Nikolaus Hautsch and Rodrigo Herrera, "Multivariate Dynamic Intensity Peaks-Over-Threshold Models", Journal of Applied Econometrics, Vol. 35, No. 2, 2020, pp. 248-272. The online appendix in Hautsch-Herrera-appendix.pdf includes the backtesting tests utilized in the paper, proof of Proposition 1 in the paper, empirical evidence for the Hawkes-POT processes, and robustness regarding tail threshold selection The file hh-files.zip includes the main data and programs to estimate ACI-POT models. R-code programs ApplicationsJAE.R: Main files to reproduce the results presented in the paper. It is enough to open this file to estimate all models. We concentrate in the ACI-POT(1,1) for easy of the exposition. The code contains comments related to the Tables and Figures. Extensions are possible to estimate by looking the MI-POTv files. MI_POTv.R: Loglikelihood functions for the bivariate and trivariate models. We include ACI-POT and Hawkes-POT models. Utilities.R: A number of utilities and libraries linked to the main code Database The data were originally downloaded from Yahoo.finance *csv: These correspond to the database utilized for both applications. The sample period is from January 2, 1994, to December 30, 2016. EURUSD: Euro to USD GBPUSD: GBP to USD FTSE : FTSE100 stock market index GDAXI : German DAX stock market index GSPC : S&P500 stock market index Please address any questions to: rodrigo.herrera [at] utalca.cl