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Analyzing a macroprudential instrument during the COVID-19 pandemic using border collision bifurcation 基于边界碰撞分岔的COVID-19大流行期间宏观审慎工具分析
Pub Date : 2021-12-31 DOI: 10.24309/recta.2021.22.2.04
Monch. Fandi Ansori, N. Sumarti, K. A. Sidarto, I. Gunadi
Bank Indonesia, el banco central de Indonesia, ha realizado ajustes en un instrumento de política macroprudencial llamado índice de intermediación macroprudencial (IIM) para impulsar el crecimiento de los préstamos en el contexto de la recuperación económica nacional debido a la pandemia de COVID-19. En este artículo, se desarrolla un modelo dinámico de préstamo bancario con comportamiento procíclico, y se equipa con el instrumento predecesor del IIM denominado requerimiento de reserva basado en la relación préstamo-depósito (RR-RPD). Examinamos los efectos de los parámetros RR-RPD en la dinámica del préstamo utilizando el análisis de bifurcación de colisión de fronteras para determinar los valores umbral de los parámetros RR-RPD para que se pueda mantener la estabilidad del equilibrio del préstamo. Este modelo se aplica a los datos mensuales de los bancos comerciales de Indonesia antes y durante la pandemia de COVID-19 para evaluar la región de estabilidad de los parámetros del instrumento.Alternate :Bank Indonesia, the central bank of Indonesia, has made adjustment settings in a macroprudential policy instrument called macroprudential intermediation ratio (MIR) to boost loan growth in the context of national economic recovery due to the COVID-19 pandemic. In this paper, a dynamic model of bank loan with procyclicality behavior is developed, and it is equipped with the predecessor of the MIR instrument called loan-to-deposit ratio based reserve requirement (LDR-RR). We examine the effects of LDR-RR parameters on the dynamics of loan using the border collision bifurcation analysis to determine the threshold values of the LDR-RR parameters so that the stability of loan equilibrium can be maintained. This model is applied to monthly data of Indonesian commercial banks before and during the COVID-19 pandemic to assess the stability region of the instrument parameters.
印度尼西亚中央银行对宏观审慎政策工具宏观审慎中介指数(IIM)进行了调整,以在COVID-19大流行导致国家经济复苏的背景下促进贷款增长。本文提出了一种动态的银行贷款模型,该模型具有周期性行为,并与IIM的前人工具——基于贷款-存款关系的准备金要求(rrr - rpd)相结合。我们研究了RR-RPD参数对贷款动态的影响,使用边界碰撞分叉分析来确定RR-RPD参数的阈值,以保持贷款平衡的稳定性。该模型应用于COVID-19大流行之前和期间印度尼西亚商业银行的月度数据,以评估仪器参数的稳定区域。替代方案:印度尼西亚银行,即印度尼西亚中央银行,在新冠肺炎大流行导致国家经济复苏的背景下,通过宏观审慎政策工具宏观审慎中介比率(MIR)进行了调整,以促进贷款增长。本文开发了一个具有顺周期行为的动态银行贷款模型,并配备了MIR工具的前身,即贷款与存款比率基础准备金要求(LDR-RR)。我们利用边界碰撞分叉分析来确定LDR-RR参数的阈值,从而保持贷款平衡的稳定性,探讨LDR-RR参数对贷款动态的影响。该模型应用于COVID-19大流行之前和期间印尼商业银行的月度数据,以评估仪器参数的稳定性区域。
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引用次数: 2
The Gini index: A proposal for revision 基尼系数:修订建议
Pub Date : 2020-12-31 DOI: 10.24309/RECTA.2020.21.1.01
U. Carrascal
The Gini index is widely used in statistics for the study of equity in the distribution of a variable. However, its definition has several formulations and its use sometimes has hidden problems that can lead to incorrect conclusions. That is the reason why it is necessary to make some remarks this regard and even formulate some proposals to clarify some errors on its definition and use. We present an alternative to solve this error in one of the most popular formulas of the Gini index.
