• Products
  • Community
  • Markets
  • Brokers
  • More
Get started
  • Community
  • /Indicators and strategies
  • /GBM

GBM

Geometric Brownian Motion BandIf you are an option trader, who are constantly searching opportunities to set up inverse iron condor position or other strategies, you must be familiar in estimating the range induced by Geometric Brownian Motion (GBM), or Lognormal distribution someone may call. The theory behind is adopted in the Black Scholes Option Pricing model, this assumes the asset price follows the GBM, shown below, and estimates the range where the price will fall into on the specific date and probability. dS = a dt + v dW Assuming the drift term is zero, this GBM Band applies the same model and helps you to quickly assess the suitable range to set up your option strategies with simple setting: Length – number of bars covered Vol Multiple - the z-score of the probability Default values of the Length and Vol Multiple are set to 20 bars and 2.0 z-score respectively. You can find an example how the GMB Band work. You can also applies this GMB Band like how Bollinger's Band does for swing trade or breakaway trade. If you find this indicator is useful to you, Star it, Follow, Donate, Like and Share. Your support is a highly motivation for me.
Pine Script® indicator
by earnSmartAlgorithm
77

Select market data provided by ICE Data services. Select reference data provided by FactSet. Copyright © 2025 FactSet Research Systems Inc.© 2025 TradingView, Inc.

More than a product
  • Supercharts
Screeners
  • Stocks
  • ETFs
  • Bonds
  • Crypto coins
  • CEX pairs
  • DEX pairs
  • Pine
Heatmaps
  • Stocks
  • ETFs
  • Crypto
Calendars
  • Economic
  • Earnings
  • Dividends
More products
  • Yield curves
  • Options
  • News Flow
  • Pine Script®
Apps
  • Mobile
  • Desktop
Community
  • Social network
  • Wall of Love
  • Refer a friend
  • House Rules
  • Moderators
Ideas
  • Trading
  • Education
  • Editors' picks
Pine Script
  • Indicators & strategies
  • Wizards
  • Freelancers
Tools & subscriptions
  • Features
  • Pricing
  • Market data
Trading
  • Overview
  • Brokers
Special offers
  • CME Group futures
  • Eurex futures
  • US stocks bundle
About company
  • Who we are
  • Manifesto
  • Athletes
  • Blog
  • Careers
  • Media kit
Merch
  • TradingView store
  • Tarot cards for traders
  • The C63 TradeTime
Policies & security
  • Terms of Use
  • Disclaimer
  • Privacy Policy
  • Cookies Policy
  • Accessibility Statement
  • Security vulnerability
  • Status page
Business solutions
  • Widgets
  • Charting libraries
  • Lightweight Charts™
  • Advanced Charts
  • Trading Platform
Growth opportunities
  • Advertising
  • Brokerage integration
  • Partner program
  • Education program
Community
  • Social network
  • Wall of Love
  • Refer a friend
  • House Rules
  • Moderators
Ideas
  • Trading
  • Education
  • Editors' picks
Pine Script
  • Indicators & strategies
  • Wizards
  • Freelancers
Business solutions
  • Widgets
  • Charting libraries
  • Lightweight Charts™
  • Advanced Charts
  • Trading Platform
Growth opportunities
  • Advertising
  • Brokerage integration
  • Partner program
  • Education program
Look FirstLook First