To analyse this claim there has to be a shift in import. Import would go down as the dollar rises.
First of all there is going to be a right or outward shift in the exchange rate demand for the American dollars.
Therefore the value of the dollar is going to be on the rise. import is going to fall and there would be a rise in net export.
The outward shift of the demand curve would lead to a fall in exports based on the shifts in the exchange rate.
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