Itô Calculus

★★★★★Graduate+

📖Definition

Integration theory for stochastic processes. Foundation of SDEs

📐Formulas

∫f dW (Itô integral)
Itô formula: df = (∂f/∂t + ½σ²∂²f/∂x²)dt + σ∂f/∂x dW
(dW)² = dt

✏️Examples

예제 1

Geometric Brownian motion

예제 2

Option pricing

예제 3

SDEs

Applications

Financial engineering

Physics

Biology

🔗Related Documents

Applications

#이토#Itô#확률적분#stochastic