Topic: Stochastic Calculus

Solved Problems on Optional Stopping and Localization

Smoothness and Domain Conditions for Ito’s Formula

Simulating Ornstein-Uhlenbeck Paths with Exact Transitions

Simulating Brownian Paths on a Time Grid

Simple Predictable Processes on Time Partitions

Short-Rate Discounting and Zero-Coupon Bond Prices

Separating Hyperplanes and State-Price Vectors

Self-Financing Portfolios and Wealth Dynamics

Semigroups of Diffusion Processes

Scale Functions and Speed Measures for One-Dimensional Diffusions