Verified Certificate

Supported by the following organizations

This is to certify that Zhiyuan Ouyang successfully completed and received a passing grade in 15.435x: Derivatives Markets: Advanced Modeling and Strategies a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Deborah Lucas

Deborah Lucas

Sloan Distinguished Professor of Finance 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