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The Importance of Updating: Evidence from a Brazilian Nowcasting Model 更新的重要性:来自巴西临近预报模型的证据
D. Bragoli, Luca Metelli, M. Modugno
How often should we update predictions for economic activity? Gross domestic product is a quarterly variable disseminated usually a couple of months after the end of the quarter, but many other macroeconomic indicators are released with a higher frequency, and financial markets react very strongly to them. However, most of the professional forecasters, including the IMF, the OECD, and most central banks, tend to update their forecasts of economic activity only two to four times a year. The Central Bank of Brazil, not only disseminates its official forecasts every quarter as other central banks, but also collects and publishes the results of professional forecasters’ survey data at a daily frequency. The aim of this article is to evaluate the forecasting performance of the Central Bank of Brazil Survey and to compare it with the mechanical forecasts based on state-of-the-art nowcasting techniques. Results indicate that both model and market participant predictions are well behaved, i.e. as more information becomes available their accuracy and correlation with the actual realization increases. In terms of performance the model seems to be slightly better than the institutional forecasts in the nowcast and backcast. Keywords: Nowcasting, Updating, Dynamic Factor Model. JEL classification: C33, C53, E37.
我们应该多久更新一次对经济活动的预测?国内生产总值(gdp)是一个季度变量,通常在季度结束后几个月发布,但许多其他宏观经济指标的发布频率更高,金融市场对它们的反应也非常强烈。然而,大多数专业预测机构,包括国际货币基金组织(IMF)、经合组织(OECD)和大多数央行,往往每年只更新两到四次对经济活动的预测。巴西央行不仅像其他央行一样,每季度发布官方预测,还每天收集和发布专业预测者的调查数据结果。本文的目的是评估巴西中央银行调查的预测表现,并将其与基于最先进的临近预报技术的机械预测进行比较。结果表明,模型和市场参与者的预测都表现良好,即随着可用信息的增加,其准确性和与实际实现的相关性增加。就业绩而言,该模型似乎略好于机构在临近预测和反向预测方面的预测。关键词:临近预报,更新,动态因子模型。JEL分类:C33, C53, E37。
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引用次数: 41
Using Naïve Forecasts to Assess Limits to Forecast Accuracy and the Quality of Fit of Forecasts to Time Series Data 使用Naïve预测来评估预测精度的限制和预测对时间序列数据的拟合质量
P. Goodwin
Naive 1 forecasts are often used as a benchmark when assessing the accuracy of a set of forecasts. A ratio is obtained to show the upper bound of a forecasting method's accuracy relative to naive 1 forecasts when the mean squared error is used to measure accuracy. Formulae for the ratio are presented for several exemplar time series processes. The practical use of the ratio as a warning that forecasts have failed to adequately filter the time series signal from the noise is demonstrated.
在评估一组预测的准确性时,天真预测经常被用作基准。当使用均方误差来衡量精度时,得到一个比率来显示预测方法相对于朴素1预测的精度的上界。给出了几个典型时间序列过程的比值公式。实际使用的比率作为警告,预测未能充分过滤时间序列信号从噪声被证明。
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引用次数: 4
Nowcasting Global Economic Growth: A Factor-Augmented Mixed-Frequency Approach 临近预测全球经济增长:一个因子增强的混合频率方法
L. Ferrara, Clément Marsilli
Facing several economic and financial uncertainties, assessing accurately global economic conditions is a great challenge for economists. The International Monetary Fund proposes within its periodic World Economic Outlook report a measure of the global GDP annual growth, that is often considered as the benchmark nowcast by macroeconomists. In this paper, we put forward an alternative approach to provide monthly nowcasts of the annual global growth rate. Our approach builds on a Factor-Augmented MIxed DAta Sampling (FA-MIDAS) model that enables (i) to account for a large monthly database including various countries and sectors of the global economy and (ii) to nowcast a low-frequency macroeconomic variable using higher-frequency information. Pseudo real-time results show that this approach provides reliable and timely nowcasts of the world GDP annual growth on a monthly basis.