基尼系数在统计学中被广泛用于研究一个变量分配的公平性。然而,它的定义有几个公式,它的使用有时有隐藏的问题,可能导致不正确的结论。因此,有必要就此发表一些评论,甚至提出一些建议,澄清其定义和使用上的一些错误。我们提出了另一种方法来解决基尼指数最流行的公式之一中的这个错误。
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引用次数: 0
The Ornstein-Uhlenbeck process to model the deposit volume of non-maturing assets in Colombia 利用Ornstein-Uhlenbeck过程对哥伦比亚未到期资产的存储量进行建模
Pub Date : 2020-12-31 DOI: 10.24309/RECTA.2020.21.2.02
Juan F. Rendón, Alfredo Trespalacios, Diana Pacheco
The accurate comprehension of the risk drivers of different depository institutions is the key to their sustainable operation. In this paper, we analyze two stochastic approaches to model Non-Maturing Assets (NMAs) employing an Ornstein–Uhlenbeck process that can be used for the evaluation of the liquidity and interest risk of savings accounts in banks. We detail the models’ specifications, parameters, and simulation results. Furthermore, we examine the regular patterns, throughout the year, of the behavior of the volume of deposits into saving accounts in Colombia, in line with the results of other researchers in different countries. Finally, we found that a trend term should be incorporated into the model to capture the growth of the series.
准确理解不同存管机构的风险驱动因素是其可持续经营的关键。本文采用Ornstein-Uhlenbeck过程分析了两种随机方法对非到期资产(nma)进行建模,该过程可用于评估银行储蓄账户的流动性和利率风险。详细介绍了模型的规格、参数和仿真结果。此外,我们根据不同国家其他研究人员的结果,研究了哥伦比亚储蓄账户存款总量全年的规律。最后,我们发现应该在模型中加入一个趋势项来捕捉序列的增长。
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引用次数: 0
New indexes for measuring electoral disproportionality 衡量选举不均衡的新指标
Pub Date : 2020-12-31 DOI: 10.24309/RECTA.2020.21.1.04
Verónica Arredondo, Miguel Martínez-Panero, Antonio Palomares, Teresa Peña, V. Ramírez
The number of representatives obtained by each political party in an electoral process must be a whole number. So, the percentage of votes for each party usually differs from the corresponding percentage of seats, forcing a certain unavoidable disproportionality. On the other hand, different elements of the electoral system (constituencies, thresholds, etc.) may produce some avoidable disproportionality. Those indexes traditionally used to analyse disproportionality take into account an unreachable exact proportionality as a reference. Instead, our more realistic approach quantifies distortions from a specific allotment, namely the seat distribution obtained when applying a proportional method to the total votes (that is, as if it were a unique constituency, without electoral thresholds or incentives to the winning party). Hence, we measure the avoidable disproportionality associated with such method. Unlike traditional indexes, we propose indexes associated with proportional allotment methods that can be zero in real situations. They are simple to calculate and allow us to decipher the number of seats assigned beyond the inevitable disproportionality which arises from the constraint of whole numbers. We are particularly interested in the indexes associated with Jefferson and Webster methods, which are compared to Gallagher, Loosemore-Hanby and Sainte-Laguë indexes for the results of 55 elections held in several countries.
