Paul owns investment A and $1$ bond $B.$ The total value of his holdings is $$6,450\mathrm{.}43.$ Investment A is expected to pay annual cash flows to Paul forever with the first annual cash flow expected in $1$ year from today. Investment A has an expected return of $11\mathrm{.}53$ percent. The first cash flow is expected to be $$510\mathrm{.}00$ in $1$ year and annual cash flows are expected to increase by $2\mathrm{.}04$ percent each year forever. Bond B pays semi$-$annual coupons, matures in $10$ years, has a face value of $$1,000\mathrm{.}00,$ has a coupon rate of $12\mathrm{.}52$ percent, and pays its next coupon in $6$ months. What is the yield$-$to$-$maturity for bond B$?$

$5\mathrm{.}26\%($plus or minus $2bps)$

$11\mathrm{.}23\%($plus or minus $2bps)$

$11\mathrm{.}53\%($plus or minus $2bps)$

$5\mathrm{.}97\%($plus or minus $2bps)$