Verified Certificate

Supported by the following organizations

This is to certify that Zhiyuan Ouyang successfully completed and received a passing grade in 15.415.1x: Foundations of Modern Finance I 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 Massachusetts Institute of Technology

Jiang Wang

Jiang Wang

Mizuho Financial Group Professor, MIT Sloan School of Management Massachusetts Institute of Technology

Egor Matveyev

Egor Matveyev

Senior Lecturer, MIT Sloan School of Management Massachusetts Institute of Technology

Sanjay Sarma

Sanjay Sarma

Vice President for Open Learning Massachusetts Institute of Technology