DeFi Options Derivatives Research
Comprehensive Research on Options Pricing Models & On-chain Implementation
Problem
On-chain options protocols translate traditional derivatives pricing into a setting with discrete blocks, public mempools, and capital-constrained liquidity. Evaluating these protocols requires simultaneously understanding the classical pricing models they reference and the on-chain adaptations — power perpetuals, option vaults, partial collateral — that make them viable on Ethereum.
Approach
- Classical pricing first: Walked Black-Scholes, binomial trees, and Monte Carlo in Python before examining protocol code, so on-chain simplifications could be evaluated against a correct reference.
- Protocol diversity over depth in one: Covered Opyn/Squeeth, Dopex, and Premia to compare tokenized options, vault-based, and orderbook-adjacent on-chain designs.
- Power perpetuals as a distinct primitive: Treated Squeeth’s perpetual quadratic exposure separately from vanilla options because its funding mechanism and collateral model are structurally different.
- Python for pricing, Solidity for protocol review: Split the work so pricing math stayed in a notebook-friendly environment while protocol analysis used on-chain tooling.
Implementation
Options Pricing Models
Black-Scholes model analysis and Python implementation, binomial tree pricing methodology, and Monte Carlo simulation for exotic payoff structures.
On-chain Implementation Methods
Tokenized options architecture, option pool mechanisms and automated strategies, and power perpetuals with partial collateral models.
DeFi Protocol Analysis
Deep dive into Opyn / Squeeth, Dopex options vault analysis, and review of Premia’s decentralized options exchange design.
Findings
- Black-Scholes assumptions break on-chain: continuous hedging is impossible under discrete blocks and gas costs, so most on-chain protocols adopt vault-based passive strategies or perpetual approximations instead of true vanilla options.
- Power perpetuals trade option-like convexity exposure through a perpetual funding mechanism, sidestepping expiry management at the cost of funding-rate risk.
- Option vaults (Dopex, Ribbon-style) concentrate risk in the vault strategy, turning options selling into a yield primitive that competes more with structured products than with derivatives exchanges.
- Liquidity fragmentation remains the binding constraint for orderbook-style on-chain options.
Technologies
- Research: Python, Mathematical modeling
- Pricing Models: Black-Scholes, Binomial, Monte Carlo
- Protocols: Opyn, Squeeth, Dopex, Premia