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The Theory of Intrinsic Time: A Primer 内在时间理论:入门指南
Pub Date : 2024-06-11 DOI: arxiv-2406.07354
James B. Glattfelder, Richard B. Olsen
The concept of time mostly plays a subordinate role in finance and economics.The assumption is that time flows continuously and that time series data shouldbe analyzed at regular, equidistant intervals. Nonetheless, already nearly 60years ago, the concept of an event-based measure of time was first introduced.This paper expands on this theme by discussing the paradigm of intrinsic time,its origins, history, and modern applications. Departing from traditional,continuous measures of time, intrinsic time proposes an event-based,algorithmic framework that captures the dynamic and fluctuating nature ofreal-world phenomena more accurately. Unsuspected implications arise in generalfor complex systems and specifically for financial markets. For instance, novelstructures and regularities are revealed, otherwise obscured by any analysisutilizing equidistant time intervals. Of particular interest is the emergenceof a multiplicity of scaling laws, a hallmark signature of an underlyingorganizational principle in complex systems. Moreover, a central insight fromthis novel paradigm is the realization that universal time does not exist;instead, time is observer-dependent, shaped by the intrinsic activity unfoldingwithin complex systems. This research opens up new avenues for economicmodeling and forecasting, paving the way for a deeper understanding of theinvisible forces that guide the evolution and emergence of market dynamics andfinancial systems. An exciting and rich landscape of possibilities emergeswithin the paradigm of intrinsic time.
时间的概念在金融和经济学中大多处于从属地位,其假设是时间是连续流动的,时间序列数据应按固定的等间距进行分析。然而,早在近 60 年前,基于事件的时间度量概念就已被首次提出。本文通过讨论内在时间范式、其起源、历史和现代应用,对这一主题进行了进一步阐述。与传统的连续时间测量方法不同,固有时间提出了一种基于事件的算法框架,能更准确地捕捉现实世界现象的动态和波动性质。这对复杂系统,特别是金融市场产生了意想不到的影响。例如,新的结构和规律性被揭示出来,否则任何利用等距时间间隔进行的分析都会掩盖这些结构和规律性。尤其令人感兴趣的是出现了多种缩放规律,这是复杂系统中基本组织原理的标志性特征。此外,这一新颖范式的核心洞察力是认识到普遍时间并不存在;相反,时间取决于观察者,是由复杂系统中展开的内在活动决定的。这项研究为经济建模和预测开辟了新的途径,为深入了解引导市场动态和金融系统演变和出现的无形力量铺平了道路。在固有时间的范式中,出现了令人兴奋的丰富可能性。
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引用次数: 0
Dissecting Multifractal detrended cross-correlation analysis 剖析多分形去趋势交叉相关分析
Pub Date : 2024-06-09 DOI: arxiv-2406.19406
Borko Stosic, Tatijana Stosic
In this work we address the question of the Multifractal detrendedcross-correlation analysis method that has been subject to some controversiessince its inception almost two decades ago. To this end we propose several newoptions to deal with negative cross-covariance among two time series, that mayserve to construct a more robust view of the multifractal spectrum among theseries. We compare these novel options with the proposals already existing inthe literature, and we provide fast code in C, R and Python for both new andthe already existing proposals. We test different algorithms on syntheticseries with an exact analytical solution, as well as on daily price series ofethanol and sugar in Brazil from 2010 to 2023.
