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Easily the best treatment of real reserves in concentrated liquidity AMMs you will find.
Most tutorials rehash the whitepaper.
Ours re-derived the idea from first principles then made the derivation simpler.
It then used a lot of simple diagrams to reduce cognitive load.
What makes me especially proud is that I’m not the author of this.
RareSkills has a culture of quality that can’t be forked.
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The Uniswap V3 Series continues:
Real Reserves and How to Calculate Them
The price in an AMM changes when tokens enter and leave the pool during a swap.
The real reserves of a token are simply the amount of that token a trader must swap out for the price to reach the next tick.
The real reserve of x is the amount of token x required to be swapped out to reach the upper tick -- and the real reserve of y is the amount of token y required to be swapped out to reach the lower tick.
You probably learned how to calculate real reserves by "translating" a Uniswap V2 curve until it crosses the x and y axes -- then doing some multi-step algebra.
We came up with a much simpler derivation!
And it has nice pictures and animations.
Learn more in our latest blog post.
It's our delight to simplify.
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