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Risks 2018, 6(3), 84; https://doi.org/10.3390/risks6030084

The Impact of Sovereign Yield Curve Differentials on Value-at-Risk Forecasts for Foreign Exchange Rates

1
Faculty Business Administration and International Finance, Nuertingen-Geislingen University, 72622 Nürtingen, Germany
2
Center for Quantitative Risk Analysis, Department of Statistics, Ludwig-Maximilians-Universität München, 80799 Munich, Germany
3
Institute of Statistics, Ludwig-Maximilians-Universität München, 80799 Munich, Germany
*
Author to whom correspondence should be addressed.
Received: 19 June 2018 / Revised: 30 July 2018 / Accepted: 15 August 2018 / Published: 20 August 2018
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Abstract

A functional ARMA-GARCH model for predicting the value-at-risk of the EURUSD exchange rate is introduced. The model implements the yield curve differentials between EUR and the US as exogenous factors. Functional principal component analysis allows us to use the information of basically the whole yield curve in a parsimonious way for exchange rate risk prediction. The data analyzed in our empirical study consist of the EURUSD exchange rate and the EUR- and US-yield curves from 15 August 2005–30 September 2016. As a benchmark, we take an ARMA-GARCH and an ARMAX-GARCHX with the 2y-yield difference as the exogenous variable and compare the forecasting performance via likelihood ratio tests. However, while our model performs better in one situation, it does not seem to improve the performance in other setups compared to its competitors. View Full-Text
Keywords: value-at-risk; GARCH; yield curve; functional data; PCA value-at-risk; GARCH; yield curve; functional data; PCA
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Fink, H.; Fuest, A.; Port, H. The Impact of Sovereign Yield Curve Differentials on Value-at-Risk Forecasts for Foreign Exchange Rates. Risks 2018, 6, 84.

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