In forecasting a variable (forecast target) using many predictors, a factor model with principal components (PC) is often used. When the predictors are the yield curve (a set of many yields), the Nelson–Siegel (NS) factor model is used in place of the PC factors. These PC or NS factors are combining information (CI) in the predictors (yields). However, these CI factors are not “supervised” for a specific forecast target in that they are constructed by using only the predictors but not using a particular forecast target. In order to “supervise” factors for a forecast target, we follow Chan et al. (1999) and Stock and Watson (2004) to compute PC or NS factors of many forecasts (not of the predictors), with each of the many forecasts being computed using one predictor at a time. These PC or NS factors of forecasts are combining forecasts (CF). The CF factors are supervised for a specific forecast target. We demonstrate the advantage of the supervised CF factor models over the unsupervised CI factor models via simple numerical examples and Monte Carlo simulation. In out-of-sample forecasting of monthly US output growth and inflation, it is found that the CF factor models outperform the CI factor models especially at longer forecast horizons.
Using the Entire Yield Curve in Forecasting Output and Inflation
Eric Hillebrand,Huiyu Huang,Tae-Hwy Lee,Canlin Li
Published 2018 in Econometrics
ABSTRACT
PUBLICATION RECORD
- Publication year
2018
- Venue
Econometrics
- Publication date
2018-08-29
- Fields of study
Mathematics, Economics
- Identifiers
- External record
- Source metadata
Semantic Scholar
CITATION MAP
EXTRACTION MAP
CLAIMS
CONCEPTS
- combining forecasts (cf) factors
Factors constructed from a collection of forecast series rather than directly from the predictors, using either PC or NS factor extraction.
Aliases: CF factors, combining forecasts factors
- combining information (ci) factors
Factors extracted directly from the predictor set, such as a yield curve, without conditioning on a particular forecast target.
Aliases: CI factors, combining information factors
- monte carlo simulation
A repeated-random-sampling simulation design used to study forecast-model behavior under controlled settings.
Aliases: simulation
- monthly us inflation
The monthly inflation series used as one of the forecast targets in the empirical evaluation.
Aliases: US inflation
- monthly us output growth
The monthly change in U.S. output used as one of the forecast targets in the empirical evaluation.
Aliases: US output growth
- nelson–siegel (ns) factor model
A factor model for yield-curve data that represents the curve with a small number of latent components.
Aliases: NS factor model, Nelson-Siegel model
- out-of-sample forecasting
Forecast evaluation performed on data not used to fit the model, used here to compare factor-model performance.
Aliases: OOS forecasting
- principal components (pc)
A dimensionality-reduction technique used here to extract factors from either predictors or forecasts.
Aliases: PC, principal component factors
REFERENCES
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