Short-Term Forecasting for Empirical Economists. A Survey of the Recently Proposed Algorithms

Practitioners do not always use research findings, as the research is not always conducted in a manner relevant to real-world practice. This survey seeks to close the gap between research and practice in respect of short-term forecasting in real time. To this end, we review the most relevant recent contributions to the literature, examining their pros and cons, and we take the liberty of proposing some avenues of future research. We include bridge equations, MIDAS, VARs, factor models and Markov-switching factor models, all allowing for mixed-frequency and ragged ends. Using the four constituent monthly series of the Stock-Watson coincident index, industrial production, employment, income and sales, we evaluate their empirical performance to forecast quarterly US GDP growth rates in real time. Finally, we review the main results having regard to the number of predictors in factorbased forecasts and how the selection of the more informative or representative variables can be made.

[1]  Eric Ghysels,et al.  State Space Models and MIDAS Regressions , 2013 .

[2]  C. Granger,et al.  Handbook of Economic Forecasting , 2006 .

[3]  Francis X. Diebold,et al.  Elements of Forecasting , 1997 .

[4]  J. Bai,et al.  Large Dimensional Factor Analysis , 2008 .

[5]  Michael P. Clements,et al.  Forecasting in Cointegrated Systems , 1995 .

[6]  Danny Pfeffermann,et al.  Bootstrap Approximation to Prediction MSE for State–Space Models with Estimated Parameters , 2005 .

[7]  Myung-Jig Kim,et al.  New index of coincident indicators: A multivariate Markov switching factor model approach , 1995 .

[8]  Enrique Moral-Benito,et al.  Agglomeration Matters for Trade , 2013 .

[9]  David H. Small,et al.  Nowcasting: the real time informational content of macroeconomic data releases , 2008 .

[10]  Gabor Pula,et al.  Is China Climbing Up the Quality Ladder? , 2012 .

[11]  Ana Beatriz Galvão,et al.  Changes in predictive ability with mixed frequency data , 2013 .

[12]  Eric Ghysels,et al.  Série Scientifique Scientific Series the Midas Touch: Mixed Data Sampling Regression Models the Midas Touch: Mixed Data Sampling Regression Models* , 2022 .

[13]  Alejandro J. Rojas,et al.  On the Discrete-Time Algebraic Riccati Equation and Its Solution in Closed-Form , 2011 .

[14]  Massimiliano Marcellino,et al.  Factor Midas for Nowcasting and Forecasting with Ragged-Edge Data: A Model Comparison for German GDP , 2008 .

[15]  Tommaso Proietti,et al.  Dating Business Cycles : a Methodological Contribution with an Application to the Euro Area 2 0 0 3 E D IT IO N , 2003 .

[16]  M. Cuesta,et al.  Does income deprivation affect people’s mental well-being? , 2013, SSRN Electronic Journal.

[17]  R. Gimeno,et al.  Term Structure Estimation, Liquidity-Induced Heteroskedasticity and the Price of Liquidity Risk , 2014 .

[18]  Maximo Camacho,et al.  Spain-Sting: Spain Short-Term Indicator of Growth , 2011 .

[19]  J. Ferri,et al.  Household Leverage and Fiscal Multipliers , 2012 .

[20]  J. Stock,et al.  A Comparison of Direct and Iterated Multistep Ar Methods for Forecasting Macroeconomic Time Series , 2005 .

[21]  Roberto Blanco,et al.  Determinants of Default Ratios in the Segment of Loans to Households in Spain , 2012 .

[22]  M. Hallin,et al.  The Generalized Dynamic-Factor Model: Identification and Estimation , 2000, Review of Economics and Statistics.

[23]  Yasutomo Murasawa,et al.  A Coincident Index, Common Factors, and Monthly Real GDP , 2010 .

[24]  Serena Ng,et al.  Are more data always better for factor analysis , 2006 .

[25]  Peter Fuleky,et al.  Forecasting Based on Common Trends in Mixed Frequency Samples , 2011 .

[26]  K. West,et al.  FORECAST EVALUATION , 2022 .

[27]  D. Hendry Unpredictability in Economic Analyis, Econometric Modelling and Forecasting , 2011 .

