{"title":"用巴耶西安·蒙特卡洛的马尔可夫链条预测股票回报率的方法对随机应变参数的估计","authors":"Rahmayanti Putri Desiresta, Firdaniza Firdaniza, Kankan Parmikanti","doi":"10.24198/jmi.v17.n2.34805.73-83","DOIUrl":null,"url":null,"abstract":"Parameters of a distribution are usually unknown values, to find out an estimate is made of these parameters. There are two kinds of parameter estimation methods, namely classical method and Bayesian method. Bayesian method was a method that combines sample distribution with prior distribution. To get a random sample is to use a simulation. One of the simulation techniques used in Bayesian method is Markov Chain Monte Carlo (MCMC) method, which is a simulation method for generating random variables based on the Markov chain. This study discusses Bayesian method with MCMC using Gibbs Sampling algorithm. MCMC method with Gibbs Sampling algorithm works to build a Markov chain by recursively sampling from full conditional posterior distribution of each parameter. In this study, Bayesian method with MCMC using Gibbs Sampling algorithm was applied to estimate parameters of the Stochastic Volatility to converge. Stochastic volatility is a concept that allows for the fact that asset price volatility varies over time and is not constant. This model applied for predicting stock returns of PT. Indofood CBP Sukses Makmur Tbk. (ICBP.JK). Based on Stochastic Volatility model obtained, prediction results for stock returns are almost close to the actual data. Benefit of this research is that the predicted value obtained can be used as a reference for investors to create an optimal portfolio.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimasi Parameter Model Volatilitas Stokastik dengan Metode Bayesian Rantai Markov Monte Carlo untuk Memprediksi Return Saham\",\"authors\":\"Rahmayanti Putri Desiresta, Firdaniza Firdaniza, Kankan Parmikanti\",\"doi\":\"10.24198/jmi.v17.n2.34805.73-83\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Parameters of a distribution are usually unknown values, to find out an estimate is made of these parameters. There are two kinds of parameter estimation methods, namely classical method and Bayesian method. Bayesian method was a method that combines sample distribution with prior distribution. To get a random sample is to use a simulation. One of the simulation techniques used in Bayesian method is Markov Chain Monte Carlo (MCMC) method, which is a simulation method for generating random variables based on the Markov chain. This study discusses Bayesian method with MCMC using Gibbs Sampling algorithm. MCMC method with Gibbs Sampling algorithm works to build a Markov chain by recursively sampling from full conditional posterior distribution of each parameter. In this study, Bayesian method with MCMC using Gibbs Sampling algorithm was applied to estimate parameters of the Stochastic Volatility to converge. Stochastic volatility is a concept that allows for the fact that asset price volatility varies over time and is not constant. This model applied for predicting stock returns of PT. Indofood CBP Sukses Makmur Tbk. (ICBP.JK). Based on Stochastic Volatility model obtained, prediction results for stock returns are almost close to the actual data. Benefit of this research is that the predicted value obtained can be used as a reference for investors to create an optimal portfolio.\",\"PeriodicalId\":53096,\"journal\":{\"name\":\"Jurnal Matematika Integratif\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jurnal Matematika Integratif\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24198/jmi.v17.n2.34805.73-83\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jurnal Matematika Integratif","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24198/jmi.v17.n2.34805.73-83","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
分布的参数通常是未知值,要找出这些参数的估计值。参数估计方法有两种,即经典方法和贝叶斯方法。贝叶斯方法是一种将样本分布与先验分布相结合的方法。要获得随机样本,就要使用模拟。贝叶斯方法中使用的模拟技术之一是马尔可夫链蒙特卡罗(MCMC)方法,这是一种基于马尔可夫链生成随机变量的模拟方法。本研究使用吉布斯采样算法讨论了MCMC的贝叶斯方法。MCMC方法结合吉布斯采样算法,通过对每个参数的全条件后验分布进行递归采样,建立马尔可夫链。在本研究中,将贝叶斯方法和MCMC结合使用吉布斯抽样算法来估计随机波动率的参数以收敛。随机波动率是一个概念,考虑到资产价格波动率随时间变化而不是恒定的。该模型应用于印尼食品公司CBP Sukses Makmur Tbk的股票收益预测。(ICBP.JK)。基于随机波动率模型,股票收益率的预测结果与实际数据基本接近。这项研究的好处是,获得的预测值可以作为投资者创建最佳投资组合的参考。
Estimasi Parameter Model Volatilitas Stokastik dengan Metode Bayesian Rantai Markov Monte Carlo untuk Memprediksi Return Saham
Parameters of a distribution are usually unknown values, to find out an estimate is made of these parameters. There are two kinds of parameter estimation methods, namely classical method and Bayesian method. Bayesian method was a method that combines sample distribution with prior distribution. To get a random sample is to use a simulation. One of the simulation techniques used in Bayesian method is Markov Chain Monte Carlo (MCMC) method, which is a simulation method for generating random variables based on the Markov chain. This study discusses Bayesian method with MCMC using Gibbs Sampling algorithm. MCMC method with Gibbs Sampling algorithm works to build a Markov chain by recursively sampling from full conditional posterior distribution of each parameter. In this study, Bayesian method with MCMC using Gibbs Sampling algorithm was applied to estimate parameters of the Stochastic Volatility to converge. Stochastic volatility is a concept that allows for the fact that asset price volatility varies over time and is not constant. This model applied for predicting stock returns of PT. Indofood CBP Sukses Makmur Tbk. (ICBP.JK). Based on Stochastic Volatility model obtained, prediction results for stock returns are almost close to the actual data. Benefit of this research is that the predicted value obtained can be used as a reference for investors to create an optimal portfolio.