Verified Certificate

Supported by the following organizations

This is to certify that Delia Emilia Ruiz Garay successfully completed and received a passing grade in 15.415.2x: Foundations of Modern Finance II a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Leonid Kogan

Leonid Kogan

Nippon Telegraph & Telephone Professor of Management MIT Sloan School of Management

Jiang Wang

Jiang Wang

Mizuho Financial Group Professor MIT Sloan School of Management

Egor Matveyev

Egor Matveyev

Executive Director of Micromasters Program in Finance MIT Sloan School of Management

Sanjay Sarma

Sanjay Sarma

Vice President for Open Learning Massachusetts Institute of Technology

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