每个政党在选举过程中获得的代表人数必须是整数。因此,每个政党的得票百分比通常不同于相应的席位百分比,从而导致某种不可避免的不成比例。另一方面,选举制度的不同因素(选区、门槛等)可能产生一些可避免的不成比例。传统上用于分析不相称性的那些指数考虑到无法达到的精确比例作为参考。相反,我们更现实的方法是量化特定分配的扭曲,即在对总选票应用比例方法时获得的席位分配(也就是说,就好像它是一个独特的选区,没有选举门槛或对获胜政党的激励)。因此,我们测量与这种方法相关的可避免的歧化。与传统指标不同,我们提出了与比例分配方法相关的指标,这些指标在实际情况下可以为零。它们很容易计算,并使我们能够破译分配的席位数量,而不是由于整数的限制而产生的不可避免的不成比例。我们对杰弗逊和韦伯斯特方法相关的指数特别感兴趣,这些指数与Gallagher, Loosemore-Hanby和Sainte-Laguë指数进行了比较,这些指数是在几个国家举行的55次选举的结果。
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引用次数: 0
Identifying economic cycles in Spain using wavelet functions: oil price, industrial production and consumer price indices 用小波函数识别西班牙经济周期:石油价格、工业生产和消费者价格指数
Pub Date : 2018-12-31 DOI: 10.24309/RECTA.2018.19.1.01
C. González-Concepción, M. C. Gil-Fariña, C. Pestano-Gabino
espanolEste articulo analiza la realidad ciclica de la macroeconomia espanola en base a tres variables relevantes y a lo largo del periodo temporal mas amplio que nos ha permitido la disponibilidad de datos: Precio del Petroleo (1946M1- 2015M9), Indice de Produccion Industrial (1993M2-2015M9) e Indice de Precios al Consumidor (1961M1-2015M9). El impacto que ejerce el precio del petroleo en la economia ha sido estudiado extensa e intensamente, aunque modelizar sus efectos no es una cuestion trivial. Nuestra contribucion se centra en la aplicacion de funciones wavelet tipo Morlet para identificar la presencia de ciclos inestables en base a los datos conocidos mediante la computacion de la Potencia Espectral Wavelet usando MATLAB. Adicionalmente, algunas tecnicas bivariantes son utiles para visualizar la relacion entre las tres variables consideradas. En concreto, la Coherencia Wavelet Cruzada a traves de las diferentes fases puede usarse para detectar sincronismos y posibles relaciones de causalidad segun bandas de frecuencia a lo largo del tiempo. Finalmente, los resultados obtenidos por otros autores para las economias de Estados Unidos y Alemania, en base a estas mismas variables y mismas tecnicas con funciones wavelets, nos permiten anadir algunas conclusiones comparativas. EnglishThis paper analyses the economic cycles in Spain over a long period of time according to available data by using three related variables: Oil Price (1946M1-2015M9), Industrial Production Index (1993M2-2015M9) and Consumer Price Index (1961M1-2015M9). The impact of shocks on oil price has been the subject of an extensive study, although modelling their effects is not a trivial undertaking. Our contribution focuses on applying the Morlet Wavelets to identify the presence of unstable cycles in data series by calculating the Wavelet Power Spectrum with the MATLAB software. Moreover, some bivariate techniques are applied to display the mutual influence of the Oil Price with the Industrial Production Index and the Consumer Price Index. The Cross Wavelet Coherency and the relationship among phases can also be used to detect co-movements and potential causality relationships in frequency bands over time. Finally, by studying these variables we can draw certain comparative conclusions with the US and German economies, whose corresponding variables have been considered by other authors using this same tool.
espanolEste跟进分析现实ciclica macroeconomia西班牙语的基于三个变量相关沿线临时期比我们得以广泛的数据:石油价格(1946M1 2015M9),工业(1993M2-2015M9)的指数和消费物价指数(1961M1-2015M9)。石油价格对经济的影响已经得到了广泛而深入的研究,尽管对其影响进行建模并非易事。我们的贡献集中在应用Morlet小波函数来识别不稳定循环的存在,基于已知的数据,使用MATLAB计算小波谱功率。此外,一些双变量技术有助于可视化三个变量之间的关系。具体来说,跨相位的小波相干可以用来检测时间和可能的因果关系,这取决于频带随时间的变化。最后,其他作者对美国和德国经济的结果,基于相同的变量和小波函数的相同技术,允许我们添加一些比较结论。本文利用三个相关变量:石油价格(1946M1-2015M9)、工业生产指数(1993M2-2015M9)和消费者价格指数(1961M1-2015M9),根据现有数据分析了西班牙长期的经济周期。石油冲击对油价的影响一直是广泛研究的主题,但对其影响进行建模并非易事。= =地理= =根据美国人口普查,这个县的面积为,其中土地面积为,其中土地面积为。此外,还采用了一些双变量技术来显示石油价格与工业生产指数和消费者价格指数的相互影响。The Cross Wavelet Coherency and The relationship阶段中可以也应该用来干扰源co-movements及潜在的causality关系in frequency邪恶团伙over time。最后,通过研究这些变量,我们可以得出一些与美国和德国经济体的比较结论,这些经济体的相应变量已经被其他作者使用相同的工具考虑过。
