Journal
MATHEMATICS
Volume 9, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/math9080849
Keywords
foreign exchange markets; market comovement; time-varying vector error correction model
Categories
Funding
- Japan Society for the Promotion of Science [17K03809, 19K13747, 20K01775]
- Grants-in-Aid for Scientific Research [19K13747, 17K03809, 20K01775] Funding Source: KAKEN
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The study introduced a time-varying cointegration model and found that market comovement has strengthened over the past quarter-century, but the rate of increase is slowing down, with two major turning points in 1995 and 2008.
How strongly are foreign exchange markets linked in terms of their similarities in long-run fluctuations? Are they cointegrating? To analyze such comovements, we present a time-varying cointegration model for the foreign exchange rates of the currencies of Canada, Japan, and the UK vis-a-vis the U.S. dollar from May 1990 through July 2015. Unlike previous studies, we allow the loading matrix in the vector error-correction (VEC) model to be varying over time. Because the loading matrix in the VEC model is associated with the speed at which deviations from the long-run relationship disappear, we propose a new degree of market comovement based on the time-varying loading matrix to measure the strength or robustness of the long-run relationship over time. Since exchange rates are determined by macrovariables, cointegration among exchange rates implies these variables share common stochastic trends. Therefore, the proposed degree measures the degree of market comovement. Our main finding is that the market comovement has become stronger over the past quarter-century, but at a decreasing rate with two major turning points: one in 1995 and the other one in 2008.
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