Measuring Macroeconomic Tail Risk∗
Measuring Macroeconomic Tail Risk∗ Roberto Marf`e† Julien P´enasse‡ This draft: July 27, 2021 Abstract This paper proposes a predictive approach to estimate macroeconomic tail risk dynamics over the long run (1876-2015). Our approach circumvents the scarcity of large macroeconomic crises by using observable predictive variables in a large international panel. This method does not require asset price information, which allows us to evaluate the empirical validity of rare disasters models. Our macro risk estimates covary with asset prices and forecast future stock returns, in line with the prediction that macroeconomic tail risk drives the equity premium. A rare disaster model, calibrated from macroeconomic data alone, further supports this interpretation. JEL: E44, G12, G17 Keywords: rare disasters, equity premium, return predictability ∗A previous version of this paper was titled \The Time-Varying Risk of Macroeconomic Disasters." We thank Daniel Andrei, Patrick Augustin, Bo Becker, Jules van Binsbergen, Pierre Collin-Dufresne, George Con- stantinides, Max Croce, Magnus Dahlquist, Darell Duffie, Leland Farmer, Xavier Gabaix, Anisha Ghosh, Eric Ghysels, Anisha Ghosh, Fran¸coisGourio, Daniel Greenwald, Robin Greenwood, Benjamin Holcblat, Hendrik H¨ulsbusch, Christian Julliard, Leonid Kogan, Peter Kondor, Christos Koulovatianos, Hening Liu, Andr´eLucas, Sydney Ludvigson, Rajnish Mehra, Christoph Meinerding, Alan Moreira, Tyler Muir, Stijn Van Nieuwerburgh, Marcus Opp, Riccardo Sabbatucci, Urszula Szczerbowicz, Adrien Verdelhan, Emil Verner, Tan Wang, Michael Weber, R¨udigerWeber, and Irina Zviadadze for helpful comments. We also benefitted from useful comments by conference and seminar participants at the Columbia University Macro Lunch, U. of Luxembourg, U. of Chile, Funda¸c~aoGet´ulioVargas (Rio), McGill University, Stockholm School of Economics, and conference participants at the CEPR ESSFM Gerzensee 2017 meeting, SAFE Asset Pricing Workshop 2017, NFA 2017, Paris December 2017 Finance Meeting, the MFA 2018, and the EFA 2020.
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