Consider the following US treasury rate table expressed in percentage.

$\backslash$table$[[$Maturity$,$Yield,,Last,$],[$t$,R(0,t),$Yesterday,$\backslash$table$[[$Last$],[$Week$]],\backslash$table$[[$Month$]]],[6$ Month,$2\mathrm{.}65,2\mathrm{.}35,1\mathrm{.}85,1\mathrm{.}55],[1$ Year,$2\mathrm{.}75,2\mathrm{.}70,2\mathrm{.}20,1\mathrm{.}90],[2$ Year,$3\mathrm{.}00,2\mathrm{.}90,2\mathrm{.}40,2\mathrm{.}10],[3$ Year,$4\mathrm{.}75,4\mathrm{.}65,4\mathrm{.}15,3\mathrm{.}85],[5$ Year,$4\mathrm{.}80,4\mathrm{.}70,2\mathrm{.}20,3\mathrm{.}90],[10$ Year,$5\mathrm{.}00,4\mathrm{.}90,4\mathrm{.}40,4\mathrm{.}10],[30$ Year,$5\mathrm{.}50,5\mathrm{.}30,4\mathrm{.}80,4\mathrm{.}50]]$

What is today the yield to maturity of a $3$ year $5\%$ coupon bond with annual payments? $($Hint: Use the General Formula to find the price first, then compute the yield to maturity$).$

$4\mathrm{.}75$

$4\mathrm{.}06$

$4\mathrm{.}66$

$4\mathrm{.}65$