On the uncertainty and risks of macroeconomic forecasts: combining judgements with sample and model information

Institutions which publish macroeconomic forecasts usually do not rely on a single econometric model to generate their forecasts. The combination of judgements with information from different models complicates the problem of characterizing the predictive density. This article proposes a parametric approach to construct the joint and marginal densities of macroeconomic forecasting errors, combining judgements with sample and model information. We assume that the relevant variables are linear combinations of latent independent two-piece normal variables. The baseline point forecasts are interpreted as the mode of the joint distribution, which has the convenient feature of being invariant to judgments on the balance of risks.

[1]  Carlos Coimbra,et al.  Oil Price Assumptions in Macroeconomic Forecasts: Should We Follow Futures Market Expectations? , 2004 .

[2]  M. Steel,et al.  A new class of skewed multivariate distributions with applications to regression analysis , 2007 .

[3]  J. H. Wilkinson,et al.  Reliable Numerical Computation. , 1992 .

[4]  A. Azzalini,et al.  The multivariate skew-normal distribution , 1996 .

[5]  N. Higham Analysis of the Cholesky Decomposition of a Semi-definite Matrix , 1990 .

[6]  Kenneth F. Wallis,et al.  An Assessment of Bank of England and National Institute Inflation Forecast Uncertainties , 2004, National Institute Economic Review.

[7]  John C. Robertson,et al.  Forecasting Using Relative Entropy , 2002 .

[8]  E. Leeper An "Inflation Reports" Report , 2003 .

[9]  M. Villani,et al.  The Multivariate Split Normal Distribution and Asymmetric Principal Components Analysis , 2006 .

[10]  D. Dey,et al.  A General Class of Multivariate Skew-Elliptical Distributions , 2001 .

[11]  S. John,et al.  The three-parameter two-piece normal family of distributions and its fitting , 1982 .

[12]  Paulo Soares Esteves,et al.  Uncertainty and Risk Analysis: na Application to the Projections for the Portuguese Economy in 2004 , 2003 .

[13]  T. Sargent,et al.  Bayesian Fan Charts for U.K. Inflation: Forecasting and Sources of Uncertainty in an Evolving Monetary System , 2005 .

[14]  Maximiano Pinheiro,et al.  Uncertainty and Risk Analysis of Macroeconomic Forecasts: Fan Charts , 2003 .

[15]  A. Azzalini,et al.  Statistical applications of the multivariate skew normal distribution , 2009, 0911.2093.

[16]  R. Serfling,et al.  General notions of statistical depth function , 2000 .

[17]  S. Siviero,et al.  A Non-Parametric Model-Based Approach to Uncertainty and Risk Analysis of Macroeconomic Forecast , 2010 .

[18]  清水 邦夫 Continuous Univariate Distributions Volume 1/N.L.Johnson,S.Kotz,N.Balakrishnan(1994) , 1995 .

[19]  Mark F. J. Steel,et al.  Model comparison of coordinate-free multivariate skewed distributions with an application to stochastic frontiers , 2004 .

[20]  J. Tukey Mathematics and the Picturing of Data , 1975 .

[21]  E. Britton,et al.  The Inflation Report projections: understanding the fan chart , 1997 .

[22]  A. B. Yeh,et al.  Balanced Confidence Regions Based on Tukey’s Depth and the Bootstrap , 1997 .

[23]  A. Azzalini,et al.  Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution , 2003, 0911.2342.

[24]  Quantifying Risk and Uncertainty in Macroeconomic Forecasts , 2007, SSRN Electronic Journal.

[25]  Pär Österholm Incorporating Judgement in Fan Charts , 2006 .

[26]  A. Azzalini A class of distributions which includes the normal ones , 1985 .

[27]  M. Steel,et al.  On Bayesian Modelling of Fat Tails and Skewness , 1998 .

[28]  G. Calzolari,et al.  Mode predictors in nonlinear systems with identities , 1990 .

[29]  Peter Sellin,et al.  Uncertainty bands for inflation forecasts , 1998 .

[30]  Incorporating Market Information into the Construction of the Fan Chart , 2009 .

[31]  B. Arnold,et al.  Measuring Skewness with Respect to the Mode , 1995 .

[32]  K. Wallis Asymmetric density forecasts of inflation and the Bank of England's fan chart , 1999, National Institute Economic Review.

[33]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .