The Harris State Bank has $$2,000$ in total assets $($all of which are earning assets$),$ $$500$ of which will be repriced in the next $90$ days. This bank also has $$1,600$ in total liabilities, $$1,000$ of which will be repriced in $90$ days. The bank currently earns $9$ percent on its assets and pays $4$ percent on its liabilities.

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If interest rates on both assets and liabilities rise by $2$ percent in the next $90$ days, what should happen to this bank's net interest margin?

Group of answer choices

It should fall by $2$ percent.

It should fall by $0\mathrm{.}5$ percent.

It should fall by $4$ percent.

It should fall by $1$ percent.

It should not record any fall.