多分形去趋势交叉相关分析方法自二十年前问世以来,一直饱受争议。为此,我们提出了几种新的方案来处理两个时间序列之间的负交叉协方差,这些方案可能有助于构建一个更稳健的序列间多分形频谱视图。我们将这些新方案与文献中已有的方案进行了比较,并为新方案和已有方案提供了 C、R 和 Python 快速代码。我们在具有精确解析解的合成序列以及 2010 年至 2023 年巴西乙醇和糖的每日价格序列上测试了不同的算法。
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引用次数: 0
Investigating the price determinants of the European Emission Trading System: a non-parametric approach 调查欧洲排放交易体系的价格决定因素:一种非参数方法
Pub Date : 2024-06-07 DOI: arxiv-2406.05094
Cristiano Salvagnin, Aldo Glielmo, Maria Elena De Giuli, Antonietta Mira
The European carbon market plays a pivotal role in the European Union'sambitious target of achieving carbon neutrality by 2050. Understanding theintricacies of factors influencing European Union Emission Trading System (EUETS) market prices is paramount for effective policy making and strategyimplementation. We propose the use of the Information Imbalance, a recentlyintroduced non-parametric measure quantifying the degree to which a set ofvariables is informative with respect to another one, to study therelationships among macroeconomic, economic, uncertainty, and energy variablesconcerning EU ETS prices. Our analysis shows that in Phase 3 commodity relatedvariables such as the ERIX index are the most informative to explain thebehaviour of the EU ETS market price. Transitioning to Phase 4, financialfluctuations take centre stage, with the uncertainty in the EUR/CHF exchangerate emerging as a crucial determinant. These results reflect the disruptiveimpacts of the COVID-19 pandemic and the energy crisis in reshaping theimportance of the different variables. Beyond variable analysis, we alsopropose to leverage the Information Imbalance to address the problem ofmixed-frequency forecasting, and we identify the weekly time scale as the mostinformative for predicting the EU ETS price. Finally, we show how theInformation Imbalance can be effectively combined with Gaussian Processregression for efficient nowcasting and forecasting using very small sets ofhighly informative predictors.
欧洲碳市场在欧盟到 2050 年实现碳中和的宏伟目标中发挥着举足轻重的作用。了解影响欧盟排放交易体系(EUETS)市场价格的各种因素的复杂性,对于有效的政策制定和战略实施至关重要。我们建议使用 "信息不平衡 "来研究与欧盟排放交易体系价格相关的宏观经济、经济、不确定性和能源变量之间的关系。"信息不平衡 "是最近推出的一种非参数测量方法,用于量化一组变量相对于另一组变量的信息程度。我们的分析表明,在第 3 阶段,与商品相关的变量(如 ERIX 指数)对解释欧盟排放交易计划市场价格的行为最有参考价值。进入第 4 阶段后,金融波动占据了中心位置,欧元/瑞士法郎汇率的不确定性成为关键的决定因素。这些结果反映了 COVID-19 大流行和能源危机在重塑不同变量重要性方面的破坏性影响。除了变量分析,我们还提出利用信息不平衡来解决混合频率预测问题,并确定周时间尺度是预测欧盟排放交易计划价格最有信息价值的时间尺度。最后,我们展示了如何将信息失衡与高斯过程回归有效结合,从而利用极少量的高信息量预测因子进行高效的现在预测和预测。
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引用次数: 0
Temporal distribution of clusters of investors and their application in prediction with expert advice 投资者集群的时间分布及其在专家建议预测中的应用
Pub Date : 2024-06-04 DOI: arxiv-2406.19403
Wojciech Wisniewski, Yuri Kalnishkan, David Lindsay, Siân Lindsay
Financial organisations such as brokers face a significant challenge inservicing the investment needs of thousands of their traders worldwide. Thistask is further compounded since individual traders will have their own riskappetite and investment goals. Traders may look to capture short-term trends inthe market which last only seconds to minutes, or they may have longer-termviews which last several days to months. To reduce the complexity of this task,client trades can be clustered. By examining such clusters, we would likelyobserve many traders following common patterns of investment, but how do thesepatterns vary through time? Knowledge regarding the temporal distributions ofsuch clusters may help financial institutions manage the overall portfolio ofrisk that accumulates from underlying trader positions. This study contributesto the field by demonstrating that the distribution of clusters derived fromthe real-world trades of 20k Foreign Exchange (FX) traders (from 2015 to 2017)is described in accordance with Ewens' Sampling Distribution. Further, we showthat the Aggregating Algorithm (AA), an on-line prediction with expert advicealgorithm, can be applied to the aforementioned real-world data in order toimprove the returns of portfolios of trader risk. However we found that the AA'struggles' when presented with too many trader ``experts'', especially whenthere are many trades with similar overall patterns. To help overcome thischallenge, we have applied and compared the use of Statistically ValidatedNetworks (SVN) with a hierarchical clustering approach on a subset of the data,demonstrating that both approaches can be used to significantly improve resultsof the AA in terms of profitability and smoothness of returns.
