Supported by the following organizations
This is to certify that José Sánchez successfully completed and received a passing grade in 15.455x: Mathematical Methods for Quantitative Finance a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by
Paul F. Mende
Senior Lecturer and Research Scientist Massachusetts Institute of Technology
Egor Matveyev
Senior Lecturer Sloan School of Management Massachusetts Institute of Technology
Dimitris Bertsimas
Vice Provost for Open Learning Massachusetts Institute of Technology
Chris Capozzola
Senior Associate Dean for Open Learning; Professor of History Massachusetts Institute of Technology
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- Verified Certificate Issued May 15, 2026
- Valid Certificate ID bddc9998efea4534975648f590993b20