Arthur buys an $11-$year, $$10,000$ face value bond with $4\mathrm{.}5\%$ annual coupons paid semiannually and nominal yield compounded semiannually of $5\mathrm{.}7\%.$ He holds the bond long enough to collect six payments, then sells the bond. The nominal yield at time of sale is $5\mathrm{.}0\%.$ He must pay a $$10$ commission to sell the bond. Find the effective annual return on his original investment.

$($a$)0\mathrm{.}0525$

$($b$)0\mathrm{.}0575$

$($c$)0\mathrm{.}0625$

$($d$)0\mathrm{.}0675$

$($e$)0\mathrm{.}0725$