Supported by the following organizations
This is to certify that Ludovic PAUL 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
Sloan Distinguished Professor of Finance MIT Sloan School of Management
Egor Matveyev
Executive Director of Micromasters Program in Finance MIT Sloan School of Management
Sanjay Sarma
Vice President for Open Learning Massachusetts Institute of Technology
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- Verified Certificate Issued October 5, 2022
- Valid Certificate ID ddfa4b030b4b412ebc9f6630c68c98a4