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All Journal Jurnal Matematika Buletin Udayana Mengabdi E-Jurnal Matematika Prosiding Seminar Nasional MIPA Jurnal Matematika Sains dan Teknologi
Komang Dharmawan
Prodi Matematika FMIPA Universitas Udayana
Agriculture, Biological Sciences & Forestry Education Mathematics Other

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PERBANDINGAN KEKONVERGENAN METODE CONDITIONAL MONTE CARLO DAN ANTITHETIC VARIATE DALAM MENENTUKAN HARGA OPSI CALL TIPE BARRIER NI LUH PUTU KARTIKA WATI; KOMANG DHARMAWAN; KARTIKA SARI
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.p214

Abstract

Barrier option is an option where the payoff price depends on whether or not the stock price passes the barrier during its life time. The aim of the research is to compare the convergence between conditional Monte Carlo and antithetic variate methods in determining the call barrier option price. The call barrier option price is influenced by several factors: initial stock price, stock volatility, risk-free interest rate, maturity, strike price and barrier. The calculation of call barrier option price is obtained by simulating stock price movements with different simulation number. Based on the simulation result, it is obtained that the calculation of call barrier option price with conditional Monte Carlo method converge faster than the antithetic variate method.
POTRET KESEJAHTERAAN RAKYAT DI PROVINSI BALI MENGGUNAKAN METODE CHERNOFF FACES I WAYAN WIDHI DIRGANTARA; KOMANG GDE SUKARSA; KOMANG DHARMAWAN
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.p040

Abstract

Chernoff Faces method is a graphical method of visualization techniques to present data with many variables in the form of a cartoon face which can be determined by 20 parameters or less. In this research it was shown how the Chernoff Faces method was used to see welfare of the people in the province of Bali and Bali's nine regencies. To pair the variables and Chernoff’s facial features, then we used  Principal Component Analysis and survey to make the faces look more human. The result from 18 indicators of welfare of the people in the province of Bali, only 8 indicators were not really well. It was obtained too that Tabanan was the most prosperous regency and Karangasem was the lest prosperous regency.
PENERAPAN MODEL EGARCH PADA ESTIMASI VOLATILITAS HARGA MINYAK KELAPA SAWIT YOSEVA AGUNG PRIHANDINI; KOMANG DHARMAWAN; KARTIKA SARI
E-Jurnal Matematika Vol 4 No 3 (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.i03.p102

Abstract

Good news and bad news (commonly known as the asymmetric effect) on the price of palm oil, has been the grounds of palm oil price volatility. Estimation of volatility needs to be conducted for the purposes of advance financial analysis namely computation of the risk factors, portfolio, futures, etc. In addition, the data of palm oil price is heterscedastical. The heteroscedasticity needs to be overcome in order to generate a sound estimation of volatility. One of the forecasting models for heteroscedastical data and that capable of explaining the good news and bad news over the commodity’s price is the Exponential Autoregressive Conditional Heterocedastic (EGARCH) model.The result of this research, the best of EGARCH models was EGARCH(1,1) with t-distribution. That base of AIC and SIC value.
PENENTUAN NILAI PREMI ASURANSI PERTANIAN PADA KOMODITAS KOPI BERBASIS HARGA INTERNASIONAL MENGGUNAKAN MODEL MEAN REVERSION DENGAN LOMPATAN INTAN LESTARI; KOMANG DHARMAWAN; DESAK PUTU EKA NILAKUSMAWATI
E-Jurnal Matematika Vol 6 No 4 (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.i04.p175

Abstract

Agricultural insurance with the interantional price is new insurance in Indonesia. The international insurance premium is given if the international prices lower than the determined trigger value. The purpose of this study is to presents the steps needed to determine the premium value of the agricultural insurance. The steps are to search data of the international prices and local prices commodity coffee, calculate the return of both data, calculate descriptive statistic, calculate correlation between international prices of commodity coffee and local prices commodity coffee, estimate the parameter by using Maksimum Likelihood Estimasi(MLE), to do the Monte Carlo simulation by using Mean Reversion with Jump Diffusion, to determine the production cost, normality log test, to determine the trigger indexs, and to count the premium value with put cash-or-nothing option. On this study if international prices lower than the determined trigger value, trigger payments as much as Rp 20.248.282,4/Ha based on trigger index as many Rp 24.900/kg, so amount of premium payment equals Rp 334.000.
PERAMALAN KUNJUNGAN WISATAWAN MENGGUNAKAN MODEL ARMAX DENGAN NILAI KURS DAN EKSPOR-IMPOR SEBAGAI FAKTOR EKSOGEN PUTU IKA OKTIYARI LAKSMI; KOMANG DHARMAWAN; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 3 No 4 (2014)
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.2014.v03.i04.p076

