Topic: Applications of Ito's Formula

When Geometric Brownian Motion Is a Martingale

The Stochastic Exponential

The Multidimensional Levy Characterization

The Lognormal Law of Geometric Brownian Motion

Testing Brownian Candidates With Martingales and Quadratic Variation

Solving Geometric Brownian Motion with Ito’s Formula

Proving Levy’s Characterization With Exponential Martingales

Power Transforms of Geometric Brownian Motion

Novikov’s Criterion for Exponential Martingales

Moment Recursions From Ito’s Formula