Carlos owns investment A and $1$ bond B$.$ The total value of his holdings is $$2,496\mathrm{.}36.$ Investment A is expected to pay annual cash flows to Ronish of $$291\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 $15\mathrm{.}55$ percent. Bond B pays semi$-$annual coupons, matures in $13$ years, has a face value of $$1,000\mathrm{.}00,$ has a coupon rate of $8\mathrm{.}52$ percent, and pays its next coupon in $6$ months. What is the yield$-$to$-$maturity for bond $B?$

$4\mathrm{.}78\%($plus or minus $2bps)$

$3\mathrm{.}47\%($plus or minus $2bps)$

$9\mathrm{.}57\%($plus or minus $2$ bps$)$

$5\mathrm{.}32\%($plus or minus $2bps)$

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

NONE IS NOT THE ANSWER