Options AMM Invariant Curves

Algorithm

Options AMM Invariant Curves represent a novel approach to designing automated market makers (AMMs) within decentralized finance (DeFi), specifically tailored for options trading. These curves are mathematically defined to maintain a consistent relationship between the price of an underlying asset and the strike price of an option, irrespective of trading volume or liquidity. The invariant property ensures that the AMM’s state remains predictable and stable, mitigating impermanent loss, a common challenge in traditional AMM designs. This design facilitates the creation of options markets with predictable pricing and reduced risk for both liquidity providers and traders.
AMM A detailed internal cutaway illustrates the architectural complexity of a decentralized options protocol's mechanics.

AMM

Meaning ⎊ Lyra is an options AMM that uses a Black-Scholes-based pricing model to dynamically adjust for volatility and delta skew, ensuring liquidity providers are accurately compensated for the specific risk they underwrite.