Professional Education Certificate

Supported by the following organizations

This is to certify that Akhram Aramayo successfully completed and received a passing grade in DPC.5x: Greeks, American Options and Volatility a course of study offered by NYIF, an online learning initiative of New York Institute of Finance through edX.

Noted by

Jack Farmer

Jack Farmer

Curriculum Director New York Institute of Finance

Lee Tian

Lee Tian

CEO New York Institute of Finance

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Professional Education Certificates

An edX Professional Education Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.