Bonding Curve

Token Allocation

• The total fungible tokens of the collection is fixed at 1B and the NFTs part amount is customized by the token creator.

• 800M fungible tokens are allocated in the bonding curve pool for sale to raise initial liquidity.

• 200M fungible tokens are reserved for adding to the liquidity pool on DEX.

Parameters

Equation:

$$P(x) = 4 \times 10^{-9} e^{\frac{x \ln{10}}{0.8 \times 10^9}}$$

Parameter Definitions:

• P(x) is the token price in ETH

• X is the token supply, ranging from 0 to 800M

Initial Conditions

• At token creation, the initial token price is 4*10^(-9) ETH

• The initial market cap of the collection is 4ETH(initial token price*1B).

Graduation Conditions:

• At graduation(x=800M), the token price is 4*10^(-8)ETH

• The total market cap of the collection is 40 ETH ( token price*1B) .

Total Raised Funds(TRF):

$$TRF = \int_0^{800M} 4 \times 10^{-9} e^{\frac{x \ln{10}}{0.8 \times 10^9}} \, dx \approx 12.5 \, ETH$$

Liquidity Pool on DEX Construction:

• Deposited ETH= TRF*85% ≈ 10.625ETH

• Deposited Token=200M

Price Increase When Depositing LP

• Initial Price on DEX=Deposited ETH/Deposited Token ≈ 5.3125*10^(-8)ETH

• Graduating Price on Bonding curve is 4*10^(-8)ETH

• Thus, the token price on the DEX LP at the very start is ~32% higher compared to the graduation price on the bonding curve.