What Is a “Bonding Curve” and How Does It Relate to AMM Price Discovery?

A bonding curve is a mathematical function that defines the relationship between the supply of a token and its price. In an AMM, the constant product formula x · y = k is a specific type of bonding curve.

The curve dictates that as more tokens are bought (increasing y and decreasing x), the price of the token increases, and vice-versa. This function is the core of the AMM's automated price discovery.

What Is the Primary Mathematical Model Used to Price American Options, and Why Is It More Complex than the Black-Scholes Model?
What Is “Slippage” and How Does It Affect the Execution of a Large Trade on an AMM?
What Is the Function of an Automated Market Maker (AMM) in Providing Liquidity to a DAO’s Treasury Assets?
How Does the Concept of a “Bonding Curve” Generalize the Constant Product and Constant Sum Models?
How Does an ‘Automated Market Maker’ (AMM) Work?
What Is an Automated Market Maker (AMM) and How Does It Differ from a Traditional Order Book?
What Is an Automated Market Maker (AMM) and How Does It Relate to Smart Contracts?
Define ‘Bonding Curve’ in the Context of a Token Launch and Its Relation to AMM Formulas

Glossar