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引用次数: 0
Enhancing the cooperation with data holders in official statistics: the case of Spain 加强与官方统计数据持有者的合作:以西班牙为例
Pub Date : 2018-12-31 DOI: 10.24309/RECTA.2018.19.2.02
G. Izquierdo, A. M. Salcedo, Yolanda Gómez
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引用次数: 1
Data mining y análisis matemático de las cuotas de las casas de apuestas deportivas online 在线体育博彩公司赔率的数据挖掘和数学分析
Pub Date : 2018-12-31 DOI: 10.24309/RECTA.2018.19.2.04
Gonzalo Perez-Seoane, Carlos Quesada
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引用次数: 0
About the limits of raise regression to reduce condition number when three explanatory variables are involved 关于涉及三个解释变量时提高回归减少条件数的局限性
Pub Date : 2018-12-31 DOI: 10.24309/RECTA.2018.19.1.04
Antonio Roldán, R. Salmerón, C. García
espanolEste trabajo muestra que la regresion alzada puede considerarse como una metodologia apropiada para reducir la multicolinealidad aproximada que aparece de forma natural en los problemas de regresion lineal. Cuando se trata de tres variables explicativas, su aplicacion reduce el numero de condicion de la matriz asociada al conjunto de datos. Sin embargo, este procedimiento tiene un umbral: aunque las columnas de dicha matriz se pueden separar, se demuestra que el numero de condicion nunca sera menor que una constante que se puede obtener facilmente utilizando los elementos de la matriz inicial. Finalmente, la contribucion se ilustra a traves de un ejemplo empirico. EnglishThis manuscript shows that the raise regression can be considered as an appropriate methodology in order to reduce the approximate multicollinearity that naturally appears in problems of linear regression. When three explanatory variables are involved, its application reduces the condition number of the matrix associated to data set. Nevertheless, this procedure has a threshold: although the columns of X can be separated, it is proved that the condition number will never be less than a constant that can be easily worked out by using the elements of the initial matrix. Finally, the contribution is illustrated through an empirical example.
本研究表明,高回归可以被认为是一种合适的方法,以减少线性回归问题中自然出现的近似多重共线性。当处理三个解释变量时,它们的应用减少了与数据集相关的矩阵条件的数量。然而,这个过程有一个阈值:尽管这样一个矩阵的列可以被分离,但它证明了条件的数量永远不会小于一个常数,这个常数可以很容易地使用初始矩阵的元素得到。最后,通过一个经验例子说明了这一贡献。该手稿表明,提高回归可以被认为是一种适当的方法,以减少线性回归问题中自然出现的近似多重共线性。= =地理= =根据美国人口普查,这个县的面积为。然而,这个过程有一个限制:尽管X的列可以分开,但事实证明,条件数永远不会小于一个常量,这个常量可以很容易地通过使用初始矩阵的元素来计算。最后,这篇文章用一个经验例子来说明。
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引用次数: 1
Cálculo de la rentabilidad esperada y cuantificación del riesgo en una operación de ahorro de capital diferido a prima (pura y comercial) única 在一次性(纯和商业)保费递延资本节省操作中,预期回报的计算和风险的量化
Pub Date : 2018-12-31 DOI: 10.24309/recta.2018.19.1.02
María José Pérez-Fructuoso, A. Alegre
This paper develops a financial-actuarial methodology to determine the financial-fiscal profitability an insured can obtain by contracting a deferred capital transaction. Since this transaction is conditioned on the insured's survival probability, it has a random return dependent on the probability distribution associated to the aforementioned survival. We define the expected return and, on the basis of the probability distribution of the current value of the product's benefit random variable, we obtain decision parameters that reflect the risk of the operation as well as its influence on the expected return. Our theoretical development will be carried out for single premiums under the assumption of pure premium and overcharged premium, and taking into consideration taxes and tax deductions. Finally, we propose an empirical analysis of the cases under our focus of attention, which will show the applicability of the results thus obtained, all for the purpose of providing the insured with the maximum information to make his or her decision within a random environment.
