Masterarbeit, 2020
63 Seiten, Note: 1,3
1 Introduction
2 Econometric Methodology
2.1 Autoregressive Model
2.2 Vector Autoregressive Model
2.2.1 Partial Autocorrelation Function
2.2.2 Information Criteria
2.3 Granger Causality
2.4 Cholesky Decomposition
2.5 Impulse Response Function
2.6 Forecast Error Variance Decomposition
3 Data and Indices
3.1 Uncertainty Index
3.2 Industrial Production
3.3 Harmonised Index of Consumer Prices
3.4 Interest and Shadow Rates
3.5 Preparation of Data and (Back-) Testing
3.5.1 Adjustment of the Global Uncertainty Index
3.5.2 Augmented-Dickey-Fuller-Test
4 Empirical Results
4.1 Model Setup
4.1.1 Lag Length Selection
4.1.2 Ljung-Box-Test
4.2 Impulse Response Functions
4.2.1 France
4.2.2 Germany
4.2.3 United Kingdom
4.3 Forecast Error Variance Decompositions
4.3.1 France
4.3.2 Germany
4.3.3 United Kingdom
5 Conclusion
This thesis examines the economic impact of uncertainty on key macroeconomic variables such as industrial production, inflation, and interest rates in France, Germany, and the United Kingdom. By applying vector autoregressive (VAR) modeling, the study seeks to quantify how uncertainty shocks propagate through these economies and to identify country-specific response patterns.
4.2 Impulse Response Functions
The orthogonalised impulse-response functions theoretically derived in the previous section are determined by a so-called bootstrap procedure and estimated by OLS. For our model, the confidence intervals (68% for 1 standard deviation (σ) as well as 95% for 2 σ are determined using a loop of 500 bootstrap runs to evaluate "the properties of impulse response functions" (Lütkepohl, 2005, p. 126).
For the IRF we now focus on the uncertainty variables, for the sake of completeness an overview with all impulses and their answers can be found on Figure 23, Figure 24 and Figure 25. It is to be shown, if "uncertainty shocks generate short sharp recessions and recoveries" as Bloom (2009, p. 623) states.
In addition, when we talk about confidence bands, we are referring to the 68% (dark grey shaded) confidence bands, unless otherwise stated.
1 Introduction: Provides the motivational context by highlighting the pervasive influence of uncertainty on monetary policy and central bank mandates in major European economies.
2 Econometric Methodology: Details the theoretical foundations of VAR models, including lag order selection, causality testing, and impulse response analysis.
3 Data and Indices: Describes the selection, normalization, and stationarity testing of the datasets utilized, including the GEPU index and industrial production proxies.
4 Empirical Results: Presents the estimated model parameters, discusses the impulse response functions for each country, and breaks down the forecast error variance.
5 Conclusion: Summarizes the key findings regarding the persistence and country-specific nature of uncertainty shocks and their implications for monetary policy.
Economic Uncertainty, Vector Autoregressive Model, Monetary Policy, Industrial Production, Inflation, Impulse Response Function, Forecast Error Variance Decomposition, France, Germany, United Kingdom, Granger Causality, Shadow Interest Rates, Econometrics, Macroeconomic Stability, Time Series Analysis
The work investigates how uncertainty, measured by the Global Economic Policy Uncertainty Index, impacts macroeconomic variables such as industrial production and inflation across France, Germany, and the UK.
The paper bridges theoretical econometrics with empirical macroeconomics, focusing on time series analysis, monetary policy transmission, and the quantification of economic risks.
The objective is to quantify the dynamic effects of uncertainty shocks on the economies of France, Germany, and the UK to better understand how central banks might integrate these factors into their decision-making.
The study utilizes Vector Autoregressive (VAR) models, Cholesky decomposition, Granger causality tests, and impulse response functions (IRFs) to analyze the interdependencies of economic variables.
The main part encompasses the mathematical derivation of the VAR system, data preparation, stationarity testing using the Augmented-Dickey-Fuller test, and the empirical estimation and visualization of results.
Key terms include Economic Uncertainty, VAR modeling, monetary policy, macroeconomic variables, time series analysis, and country-specific economic shocks.
The author incorporates "shadow interest rates" as developed by Wu and Xia (2017) to capture the effects of unconventional monetary policies like Quantitative Easing.
The results show that countries react differently due to variations in trade openness, industrial structure, and sensitivity to geopolitical shocks, particularly noting Germany’s high export orientation compared to the UK’s service-heavy economy.
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