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<title>Chen Yang</title>
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<h1>YANG, Chen</h1>
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Assistant Professor <br>
<a href="http://www.se.cuhk.edu.hk" target="_blank">Department of Systems Engineering and Engineering Management</a> <br>
<a href="https://www.erg.cuhk.edu.hk/erg/">Faculty of Engineering</a> <br>
The Chinese University of Hong Kong <br><br>
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&nbsp;&nbsp;Room 511A, William M.W. Mong Engineering Building <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The Chinese University of Hong Kong <br>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Shatin, N.T., Hong Kong<br><br>
<i class="fas fa-envelope"></i> &nbsp;cyang at se.cuhk.edu.hk <br>
<i class="fas fa-phone-alt"></i> &nbsp;+852 3943-8322 <br>
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<li>Abstract submission for <a href="http://www1.se.cuhk.edu.hk/~bfs2020/" target="_blank">Bachelier Finance Society 11th World Congress</a> is now <a href="http://www1.se.cuhk.edu.hk/~bfs2020/cfp/cfp.html" target="_blank">open</a>.
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<h3 id="teaching">Teaching <a href="https://blackboard.cuhk.edu.hk" target="_blank">[Blackboard@CUHK]</a></h3>
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<li><b>SEEM3590</b> Investment Science, Fall 2019</li>
<li><b>SEEM3580</b> Risk Analysis for Financial Engineering, Spring 2020</li>
<li><b>SEEM3590</b> Investment Science, Fall 2020</li>
<li><b>SEEM3580</b> Risk Analysis for Financial Engineering, Spring 2021</li>
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<h3 id="research">Research Interest</h3>
Stochastic Control; Market Frictions; Market Microstructure; FinTech; Deep Learning for Stochastic Control.
<h3>Publications</h3>
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<li><b>An Equilibrium Model for the Cross-Section of Liquidity Premia</b> (with <a href="https://wwwf.imperial.ac.uk/~jmuhleka/" target="blank">Johannes Muhle-Karbe</a> and <a href="https://www.researchgate.net/profile/Xiaofei_Shi2/" target="_blank">Xiaofei Shi</a>).<br>
submitted. [<a href="" onclick="toggleAbstract('abs_LiqPre');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3738500" target="_blank">SSRN</a>|<a href="https://arxiv.org/abs/2011.13625" target="_blank">arXiv</a>]<br>
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<i>We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential equations characterizing equilibrium asset prices and trading strategies in this context reduce to a system of matrix-valued Riccati equations. We prove the existence of a unique global solution and provide explicit asymptotic expansions that allow us to approximate the corresponding equilibrium for small transaction costs. These tractable approximation formulas make it feasible to calibrate the model to time series of prices and trading volume, and to study the cross-section of liquidity premia earned by assets with higher and lower trading costs. This is illustrated by an empirical case study.</i>
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<li><b>Leveraged ETFs with Market Closure and Frictions</b> (with <a href="https://sites.google.com/view/mindai/home" target="_blank">Min Dai</a>, <a href="https://www.bu.edu/questrom/profile/steven-kou/" target="_blank">Steven Kou</a> and <a href="https://people.math.ethz.ch/~hmsoner/" target="blank">H. Mete Soner</a>).<br>
submitted. [<a href="" onclick="toggleAbstract('abs_LETF');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3856573" target="_blank">SSRN</a>]<br>
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<i>Although leveraged ETFs are popular products for retail investors, how to hedge them poses a great challenge to financial institutions. We develop an optimal rebalancing (hedging) model for leveraged ETFs in a comprehensive setting, including overnight market closure and market frictions. The model allows for an analytical optimal rebalancing strategy.
