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  • 标题:Splines for Financial Volatility
  • 本地全文:下载
  • 作者:Audrino, Francesco ; Bühlmann, Peter
  • 期刊名称:Discussion Papers of the Department of Economics, University of St.Gallen = Diskussionspapiere der Volkswirtschaftlichen Abteilung der Universität St.Gallen
  • 出版年度:2007
  • 卷号:2007
  • 出版社:Universität St. Gallen
  • 摘要:We propose a flexible GARCH-type model for the prediction of volatility in financial time series. The approach relies on the idea of using multivariate B-splines of lagged observations and volatilities. Estimation of such a B-spline basis expansion is constructed within the likelihood framework for non-Gaussian observations. As the dimension of the B-spline basis is large, i.e. many parameters, we use regularized and sparse model fitting with a boosting algorithm. Our method is computationally attractive and feasible for large dimensions. We demonstrate its strong predictive potential for financial volatility on simulated and real data, also in comparison to other approaches, and we present some supporting asymptotic arguments.
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