Supported by the following organizations
This is to certify that Ruben Graafland successfully completed and received a passing grade in 15.481x: Adaptive Markets: Financial Market Dynamics and Human Behavior a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.
Noted by
Andrew W. Lo
Charles E. and Susan T. Harris Professor Massachusetts Institute of Technology
Krishna Rajagopal
Dean for Digital Learning Massachusetts Institute of Technology
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- Verified Certificate Issued December 23, 2021
- Valid Certificate ID 3379f020051644119e2e888f48617b5b