Updated DEX arbitrage SSRN link and LOB abstract.
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<li>Arbitraging on Decentralized Exchanges (with <a class="authorlink" href="https://sites.google.com/site/xuedonghepage/home"
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<li>Arbitraging on Decentralized Exchanges (with <a class="authorlink" href="https://sites.google.com/site/xuedonghepage/home"
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target="_blank">Xuedong He</a> and <a class="authorlink" href="https://hk.linkedin.com/in/yutian-zhou-555870189" target="_blank">Yutian Zhou</a>).<br>
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target="_blank">Xuedong He</a> and <a class="authorlink" href="https://hk.linkedin.com/in/yutian-zhou-555870189" target="_blank">Yutian Zhou</a>).<br>
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Working Paper. <span class="links">[<a class="paperlink" href="" onclick="toggleAbstract('abs_arbDEX');return false">Abstract</a>]</span><br>
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Working Paper. <span class="links">[<a class="paperlink" href="" onclick="toggleAbstract('abs_arbDEX');return false">Abstract</a>|<a class="paperlink"
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href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5347630" target="_blank">SSRN</a>]</span><br>
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<div class="fade-in" style="display:none" id="abs_arbDEX">
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<div class="fade-in" style="display:none" id="abs_arbDEX">
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<hr>
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<hr>
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Decentralized exchanges (DEXs) are alternative venues to centralized exchanges to trade
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Decentralized exchanges (DEXs) are alternative venues to centralized exchanges (CEXs) for trading
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cryptocurrencies (CEXs) and have become increasingly popular. An arbitrage opportunity arises when
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cryptocurrencies and have become increasingly popular. An arbitrage opportunity arises when
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the exchange rate of two cryptocurrencies in a DEX differs from that in a CEX. Arbitrageurs can then
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the exchange rate of two cryptocurrencies in a DEX differs from that in a CEX. Arbitrageurs can then
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trade on the DEX and CEX to make a profit. Trading on the DEX incurs a gas fee, which determines the
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trade on the DEX and CEX to make a profit. Trading on the DEX incurs a gas fee, which determines the
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priority of the trade being executed. We study a gas-fee competition game between two arbitrageurs
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priority of the trade being executed. We study a gas-fee competition game between two arbitrageurs
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effects of three key features of market microstructure --- market tightness, market depth, and
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effects of three key features of market microstructure --- market tightness, market depth, and
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finite market resilience --- on the investor's decision. By employing a Bachelier process to model
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finite market resilience --- on the investor's decision. By employing a Bachelier process to model
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the dynamic of the fundamental value of the asset and assuming CARA-type utility for the investor,
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the dynamic of the fundamental value of the asset and assuming CARA-type utility for the investor,
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we manage to obtain the investor's optimal dynamic trading strategy in closed form by solving the
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we obtain the investor's optimal dynamic trading strategy in closed form by solving the
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resulting high-dimensional singular control problem. Furthermore, we extend the model to incorporate
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resulting high-dimensional singular control problem. Furthermore, we extend the model to incorporate
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return-predicting signals and utilize an asymptotic expansion approach to derive approximate optimal
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return-predicting signals and utilize an asymptotic expansion approach to derive approximate optimal
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trading strategies. The theoretical and numerical results emphasize the vital role of patience.
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trading strategies. The theoretical and numerical results emphasize the vital role of patience.
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Specifically, rather than dispersing small trades continuously over time as advocated by the
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Specifically, rather than dispersing small trades continuously over time as advocated by the
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existing literature, our findings suggest that investors should strategically time their trading
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existing literature, our findings suggest that investors should strategically time their trading
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activities to align with the aim portfolio in the presence of market resilience. To quantify this
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activities jointly based on market liquidity and market signal. To quantify this
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timing decision, we introduce a patience index that enables investors to strike a balance among
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timing decision, we introduce a patience index that enables investors to strike a balance among
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various competing goals, including achieving currently optimal risk exposure, incorporating signals
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various competing goals, including achieving currently optimal risk exposure, incorporating signals
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about future predictions, and minimizing trading costs, by leveraging market resilience.
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about future predictions, and minimizing trading costs, by leveraging market resilience. We also
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demonstrate how to implement our patient trading strategy using real-life market data.
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</li><br>
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</li><br>
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