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Stochastic Calculus for Finance
Stochastic calculus is a branch of mathematics that deals with a process that contains stochastic components. Most of these processes rely on functions that are nowhere differentiable but continuous. This means that differential equations that are based on derivative terms cannot be used. In finance, stochastic calculus is to model the random motion of an asset price. This is done using the Black-Scholes model. Ito's Lemma is a fundamental stochastic tool that can be used to derive the Black-Scholes equation in an alternative matter.