A bank owns a fixed rate bond with a prsent value of $450 million and a duration of 8.71 years. Since it perceives increased interest rate risk in the near future ,
It would like to reduce the duration with 2 year swap to 7.81 to meet an overall risk objective.
What is the kind of swap it would be investing in ( i.e. pay-fixed or receive-fixed ) ?
A bank owns a fixed rate bond with a prsent value of $450 million and a duration of 8.71 years. Since it perceives increased interest rate risk in the near future ,
It would like to reduce the duration with 2 year swap to 7.81 to meet an overall risk objective.
What is the kind of swap it would be investing in ( i.e. pay-fixed or receive-fixed ) ?
a. since it needs to reduce duration - it needs a negative duration swap. So it would be a Pay fixed, receive floating swap.
What is the notional on the swap?it is semi-annual payment
Swap Duration = 0.75 * 2 - 0.5 * 0.5 = -1.25
Swap NP = (7.81 - 8.71)/(-1.25) * 450 Million = 324 Million