Estimating and forecasting dynamic correlation matrices: A nonlinear common factor approach

Yongli Zhang, Craig Rolling, Yuhong Yang

Research output: Contribution to journalArticlepeer-review


In economic and business data, the correlation matrix is a stochastic process that fluctuates over time and exhibits seasonality. The most widely-used approaches for estimating and forecasting the correlation matrix (e.g., multivariate GARCH) often are hindered by computational difficulties and require strong assumptions. In this paper we propose a method for modeling and forecasting correlation matrices that allows the correlation to be driven nonlinearly by common factors. Our nonlinear common factor (NCF) method simplifies estimation and provides more flexibility than previous factor-based methods. We illustrate its use on energy prices in Boston.

Original languageEnglish (US)
Article number104710
JournalJournal of Multivariate Analysis
StatePublished - May 1 2021

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.


  • Covariance matrix estimation
  • Dynamic correlation
  • Energy pricing
  • Multivariate adaptive regression splines
  • Nonlinear factor analysis
  • Positive definiteness


Dive into the research topics of 'Estimating and forecasting dynamic correlation matrices: A nonlinear common factor approach'. Together they form a unique fingerprint.

Cite this