经纪商等金融组织面临着一项重大挑战,即如何满足全球成千上万交易者的投资需求。由于每个交易者都有自己的风险偏好和投资目标,因此这项任务变得更加复杂。交易者可能希望捕捉仅持续几秒到几分钟的短期市场趋势,也可能有持续几天到几个月的长期观点。为了降低这项任务的复杂性,可以对客户交易进行分组。通过研究这些聚类,我们很可能会发现许多交易者遵循着共同的投资模式,但这些模式在时间上是如何变化的呢?了解这些集群的时间分布有助于金融机构管理由潜在交易者头寸累积而成的整体风险组合。本研究证明,从 20k 名外汇(FX)交易者(2015 年至 2017 年)的真实交易中得出的集群分布符合尤文斯抽样分布(Ewens' Sampling Distribution),从而为该领域做出了贡献。此外,我们还展示了聚合算法(AA),一种带有专家建议的在线预测算法,可应用于上述真实世界数据,以提高交易者风险组合的收益。然而,我们发现,当交易者 "专家 "过多时,特别是当许多交易的整体模式相似时,AA 就会陷入 "困境"。为了帮助克服这一挑战,我们在数据子集上应用并比较了统计验证网络(SVN)和分层聚类方法的使用,结果表明,这两种方法都能在收益率和收益平稳性方面显著改善 AA 的结果。
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引用次数: 0
Machine Learning Methods for Pricing Financial Derivatives 金融衍生品定价的机器学习方法
Pub Date : 2024-06-01 DOI: arxiv-2406.00459
Lei Fan, Justin Sirignano
Stochastic differential equation (SDE) models are the foundation for pricingand hedging financial derivatives. The drift and volatility functions in SDEmodels are typically chosen to be algebraic functions with a small number (lessthan 5) parameters which can be calibrated to market data. A more flexibleapproach is to use neural networks to model the drift and volatility functions,which provides more degrees-of-freedom to match observed market data. Trainingof models requires optimizing over an SDE, which is computationallychallenging. For European options, we develop a fast stochastic gradientdescent (SGD) algorithm for training the neural network-SDE model. Our SGDalgorithm uses two independent SDE paths to obtain an unbiased estimate of thedirection of steepest descent. For American options, we optimize over thecorresponding Kolmogorov partial differential equation (PDE). The neuralnetwork appears as coefficient functions in the PDE. Models are trained onlarge datasets (many contracts), requiring either large simulations (many MonteCarlo samples for the stock price paths) or large numbers of PDEs (a PDE mustbe solved for each contract). Numerical results are presented for real marketdata including S&P 500 index options, S&P 100 index options, and single-stockAmerican options. The neural-network-based SDE models are compared against theBlack-Scholes model, the Dupire's local volatility model, and the Heston model.Models are evaluated in terms of how accurate they are at pricing out-of-samplefinancial derivatives, which is a core task in derivative pricing at financialinstitutions.
随机微分方程(SDE)模型是金融衍生品定价和对冲的基础。SDE 模型中的漂移和波动函数通常选择为代数函数,参数数量较少(少于 5 个),可以根据市场数据进行校准。更灵活的方法是使用神经网络来建立漂移和波动函数模型,这样可以提供更多的自由度来匹配观察到的市场数据。模型的训练需要对 SDE 进行优化,这在计算上具有挑战性。针对欧式期权,我们开发了一种用于训练神经网络-SDE 模型的快速随机梯度下降(SGD)算法。我们的 SGD 算法使用两条独立的 SDE 路径来获得对最陡下降方向的无偏估计。对于美式期权,我们对相应的 Kolmogorov 偏微分方程(PDE)进行优化。神经网络作为系数函数出现在 PDE 中。模型在大型数据集(许多合约)上进行训练,这需要大量模拟(许多 MonteCarlo 股票价格路径样本)或大量 PDE(必须为每个合约求解一个 PDE)。本文介绍了真实市场数据的数值结果,包括标准普尔 500 指数期权、标准普尔 100 指数期权和单股美式期权。基于神经网络的 SDE 模型与 Black-Scholes 模型、Dupire 局部波动率模型和 Heston 模型进行了比较,并根据模型在样本外金融衍生品定价方面的准确性进行了评估,而样本外金融衍生品定价是金融机构衍生品定价的核心任务。
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引用次数: 0
Identifying Extreme Events in the Stock Market: A Topological Data Analysis 识别股市极端事件:拓扑数据分析
Pub Date : 2024-05-25 DOI: arxiv-2405.16052
Anish Rai, Buddha Nath Sharma, Salam Rabindrajit Luwang, Md. Nurujjaman, Sushovan Majhi
