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Using Decision Trees to Predict Insolvency in Spanish SMEs: Is Early Warning Possible? 利用决策树预测西班牙中小型企业破产:早期预警可行吗?
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-27 DOI: 10.1007/s10614-024-10586-5
Andrés Navarro-Galera, Juan Lara-Rubio, Pavel Novoa-Hernández, Carlos A. Cruz Corona

In today’s economic landscape, with its increasingly brief economic cycles and ever-changing market conditions, forecasting has become more critical than ever. In the specific case of small and medium-sized enterprises (SMEs), a crucial aspect is to anticipate the state of bankruptcy due to the low life expectancy of this type of company. A requirement that has been recommended by several international organizations such as the European Union, especially because SMEs contribute significantly to job creation and added value and to overcoming the effects of economic crises. Despite the progress in this field, there are economies that have been little or poorly addressed by the literature. This is the case for Spain, an economy where SMEs account for a significant share of its business landscape. To close this gap, this paper addressed the problem of predicting the insolvency of Spanish SMEs from a Machine Learning perspective. Leveraging a dataset encompassing financial and non-financial data from 58,267 Spanish SMEs spanning the period 2009–2020, we adjusted several decision tree models to address two scenarios of practical value in the Spanish context. Additionally, we conducted a thorough analysis of the most influential predictors of insolvency from a financial perspective. To empower Spanish SMEs, we provided them with a free software tool implementing the best models for the considered scenarios. The tool is intended to serve as an additional means to proactively and early assess solvency status.

在当今的经济形势下,经济周期越来越短,市场条件瞬息万变,预测变得比以往任何时候都更加重要。就中小型企业(SMEs)的具体情况而言,由于这类企业的预期寿命较短,因此预测破产状态是一个至关重要的方面。欧盟等多个国际组织都提出了这一要求,特别是因为中小型企业对创造就业和附加值以及克服经济危机的影响做出了重大贡献。尽管在这一领域取得了进展,但仍有一些经济体的文献很少或很少涉及。西班牙就是这种情况,在西班牙的经济中,中小型企业占了很大的比重。为了填补这一空白,本文从机器学习的角度探讨了预测西班牙中小型企业破产的问题。利用 2009-2020 年间西班牙 58,267 家中小企业的财务和非财务数据集,我们调整了几个决策树模型,以解决在西班牙背景下具有实用价值的两种情况。此外,我们还从财务角度对最具影响力的破产预测因素进行了深入分析。为了增强西班牙中小型企业的能力,我们为他们提供了一个免费的软件工具,该工具针对所考虑的情况实施最佳模型。该工具旨在作为一种额外的手段,用于积极主动地及早评估偿付能力状况。
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引用次数: 0
Standard Errors for Regression-Based Causal Effect Estimates in Economics Using Numerical Derivatives 使用数值导数计算经济学中基于回归的因果效应估计的标准误差
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-25 DOI: 10.1007/s10614-024-10565-w

Abstract

The aim of nearly all empirical studies in economics is to provide scientific evidence that can be used to assess policy relevant cause-and-effect. In the context of the general potential outcomes framework, we review how a causal effect parameter can be rigorously but tractably specified, identified and estimated along with its asymptotic standard error. For cases in which the analytic and computational requirements for calculation of the ASE are challenging, we suggest the use of numerical derivatives (ND). We detail the specific type of ND software required for this purpose, and note that it is offered as a feature in most statistical packages. As an illustration, we analyze the causal effect of wife's high school graduation on family size using the Stata/Mata deriv command. Code for this example is supplied in an appendix.

摘要 几乎所有经济学实证研究的目的都是提供可用于评估政策相关因果关系的科学证据。在一般潜在结果框架的背景下,我们回顾了如何严格而简便地指定、确定和估计因果效应参数及其渐近标准误差。如果计算 ASE 的分析和计算要求具有挑战性,我们建议使用数值导数(ND)。我们将详细介绍为此目的所需的 ND 软件的具体类型,并指出大多数统计软件包都提供该功能。作为示例,我们使用 Stata/Mata deriv 命令分析了妻子高中毕业对家庭规模的因果效应。本例的代码见附录。
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引用次数: 0
A New Look at Cross-Country Aggregation in the Global VAR Approach: Theory and Monte Carlo Simulation 全球 VAR 方法中的跨国聚合新视角:理论与蒙特卡罗模拟
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-24 DOI: 10.1007/s10614-024-10569-6
Halil Ibrahim Gunduz, Furkan Emirmahmutoglu, M. Eray Yucel

Requirements to understand and forecast the behavior of complex macroeconomic interactions mandate the use of high-dimensional macroeconometric models. The Global Vector Autoregressive (GVAR) modeling technique is very popular among them and it allows researchers and policymakers to take into account both the complex interdependencies that exist between various economic entities and the global economy through the world’s trade and financial channels. However, determining the cross-section unit size while using this approach is not a trivial task. In order to address this issue, we suggest an objective procedure for the detection of the size of the cross-country aggregation in GVAR models. While doing so, we depart from the Akaike Information Criterion (AIC) and propose an analytical modification to it, mainly employing an ad hoc approach without violating Akaike’s main principles. To supplement the theoretical results, small sample performances of those procedures are studied in Monte Carlo experiments as well as implementing our approach on real data. The numerical results suggest that our ad hoc modification of AIC can be used to determine the structure of the cross-section unit dimension in GVAR models, allowing the researchers and policymakers to build parsimonious models.

