Consider a financial institution that has the following balance sheet. The Asset side is $9 million loan with a modified duration of 2.4 periods and the liability side is $8 million bond with a modified duration of 8 periods. The modified duration of the net worth is ___________ . If you decide to use futures contract with a modified duration of 3 periods to duration hedge the net worth, you should take a ___________(short or long) position. If you decide to use an interest rate swap to hedge, you should use ______________swap (pay floating receive fixed or pay fixed receive floating).