Moreover, our result extends the principle of "aiming in front of target" introduced by <a href="https://onlinelibrary.wiley.com/doi/abs/10.1111/jofi.12080" target="_black">G&acirc;rleanu and Pedersen (2013)</a> from a constant weight between current and future positions to a time-varying weight, because the rebalancing performance is monitored only at discrete time points but the rebalancing takes place continuously.</i>
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<li><b>Designing Stable Coins</b> (with <a href="https://www.linkedin.com/in/yizhoucao/" target="_blank">Yizhou Cao</a>, <a href="https://sites.google.com/view/mindai/home" target="_blank">Min Dai</a>, <a href="https://www.bu.edu/questrom/profile/steven-kou/" target="_blank">Steven Kou</a> and <a href="https://www.linkedin.com/in/lewei-li/" target="_blank">Lewei Li</a>).<br>
submitted. [<a href="" onclick="toggleAbstract('abs_StableCoin');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3856569" target="_blank">SSRN</a>]<br>
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<i>Stable coins, which are cryptocurrencies pegged to other stable financial assets such as U.S. dollar, are desirable for payments within blockchain networks, whereby being often called the “Holy Grail of cryptocurrency.” However, existing cryptocurrencies are too volatile for these purposes. By using the option pricing theory, we design several dual-class structures that offer a fixed income crypto asset, a stable coin pegged to a traditional currency, and leveraged investment instruments. To understand the impact of the proposed coins on the speculative and non-speculative demands of cryptocurrencies, we study equilibrium with and without the stable coins. Our investigation of the values of stable coins in presence of jump risk and black-swan type events shows the robustness of the design.</i>
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<li><b>A Stochastic Representation for Nonlocal Parabolic PDEs with Applications</b> (with <a href="https://sites.google.com/view/mindai/home" target="_blank">Min Dai</a> and <a href="https://www.bu.edu/questrom/profile/steven-kou/" target="_blank">Steven Kou</a>).<br>
<i>Mathematics of Operations Research</i>, forthcoming. [<a href="" onclick="toggleAbstract('abs_FK');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3541591" target="_blank">SSRN</a>]<br>
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<i>We establish a stochastic representation for a class of nonlocal parabolic terminal-boundary value problems, whose terminal and boundary conditions depend on the solution in the interior domain; in particular, the solution is represented as the expectation of functionals of a diffusion process with random jumps from boundaries. We discuss three applications of the representation, the first one on the pricing of dual-purpose funds, the second one on the connection to regenerative processes, and the third one on modeling the entropy on a one-dimensional non-rigid body.</i>
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<li><b>Inventory Management for High-Frequency Trading with Imperfect Competition</b> (with <a href="http://www-personal.umich.edu/~sherrma/" target="blank">Sebastian Herrmann</a>, <a href="https://wwwf.imperial.ac.uk/~jmuhleka/" target="blank">Johannes Muhle-Karbe</a> and <a href="https://www.linkedin.com/in/dapeng-shang-654316105/<Paste>" target="blank">Dapeng Shang</a>).<br>
<i>SIAM Journal on Financial Mathematics</i>, 11(1):1-26, 2020. [<a href="" onclick="toggleAbstract('abs_HFT');return false">Abstract</a>|<a href="https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3232037" target="_blank">SSRN</a>|<a href="http://arxiv.org/abs/1808.05169" target="_blank">arXiv</a>|<a href="https://epubs.siam.org/doi/abs/10.1137/18M1207776" target="_blank">Article</a>]<br>
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<i>We study Nash equilibria for inventory-averse high-frequency traders (HFTs), who trade to exploit information about future price changes. For discrete trading rounds, the HFTs' optimal trading strategies and their equilibrium price impact are described by a system of nonlinear equations; explicit solutions obtain around the continuous-time limit. Unlike in the risk-neutral case, the optimal inventories become mean-reverting and vanish as the number of trading rounds becomes large. In contrast, the HFTs' risk-adjusted profits and the equilibrium price impact converge to their risk-neutral counterparts. Compared to a social-planner solution for cooperative HFTs, Nash competition leads to excess trading, so that marginal transaction taxes in fact decrease market liquidity.</i>
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<li><b>Optimal Tax-timing with Asymmetric Long-term/short-term Capital Gains Tax</b> (with <a href="https://sites.google.com/view/mindai/home" target="_blank">Min Dai</a>, <a href="http://apps.olin.wustl.edu/faculty/liuh/" target="blank">Hong Liu</a> and <a href="https://www.linkedin.com/in/yifei-zhong-12858524/" target="_blank">Yifei Zhong</a>).<br>
<i>The Review of Financial Studies</i> 28.9:2687-2721, 2015. [<a href="" onclick="toggleAbstract('abs_taxTiming');return false">Abstract</a>|<a href=https://academic.oup.com/rfs/article/28/9/2687/1581078, target="_blank">Article</a>]<br>
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<i>We develop an optimal tax-timing model that takes into account asymmetric long-term and short-term tax rates for positive capital gains and limited tax deductibility of capital losses. In contrast to the existing literature, this model can help explain why many investors not only defer short-term capital losses to long term but also defer large long-term capital gains and losses. Because the benefit of tax deductibility of capital losses increases with the short-term tax rates, effective tax rates can decrease as short-term capital gains tax rates increase.</i>
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<h3>Professional Service</h3>
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<li> <b>Associate Editor:</b> <a href="https://www.springer.com/journal/42521" target="_blank"><i>Digital Finance</i></a>, 2020 - Present</li>
<li> <b>Reviewer:</b> Operations Research, Management Science, Mathematics of Operations Research, SIAM Journal on Financial Mathematics, Mathematics and Financial Economics.
<li> <b>Organizer:</b> Mini-Symposium <a href="https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70910" target="_blank"><b>MS5 Investment and Asset Pricing under Market Frictions</b><a>, SIAM Conferenceon Financial Mathematics and Engineering (FM21), 2021.
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<h3 id="links">Links</h3>
<a href="http://www.se.cuhk.edu.hk" target="_blank">SEEM@CUHK</a> &nbsp;&nbsp; <a href="https://www.hongkong-fintech.hk" target="_blank">FinTechHK</a>
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<div align="right"><font size="-1">Last updated: May 2021</font></div>
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