SPY+0.8%
QQQ+1.2%
DIA-0.3%
SYSTEM: OFFLINEQILTRACK: V4.0
BTC+2.5%
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DEMO
SPY+0.8%
QQQ+1.2%
DIA-0.3%
SYSTEM: OFFLINEQILTRACK: V4.0
BTC+2.5%
ETH+1.8%
DEMO
SPY+0.8%
QQQ+1.2%
DIA-0.3%
SYSTEM: OFFLINEQILTRACK: V4.0
BTC+2.5%
ETH+1.8%
DEMO
SPY+0.8%
QQQ+1.2%
DIA-0.3%
SYSTEM: OFFLINEQILTRACK: V4.0
BTC+2.5%
ETH+1.8%
DEMO

Black-Scholes Model

A mathematical model for pricing European options.

optionsquantitative analysis

Definition

The Black-Scholes model is a mathematical formula for calculating the theoretical price of European-style options. It considers current stock price, strike price, time to expiration, risk-free rate, and volatility. While it has limitations (assumes constant volatility, no dividends), it revolutionized options trading.

Formula

C = S₀N(d₁) - Ke^(-rT)N(d₂)

Example

Using Black-Scholes with stock at $100, strike $105, 30 days, 5% rate, and 30% vol calculates a call worth about $2.50.

FAQ

What is Black-Scholes Model?

A mathematical model for pricing European options.

How do you calculate Black-Scholes Model?

A common formula for Black-Scholes Model is: C = S₀N(d₁) - Ke^(-rT)N(d₂)

Why is Black-Scholes Model important?

Black-Scholes Model helps investors evaluate options and make more informed decisions.

Related Terms

This content is for informational purposes only and is not investment advice.

Black-Scholes Model - Definition & Meaning | Financial Glossary