Initial Sale

The initial sale uses the exponential method of the bonding curve.

The bonding curve is a mathematical model used for digital asset issuance. The token price is linked to supply via a predefined price-supply relationship. Buy or sell transactions are managed by smart contracts that automatically calculate the amount of underlying assets (payment tokens) required. When buying, the payment token is added to the bonding curve pool, and new tokens are minted, while when selling, tokens are burned, and the underlying asset is returned from the pool.

By leveraging the Discrete Bonding Curve (DBC) model, the curve is divided into distinct price intervals.

Unlike a continuous linear curve (y=x), the DBC model implements stepwise intervals under the curve, offering enhanced customization and resolving technical challenges in implementing bonding curves via smart contracts.

Exponential Model

This model features prices increasing at a constant rate within each price range and is widely used for most liquidity-based bonding curves.

P: Current token price (Price)

S: Circulating token supply (Supply)

k: Constant value (Scaling factor)

n: Exponent (Exponent, generally n > 1)

P=kS$^{n}$

• As S (supply) increases, P (price) rises rapidly

This approach ensures gradual price adjustments based on demand and is designed to facilitate both buying and selling, ensuring liquidity.