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Real-Time Multivariate Density Forecast Evaluation and Calibration: Monitoring the Risk of High-Frequency Returns on Foreign Exchange

Francis Diebold (), Jinyong Hahn and Anthony S Tay ()

Center for Financial Institutions Working Papers from Wharton School Center for Financial Institutions, University of Pennsylvania

Abstract: We provide a framework for evaluating and improving multivariate density forecasts. Among other things, the multivariate framework lets us evaluate the adequacy of density forecasts involving cross-variable interactions, such as time-varying conditional correlations. We also provide conditions under which a technique of density forecast "calibration" can be used to improve deficient density forecasts. Finally, motivated by recent advances in financial risk management, we provide a detailed application to multivariate high-frequency exchange rate density forecasts. Copyright © 1998 F.X. Diebold, J. Hahn, and A.S. Tay. This paper is also available at

Date: 1998-08
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Working Paper: Real-Time Multivariate Density Forecast Evaluation and Calibration: Monitoring the Risk of High-Frequency Returns on Foreign Exchange (1998) Downloads
Working Paper: Real-Time Multivariate Density Forecast Evaluation and Calibration: Monitoring the Risk of High-Frequency Returns on Foreign Exchange (1998) Downloads
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