要了解和预测复杂的宏观经济互动行为,就必须使用高维宏观计量经济学模型。其中,全球向量自回归(GVAR)建模技术非常流行,它使研究人员和政策制定者既能考虑到各经济实体之间存在的复杂相互依存关系,又能通过世界贸易和金融渠道考虑到全球经济。然而,在使用这种方法时,确定横截面单位规模并非易事。为了解决这个问题,我们提出了一种在 GVAR 模型中检测跨国聚合规模的客观程序。在此过程中,我们偏离了阿凯克信息准则(AIC),并对其提出了分析性修改,主要是在不违反阿凯克主要原则的前提下采用一种特别方法。为了补充理论结果,我们在蒙特卡洛实验中研究了这些程序的小样本性能,并在真实数据上实施了我们的方法。数值结果表明,我们对 AIC 的特别修改可用于确定 GVAR 模型中横截面单位维度的结构,从而使研究人员和政策制定者能够建立合理的模型。
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引用次数: 0
On Using Proportional Representation Methods as Alternatives to Pro-rata Based Order Matching Algorithms in Stock Exchanges 论在证券交易所使用比例代表方法替代按比例订单匹配算法
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-21 DOI: 10.1007/s10614-024-10576-7
Sanjay Bhattacherjee, Palash Sarkar

The first observation of the paper is that methods for determining proportional representation in electoral systems may be suitable as alternatives to the pro-rata order matching algorithm used in stock exchanges. The main part of our work is to comprehensively consider various well known proportional representation methods and analyse in details their suitability for replacing the pro-rata algorithm. Our analysis consists of a theoretical study as well as simulation studies based on data sampled from a distribution which has been suggested in the literature as models of limit orders. Based on our analysis, we put forward the suggestion that the well known Hamilton’s method is a superior alternative to the pro-rata algorithm for order matching applications.

本文的第一个观点是,在选举制度中确定比例代表制的方法可能适合替代证券交易所使用的按比例订单匹配算法。我们工作的主要部分是全面考虑各种众所周知的比例代表制方法,并详细分析它们是否适合取代按比例算法。我们的分析包括理论研究和模拟研究,模拟研究的基础是从文献中建议作为限价订单模型的分布中采样的数据。根据我们的分析,我们提出了一个建议,即在订单匹配应用中,众所周知的汉密尔顿方法是按比例算法的优越替代品。
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引用次数: 0
Portfolio Optimization Using Novel EW-MV Method in Conjunction with Asset Preselection 利用结合资产预选的新型 EW-MV 方法优化投资组合
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-19 DOI: 10.1007/s10614-024-10583-8
Priya Singh, Manoj Jha

Integration of asset preselection with appropriate portfolio optimization techniques can improve the performance of the portfolio optimization models. This paper morphed the potential asset selection and the optimal portfolio construction rather than focusing on one. A large volume of sample data from 25 stocks is used for the experiment from the National Stock Exchange, India, between January 2005 and December 2021. Initially, a 3-step screening approach, an asset selection method is applied to select potential assets. The 3-steps comprise data choice, fundamental screening, and the Long Short Term Memory model anticipating real-time stock prices to shortlist stocks with higher expected returns. The suggested approach is effective in determining the quality of assets. Further, the optimal asset allocation is done by introducing a novel exponentially weighted-mean-variance model. This exponential weighting scheme outperforms the classical Mean-Variance model when applied to the maximum Sharpe ratio model. The proposed model outperforms the five baseline techniques in terms of the Sharpe ratio and average potential returns and risks. Additionally, the proposed model’s resilience across diversified time frames is tested through the incorporation of multiple time windows, demonstrating robustness of the performance.