[28]  Peter A. Zadrozny Estimating A Multivariate Arma Model with Mixed-Frequency Data: An Application to Forecasting U.S. GNP at Monthly Intervals , 1990 .

[29]  Maximo Camacho,et al.  Short-Run Forecasting of the Euro-Dollar Exchange Rate with Economic Fundamentals , 2012 .

[30]  Testing weak exogeneity in cointegrated panels , 2014 .

[31]  Rossen Valkanov,et al.  Forecasting Volatility with MIDAS , 2012 .

[32]  Eric Ghysels,et al.  Forecasting with mixed-frequency data , 2011 .

[33]  Máximo Camacho,et al.  Jump-and-Rest Effect of U.S. Business Cycles , 2005 .

[34]  Gabriel Pérez-Quirós,et al.  Extracting Non-Linear Signals from Several Economic Indicators , 2012 .

[35]  F. Denton,et al.  The Effect of Measurement Errors on Parameter Estimates and Forecasts: A Case Study Based on the Canadian Preliminary National Accounts , 1965 .

[36]  G. Corsetti,et al.  Traded and Nontraded Goods Prices, and International Risk Sharing: An Empirical Investigation , 2011, NBER International Seminar on Macroeconomics.

[37]  Gabriel Pérez-Quirós,et al.  The Failure to Predict the Great Recession. The Failure of Academic Economics? A View Focusing on the Role of Credit , 2012 .

[38]  Marta Bańbura,et al.  A Look into the Factor Model Black Box: Publication Lags and the Role of Hard and Soft Data in Forecasting GDP , 2007, SSRN Electronic Journal.

[39]  Jeremy Piger,et al.  The Use and Abuse of Real-Time Data in Economic Forecasting , 2003, Review of Economics and Statistics.

[40]  Gabriel Pérez-Quirós,et al.  Can We Use Seasonally Adjusted Indicators in Dynamic Factor Models? , 2012 .

[41]  Marie Diron,et al.  Short-Term Forecasts of Euro Area Real GDP Growth: An Assessment of Real-Time Performance Based on Vintage Data , 2006, SSRN Electronic Journal.

[42]  Gabriel Pérez-Quirós,et al.  Green Shoots and Double Dips in the Euro Area: A Real Time Measure , 2012 .

[43]  Nigar Hashimzade,et al.  Handbook of Research Methods and Applications in Empirical Macroeconomics Handbooks of Research Methods and Applications Handbook of Research Methods and Applications in Empirical Macroeconomics 22 Structural Vector Autoregressions* , 2022 .

[44]  Marcelle Chauvet,et al.  A Comparison of the Real-Time Performance of Business Cycle Dating Methods , 2005 .

[45]  Bryan T. Kelly,et al.  The Three-Pass Regression Filter: A New Approach to Forecasting Using Many Predictors , 2014 .

[46]  Pilar Poncela,et al.  More is not always better : back to the Kalman lter in Dynamic Factor Models , 2012 .

[47]  J. Bai,et al.  Forecasting economic time series using targeted predictors , 2008 .

[48]  Gabriel Pérez-Quirós,et al.  Extracting Nonlinear Signals from Several Economic Indicators , 2012 .

[49]  Michael P. Clements,et al.  Forecasting US output growth using leading indicators: an appraisal using MIDAS models , 2009 .

[50]  Matteo Luciani,et al.  A model for vast panels of volatilities , 2012 .

[51]  J. Stock,et al.  A Probability Model of the Coincident Economic Indicators , 1988 .

[52]  Disentangling Contagion Among Sovereign CDS Spreads During the European Debt Crisis , 2013 .

[53]  R. Golinelli,et al.  Bridge models to forecast the euro area GDP , 2004 .

[54]  Gabriel Pérez-Quirós,et al.  Commodity Prices and the Business Cycle in Latin America: Living and Dying by Commodities? , 2013 .

[55]  Chang‐Jin Kim,et al.  Dynamic linear models with Markov-switching , 1994 .

[56]  David F. Hendry,et al.  Unpredictability in economic analysis, econometric modeling and forecasting , 2014 .

[57]  J. Costain,et al.  Smoothing Shocks and Balancing Budgets in a Currency Union , 2012 .

[58]  Maximo Camacho Mixed-frequency VAR models with Markov-switching dynamics , 2013 .

