1. If bank A has positive sensitive or dollar gap (sensitive assets - sensitive liabilities = + number) so that means that it is asset sensitive. Hence, an increase in interest rates by Federal Reserve will cause an increase in net interest margin of bank A.

2. If bank B has negative sensitive or dollar gap (sensitive assets - sensitive liabilities = - number) so that means that it is liability sensitive. Hence, an increase in interest rates by Federal reserve will cause a decrease in net interest margin of bank B

3. If bank A has positive sensitive or dollar gap (sensitive assets - sensitive liabilities = + number) so that means that it is asset sensitive. Hence, an decrease in interest rates by Federal Reserve will cause a decrease in net interest margin of bank A.

4. If bank B has negative sensitive or dollar gap (sensitive assets - sensitive liabilities = - number) so that means that it is liability sensitive. Hence, an decrease in interest rates by Federal reserve will cause an increase in net interest margin of bank B

Are all the four statements true or false?