将资产预选与适当的投资组合优化技术相结合,可以提高投资组合优化模型的性能。本文将潜在资产选择与最优投资组合构建相结合,而不是只关注其中一个。实验使用了印度国家证券交易所 2005 年 1 月至 2021 年 12 月期间 25 只股票的大量样本数据。首先,采用三步筛选法,即资产选择法来选择潜在资产。这 3 个步骤包括数据选择、基本面筛选和预测实时股票价格的长期短期记忆模型,以筛选出预期收益较高的股票。建议的方法能有效确定资产的质量。此外,通过引入一个新颖的指数加权均值方差模型,实现了最优资产配置。当应用于最大夏普比率模型时,这种指数加权方案优于经典的平均方差模型。就夏普比率以及平均潜在收益和风险而言,拟议模型优于五种基准技术。此外,通过纳入多个时间窗口,测试了拟议模型在不同时间框架内的弹性,证明了其性能的稳健性。
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引用次数: 0
A General and Efficient Method for Solving Regime-Switching DSGE Models 解决制度转换 DSGE 模型的通用高效方法
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-17 DOI: 10.1007/s10614-024-10570-z
Julien Albertini, Stéphane Moyen

This paper provides a general representation of endogenous and threshold-based regime-switching models while also developing an efficient numerical solution method. Regime-switching occurs endogenously when certain variables cross threshold conditions that can themselves be regime-dependent. We illustrate our approach using a RBC model with state-dependent government spending policies. It is shown that regime-switching models involve strong non linearities and discontinuities in the dynamics of the model. However, our numerical solution which relies on simulation and projection methods with regime-dependent policy rules, proves to be accurate and sufficiently fast address these challenging aspects. Several also explore several alternative specifications for the model and the method.

本文提供了内生和基于阈值的制度转换模型的一般表示方法,同时还开发了一种高效的数值求解方法。当某些变量越过阈值条件时,就会发生内生的制度转换,而这些阈值条件本身可能与制度相关。我们使用一个依赖于国家的政府支出政策的 RBC 模型来说明我们的方法。结果表明,制度转换模型涉及模型动态中的强非线性和不连续性。然而,我们的数值解决方案依赖于模拟和预测方法,并采用与制度相关的政策规则,证明能够准确、快速地解决这些具有挑战性的问题。我们还探讨了模型和方法的几种替代规格。
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引用次数: 0
Evaluating Density Forecasts Using Weighted Multivariate Scores in a Risk Management Context 在风险管理背景下使用加权多变量得分评估密度预测
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-16 DOI: 10.1007/s10614-024-10571-y
Jie Cheng

Scoring rules are commonly applied to assess the accuracy of density forecasts in both univariate and multivariate settings. In a financial risk management context, we are mostly interested in a particular region of the density: the (left) tail of a portfolio’s return distribution. The dependence structure between returns on different assets (associated with a given portfolio) is usually time-varying and asymmetric. In this paper, we conduct a simulation study to compare the discrimination ability between the well-established scores and their threshold-weighted versions with selected regions. This facilitates a comprehensive comparison of the performance of scoring rules in different settings. Our empirical applications also confirm the importance of weighted-threshold scores for accurate estimates of Value-at-risk and related measures of downside risk.

评分规则通常用于评估单变量和多变量情况下密度预测的准确性。在金融风险管理中,我们主要关注密度的一个特定区域:投资组合收益分布的(左)尾部。不同资产(与给定投资组合相关)收益之间的依赖结构通常是时变和非对称的。在本文中,我们进行了一项模拟研究,以比较既定评分及其阈值加权版本与选定区域的区分能力。这有助于全面比较评分规则在不同环境下的表现。我们的实证应用也证实了加权阈值评分对于准确估算风险价值和相关下行风险度量的重要性。
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引用次数: 0
Debt Stabilisation and Dynamic Interaction Between Monetary Authority and National Fiscal Authorities 债务稳定与货币当局和国家财政当局之间的动态互动
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-16 DOI: 10.1007/s10614-024-10561-0
Luca Gori, Francesco Purificato, Mauro Sodini

The main aim of the present research is to consider a monetary union’s economy consisting of N countries, N fiscal authorities (one for each country) and a single monetary authority. The fiscal authorities want to stabilise output and public debt through the primary government balance, and they can exhibit heterogeneous preferences about the trade-off between output and debt stability. Unlike these, the monetary authority has the aim of price and output stability. They play a non-cooperative policy game, in which they independently and simultaneously choose monetary and fiscal instruments to pursue their goals. In a dynamic setting, each authority must choose its policy instrument prevailing in the next period without knowing—at the end of each period—the choice of other authorities. By assuming static expectations, the present work shows the possibility of several dynamic outcomes. First, there exists one Nash equilibrium representing the optimal level for the macro economy; this equilibrium is stable if the average weight that fiscal authorities assign to output stability is not excessively high; therefore, this result holds even if some authorities are less willing to promote debt stabilisation. Second, in addition to this equilibrium, there exist other Nash equilibria representing steady-state values for macroeconomic variables that differ from the targets adopted by the authorities; these equilibria emerge and are stable if the authorities’ preference for output stability is even greater and with a higher degree of heterogeneity compared to the previous case. Third, the parameters of the model matter to determine the stability properties of the equilibria, and the analysis shows the possibility of nonlinear dynamics.

