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inflation with supply = LST + Circ ETH #1

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@eric-downes

Right now we can believably handle inflation where supply is

  • total ETH (E)
  • circulating raw ETH (C)

To correctly handle a case where LST's (L) + C make the effective supply we'll need to model

  • "low risk ETH rate" (~ geometric mea of Compound.fi supply APY)
  • 30 day coupon conversion from stETH -> ETH
  • how does tail of demand curve fall off?
  • what are the dynamics of stETH peg? uniswap v2?

I think this can be done without modeling the full expected price distribution by assuming a function of the ETH-holdings weighted distribution of price expectations... essentially the amount of LSP should be determined by an integral of a kernel taking current price, and integrating over expected reward of stETH vs expected reward of ETH. If existing stock is greater than that, people redeem stETH -> ETH, otherwise they buy stETH.

this gets very complex though, so I intend to first

  • understand strengths and shortcomings of supply = E, C models
  • see how introducing a 30d coupon-redemption affects the above model
  • make a simpler model focusing on just stETH vs. ETH price dynamics with simplified staking/total-supply assumptions.

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