Consider the rates in the table below, suppose further than now, at time 0, you are in the middle of a swap contract that started 6 years ago; the latest payment has just been made (at time 0) 

a) If you are a fixed receiver on a plain-vanilla swap that has 3 years left until maturity, the swap rate is c1 = 3.45%, and the notional is $8M, what is the value of your swap? 

b) What is the dollar duration of your position (expressed with respect to BEY)? 

c) According to this duration, how would your value react to an increase of 25bp in all spot rates? 

d) What would be the actual change in your value if all spot rates increased by 25bp?

Date t 6m Rate r(0, t) 0.0310 ly 18m 2y 30m 0.0340 0.0375 0.0420 0.0470 3y 0.0510