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MENTAL MODEL · M9293

Black-Scholes Model

Black-Scholes Model
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

The Black-Scholes Model is a classic mathematical model for option pricing, based on the assumption of a random walk in the underlying asset's price. Scaffold role: pricing under uncertainty. It converts future uncertainty into a current deterministic price, serving as a foundational tool for risk management.

SCAFFOLDING EFFECT

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Pricing under uncertainty. It converts future uncertainty into a current deterministic price, serving as a foundational tool for risk management.

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Under assumptions of no arbitrage, geometric Brownian motion, and frictionless markets, it provides a partial differential equation solution for European option prices. The core is replicating the option with a combination of the stock and a risk-free bond, thereby using hedging to eliminate risk.

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Black%E2%80%93Scholes_modelZH · Explicit
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