Definition

Geometric Mean

Meaning ⎊ A mathematical method for calculating asset prices in multi-token pools with custom weightings for portfolio management.
Greeks.liveMarch 14, 2026

Geometric Mean

The geometric mean is a mathematical tool used in some automated market maker designs, such as weighted pools, to determine asset pricing. Unlike the standard constant product formula which assumes a 50/50 ratio, a geometric mean allows for pools with multiple assets and varying weights.

This provides greater flexibility in protocol design, allowing for the creation of index-like funds that automatically rebalance. The geometric mean ensures that the value of the pool is balanced according to the specified weights, maintaining the desired exposure for the liquidity provider.

This approach is highly effective for managing diversified portfolios within a single liquidity pool. It represents a more complex application of mathematical modeling in the decentralized finance space.

Option Pricing Model Calibration
Confirmation Bias in Derivatives
Fixed-Strike Lookback
Anchoring Bias in Crypto
Normal Distribution Assumptions
Non-Custodial Wallet
AMM Trading Curve Dynamics
Supply-Demand Feedback Loops

Glossary

Geometric Mean

Calculation ⎊ The geometric mean, within cryptocurrency and derivatives markets, represents a central tendency measure focused on multiplicative relationships, differing from the arithmetic mean’s additive approach.