{"title":"Method of Moments Estimation for Affine Stochastic Volatility Models","authors":"Yan-Feng Wu, Xiangyu Yang, Jian-Qiang Hu","doi":"arxiv-2408.09185","DOIUrl":null,"url":null,"abstract":"We develop moment estimators for the parameters of affine stochastic\nvolatility models. We first address the challenge of calculating moments for\nthe models by introducing a recursive equation for deriving closed-form\nexpressions for moments of any order. Consequently, we propose our moment\nestimators. We then establish a central limit theorem for our estimators and\nderive the explicit formulas for the asymptotic covariance matrix. Finally, we\nprovide numerical results to validate our method.","PeriodicalId":501293,"journal":{"name":"arXiv - ECON - Econometrics","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - ECON - Econometrics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.09185","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
We develop moment estimators for the parameters of affine stochastic
volatility models. We first address the challenge of calculating moments for
the models by introducing a recursive equation for deriving closed-form
expressions for moments of any order. Consequently, we propose our moment
estimators. We then establish a central limit theorem for our estimators and
derive the explicit formulas for the asymptotic covariance matrix. Finally, we
provide numerical results to validate our method.