IMM Balancing Indicator
The current total value of the pool is:
We define the pool as balanced if Xc * rX = Yc* rY, i.e., the values of the LP token and ETH assets in the pool are equal.
So, we can determine the pool to be balanced if:
If q>1 there is a shortage of ETH.
If q>1 there is a shortage of ETH.
Function f(q) is used to adjust the Oracle price according to the pool state.
The parameters a, b are set on the following range:
0 <= b < 1
0 <= a < ∞
Due to solidity efficiency limitations, parameter “a” can only be set to values starting from 0 and increasing in 0.5 increments till infinity.
If q = 1, f(q) = 1, the pool is in equilibrium state and no adjustments are applied to the Oracle price.
If q>1, f(q) < 1, the pool is in shortage of ETH and the pool internal rate will be less than the Oracle price.
If q<1, f(q) > 1, the pool is in shortage of LP token and the internal rate will be higher than Oracle price.
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