Equations

Pools

$$poolAssetValue= (assetTokenBalance*tokenPrice)/ (10 ** decimals)$$

$$poolValue = ∑positionValue(i)$$

A pool's USD value is calculated by taking the sum of position values for each position the pool has. The position can be either an ERC20 token or an LP token.

$$userPoolValue = userTokenBalance * poolTokenPrice$$

$$poolTokenPrice = poolValue/totalSupply$$

A pool manager's available performance fee is calculated as follows:

$$profit=max(0, currentTokenPrice-tokenPriceAtLastFeeMint)$$

$$feeRatio = performanceFee/10000$$

$$availableManagerFee = profit*totalSupply*feeRatio/currentTokenPrice$$

Note that the performance fee is a percentage of the pool's profits, not the pool value.

NFT Pool Token Distribution

$$availableC1 = max(supplyCap * 0.05, 1)$$

$$availableC2 = max(supplyCap * 0.1, 2)$$

$$availableC3 = max(supplyCap * 0.2, 3)$$

$$availableC4 = supplyCap - availableC1 - availableC2 - availableC3$$

An NFT pool's supply cap is determined by the pool manager when the pool is created, and can't be changed.

Asset Prices

ERC20 asset price is calculated by getting the pre-determined optimal path for the asset and calling getAmountsOut() in Ubeswap's router.

The LP token price for a pair(token0, token1) is calculated as follows:

$$r=sqrt(reserve0, reserve1)$$

$$p=sqrt(assetPrice0, assetPrice1)$$

$$price=2*r*p/totalSupply$$

The reserves for an LP pair are retrieved from the Ubeswap Factory contract.