All bonds have a face value$($principal$)$ of $$100.$ The prices of six$-$month and one$-$year Treasury bills are $$97\mathrm{.}0$ and $$94\mathrm{.}0.$ A $1\mathrm{.}5-$year bond that will pay coupons of $$3$ every six months currently sells for $$99\mathrm{.}54.$ Calculate the $1\mathrm{.}5-$year zero rate and the yield$-$to$-$maturity for the $1\mathrm{.}5$ year bond.