The prices of $1,2,3,4,$ and $5-$year zero coupon government bonds are $0\mathrm{.}9542,0\mathrm{.}9036,0\mathrm{.}8516,0\mathrm{.}7881$ and $0\mathrm{.}7161,$ respectively $($per $$1$ face value$).$ What is the one$-$year implied forward rate for the third $(3$rd$)$ year $($that is$,$ Year $3)?$

Question $21$ options:

$4\mathrm{.}7998\%$

$5\mathrm{.}5998\%$

$6\mathrm{.}1062\%$

$8\mathrm{.}0574\%$

$10\mathrm{.}0545\%$