本研究的主要目的是考虑一个由 N 个国家、N 个财政当局(每个国家一个)和一个货币当局组成的货币联盟经济。财政当局希望通过政府收支基本平衡来稳定产出和公共债务,他们可以在产出和债务稳定之间表现出不同的偏好。与之不同的是,货币当局的目标是稳定价格和产出。他们进行的是一种非合作性政策博弈,在这种博弈中,他们独立地同时选择货币和财政工具来实现自己的目标。在动态环境中,每个当局都必须在不知道其他当局的选择的情况下选择下一期的政策工具。通过假设静态预期,本研究显示了几种动态结果的可能性。首先,存在一个代表宏观经济最优水平的纳什均衡;如果财政当局对产出稳定性的平均权重不是过高,这个均衡就是稳定的;因此,即使有些当局不太愿意促进债务稳定,这个结果也是成立的。其次,除了这一均衡外,还存在其他纳什均衡,代表宏观经济变量的稳态值与当局采用的目标不同;如果当局对产出稳定的偏好比前一种情况更大且异质性更高,这些均衡就会出现并保持稳定。第三,模型参数对确定均衡的稳定性非常重要,分析表明了非线性动态的可能性。
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引用次数: 0
Estimation of Models for Stock Returns 股票收益模型的估计
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-15 DOI: 10.1007/s10614-024-10580-x

Abstract

Composite distributions where volatility itself is assumed to be a random variable have been used to model stock returns. In this paper, we give details of estimation of these composite distributions when the volatility is assumed to follow an arbitrary distribution and the conditional distribution of stock returns given the volatility follows one of normal, Laplace, uniform, Student’s t, Cauchy, logistic of type I, logistic of type II, logistic of type III, logistic of type IV, generalized normal or skew normal distributions. The details given include estimating equations and observed information matrices. An application to Bitcoin exchange rate data is illustrated. Models taking volatility to follow gamma and Weibull distributions are shown to provide excellent fits.

摘要 假定波动率本身是一个随机变量的复合分布已被用于建立股票收益模型。本文详细介绍了在假定波动率服从任意分布且股票收益率的条件分布服从正态分布、拉普拉斯分布、均匀分布、Student's t 分布、Cauchy 分布、I 型 logistic 分布、II 型 logistic 分布、III 型 logistic 分布、IV 型 logistic 分布、广义正态分布或偏斜正态分布时如何估计这些复合分布。给出的细节包括估计方程和观测信息矩阵。对比特币汇率数据的应用进行了说明。将波动率视为伽马分布和威布尔分布的模型提供了很好的拟合效果。
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引用次数: 0
Robust Prediction Intervals for Valuation of Large Portfolios of Variable Annuities: A Comparative Study of Five Models 大型变额年金组合估值的稳健预测区间:五种模型的比较研究
IF 2 4区 经济学 Q2 ECONOMICS Pub Date : 2024-03-15 DOI: 10.1007/s10614-024-10574-9
Tingting Sun, Haoyuan Wang, Donglin Wang

Valuation of large portfolios of variable annuities (VAs) is a well-researched area in the actuarial science field. However, the study of producing reliable prediction intervals for prices has received comparatively less attention. Compared to point prediction, the prediction interval can calculate a reasonable price range of VAs and help investors and insurance companies better manage risk to maintain profitability and sustainability. In this study, we address this gap by utilizing five different models in conjunction with bootstrapping techniques to generate robust prediction intervals for variable annuity prices. Our findings show that the Gradient Boosting regression (GBR) model provides the narrowest intervals compared to the other four models. While the Random sample consensus (RANSAC) model has the highest coverage rate, but it has the widest interval. In practical applications, considering the trade-off between coverage rate and interval width, the GBR model would be a preferred choice. Therefore, we recommend using the gradient boosting model with the bootstrap method to calculate the prediction interval of valuation for a large portfolio of variable annuity policies.

对变额年金(VAs)的大型投资组合进行估值是精算科学领域中一个研究较多的领域。然而,关于如何得出可靠的价格预测区间的研究却相对较少受到关注。与点预测相比,预测区间可以计算出变额保险的合理价格范围,帮助投资者和保险公司更好地管理风险,保持盈利能力和可持续性。在本研究中,我们利用五种不同的模型,结合引导技术,生成了稳健的变额年金价格预测区间,从而弥补了这一不足。我们的研究结果表明,与其他四个模型相比,梯度提升回归(GBR)模型提供的区间最窄。随机抽样共识(RANSAC)模型的覆盖率最高,但区间最宽。在实际应用中,考虑到覆盖率和区间宽度之间的权衡,GBR 模型将是首选。因此,我们建议使用梯度提升模型和引导法来计算大型变额年金保单组合的估值预测区间。
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引用次数: 0
期刊
Computational Economics
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