Pricing and Valuation

Pricing and valuation explains how option prices connect to payoff shape, underlying price, strike, time to expiration, volatility, interest rates, dividends, and no-arbitrage logic.

This section is not about predicting which option will make money. It is about understanding what a quoted premium is paying for, which model assumptions are being made, and when a theoretical price is useful versus misleading.

What This Section Covers

• Option pricing models compare the main valuation frameworks and their inputs.
• Option pricing theory explains the no-arbitrage intuition behind model prices.
• Black-Scholes option pricing model is the standard closed-form model for European-style options under restrictive assumptions.
• Binomial option pricing model values options through a step-by-step tree and can handle early-exercise logic.
• Risk-neutral valuation explains why derivatives can be priced with risk-neutral expected payoffs in a no-arbitrage framework.
• Arbitrage pricing theory is broader asset-pricing theory, useful for separating no-arbitrage thinking from option-specific models.

How To Use These Pages

For a real option valuation, always identify:

• contract terms: underlying, strike, expiration, exercise style, settlement, and multiplier
• market inputs: underlying price, rates, dividends, implied volatility, and borrow or funding assumptions
• model choice: closed-form, tree, simulation, or market-implied surface
• output use: trade check, hedge ratio, risk report, accounting estimate, or scenario analysis
• limits: liquidity, transaction costs, early exercise, jumps, skew, dividends, and model error

Step back to Options for contract mechanics, or use the volatility and Greeks pages when the question is mainly sensitivity rather than model selection.

In this section

Choose a subsection first. Deeper term pages live inside each subsection, which keeps large topic hubs readable.