Verified Certificate

Supported by the following organizations

This is to certify that Vinay Kumar successfully completed and received a passing grade in ECO.2x: Fundamentals of Macroeconomics a course of study offered by UC3Mx, an online learning initiative of Universidad Carlos III de Madrid.

Noted by

Ángel Hernando Veciana

Ángel Hernando Veciana

Associate Professor at the Department of Economics Universidad Carlos III de Madrid

Carlos Delgado Kloos

Carlos Delgado Kloos

Vice-President for Strategy and Digital Education Universidad Carlos III de Madrid

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