Verified Certificate

Supported by the following organizations

This is to certify that Nilaj Chakrabarty successfully completed and received a passing grade in BEM1105x: Pricing Options with Mathematical Models a course of study offered by CaltechX, an online learning initiative of Caltech.

Noted by

Jaksa Cvitanic

Jaksa Cvitanic

Richard N. Merkin Professor of Mathematical Finance California Institute of Technology

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