PENENTUAN HARGA OPSI BELI TIPE ASIA DENGAN METODE MONTE CARLO-CONTROL VARIATE

  • NI NYOMAN AYU ARTANADI Faculty of Mathematics and Natural Sciences, Udayana University
  • KOMANG DHARMAWAN Faculty of Mathematics and Natural Sciences, Udayana University
  • KETUT JAYANEGARA Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Option is a contract between the writer and the holder which entitles the holder to buy or sell an underlying asset at the maturity date for a specified price known as an exercise price. Asian option is a type of financial derivatives which the payoff taking the average value over the time series of the asset price. The aim of the study is to present the Monte Carlo-Control Variate as an extension of Standard Monte Carlo applied on the calculation of the Asian option price. Standard Monte Carlo simulations 10.000.000 generate standard error 0.06 and the option price convergent at Rp.160.00 while Monte Carlo-Control Variate simulations 100.000 generate standard error 0.01 and the option price convergent at Rp.152.00. This shows the Monte Carlo-Control Variate achieve faster option price toward convergent of the Monte Carlo Standar.

Author Biographies

NI NYOMAN AYU ARTANADI, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

KOMANG DHARMAWAN, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

KETUT JAYANEGARA, Faculty of Mathematics and Natural Sciences, Udayana University

Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Published
2017-01-20
How to Cite
ARTANADI, NI NYOMAN AYU; DHARMAWAN, KOMANG; JAYANEGARA, KETUT. PENENTUAN HARGA OPSI BELI TIPE ASIA DENGAN METODE MONTE CARLO-CONTROL VARIATE. E-Jurnal Matematika, [S.l.], v. 6, n. 1, p. 29-36, jan. 2017. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/27166>. Date accessed: 11 nov. 2019. doi: https://doi.org/10.24843/MTK.2017.v06.i01.p145.
Section
Articles

Keywords

Asian Option; Monte Carlo-Control Variate; Monte Carlo Standard; Option