Using the GARCH Toolbox

    Preface
        What Is the GARCH Toolbox?
        Related Products
            Prerequisites
            Compatibility

        Using This Guide
            Organization of the Document
            Expected Background

        Technical Conventions
        Typographical Conventions

    Tutorial
        GARCH Overview
            Introducing GARCH
            Using GARCH to Model Financial Time Series

        GARCH Toolbox Overview
            Models for the Conditional Mean and Variance
            Conventions and Clarifications
            The Default Model

        Analysis and Estimation Example Using the Default Model
            Pre-Estimation Analysis
            Parameter Estimation
            Post-Estimation Analysis

        The GARCH Specification Structure
            Purpose of the Specification Structure
            Contents of the Specification Structure
            Valid Model Specifications
            Accessing Specification Structures
            Using the Specification Structure for Estimation, Simulation, and Forecasting

        Simulation
            Simulating Sample Paths
            Transients in the Simulation Process
            A General Simulation Example

        Forecasting
            Computing a Forecast
            Computing Root Mean Square Errors (RMSE)
            Asymptotic Behavior for Long-Range Forecast Horizons

        Conditional Mean Models with Regression Components
            Incorporating a Regression Model in an Estimation
            Simulation and Inference Using a Regression Component
            Forecasting Using a Regression Component
            Regression in a Monte Carlo Framework

        Model Selection and Analysis
            Likelihood Ratio Tests
            Akaike and Bayesian Information Criteria
            Equality Constraints and Parameter Significance
            Equality Constraints and Initial Parameter Estimates

        Recommendations and Suggestions
            Simplicity/Parsimony
            Convergence Issues
            Initial Parameter Estimates
            Boundary Constraints and Statistical Inferences
            Data Size and Quality

    Index of Examples

Reference

    Function Reference
        Functions by Category
        Alphabetical List of Functions
            aicbic
            archtest
            autocorr
            crosscorr
            garchar
            garchcount
            garchdisp
            garchfit
            garchget
            garchinfer
            garchllfn
            garchma
            garchplot
            garchpred
            garchset
            garchsim
            lagmatrix
            lbqtest
            lratiotest
            parcorr
            price2ret
            ret2price

    Glossary
    Bibliography

Printable Documentation (PDF)

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