Abstract

Forecasting is science to estimate occurrence of the future. This matter can be conducted by entangling intake of past data and place to the next period with a mathematical form. This research aims to estimate the number of foreign tourists visiting Bali models using autoregressive moving average exogenous (ARMAX). The data used in this study is the number of tourists in Australia and the number of tourists in the RRC as a variable Y, and foreign currency exchange rate AUD, Chinese Yuan, and Export Import as the X factor from the period July 2009 to July 2014. In the analysis can be obtained in the best ARMAX models of the number of tourists in Australia is ARMAX(1,2,2) and the best model of the number of tourists in the RRC does not exist because the data for the ARMAX model parameters tourists no significant RRC.
ESTIMASI NILAI CONDITIONAL VALUE AT RISK (CVaR) PORTOFOLIO MENGGUNAKAN METODE EVT-GJR-VINE COPULA NI WAYAN UCHI YUSHI ARI SUDINA; KOMANG DHARMAWAN; I WAYAN SUMARJAYA
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.p230

Abstract

Conditional value at risk (CVaR) is widely used in risk measure that takes into account losses exceeding the value at risk level. The aim of this research is to compare the performance of the EVT-GJR-vine copula method and EVT-GARCH-vine copula method in estimating CVaR of the portfolio using backtesting. Based on the backtesting results, it was found that the EVT-GJR-vine copula method have better performance when compared to the EVT-GARCH-vine copula method in estimating the CVaR value of the portfolio. This can be seen from the statistical values ??, and of EVT-GJR-vine copula method which is generally smaller than the statistical values , and of the EVT-GARCH-vine copula method.
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.
ESTIMASI NILAI AVERAGE VALUE AT RISK PADA SAHAM PORTOFOLIO DENGAN MENGGUNAKAN METODE ANALISIS KOMPONEN UTAMA NI LUH NIKASARI; KOMANG DHARMAWAN; I GUSTI AYU MADE SRINADI
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.p148

Abstract

There are several methods that can be used to measure the risk of a portfolio of stocks. One of them is Average Value at Risk (AVaR). The purpose of this study is to implement Principal Component Analysis (PCA) to select stocks to be incorporated in the portfolio and also to compare the AVaR of the portfolio when  the stocks selected using PCA and selected using mean-variance method. The data we used are the closing price of the stocks BBCA, BDMN, ICBP, INTP, CPIN, KLBF, GGRM, MNCN, SMCB, and SGRO. The selected stocks using PCA are BBCA, CPIN, INTP and, MNCN with AVaR is 1.0971% for 90% confidence level and for 95% confidence level is 1.1432% whereas by using mean variance method, it is found that BDMN, GGRM, ICBP, and SMCB have to be incorporated in the portfolio with AVaR is 1.3314% for 90% confidence level and 1.4263% for 95% confidence level.
MENAKSIR VALUE AT RISK (VAR) PORTOFOLIO PADA INDEKS SAHAM DENGAN METODE PENDUGA VOLATILITAS GARCH INTAN AWYA WAHARIKA; KOMANG DHARMAWAN; NI MADE ASIH
E-Jurnal Matematika Vol 2 No 1 (2013): E-Jurnal Matematika
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.i01.p022

Abstract

Value at Risk (VaR) is a concept which was used to measure a risk on risk management. VaR explained the worst amount of financial loss in a financial product with the horizon and certain degree of believe. In the calculation of VaR, it was needed a prediction in volality, volality from a series of time which can be homokedasticity (constant) or heterokedasticity (ever changed). Changed volality can be found on the stock and stock index. One of the method which was done in modeling of changed volality was GARCH. In this research, GARCH was used to estimate VaR’s Value from IHSG and LQ45 to be sold in Jakarta Stock Exchange on 4 January to 23 August 2012 (650 observations) VaR can be calculated with a periode of horizon, 1 day, 10 days, and 22 days with the degree of believe 95%
PENENTUAN HARGA OPSI DAN NILAI HEDGE MENGGUNAKAN PERSAMAAN NON-LINEAR BLACK-SCHOLES PUTU AYU DENI; KOMANG DHARMAWAN; G. K. GANDHIADI
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.p117