面对一些经济和金融的不确定性,准确评估全球经济状况对经济学家来说是一个巨大的挑战。国际货币基金组织(imf)在其定期发布的《世界经济展望》(World Economic Outlook)报告中提出了一个衡量全球GDP年增长率的指标,这通常被宏观经济学家视为临近预测的基准。在本文中,我们提出了一种替代方法来提供全球年增长率的月度临近预测。我们的方法建立在因子增强混合数据抽样(FA-MIDAS)模型的基础上,该模型使(i)能够考虑包括全球经济各个国家和部门在内的大型月度数据库,(ii)使用高频信息对低频宏观经济变量进行临近预测。伪实时结果表明,这种方法提供了可靠和及时的月度世界GDP年增长预测。
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引用次数: 31
An Empirical Investigation of the Value of Finalisation Count Information to Loss Reserving 决算信息对损失准备金价值的实证研究
G. Taylor, Jing Xu
The purpose of the present paper has been to test whether loss reserving models that rely on claim count data can produce better forecasts than the chain ladder model (which does not rely on counts); better in the sense of being subject to a lesser prediction error. The question at issue has been tested empirically by reference to the Meyers-Shi data set. Conclusions are drawn on the basis the emerging numerical evidence. The chain ladder is seen as susceptible to forecast error when applied to a portfolio characterised by material changes over time in rates of claim finalisation. For this reason, emphasis has been placed here on the selection of such portfolios for testing. The chain ladder model is applied to a number of portfolios, and so are two other models, the Payments Per Claim Incurred (PPCI) and Payments Per Claim Finalised (PPCF), that rely on claim count data. The latter model in particular is intended to control for changes in finalisation rates. Each model is used to estimate loss reserve and the associated prediction error. A compelling narrative emerges. The chain ladder rarely performs well. Either PPCI or PPCF model produces, or both produce, superior performance, in terms of prediction error, 80% of the time. When the chain ladder produces the best performance of the three models, this appears to be accounted for by either erratic count data or rates of claim finalisation that show comparatively little variation over time.
本文的目的是检验依赖索赔计数数据的损失保留模型是否能比链条阶梯模型(不依赖计数)产生更好的预测;更好的意思是预测误差更小。这个问题已经通过参考meyer - shi数据集进行了实证检验。结论是在新出现的数字证据的基础上得出的。当将链梯法应用于以索赔结案率随时间的重大变化为特征的投资组合时,人们认为它容易出现预测误差。由于这个原因,这里强调的是选择这样的投资组合进行测试。链梯模型适用于许多投资组合,另外两个依赖于索赔计数数据的模型,即每次索赔支付(PPCI)和每次索赔最终支付(PPCF)也是如此。后一种模式尤其旨在控制最终定稿率的变化。每个模型用于估计损失准备金和相关的预测误差。一个令人信服的故事出现了。这个链梯很少好用。无论是PPCI模型还是PPCF模型,或者两者都能在80%的时间内,产生更好的预测误差。当链式梯子在三种模型中产生最佳性能时,这似乎是由于不稳定的计数数据或索赔结案率随时间变化相对较小。
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引用次数: 6
Score Driven Exponentially Weighted Moving Averages and Value-at-Risk Forecasting 得分驱动指数加权移动平均线和风险价值预测
A. Lucas, Xin Zhang
A simple methodology is presented for modeling time variation in volatilities and other higher order moments using a recursive updating scheme similar to the familiar RiskMetrics approach. We update parameters using the score of the forecasting distribution. This allows the parameter dynamics to adapt automatically to any non-normal data features and robustifies the subsequent estimates. The new approach nests several of the earlier extensions to the exponentially weighted moving average (EWMA) scheme. In addition, it can easily be extended to higher dimensions and alternative forecasting distributions. The method is applied to Value-at-Risk forecasting with (skewed) Student's t distributions and a time-varying degrees of freedom and/or skewness parameter. We show that the new method is competitive to or better than earlier methods in forecasting volatility of individual stock returns and exchange rate returns.
提出了一种简单的方法来建模波动率和其他高阶矩的时间变化,使用类似于熟悉的RiskMetrics方法的递归更新方案。我们使用预测分布的分数来更新参数。这允许参数动态自动适应任何非正态数据特征,并鲁棒后续估计。新方法包含了指数加权移动平均(EWMA)方案的几个早期扩展。此外,它可以很容易地扩展到更高的维度和替代预测分布。该方法适用于(偏斜)学生t分布和时变自由度和/或偏度参数的风险值预测。结果表明,该方法在预测个股收益波动率和汇率收益波动率方面优于或具有竞争力。
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引用次数: 69
Forecasting Chinese GDP Growth with Mixed Frequency Data: Which Indicators to Look at? 用混合频率数据预测中国GDP增长:看哪些指标?