本文发展了一种财务精算方法来确定被保险人通过签订递延资本交易所能获得的财务-财务盈利能力。由于此交易以被保险人的生存概率为条件,因此它具有依赖于与上述生存相关的概率分布的随机回报。我们定义期望收益,根据产品收益随机变量当前值的概率分布,得到反映操作风险及其对期望收益影响的决策参数。我们的理论发展将在纯保费和超额保费的假设下,对单一保费进行,并考虑税收和税收减免。最后,我们对我们关注的案例进行实证分析,以显示所得结果的适用性,目的是为被保险人在随机环境中做出决策提供最大的信息。
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引用次数: 0
Análisis de clústeres y segmentación en el mercado de cruceros de Uruguay 乌拉圭邮轮市场的集群分析和细分
Pub Date : 2018-12-31 DOI: 10.24309/RECTA.2018.19.2.05
Alicia Bellani, Leonardo Moreno, Sandra Zapata
espanolEl objetivo del estudio es aportar informaci´on para la toma de decisiones en el marco de politicas turisticas aplicadas a la gestion de destinos. Diversos mecanismos de segmentacion de mercado son aplicados de forma frecuente en el analisis de turismo y son utilizadas diferentes metodologias estadisticas segun el fin que se persigue. En este trabajo se aplica una tecnica de clasificacion no supervisada que tiene por objetivo determinar grupos de variables. Se hace enfasis en un criterio de poda de variables que determina un grupo de ruido y en la comparacion de dos metodologias diferentes en referencia al trato de las variables cualitativas. A partir de ellas se realiza una segmentacion de los cruceristas. En esta ultima etapa es novedosa la aplicacion de un criterio seleccion de variables que intenta emular los grupos obtenidos con las variables originales. Son analizados los resultados obtenidos en cada paso y se realiza una comparativa con clusteres determinados en temporadas anteriores. EnglishDiverse market segmentation mechanisms have been frequently applied in the tourism analysis and different statistical methodologies have been used according to the objective pursued. This study applies a segmentation technique that tries to determine groups of variables, based on their quadratic correlation for quantitative variables or based on the sum of correlation ratios for qualitative variables. In each of the clusters of variables, the subgroup of determinant variables are identified using a pruning technique which cancels the effect of unnecessary variables. From these set of determinant variables we conduct a cruise segmentation analysis using k-means. The results show the formation of four clusters in which the key variables are age, residence, travel party size and the port of visit. Then, we analyze the cluster expenditure type behavior, finding that shopping is the most important spending in all the groups. The study aims to provide information for decision making within the framework of tourism policies, in reference to each of the groups obtained.
这项研究的目的是为应用于目的地管理的旅游政策框架内的决策提供信息。在旅游分析中经常应用不同的市场细分机制,并根据所追求的目的使用不同的统计方法。本文采用无监督分类技术,旨在确定变量组。本文提出了一种方法,在这种方法中,噪声被定义为一组噪声,而噪声被定义为一组噪声。从这些数据中,我们对邮轮乘客进行了细分。在最后阶段,新的变量选择标准的应用,试图模拟用原始变量获得的组。分析了每一步的结果,并与前几季确定的集群进行了比较。旅游分析经常采用多样化的市场细分机制,并根据所追求的目标使用不同的统计方法。本研究采用一种分割技术,根据定量变量的二次相关关系或定性变量的相关比率之和来确定变量组。在每一组变量中,确定变量的子组都是通过消除不需要的变量的影响来确定的。= =地理= =根据美国人口普查,该镇的土地面积为。结果显示了四个集群的形成,其中关键变量是年龄、居住地、旅行方规模和访问港口。然后,我们分析了集群支出类型行为,发现购物是所有集群中最重要的支出。这项研究的目的是为旅游政策框架内的决策提供资料,参照所获得的每一个群体。
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引用次数: 0
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Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA
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