PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG)
The aim to determine of the simulation results and to calculate the stock price of Asian Option with Normal Inverse Gaussian (NIG) method and Monte Carlo method using MATLAB program. Results of both models are compared and selected a fair price. Besides to determine simulation accuracy of the stock...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universitas Udayana
2014-08-01
|
| Series: | E-Jurnal Matematika |
| Subjects: | |
| Online Access: | https://ojs.unud.ac.id/index.php/mtk/article/view/12003 |
| _version_ | 1818507421123870720 |
|---|---|
| author | I PUTU OKA PARAMARTHA KOMANG DHARMAWAN DESAK PUTU EKA NILAKUSMAWATI |
| author_facet | I PUTU OKA PARAMARTHA KOMANG DHARMAWAN DESAK PUTU EKA NILAKUSMAWATI |
| author_sort | I PUTU OKA PARAMARTHA |
| collection | DOAJ |
| description | The aim to determine of the simulation results and to calculate the stock price of Asian Option with Normal Inverse Gaussian (NIG) method and Monte Carlo method using MATLAB program. Results of both models are compared and selected a fair price. Besides to determine simulation accuracy of the stock price, speed of program execution MATLAB is calculated for both models for time efficiency. The first part, set variabels used to calculate the trajectory of stock prices at time t to simulate the stock price at the time. The second part, simulate the stock price with NIG model. The third part, simulate the stock price with Monte Carlo model. After simulating the stock price, calculated the value of the pay-off of the Asian Option, and then estimate the price of Asian Option by averaging the entire value of pay-off from each iteration. The last part, compare result of both models. The results of this research is price of Asian Option calculated using Monte Carlo simulation and NIG. The rates were calculated using the NIG produce a fair price, because of the pricing contract NIG using four parameters ?, ?, ?, and ?, while Monte Carlo is using only two parameters ? and ?. For execution time of the program, the Monte Carlo model is better in all iterations. |
| first_indexed | 2024-12-10T22:18:10Z |
| format | Article |
| id | doaj.art-2e61027dce1e4b03b823d003ab5987fd |
| institution | Directory Open Access Journal |
| issn | 2303-1751 |
| language | English |
| last_indexed | 2024-12-10T22:18:10Z |
| publishDate | 2014-08-01 |
| publisher | Universitas Udayana |
| record_format | Article |
| series | E-Jurnal Matematika |
| spelling | doaj.art-2e61027dce1e4b03b823d003ab5987fd2022-12-22T01:31:23ZengUniversitas UdayanaE-Jurnal Matematika2303-17512014-08-013312312910.24843/MTK.2014.v03.i03.p07412003PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG)I PUTU OKA PARAMARTHA0KOMANG DHARMAWAN1DESAK PUTU EKA NILAKUSMAWATI2Faculty of Mathematics and Natural Sciences, Udayana UniversityMathematics Department, Faculty of Mathematics and Natural Sciences, Udayana UniversityMathematics Department, Faculty of Mathematics and Natural Sciences, Udayana UniversityThe aim to determine of the simulation results and to calculate the stock price of Asian Option with Normal Inverse Gaussian (NIG) method and Monte Carlo method using MATLAB program. Results of both models are compared and selected a fair price. Besides to determine simulation accuracy of the stock price, speed of program execution MATLAB is calculated for both models for time efficiency. The first part, set variabels used to calculate the trajectory of stock prices at time t to simulate the stock price at the time. The second part, simulate the stock price with NIG model. The third part, simulate the stock price with Monte Carlo model. After simulating the stock price, calculated the value of the pay-off of the Asian Option, and then estimate the price of Asian Option by averaging the entire value of pay-off from each iteration. The last part, compare result of both models. The results of this research is price of Asian Option calculated using Monte Carlo simulation and NIG. The rates were calculated using the NIG produce a fair price, because of the pricing contract NIG using four parameters ?, ?, ?, and ?, while Monte Carlo is using only two parameters ? and ?. For execution time of the program, the Monte Carlo model is better in all iterations.https://ojs.unud.ac.id/index.php/mtk/article/view/12003OptionAsian OptionNormal Inverse GaussianNIGMonte Carlo |
| spellingShingle | I PUTU OKA PARAMARTHA KOMANG DHARMAWAN DESAK PUTU EKA NILAKUSMAWATI PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) E-Jurnal Matematika Option Asian Option Normal Inverse Gaussian NIG Monte Carlo |
| title | PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) |
| title_full | PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) |
| title_fullStr | PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) |
| title_full_unstemmed | PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) |
| title_short | PENENTUAN HARGA KONTRAK OPSI TIPE ASIA MENGGUNAKAN MODEL SIMULASI NORMAL INVERSE GAUSSIAN (NIG) |
| title_sort | penentuan harga kontrak opsi tipe asia menggunakan model simulasi normal inverse gaussian nig |
| topic | Option Asian Option Normal Inverse Gaussian NIG Monte Carlo |
| url | https://ojs.unud.ac.id/index.php/mtk/article/view/12003 |
| work_keys_str_mv | AT iputuokaparamartha penentuanhargakontrakopsitipeasiamenggunakanmodelsimulasinormalinversegaussiannig AT komangdharmawan penentuanhargakontrakopsitipeasiamenggunakanmodelsimulasinormalinversegaussiannig AT desakputuekanilakusmawati penentuanhargakontrakopsitipeasiamenggunakanmodelsimulasinormalinversegaussiannig |