Topic: Risk-Neutral Pricing and the Fundamental Theorems

The Fundamental Theorem for Semimartingale Markets

The First Fundamental Theorem in Finite-State Markets

Superhedging Duality in Incomplete Markets

Separating Hyperplanes and State-Price Vectors

Pricing Claims in Complete Markets

Incomplete Markets and Martingale Pricing Bounds

Finite-State Completeness and Replication

Equivalent Martingale Measures in Finite-State Models

Equivalent Local Martingale Measures in Diffusion Markets

Discounted Gains From Self-Financing Strategies