H. Mikosch, Ying Zhang
Building on a mixed data sampling (MIDAS) model we evaluate the predictive power of a variety of monthly macroeconomic indicators for forecasting quarterly Chinese GDP growth. We iterate the evaluation over forecast horizons from 370 days to 1 day prior to GDP release and track the release days of the indicators so as to only use information which is actually available at the respective day of forecast. This procedure allows us to detect how useful a specific indicator is at a specific forecast horizon relative to other indicators. Despite being published with an (additional) lag of one month the OECD leading indicator outperforms the leading indicators published by the Conference Board and by Goldman Sachs. Albeit being smaller in terms of market volume, the Shenzhen Composite Stock Exchange Index outperforms the Shanghai Composite Stock Exchange Index and several Hong Kong Stock Exchange indices. Consumer price inflation is especially valuable at forecast horizons of 11 to 7 months. The reserve requirement ratio for small banks proves to be a robust predictor at forecast horizons of 9 to 5 months, whereas the big banks reserve requirement ratio and the prime lending rate have lost their leading properties since 2009. Industrial production can be quite valuable for now - or even forecasting, but only if it is released shortly after the end of a month. Neither monthly retail sales, investment, trade, electricity usage, freight traffic nor the manufacturing purchasing managers' index of the Chinese National Bureau of Statistics help much for now - or forecasting. Our results might be relevant for experts who need to know which indicator releases are really valuable for predicting quarterly Chinese GDP growth, and which indicator releases have less predictive content.
在混合数据抽样(MIDAS)模型的基础上,我们评估了各种月度宏观经济指标对中国季度GDP增长的预测能力。我们在GDP发布前370天至1天的预测范围内进行迭代评估,并跟踪指标的发布日期,以便仅使用预测当天实际可用的信息。这一过程使我们能够检测一个特定指标相对于其他指标在特定预测范围内的有用程度。尽管经合组织领先指标的发布(又)滞后一个月,但其表现优于世界大型企业联合会(Conference Board)和高盛(Goldman Sachs)发布的领先指标。虽然市场规模较小,但深证综合指数的表现优于上证综合指数和数个香港证券交易所指数。在11至7个月的预测期内,消费者价格通胀尤其有价值。事实证明,在9至5个月的预测期内,小银行的存款准备金率是一个强有力的预测指标,而大银行的存款准备金率和优惠贷款利率自2009年以来已失去了主导作用。目前,工业生产数据可能很有价值,甚至预测也很有价值,但前提是该数据必须在月底后不久发布。无论是月度零售额、投资、贸易、用电量、货运量,还是中国国家统计局(National Bureau of Statistics)的制造业采购经理人指数(pmi),目前都没有多大帮助,预测也没有。对于那些需要知道哪些指标发布对预测中国季度GDP增长真正有价值,哪些指标发布的预测内容较少的专家来说,我们的结果可能是相关的。
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引用次数: 6
Time Varying Transition Probabilities for Markov Regime Switching Models 马尔可夫状态切换模型的时变转移概率
M. Bazzi, F. Blasques, S. J. Koopman, A. Lucas
We propose a new Markov switching model with time varying probabilities for the transitions. The novelty of our model is that the transition probabilities evolve over time by means of an observation driven model. The innovation of the time varying probability is generated by the score of the predictive likelihood function. We show how the model dynamics can be readily interpreted. We investigate the performance of the model in a Monte Carlo study and show that the model is successful in estimating a range of different dynamic patterns for unobserved regime switching probabilities. We also illustrate the new methodology in an empirical setting by studying the dynamic mean and variance behavior of U.S. Industrial Production growth. We find empirical evidence of changes in the regime switching probabilities, with more persistence for high volatility regimes in the earlier part of the sample, and more persistence for low volatility regimes in the later part of the sample.
