Impact of arbitrage between leveraged ETF and futures on market liquidity during market crash

📅 2026-03-06
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This study investigates the mechanism through which arbitrage between leveraged ETFs and futures influences cross-market liquidity during market crashes. Using an agent-based artificial market simulation, the authors construct an interactive trading environment that, for the first time, systematically reveals a dynamic two-way liquidity transmission mechanism driven by arbitrage under extreme market conditions: when a liquidity shock triggered by erroneous orders disrupts one market, the other market mitigates the impact by supplying depth and price tightness, with trading volumes exhibiting significant co-movement. The findings highlight the critical role of arbitrage in stabilizing cross-market liquidity and offer a novel perspective on market resilience during extreme events.

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📝 Abstract
Leveraged ETFs (L-ETFs) are exchange-traded funds that achieve price movements several times greater than an index by holding index-linked futures such as Nikkei Stock Average Index futures. It is known that when the price of an L-ETF falls, the L-ETF uses the liquidity of futures to limit the decline through arbitrage trading. Conversely, when the price of a futures contract falls, the futures contract uses the liquidity of the L-ETF to limit its decline. However, the impact of arbitrage trading on the liquidity of these markets has been little studied. Therefore, the present study used artificial market simulations to investigate how the liquidity (Volume, SellDepth, BuyDepth, Tightness) of both markets changes when prices plummet in either (i.e., the L-ETF or futures market), depending on the presence or absence of arbitrage trading. As a result, it was found that when erroneous orders occur in the L-ETF market, the existence of arbitrage trading causes liquidity to be supplied from the futures market to the L-ETF market in terms of SellDepth and Tightness. When erroneous orders occur in the futures market, the existence of arbitrage trading causes liquidity to be supplied from the L-ETF market to the futures market in terms of SellDepth and Tightness, and liquidity to be supplied from the futures market to the L-ETF market in terms of Volume. We also analyzed the internal market mechanisms that led to these results.
Problem

Research questions and friction points this paper is trying to address.

leveraged ETF
futures
arbitrage
market liquidity
market crash
Innovation

Methods, ideas, or system contributions that make the work stand out.

leveraged ETF
futures arbitrage
market liquidity
artificial market simulation
market crash
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Isao Yagi
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