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This lecture focuses on martingales, defining them as driftless stochastic processes and exploring their significance in probability and finance. It covers both discrete and continuous time martingales, their relationship with Ito integrals, and the concept of equivalent martingale measures for derivatives pricing. Additionally, the lecture discusses the conditions under which a stochastic process is a martingale and introduces exponential martingales.

Author
lishiyitech
Language
EN

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