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Arbitrage with bounded Liquidity (2507.02027v1)
Published 2 Jul 2025 in q-fin.MF and q-fin.TR
Abstract: The arbitrage gains or, equivalently, Loss Versus Rebalacing (LVR) for arbitrage between two imperfectly liquid markets is derived. To derive the LVR, I assume a quadratic trading cost to model the cost of trading on the more liquid exchange and discuss to which situations my model arguably applies well (long tail CEX-DEX arbitrage, DEX-DEX arbitrage) and to which not so well (CEX-DEX arbitrage for major pairs). I discuss extension to other cost functions and directions for future research.