Method of Moments Estimation for Affine Stochastic Volatility Models

Yan-Feng Wu, Xiangyu Yang, Jian-Qiang Hu
{"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.
仿随机波动率模型的矩估计法
我们开发了仿射随机波动模型参数的矩估计器。我们首先引入了一个递归方程,用于推导任意阶矩的闭式公式,从而解决了计算模型矩的难题。因此,我们提出了矩估计器。然后,我们建立了估计器的中心极限定理,并推导出渐近协方差矩阵的显式。最后,我们提供数值结果来验证我们的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信