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A Closed-Form Solution for Optimal Mean-Reverting Trading Strategies 最优均值回归交易策略的闭型解
A. Lipton, Marcos M. López de Prado
When prices reflect all available information, they oscillate around an equilibrium level. This oscillation is the result of the temporary market impact caused by waves of buyers and sellers. This price behavior can be approximated through an Ornstein-Uhlenbeck (OU) process. Market makers provide liquidity in an attempt to monetize this oscillation. They enter a long position when a security is priced below its estimated equilibrium level, and they enter a short position when a security is priced above its estimated equilibrium level. They hold that position until one of three outcomes occur: (1) they achieve the targeted profit; (2) they experience a maximum tolerated loss; (3) the position is held beyond a maximum tolerated horizon. All market makers are confronted with the problem of defining profit-taking and stop-out levels. More generally, all execution traders holding a particular position for a client must determine at what levels an order must be fulfilled. Those optimal levels can be determined by maximizing the trader's Sharpe ratio in the context of OU processes via Monte Carlo experiments. This paper develops an analytical framework and derives those optimal levels by using the method of heat potentials.
当价格反映了所有可用信息时,它们就会在均衡水平附近波动。这种波动是买方和卖方波动造成的暂时市场冲击的结果。这种价格行为可以通过Ornstein-Uhlenbeck (OU)过程来近似。做市商提供流动性,试图将这种波动货币化。当证券的价格低于其估计的均衡水平时,他们进入多头头寸,当证券的价格高于其估计的均衡水平时,他们进入空头头寸。他们持有该头寸,直到出现以下三种结果之一:(1)他们实现了目标利润;(二)遭受最大可容忍损失的;(3)持仓超过最大可容忍范围。所有做市商都面临着定义获利了结和止损水平的问题。更一般地说,所有为客户持有特定头寸的执行交易员都必须确定在什么水平上必须履行订单。这些最优水平可以通过蒙特卡洛实验在OU过程的背景下最大化交易者的夏普比率来确定。本文建立了一个分析框架,并利用热势法推导出最佳水平。
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引用次数: 9
Lead-Lag and Evasiveness of Price Limits Across Venues Based on Synchronised Orderbook Observations 基于同步订单观察的跨场馆价格限制的超前滞后和回避性
Paul Besson, Stephanie Sureau, Hoang-Nam Nguyen
In this paper, we show that synchronised market data across different venues can be of great help to better understand orderbook dynamics. We introduce a new measure for main European trading destinations: the “limit evasiveness”. It characterises the propensity of a limit to be cancelled without being emptied to prevent participants from consuming the liquidity displayed on the first limit. We show that Primary limits are less evasive than Cboe-ChiX.

Lastly, we highlight the “leading venues”, by observing which the most frequent venues are when a trade is done at a better price compared to all the previous orderbooks’ best limits observed before this new trade. We show that Cboe-ChiX is overrepresented in leading instances, thus providing better effective prices to participants.

It thus seems that MTFs are faster to cancel as well as to create new limits than primary markets.

All these analyses are conducted based on c. 580,000 Smart Order Router market data observations from May 2019 that register best limits across different venues existing at a given point in time.
在本文中,我们展示了跨不同场所的同步市场数据可以极大地帮助我们更好地理解订单动态。我们为欧洲主要贸易目的地引入了一项新措施:“限制规避”。它的特点是倾向于限制被取消而不被清空,以防止参与者消费的流动性显示在第一个限制。我们发现Primary限制比choe - chix更容易逃避。最后,我们强调了“领先的交易场所”,通过观察与此新交易之前观察到的所有订单的最佳限制相比,交易以更好的价格完成时最频繁的交易场所。我们表明,在领先的例子中,che - chix的代表性过高,从而为参与者提供了更好的有效价格。因此,MTFs似乎比一级市场更快地取消和创造新的限制。所有这些分析都是基于2019年5月以来的580,000个智能订单路由器市场数据观察进行的,这些数据记录了在给定时间点存在的不同场所的最佳限制。
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引用次数: 0
General Oligopolistic Equilibrium (GOLE) in Trade 贸易中的一般寡头垄断均衡(GOLE)
Yang-Seung Lee
Purpose – The purpose of this paper is to develop a tractable general-equilibrium model, where the market is mixed of large firms (oligopoly) and small firms (monopolistic competition). We will provide new implication of trade gain.

Design/Methodology/Approach – Our discussion relies on theoretic analysis for the interaction between large firms and small firms. Large firms compete in quantity-setting (Cournot-competition) so that strategically behave. Large firms are a first-mover while small firms are a second-mover.

Findings – When the economy is open, the market-expansion effect induces large firms to reschedule to produce more, and to demand more high-quality workers. The expansion of output-schedules crowds out the production of small firms. The demand of high-quality workers widens wage inequality within country. Small firms lose from trade. However, the more productive workers of small firms gain because large firms offers them jobs. Not all large firms gain. Firms of low-quality workers would lose from trade.

