Viable Pool Sizing for On-Chain FX Liquidity: Amplification, Capital, and Resilience

2026-08-31

AI Summary

研究通过调整资金池规模和放大因子A，解决金融机构在链上外汇流动性提供中面临的成本与盈利平衡问题。

Abstract

Financial institutions deploying on-chain FX liquidity face a joint design problem: how much capital to commit, and how to configure the pool, to remain both competitive on trading costs and profitable as a liquidity provider? The StableSwap mechanism (Egorov, 2020) interpolates between constant-product (CPMM) and constant-sum (CSMM) market makers (Port and Tiruviluamala, 2022) via an amplification factor A, but neither extreme suits institutional FX: CPMM pools require excessive capital and generate high impermanent loss; CSMM pools are capital-efficient near the peg but drain rapidly under adversarial flow. Using a Merton jump-diffusion price process (Merton, 1976) and the loss-versus-rebalancing (LVR) framework (Milionis et al., 2022), we map the joint (A, TVL) space to identify configurations that satisfy all three institutional requirements: competitive slippage, positive return, and shock resilience. Minimum viable pool size scales approximately as TVL/Q = 1000/A; ROC at that minimum is thin (about 0.054% per horizon) and independent of A; low-A pools (A <= 10) suffer slippage exceeding 200 bps under a 10x shock, while high-A pools (A >= 500) suffer reserve drain up to 60%, establishing both a capital floor and a practical amplification ceiling.

Problem

• on-chain FX liquidity
• capital commitment
• pool configuration
• trading costs
• profitability

Innovation

• Merton jump-diffusion
• loss-versus-rebalancing (LVR) framework
• amplification factor A
• TVL/Q ratio
• shock resilience