1 Introduction -- 2 Microstructure Foundations -- 3 Empirical Properties of High-Frequency Data -- 4 Financial Point Processes -- 5 Univariate Multiplicative Error Models -- 6 Generalized Multiplicative Error Models -- 7 Vector Multiplicative Error Models -- 8 Modelling High-Frequency Volatility...

The aim of this paper is to demonstrate how the change in actual and potential market risks in the Dow Jones Industrial Average (DJIA) during the two-year period 2007-2008 can be analyzed with the help of-analysis. In the empirical analysis, the average of the Lyapunov exponents for the dynamic...

We propose several connectedness measures built from pieces of variance decompositions, and we argue that they provide natural and insightful measures of connectedness among financial asset returns and volatilities. We also show that variance decompositions define weighted, directed networks, so...

From 1963 through 2015, idiosyncratic risk (IR) is high when market risk (MR) is high. We show that the positive relation between IR and MR is highly stable through time and is robust across exchanges, firm size, liquidity, and market-to-book groupings. Though stock liquidity affects the...