Research Implications or Originality – Overall, the effect of trade liberalization on welfare is ambiguous. It depends on distribution of labor qualities and number of large firms. When a country is abundant (scarce) of high-quality laborers, welfare improves (declines). When both countries have the same distribution of labor qualities, welfare improves in the country with a greater number of large firms. This paper can contribute to the literature of granular firms, labor market imperfection, and trade.
目的-本文的目的是建立一个易于处理的一般均衡模型,其中市场是大公司(寡头垄断)和小企业(垄断竞争)的混合。我们将提供新的贸易收益含义。设计/方法论/方法-我们的讨论依赖于对大公司和小公司之间互动的理论分析。大公司在数量设定(古诺竞争)中竞争,从而在战略上表现。大公司是先发者,小公司是后发者。当经济开放时,市场扩张效应促使大公司重新安排生产更多产品,并要求更多高质量的工人。生产计划的扩大排挤了小公司的生产。对高质量工人的需求扩大了国内的工资不平等。小公司在贸易中吃亏。然而,小公司中生产率更高的工人受益,因为大公司为他们提供了工作。并不是所有的大公司都获利。拥有低质量工人的公司将在贸易中蒙受损失。研究启示或独创性-总体而言,贸易自由化对福利的影响是模糊的。这取决于劳动力素质的分布和大企业的数量。当一个国家的高素质劳动力充足(缺乏)时,福利就会改善(下降)。当两国的劳动力素质分布相同时,大企业数量较多的国家的福利水平会提高。本文可以对颗粒企业、劳动力市场不完善和贸易的文献有所贡献。
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引用次数: 1
Trading on Overshooting 过度交易
Min S. Kim
This paper presents novel evidence that individual stocks are subject to mispricing amid shocks that permanently shift the long-run relationship between the price and the fundamentals (e.g., book value). When the long-run level of the price-to-fundamentals ratio increases/decreases, the price is expected to rise/drop during the mean shift. Based on higher/lower expected returns, uninformed investors, however, incorrectly infer that the stock is currently undervalued/overvalued and increase the purchases/sales, which causes mispricing. Trading strategies that exploit subsequent reversals of the returns yield significant positive returns. Buying/shortselling closed-end mutual funds with lowest/highest mean shifts of the price-to-NAV ratio produces risk-adjusted returns of 3% to 8% per year. Overreaction to news might not explain these results.
本文提出的新证据表明,在价格与基本面(如账面价值)之间的长期关系永久改变的冲击中,个股容易出现定价错误。当价格与基本面比率的长期水平上升/下降时,预计价格将在平均值移动期间上升/下降。然而,根据更高/更低的预期回报,不知情的投资者错误地推断出股票目前被低估/高估,并增加购买/销售,从而导致错误定价。利用随后的回报逆转的交易策略产生显著的正回报。买入/卖空价格/资产净值平均变动最低/最高的封闭式共同基金,每年的风险调整回报率为3%至8%。对新闻的过度反应可能无法解释这些结果。
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引用次数: 0
FinTech Platforms and Mutual Fund Distribution 金融科技平台和共同基金分销
C. Hong, Xiaomeng Lu, Jun Pan
This paper studies the economic impact of the emergence of FinTech platforms on financial intermediation. In China, platform distributions of mutual funds emerged in 2012 and grew quickly into a formidable presence. Utilizing the staggered fund entrance onto platforms, we find markedly increased flow sensitivities to performance. Akin to the winner-take-all phenomenon in the platform economy, net flow captured by top 10% performing funds more than triples its pre-platform level. This pattern of platform-induced performance chasing is further confirmed using private data from Howbuy, a top platform in China. Consistent with this added incentive of becoming top performers in the era of large-scale platforms, fund managers increase risk taking to enhance the probability of becoming top performers. Meanwhile, organizational cohesiveness of fund families weakens as platforms level the playing field for all funds.
本文研究了金融科技平台的出现对金融中介的经济影响。在中国,共同基金的平台分销于2012年出现,并迅速成长为一个强大的存在。利用错开的资金进入平台,我们发现流量对业绩的敏感性显著提高。与平台经济中的赢家通吃现象类似,表现最好的10%基金获得的净流量是平台前水平的三倍多。这种由平台引发的业绩追逐模式,在中国顶级平台好买网的私人数据中得到了进一步证实。在大规模平台时代,基金经理增加了成为最佳表现者的动机,与此相一致的是,他们增加了风险承担,以提高成为最佳表现者的可能性。同时,由于平台为所有基金提供了公平的竞争环境,基金家族的组织凝聚力减弱。
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引用次数: 13
Uniqueness of Equilibrium Payoffs in the Stochastic Model of Bargaining 议价随机模型中均衡收益的唯一性
Kirill S. Evdokimov
Abstract I provide a sufficient condition for the uniqueness of equilibrium payoffs in a model of stochastic bargaining with unanimity rule and risk-averse players. My Condition (S) implies Condition (C) of Merlo and Wilson (1995) and is easy to verify in applications.
摘要本文给出了具有一致同意规则和风险厌恶参与者的随机议价模型均衡收益的唯一性的充分条件。我的条件(S)隐含Merlo和Wilson(1995)的条件(C),在应用中易于验证。
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引用次数: 2
An Analysis of Uniswap Markets Uniswap市场分析
Guillermo Angeris, Hsien-Tang Kao, Rei Chiang, C. Noyes, Tarun Chitra
