A government bond with a face value of $100,$ maturing in $3$ years from now with a fixed coupon of $4\%$ is trading at $104.$ The current spot rates are r$\_1=0\mathrm{.}0275,$r$\_2=0\mathrm{.}03,$r$\_3=0\mathrm{.}0325.$b$.$ Please determine the value of the bond via a replicating portfolio using the pure zero discount bonds.