Binomial Option Pricing: Chap 1

Math
Finance
Published

February 1, 2025

Intro

Binomial Model

Fair Price

Arbitrage

Replicating a portfolio

Basic Concepts

Striking Price K

Call Option

Put Option

Forward Contract

Long, Short Position

Buy, Sell

Lend, Borrow

Variables and Parameters

  • t

  • X_n: ?

  • \Delta_n

  • B_n

  • S_n

  • V_n

  • K

  • u

  • d

  • r

  • (1+r)

  • \frac{1}{1+r}

  • p

  • \tilde{p}

  • q

  • \tilde{q}

Evolution

Backwards

No Arbitrage Assumption

0 < d < 1+r < u

Chap 2 # Convex Function # Jensen’s Inequality