Uniswap — and other constant product markets — appear to work well in practice despite their simplicity. In this paper, we give a simple formal analysis of constant product markets and their generalizations, showing that, under some common conditions, these markets must closely track the reference market price. We also show that Uniswap satisfies many other desirable properties and numerically demonstrate, via a large-scale agent-based simulation, that Uniswap is stable under a wide range of market conditions.
Uniswap和其他固定产品市场尽管简单,但在实践中似乎运行良好。本文对不变产品市场及其推广进行了简单的形式化分析,表明在某些常见条件下,这些市场必须密切跟踪参考市场价格。我们还证明了Uniswap满足许多其他理想的特性,并通过大规模基于智能体的模拟在数值上证明了Uniswap在广泛的市场条件下是稳定的。
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引用次数: 143
Performance and Development of a Thin Stock Market 单薄股市的表现与发展
Kristian Rydqvist
We estimate historical stock returns for Swedish listed companies in a newly constructed data set of daily stock prices. Stock returns exhibit all familiar characteristics. There is little trading in the past, and we examine the effects on return measurement from missing data. Stock selection and the replacement of missing transaction prices through search back procedures or limit orders make little difference to a value-weighted stock price index, while ignoring the price effects of capital operations makes a big difference. We also study stock market development. The growth of the public sector depresses the stock market, and the process of globalization revitalizes it. Banks play an important role in the early development of the stock market. The evolution of stock ownership implies that stock ownership is a normal good.
我们用一个新建的每日股票价格数据集来估计瑞典上市公司的历史股票收益。股票回报表现出所有熟悉的特征。过去的交易很少,我们检验了缺失数据对收益度量的影响。股票选择和通过搜索回退程序或限价指令替代缺失交易价格对价值加权股价指数的影响不大,而忽略资本运作的价格效应对价值加权股价指数的影响很大。我们也研究股票市场的发展。公共部门的增长抑制了股票市场,而全球化进程使其恢复活力。银行在股票市场的早期发展中起着重要的作用。股票所有权的演变意味着股票所有权是一种正常的商品。
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引用次数: 2
Implications of Partial Information for Applied Macroeconomic Modelling 部分信息对应用宏观经济模型的影响
A. Pagan, Tim Robinson
Implications of partial information for applied macroeconomic modelling along four dimensions are shown, and analysis provided on how they can be addressed. First, when permanent shocks are present a Vector Error-Correction Model including latent, as well as observed, variables is required to capture macroeconomic dynamics. Second, the assumption in Dynamic Stochastic General Equilibrium models that shocks are autocorrelated provides identifying information usable in Structural Vector AutoRe-gressions. Third, estimating models with more shocks than observed variables must yield correlated estimated structural shocks. Fourth, including measurement error, as commonly specified, implies a lack of co-integration between variables, even when actually present
显示了沿四个维度应用宏观经济建模的部分信息的含义,并分析了如何解决这些问题。首先,当存在永久性冲击时,需要一个包含潜在变量和观察变量的矢量误差修正模型来捕捉宏观经济动态。其次,动态随机一般均衡模型中冲击是自相关的假设为结构向量自回归提供了可用的识别信息。第三,估计具有比观测变量更多的冲击的模型必须产生相关的估计结构冲击。第四,包括通常指定的测量误差,意味着变量之间缺乏协整,即使实际上存在
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引用次数: 2
Does Investor Size Matter? Evidence from Commercial Real Estate Transactions 投资者规模重要吗?来自商业房地产交易的证据
D. Cvijanović, Stanimira Milcheva, Alex M. van de Minne
Employing an efficient Bayesian estimation procedure, Integrated Nested Laplace Approximation (INLA), we find evidence of Investor Size Premium. Controlling for investor skill, financing constraints, and prior market knowledge, as well as property and time-varying location specific factors and property random effects, we find that larger buyers tend to pay a significant price
premium relative to smaller buyers, for the otherwise identical property. Debt plays a role for the length of the holding period. These results point to a significant role of intrinsic valuations and the role of bargaining intensity and can explain why real estate markets are highly segmented.
利用一种有效的贝叶斯估计方法,集成嵌套拉普拉斯近似(INLA),我们找到了投资者规模溢价的证据。控制投资者技能、融资约束、先前的市场知识,以及财产和时变地点特定因素和财产随机效应,我们发现,对于其他方面相同的财产,较大的买家倾向于支付相对较小的买家显著的价格溢价。债务对持有期的长短起着重要作用。这些结果指出了内在估值和议价强度的重要作用,并可以解释为什么房地产市场是高度分割的。
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引用次数: 2
期刊
ERN: Other Microeconomics: General Equilibrium & Disequilibrium Models of Financial Markets (Topic)
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