提出了一种具有时变概率的马尔可夫切换模型。我们模型的新颖之处在于,通过观测驱动模型,过渡概率随时间而变化。时变概率的创新是由预测似然函数的得分产生的。我们展示了如何容易地解释模型动力学。我们在蒙特卡罗研究中研究了该模型的性能,并表明该模型成功地估计了一系列未观察到的状态切换概率的不同动态模式。我们还通过研究美国工业生产增长的动态均值和方差行为,在实证环境中说明了新方法。我们发现制度转换概率变化的经验证据,在样本的早期部分具有更高的波动性制度的持久性,在样本的后期部分具有更低波动性制度的持久性。
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引用次数: 2
Forecasting EU Economic Activity Using Financial Condition Indexes 利用财务状况指数预测欧盟经济活动
G. Kapetanios, Massimiliano Marcellino, Fotis Papailias
This paper investigates the performance of Financial Condition Indexes (FCIs) in forecasting four key macroeconomic variables of EU economies. A wide range of carefully selected financial indicators include Rates and Spreads, Stock Market Indicators and Macroeconomic Quantities. The results provide evidence that FCIs are particularly useful in forecasting GDP growth, Consumption growth, Industrial Production growth and the Unemployment Rate.
本文研究了金融状况指数(fci)在预测欧盟经济体四个关键宏观经济变量方面的表现。一系列精心挑选的金融指标包括利率和价差、股票市场指标和宏观经济数量。结果表明,fci在预测GDP增长、消费增长、工业生产增长和失业率方面特别有用。
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引用次数: 3
Finite Sample Weighting of Recursive Forecast Errors 递归预测误差的有限样本加权
Chris Brooks, S. Burke, Silvia Stanescu
This paper proposes and tests a new framework for weighting recursive out-of-sample prediction errors according to their corresponding levels of in-sample estimation uncertainty. In essence, we show how to use the maximum possible amount of information from the sample in the evaluation of the prediction accuracy, by commencing the forecasts at the earliest opportunity and weighting the prediction errors. Via a Monte Carlo study, we demonstrate that the proposed framework selects the correct model from a set of candidate models considerably more often than the existing standard approach when only a small sample is available. We also show that the proposed weighting approaches result in tests of equal predictive accuracy that have much better sizes than the standard approach. An application to an exchange rate dataset highlights relevant differences in the results of tests of predictive accuracy based on the standard approach versus the framework proposed in this paper.
根据递归样本外预测误差对应的样本内估计不确定性水平,提出并检验了一种新的递归样本外预测误差加权框架。从本质上讲,我们展示了如何在预测精度的评估中使用来自样本的尽可能多的信息,通过在最早的机会开始预测并对预测误差进行加权。通过蒙特卡罗研究,我们证明了当只有一个小样本可用时,所提出的框架比现有的标准方法更经常地从一组候选模型中选择正确的模型。我们还表明,所提出的加权方法导致相同预测精度的测试,其大小比标准方法好得多。对汇率数据集的应用突出了基于标准方法与本文提出的框架的预测准确性测试结果的相关差异。
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引用次数: 0
Are Professional Forecasters Bayesian? 专业预测师是贝叶斯派吗?
S. Manzan
I evaluate whether expectations of professional forecasters are consistent with the property of Bayesian learning that the expected uncertainty of a fixed target forecast should decline with the horizon. I obtain a measure of individual uncertainty from the density forecasts of the Survey of Professional Forecasters (SPF) and the ECB-SPF and use it to test the prediction of the learning model. Empirically, I find that the prediction is often violated, in particular when forecasters experience unexpected news in the most recent data release, and following quarters in which they produce narrow forecasts. In addition, I find significant heterogeneity in the updating behavior of forecasters in response to changes in these variables.
我评估了专业预测者的期望是否与贝叶斯学习的属性一致,即固定目标预测的预期不确定性应该随着地平线而下降。我从专业预报员调查(SPF)和ECB-SPF的密度预测中获得了个人不确定性的度量,并用它来测试学习模型的预测。根据经验,我发现预测经常被违背,特别是当预测者在最近的数据发布中遇到意想不到的消息时,以及在他们做出狭隘预测的季度之后。此外,我发现预测者在响应这些变量变化时的更新行为存在显著的异质性。
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引用次数: 7
期刊
ERN: Other Econometrics: Applied Econometric Modeling in Forecasting (Topic)
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