[59]  Miguel García-Posada,et al.  Are there alternatives to bankruptcy? A study of small business distress in Spain , 2013 .

[60]  Maximo Camacho,et al.  Introducing the Euro-Sting: Short-Term Indicator of Euro Area Growth , 2009 .

[61]  J. Stock,et al.  Macroeconomic Forecasting Using Diffusion Indexes , 2002 .

[62]  Michael P. Clements,et al.  FORECASTING ECONOMIC TIME SERIES , 2000, Econometric Theory.

[63]  G. V. Houngbonon,et al.  PRELIMINARY AND INCOMPLETE , 1998 .

[64]  Francis X. Diebold,et al.  Real-Time Measurement of Business Conditions , 2007 .

[65]  G. Corsetti,et al.  The International Risk-Sharing Puzzle is at Business Cycle and Lower Frequency , 2011 .

[66]  Pedro Del Rio Lopez,et al.  Boom-Bust Cycles, Imbalances and Discipline in Europe , 2012 .

[67]  Stéphane Bonhomme,et al.  The Cycle of Earnings Inequality: Evidence from Spanish Social Security Data , 2012, SSRN Electronic Journal.

[68]  Michael P. Clements,et al.  Macroeconomic Forecasting With Mixed-Frequency Data , 2008 .

[69]  I. Hernando,et al.  The recent slowdown in bank lending in Spain: are supply-side factors relevant? , 2014 .

[70]  C. Montes Estimation of Regulatory Credit Risk Models , 2015 .

[71]  R. Mariano,et al.  A New Coincident Index of Business Cycles Based on Monthly and Quarterly Series , 2002 .

[72]  D. Giannone,et al.  Now-Casting and the Real-time Data Flow , 2012, SSRN Electronic Journal.

[73]  M. Valderrama,et al.  Heterogeneity and Cross-Country Spillovers in Macroeconomic-Financial Linkages , 2012, SSRN Electronic Journal.

[74]  Marco Lippi,et al.  The Generalized Dynamic Factor Model , 2002 .

[75]  Enrique Moral-Benito,et al.  Determinants of corporate default: a BMA approach , 2012 .

[76]  James D. Hamilton A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[77]  Massimiliano Marcellino,et al.  A Survey of Econometric Methods for Mixed-Frequency Data , 2013 .

[78]  Michael T. Owyang,et al.  Forecasting with Mixed Frequencies , 2010 .

[79]  D. Stoffer,et al.  A State space approach to bootstrapping conditional forecasts in arma models , 2002 .

[80]  Bharat Trehan,et al.  Using monthly data to predict quarterly output , 1996 .

[81]  Maximo Camacho,et al.  Markov-Switching Dynamic Factor Models in Real Time , 2012, International Journal of Forecasting.

[82]  Catherine Doz,et al.  A Quasi–Maximum Likelihood Approach for Large, Approximate Dynamic Factor Models , 2006, Review of Economics and Statistics.

[83]  Maximo Camacho,et al.  Finite Sample Performance of Small Versus Large Scale Dynamic Factor Models , 2012 .

[84]  Catherine Doz,et al.  A Two-Step Estimator for Large Approximate Dynamic Factor Models Based on Kalman Filtering , 2007 .

[85]  Yiannis Kamarianakis The Oxford handbook of economic forecasting , 2012 .

[86]  Javier J. Pérez,et al.  Fiscal Forecast Errors: Governments vs Independent Agencies? , 2012 .

[87]  Gerhard Rünstler,et al.  Short-Term Estimates of Euro Area Real GDP by Means of Monthly Data , 2003, SSRN Electronic Journal.

[88]  Short-term forecasting for empirical economists. A survey of the recently proposed algorithms , 2013 .

[89]  George Kapetanios,et al.  Are More Data Always Better for Factor Analysis' Results for the Euro Area, the Six Largest Euro Area Countries and the UK , 2009, SSRN Electronic Journal.

[90]  Massimiliano Marcellino,et al.  Midas Vs. Mixed-Frequency VAR: Nowcasting GDP in the Euro Area , 2009 .

[91]  J. Bai,et al.  Inferential Theory for Factor Models of Large Dimensions , 2003 .