This paper employs Topological Data Analysis (TDA) to detect extreme events(EEs) in the stock market at a continental level. Previous approaches, whichanalyzed stock indices separately, could not detect EEs for multiple timeseries in one go. TDA provides a robust framework for such analysis andidentifies the EEs during the crashes for different indices. The TDA analysisshows that $L^1$, $L^2$ norms and Wasserstein distance ($W_D$) of the worldleading indices rise abruptly during the crashes, surpassing a threshold of$mu+4*sigma$ where $mu$ and $sigma$ are the mean and the standard deviationof norm or $W_D$, respectively. Our study identified the stock index crashes ofthe 2008 financial crisis and the COVID-19 pandemic across continents as EEs.Given that different sectors in an index behave differently, a sector-wiseanalysis was conducted during the COVID-19 pandemic for the Indian stockmarket. The sector-wise results show that after the occurrence of EE, we haveobserved strong crashes surpassing $mu+2*sigma$ for an extended period forthe banking sector. While for the pharmaceutical sector, no significant spikeswere noted. Hence, TDA also proves successful in identifying the duration ofshocks after the occurrence of EEs. This also indicates that the Banking sectorcontinued to face stress and remained volatile even after the crash. This studygives us the applicability of TDA as a powerful analytical tool to study EEs invarious fields.
本文采用拓扑数据分析(TDA)方法,从大陆层面检测股票市场的极端事件(EEs)。以往分别分析股票指数的方法无法一次性检测出多个时间序列的 EE。TDA 为此类分析提供了一个稳健的框架,并能识别不同指数在暴跌期间的 EE。TDA 分析表明,全球主要指数的 $L^1$、$L^2$ 准则和 Wasserstein 距离($W_D$)在股灾期间突然上升,超过了$mu+4*sigma$ 的临界值,其中$mu$ 和$sigma$ 分别是准则或 $W_D$ 的均值和标准偏差。我们的研究将 2008 年金融危机的股指暴跌和 COVID-19 在各大洲的大流行确定为 EE。鉴于指数中不同板块的表现不同,我们在 COVID-19 大流行期间对印度股市进行了板块分析。行业分析结果表明,在 EE 发生后,我们观察到银行业在很长一段时间内出现了超过 $mu+2*sigma$ 的强烈暴跌。而医药行业则没有发现明显的峰值。因此,TDA 在识别 EE 发生后的冲击持续时间方面也被证明是成功的。这也表明,即使在股灾发生后,银行业仍然面临压力并保持波动。这项研究让我们看到了 TDA 作为一种强大的分析工具在研究各个领域的 EEs 时的适用性。
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引用次数: 0
An empirical study of market risk factors for Bitcoin 比特币市场风险因素实证研究
Pub Date : 2024-05-24 DOI: arxiv-2406.19401
Shubham Singh
The study examines whether broader market factors and the Fama-Frenchthree-factor model can effectively analyze the idiosyncratic risk and returncharacteristics of Bitcoin. By incorporating Fama-french factors, theexplanatory power of these factors on Bitcoin's excess returns over variousmoving average periods is tested. The analysis aims to determine if equitymarket factors are significant in explaining and modeling systemic risk inBitcoin.
本研究探讨了更广泛的市场因素和法玛-法式三因素模型能否有效分析比特币的特异风险和收益特征。通过纳入法玛-法式因子,测试了这些因子在不同移动平均期间对比特币超额收益的解释力。该分析旨在确定股票市场因素在解释和模拟比特币系统性风险方面是否重要。
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引用次数: 0
Decision Trees for Intuitive Intraday Trading Strategies 直观日内交易策略的决策树
Pub Date : 2024-05-22 DOI: arxiv-2405.13959
Prajwal Naga, Dinesh Balivada, Sharath Chandra Nirmala, Poornoday Tiruveedi
This research paper aims to investigate the efficacy of decision trees inconstructing intraday trading strategies using existing technical indicatorsfor individual equities in the NIFTY50 index. Unlike conventional methods thatrely on a fixed set of rules based on combinations of technical indicatorsdeveloped by a human trader through their analysis, the proposed approachleverages decision trees to create unique trading rules for each stock,potentially enhancing trading performance and saving time. By extensivelybacktesting the strategy for each stock, a trader can determine whether toemploy the rules generated by the decision tree for that specific stock. Whilethis method does not guarantee success for every stock, decision treebasedstrategies outperform the simple buy-and-hold strategy for many stocks. Theresults highlight the proficiency of decision trees as a valuable tool forenhancing intraday trading performance on a stock-by-stock basis and could beof interest to traders seeking to improve their trading strategies.
