Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2025-03-21 Number: 25-021/V Author-Name: Karim Moussa Author-Workplace-Name: Vrije Universiteit Amsterdam and Tinbergen Institute Title: On the Correlations in Linearized Multivariate Stochastic Volatility Models Abstract: In the analysis of multivariate stochastic volatility models, many estimation procedures begin by transforming the data, taking the logarithm of the squared returns to obtain a linear state space model. A well-known series representation links the correlations between elements of the observation error in the actual and linearized forms of the model. This note derives a closed-form expression for the series and discusses its statistical implications. Additionally, it offers a new interpretation of the correlations in the linearized model. Classification-JEL: Keywords: File-URL: https://papers.tinbergen.nl/25021.pdf File-Format: application/pdf File-Size: 441.559 bytes Handle: RePEc:tin:wpaper:20250021