A bond without any embedded options has a remaining life of $3$ years, carries an $8\%$ coupon rate payable annually, and has a yield$$to$$maturity of $7\%.$ If the $1$ and $3$year spot rates are $8\mathrm{.}0\%$ and $7\mathrm{.}0\%($annual basis$),$ respectively, then the $2$year spot rate is closest to:

Group of answer choices

$7\mathrm{.}5\%.$

$6\mathrm{.}0\%.$

$6\mathrm{.}5\%.$