MODEL VASICEK DAN CIR I MADE WAHYU WIGUNA; KETUT JAYANEGARA; I NYOMAN WIDANA
E-Jurnal Matematika Vol 8 No 3 (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.i03.p260

Abstract

Premium is a sum of money that must be paid by insurance participants to insurance company, based on insurance contract. Premium payment are affected by interest rates. The interest rates change according to stochastic process. The purpose of this work is to calculate the price of joint life insurance premiums with Vasicek and CIR models. The price of a joint life insurance premium with Vasicek and CIR models, at the age of the insured 35 and 30 years has increased until the last year of the contract. The price of a joint life insurance premium with Vasicek model is more expensive than the premium price using CIR model.
MENENTUKAN HARGA KONTRAK BERJANGKA NILAI TUKAR RUPIAH TERHADAP DOLLAR AS MENGGUNAKAN DISTRIBUSI LOGNORMAL GEDE SUMENDRA; KOMANG DHARMAWAN; I NYOMAN WIDANA
E-Jurnal Matematika Vol 4 No 2 (2015)
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.2015.v04.i02.p087

Abstract

The purpose of this study is to determine the fair price of a futures contract for the IDR (Rupiah) against the USD using lognormal distribution simulation. This result is compared with interest rate parity theorem. The first step of this study is to determine the values of the parameters which are optimized using Maximum Likelihood Estimation (MLE). The parameters obtained in the form of the mean () and variance (). Further, parameters obtained are simulated using lognormal distribution to determine the exchange rate simulation (). Then price of future contract is also calculated using interest rate parity theorem. The price of the futures contracts () is determined by lognormal distribution simulated and price of interest rate futures contracts using parity theorem. The results of this study show that future contract price over the fair use lognormal distribution of 12.215 compared to the interest rate parity theorem which 12.400, with the initial contract price () of 12.185.
Co-Authors AGUSTINA PAULA THERESIA PUTRI LAHALLO Ahmad Fitri Ahmad Fitri Anak Agung Gde Raka Dalem ANGGIE EZRA JULIANDA HUTAPEA AYU EKA FANNY DEVI Desak Nyoman Trisnawati Desak Putu Eka Nilakusmawati DESI KURNIA SARI FARREL WILLIEARDAN FEMY AYU ASTITI 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 Ngurah Lanang Wijayakusuma 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 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 ROSITA DAMAYANTHI Ni Made Asih Ni Made Puspawati NI PUTU AYU DEWI CAHYANTARI NI PUTU MIRAH PERMATASARI NI WAYAN ASRI PRADNYANI RAIN FERNANDO BANGUN RIZKA AULIA NOVALINDA SANI SAEFULOH SARAH VERONICA HUTABALIAN SISILIA MARTINA UTAMI AGUSTINI SUNDANIS AGUNG PERTIWI Tjokorda Bagus Oka TRI YANA BHUANA ULFA DIANITA VALERIA TRISNA YUNITA Veronica Celine Chandra VIKY AMELIAH WIMAS ASTARI YUDA YOGI PRADIPTA YOHANES BAMBANG SUGIARTO