[92]  Rangan Gupta,et al.  A large factor model for forecasting macroeconomic variables in South Africa , 2011 .

[93]  Alain Hecq,et al.  Forecasting Mixed Frequency Time Series with ECM-MIDAS Models , 2012 .

[94]  Tom Stark and Dean Croushore Forecasting with a Real-Time Data Set for Macroeconomists , 2001 .

[95]  D. Mare,et al.  The Oxford Handbook of Economic Forecasting , 2015, J. Oper. Res. Soc..

[96]  Chang-Jin Kim,et al.  Business Cycle Turning Points, A New Coincident Index, and Tests of Duration Dependence Based on a Dynamic Factor Model With Regime Switching , 1998, Review of Economics and Statistics.

[97]  Massimiliano Marcellino,et al.  Markov-Switching MIDAS Models , 2011 .

[98]  James D. Hamilton Calling Recessions in Real Time , 2010 .

[99]  Michael P. Clements,et al.  Dynamic Factor Models , 2011, Financial Econometrics.

[100]  J. Stock,et al.  Forecasting Using Principal Components From a Large Number of Predictors , 2002 .

[101]  Máximo Camacho,et al.  MICA-BBVA: a factor model of economic and financial indicators for short-term GDP forecasting , 2012 .

[102]  Massimiliano Marcellino,et al.  Interpolation and Backdating with a Large Information Set , 2003, SSRN Electronic Journal.

[103]  A. Timmermann Forecast Combinations , 2005 .

[104]  Filippo Altissimo,et al.  New Eurocoin: Tracking Economic Growth in Real Time , 2006, The Review of Economics and Statistics.

[105]  M. Pesaran,et al.  Factor Models , 2021, Modern Equity Investing Strategies.

[106]  Marcelle Chauvet,et al.  An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switching , 1998 .

[107]  Glenn D. Rudebusch,et al.  Forecasting Output with the Composite Leading Index: A Real-Time Analysis , 1991 .

[108]  Esther Ruiz,et al.  Bootstrap prediction intervals in state–space models , 2009 .

[109]  Marco Lippi,et al.  Do Financial Variables Help Forecasting Inflation and Real Activity in the Euro Area , 2002 .

[110]  Carlos Thomas,et al.  Bank Leverage Cycles , 2012, SSRN Electronic Journal.

[111]  Andrew T. Foerster,et al.  Bayesian Mixed Frequency VARs , 2015 .

[112]  Real-Time Macroeconomic Monitoring: Real Activity, Inflation, and Interactions , 2010 .

[113]  M. Nieto,et al.  The Safety and Soundness Effects of Bank M&As in the EU: Does Prudential Regulation Have Any Impact? , 2012 .

[114]  Luís Catela Nunes,et al.  Nowcasting quarterly GDP growth in a monthly coincident indicator model , 2005 .

[115]  D. Peña,et al.  Forecasting with nonstationary dynamic factor models , 2004 .

[116]  Francisco Alvarez-Cuadrado,et al.  Envy and Habits: Panel Data Estimates of Interdependent Preferences , 2012 .

[117]  David H. Papell,et al.  Taylor Rules with Real-Time Data: A Tale of Two Countries and One Exchange Rate , 2008 .

[118]  E. Ghysels,et al.  MIDAS Regressions: Further Results and New Directions , 2006 .

[119]  J. Stock,et al.  Forecasting with Many Predictors , 2006 .

[120]  Daniel Garrote,et al.  The effects of fiscal shocks on the exchange rate in the EMU and differences with the USA , 2012, Empirical Economics.

[121]  Alfredo Martín-Oliver,et al.  Effects of Equity Capital on the Interest Rate and the Demand for Credit: Empirical Evidence from Spanish Banks , 2012 .

[122]  Henrique S. Basso,et al.  Fiscal Delegation in a Monetary Union with Decentralized Public Spending , 2013, SSRN Electronic Journal.

[123]  Seth Pruitt,et al.  The Three-Pass Regression Filter: A New Approach to Forecasting Using Many Predictors , 2014 .

[124]  D. Veredas,et al.  Which Model to Match? , 2015 .

[125]  Fernando López Vicente The Effect of Foreclosure Regulation: Evidence for the US Mortgage Market at State Level , 2013 .