Abstract

Option are contracts that give the right to sell and buy the asset at a price and a certain period of time. In addition investors use option as a means of hedge against asset owned. Many methods are used to determine the price of option, one of them by using the Black-Scholes equation. But its use these in the assumption that the value for the constant volatility. On market assumption are not appropriates, so many researchers proposed using a volatility calculation option that is non-constant Black-Scholes equation modelled using the volatility is not constant in the range so as to produce a non-linear equation of  Black-Scholes. In addition to determine the value of hedge ratio. On completions of this study, for the numerical solution of non-linear Black-Scholes equation using method of explicit finite difference scheme. Option use in research us a stock YAHOO!inc. as the underlying asset. The result showed that the price of the option is calculated using non-linear Black-Scholes equation price close on the market. Therefore, it can produce hedge ration for a risk-free portfolio containing of the option and stock.
Co-Authors A.A DWI MARSITA ANGGRAENI AULIA ATIKA PRAWIBTA SUHARTO DERY MAULANA DESAK PUTU DEVI DAMIYANTI Desak Putu Eka Nilakusmawati DEVI NANDITA. N DEWA AYU AGUNG PUTRI RATNASARI ELVINA LIADI G. K Gandhiadi G. K. Gandhiadi GEDE SUMENDRA HAMITA HAKMI HERLINA HIDAYATI I G. A. Widagda I GEDE ARYA DUTA PRATAMA I GEDE ERY NISCAHYANA I GEDE RENDIAWAN ADI BRATHA I Gusti Ayu Made Srinadi I GUSTI AYU MITA ERMIA SARI I GUSTI PUTU NGURAH MAHAYOGA I KOMANG GDE SUKARSA I KOMANG TRY BAYU MAHENDRA I NYOMAN BRYAN ANDIKA I Nyoman Widana I Putu Eka Nila Kencana I PUTU OKA PARAMARTHA I PUTU YUDHI PRATAMA I Wayan Sumarjaya I WAYAN WIDHI DIRGANTARA ICHA WINDA DIAN SAFIRA IDA AYU EGA RAHAYUNI IDA AYU GDE KHASMANA PUTRI IDA AYU PUTU CANDRA DEWI IDA BAGUS ANGGA DARMAYUDA IKHSAN AKBAR INTAN AWYA WAHARIKA INTAN LESTARI IRENE MAYLINDA PANGARIBUAN KADEK FRISCA AYU DEVI KADEK INTAN SARI KADEK MIRA PITRIYANTI Kartika Sari Kartika Sari Ketut Jayanegara LUH HENA TERECIA WISMAWAN PUTRI LUH PUTU IDA HARINI Luh Putu Ratna Sundari LUSIA EMITRIANA MAGOL MADE ASIH MAKBUL MUFLIHUNALLAH MERARY SIANIPAR MIRANDA NOVI MARA DEWI N. N. Rupiasi NABILA NUR JANNAH NI KADEK NITA SILVANA SUYASA NI KADEK PUSPITAYANTI Ni Ketut Tari Tastrawati NI LUH NIKASARI NI LUH PUTU KARTIKA WATI Ni Luh Putu Suciptawati Ni Made Asih NI MADE NITA ASTUTI NI NYOMAN AYU ARTANADI Ni Nyoman Rupiasih NI PUTU AYUNDA SURYA DEWI NI PUTU WIDYA ISWARI DEWI NI WAYAN UCHI YUSHI ARI SUDINA PUTU AMANDA SETIAWANI PUTU AYU DENI PUTU IKA OKTIYARI LAKSMI PUTU MIRAH PURNAMA D. PUTU SAVITRI DEVI PUTU WIDYA ASTUTI Ratna Sari Widiastuti RISKA YUNITA SAYID QOSIM SORAYA SARAH AFIFAH Tjokorda Bagus Oka VIAN RISKA AYUNING TYAS VIKY AMELIAH WAYAN ARTHINI WIRYA SEDANA Yan Ramona YOHANA Th.V. SERAN YOSEVA AGUNG PRIHANDINI