Introduction to Stochastic Calculus for Finance

In this video, we introduce stochastic calculus, a fundamental mathematical framework used in quantitative finance, particularly in option pricing and risk modeling. We build the foundations step by step, starting from stochastic integrals and leading to Itô’s lemma and stochastic differential equations, which are essential tools for modeling financial asset dynamics. You’ll learn: What stochastic calculus is and why it is used in finance The Itô stochastic integral Itô isometry and Itô processes Itô’s lemma and its financial interpretation Stochastic differential equations (SDEs) Geometric Brownian motion as a key application This video is ideal for students and practitioners in quantitative finance, probability theory, and mathematical finance. 0:00 Introduction 0:10 Foundations of Stochastic Calculus 0:38 Itô Stochastic Integral 1:47 Itô Isometry 2:11 Itô Process 2:33 Itô’s Lemma 3:57 Stochastic Differential Equations 4:49 Geometric Brownian Motion #StochasticCalculus #ItosLemma #QuantitativeFinance #OptionPricing #SDE #MathematicalFinance #Finance #Mathematics #Quant #QuantNext ★★ Follow us:   / quant-next   ★★