本文旨在研究决策树利用现有技术指标为 NIFTY50 指数中的个股构建盘中交易策略的功效。传统方法依赖于一套固定的规则,这些规则基于人类交易员通过分析制定的技术指标组合,与之不同的是,本文提出的方法利用决策树为每只股票创建独特的交易规则,从而提高交易绩效并节省时间。通过对每只股票的策略进行广泛的回溯测试,交易者可以决定是否对该特定股票采用决策树生成的规则。虽然这种方法不能保证每只股票都能成功,但基于决策树的策略在许多股票上都优于简单的买入并持有策略。这些结果凸显了决策树作为一种有价值的工具,在逐个股票的基础上提高日内交易绩效方面的能力,并可能引起寻求改进其交易策略的交易者的兴趣。
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引用次数: 0
Predicting Customer Goals in Financial Institution Services: A Data-Driven LSTM Approach 预测金融机构服务中的客户目标:数据驱动的 LSTM 方法
Pub Date : 2024-05-22 DOI: arxiv-2406.19399
Andrew Estornell, Stylianos Loukas Vasileiou, William Yeoh, Daniel Borrajo, Rui Silva
In today's competitive financial landscape, understanding and anticipatingcustomer goals is crucial for institutions to deliver a personalized andoptimized user experience. This has given rise to the problem of accuratelypredicting customer goals and actions. Focusing on that problem, we usehistorical customer traces generated by a realistic simulator and present twosimple models for predicting customer goals and future actions -- an LSTM modeland an LSTM model enhanced with state-space graph embeddings. Our resultsdemonstrate the effectiveness of these models when it comes to predictingcustomer goals and actions.
在当今竞争激烈的金融环境中,了解和预测客户目标对于机构提供个性化和优化的用户体验至关重要。这就产生了准确预测客户目标和行动的问题。针对这一问题,我们利用现实模拟器生成的历史客户痕迹,提出了预测客户目标和未来行动的两个简单模型--一个 LSTM 模型和一个用状态空间图嵌入增强的 LSTM 模型。我们的结果证明了这些模型在预测客户目标和行动方面的有效性。
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引用次数: 0
A K-means Algorithm for Financial Market Risk Forecasting 用于金融市场风险预测的 K-means 算法
Pub Date : 2024-05-21 DOI: arxiv-2405.13076
Jinxin Xu, Kaixian Xu, Yue Wang, Qinyan Shen, Ruisi Li
Financial market risk forecasting involves applying mathematical models,historical data analysis and statistical methods to estimate the impact offuture market movements on investments. This process is crucial for investorsto develop strategies, financial institutions to manage assets and regulatorsto formulate policy. In today's society, there are problems of high error rateand low precision in financial market risk prediction, which greatly affect theaccuracy of financial market risk prediction. K-means algorithm in machinelearning is an effective risk prediction technique for financial market. Thisstudy uses K-means algorithm to develop a financial market risk predictionsystem, which significantly improves the accuracy and efficiency of financialmarket risk prediction. Ultimately, the outcomes of the experiments confirmthat the K-means algorithm operates with user-friendly simplicity and achievesa 94.61% accuracy rate
金融市场风险预测涉及应用数学模型、历史数据分析和统计方法来估计未来市场波动对投资的影响。这一过程对于投资者制定战略、金融机构管理资产和监管机构制定政策都至关重要。当今社会,金融市场风险预测存在误差率高、精度低的问题,极大地影响了金融市场风险预测的准确性。机器学习中的 K-means 算法是一种有效的金融市场风险预测技术。本研究利用 K-means 算法开发了金融市场风险预测系统,大大提高了金融市场风险预测的准确性和效率。最终,实验结果证实,K-means 算法操作简便,准确率达到 94.61%。
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引用次数: 0
期刊
arXiv - QuantFin - Statistical Finance
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