{"title":"PENENTUAN HARGA OPSI DENGAN MODEL REGIME SWITCHING LOGNORMAL (RSLN) 2-STATE","authors":"Darma Ekawati, A. Apriyanto, Rahmah Abubakar","doi":"10.15548/map.v4i2.4927","DOIUrl":null,"url":null,"abstract":"An option is a contract between two parties in which the option holder has the right to buy or sell a certain amount of instrument at a certain price within a predetermined period of time. The purpose of this study was to determine the price of buy and sell european type options using the regime switching lognormal 2-state model. The parameters of the regime switching lognormal 2-state model are estimated using the EM Algorithm. This study used secondary data on stock prices with parameter estimation results showing a standard deviation in state-1 of 0.025543 with an average of 0.006355 and a standard deviation in state-2 of 0.051013 with an average of -0.005482. The estimated results obtained the price of european type selling and buying options of 98.40 and 1033.48 respectively for the execution price of 4000.","PeriodicalId":394491,"journal":{"name":"MAp (Mathematics and Applications) Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"MAp (Mathematics and Applications) Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15548/map.v4i2.4927","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An option is a contract between two parties in which the option holder has the right to buy or sell a certain amount of instrument at a certain price within a predetermined period of time. The purpose of this study was to determine the price of buy and sell european type options using the regime switching lognormal 2-state model. The parameters of the regime switching lognormal 2-state model are estimated using the EM Algorithm. This study used secondary data on stock prices with parameter estimation results showing a standard deviation in state-1 of 0.025543 with an average of 0.006355 and a standard deviation in state-2 of 0.051013 with an average of -0.005482. The estimated results obtained the price of european type selling and buying options of 98.40 and 1033.48 respectively for the execution price of 4000.