Model Selection and Testing of Conditional and Stochastic Volatility Models
2010-10-12
Research Paper
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(EI2010-57.pdf, 0.2MB) |
This paper focuses on the selection and comparison of alternative non-nested volatility models. We review the traditional in-sample methods commonly applied in the volatility framework, namely diagnostic checking procedures, information criteria, and conditions for the existence of moments and asymptotic theory, as well as the out-of-sample model selection approaches, such as mean squared error and Model Confidence Set approaches. The paper develops some innovative loss functions which are based on Value-at-Risk forecasts. Finally, we present an empirical application based on simple univariate volatility models, namely GARCH, GJR, EGARCH, and Stochastic Volatility that are widely used to capture asymmetry and leverage.
- asymmetry, leverage
- model confidence set
- non-nested models
- volatility model comparison
- volatility model selection
- Value-at-Risk forecasts
- 1.00
- model
- garch
- function
- egarch
- 0.01
- volatility
- loss functions
- 0.02
- variance
- 0.04
- confidence
- comparison
- out-of-sample
- period
- loss function
- 0.03
- 0.00
- model confidence
- alternative