Ricardo owns investment A and $1$ bond B$.$ The total value of his holdings is $$2,707\mathrm{.}19.$ Investment A is expected to pay annual cash flows to Ronish of $$282\mathrm{.}00$ per year with the first annual cash flow expected later today and the last annual cash flow expected in $8$ years from today. Investment A has an expected return of $15\mathrm{.}31$ percent. Bond B pays semi$-$annual coupons, matures in $11$ years, has a face value of $$1,000\mathrm{.}00,$ has a coupon rate of $8\mathrm{.}82$ percent, and pays its next coupon in $6$ months. What is the yield$-$to$-$maturity for bond B$?$

$3\mathrm{.}29\%($plus or minus $2$ bps$)$

$6\mathrm{.}59\%($plus or minus $2$ bps$)$

$2\mathrm{.}23\%($plus or minus $2$ bps$)$

$2\mathrm{.}70\%($plus or minus $2$ bps$)$

none of the answers are within $2$ bps of the correct answer