Miles owns one bond A and one bond $B.$ The total value of these two bonds is $$2,110\mathrm{.}00.$ Bond A pays semi$-$annual coupons, matures in $11$ years, has a face value of $$1,000\mathrm{.}00,$ and pays its next coupon in $6$ months. Bond $B$ pays annual coupons, matures in $3$ years, has a face value of $$1,000\mathrm{.}00,$ has a yield$-$to$-$maturity of $11\mathrm{.}13$ percent, and pays its next coupon in one year. Both bonds have a coupon rate of $8\mathrm{.}16$ percent. What is the yield$-$to$-$maturity for bond $A?$

$5\mathrm{.}88\%($plus or minus $2bps)$

$2\mathrm{.}20\%($plus or minus $2bps)$

$6\mathrm{.}57\%($plus or minus $2$ bps$)$

$1\mathrm{.}78\%($plus or minus $2bps)$