Session 1 & 2: Introduction to Time Series Analysis. Nature of time series data, properties and difference equations. Stochastic process: Stationary versus Non-stationary Stochastic Process.
Session 3 & 4: Tests of Stationarity: Correlogram, Unit Root Tests. Random Walk Models.
Session 5, 6 & 7: Modeling Volatility: • Time varying volatility model: ARCH, GARCH models and its extension •
Session 8: Additional properties of Forecasting volatility and Other Volatility models.
Session 9 & 10: Multivariate Times Series Analysis • Vector Autoregression Model (VAR): Estimation and Identification, •
Session 11 & 12: Variance decomposition and Impulse response functions, • Causality applying Granger Causality Tests and VAR model, • Forecasting using a VAR model.
Session 13, 14 & 15: Modeling Short Run and Long Run Relationships • Cointegration: Cointegration and common trends, • Tests of cointegration: Engle-Granger Two Step Procedure, the Johansen-Juselius Multivariate Test,
Session 16 & 17: Error Correction Models • Estimation and interpretation off an Error Correction Model • Forecasting Using an Error Correction Model.
Session 18 & 19: Modeling Non-linear Time Series • Simple nonlinear models • Threshold Autoregressive Model (TAR), The Smooth Transition Autoregressive (STAR) model etc. • Unit roots and Nonlinearity etc.
Session 20: Discussion on finer issues.