## Lasso Regressions and Forecasting Models in Applied Stress Testing

_IMF Working Papers, May 5, 2017_

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## Bibliographic details
- Authors: Jorge A Chan-Lau
- Published: May 5, 2017
- Series: IMF Working Papers
- DOI: https://doi.org/10.5089/9781475599022.001

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### Overview and purpose
- Model selection and forecasting in stress tests can be facilitated using machine learning techniques.
- These techniques have proved robust in other fields for dealing with the curse of dimensionality, a situation often encountered in applied stress testing.
- Lasso regressions are particularly well suited for building forecasting models when the number of potential covariates is large, and the number of observations is small or roughly equal to the number of covariates.
- The paper presents a conceptual overview of lasso regressions, explains how they fit in applied stress tests, describes advantages over other model selection methods, and illustrates application by constructing forecasting models of sectoral probabilities of default in an advanced emerging market economy.

### Key findings and methodological advantages
- Lasso regressions help address the curse of dimensionality by performing variable selection and regularization within a single estimation framework.
- Lasso is advantageous when:
  - The number of potential covariates is large.
  - The number of observations is small or roughly equal to the number of covariates.
- The paper contrasts lasso with other model selection methods, emphasizing its suitability for forecasting in stress-testing contexts.

### Application example
- Illustrative application: constructing forecasting models of sectoral probabilities of default in an advanced emerging market economy.

### Subjects and thematic coverage
- Central bank policy rate
- Consumer price indexes
- Financial institutions
- Financial services
- Foreign exchange
- Nominal effective exchange rate
- Prices
- Real effective exchange rates
- Treasury bills and bonds

### Keywords and technical terms
- Central bank policy rate
- Consumer price indexes
- estimation framework
- forecasting
- Global
- lasso
- Lasso method
- Lasso regression
- machine learning
- model selection
- money market rate
- Nominal effective exchange rate
- Real effective exchange rates
- relaxed lasso
- Stress test
- Treasury bills and bonds
- U.S. dollar
- WP

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_Source: https://www.imf.org/en/publications/wp/issues/2017/05/05/lasso-regressions-and-forecasting-models-in-applied-stress-testing-44887_