a Part B: After one year, there is a duration gap between the liability and the immunization portfolio. The present value of liability is $96,547,125 and a modified duration of 6.765. The immunization portfolio has a market value of $97,936,562 and a modified duration of 7.032. John would like to close this duration gap by adopting derivative overlay strategy. The basis point value (BPV) for one future contract is $65.78. Should John take a long or short position in future contracts? Please estimate the number of future contracts required to close this duration gap. a Part B: After one year, there is a duration gap between the liability and the immunization portfolio. The present value of liability is $96,547,125 and a modified duration of 6.765. The immunization portfolio has a market value of $97,936,562 and a modified duration of 7.032. John would like to close this duration gap by adopting derivative overlay strategy. The basis point value (BPV) for one future contract is $65.78. Should John take a long or short position in future contracts? Please estimate the number of future contracts required to close this duration gap