Replicating Portfolios: Constructing Permissionless Derivatives
Abstract
The current design space of derivatives in Decentralized Finance (DeFi) relies heavily on oracle systems. Replicating market makers (RMMs) provide a mechanism for converting specific payoff functions to an associated Constant Function Market Makers (CFMMs). We leverage RMMs to replicate the approximate payoff of a Black-Scholes covered call option. RMM-01 is the first implementation of an on-chain expiring option mechanism that relies on arbitrage rather than an external oracle for price. We provide frameworks for derivative instruments and structured products achievable on-chain without relying on oracles. We construct long and binary options and briefly discuss perpetual covered call strategies commonly referred to as "theta vaults." Moreover, we introduce a procedure to eliminate liquidation risk in lending markets. The results suggest that CFMMs are essential for structured product design with minimized trust dependencies.
Keywords
Cite
@article{arxiv.2205.09890,
title = {Replicating Portfolios: Constructing Permissionless Derivatives},
author = {Estelle Sterrett and Waylon Jepsen and Evan Kim},
journal= {arXiv preprint arXiv:2205.09890},
year = {2022}
}
Comments
18 pages, 4 Figures