Juan owns investment A and $1$ bond $B.$ The total value of his holdings is $$3,100\mathrm{.}00.$ Bond $B$ has a coupon rate of $19\mathrm{.}14$ percent, par value of $$1,150\mathrm{.}00,$ YTM of $9\mathrm{.}47$ percent, $12$ years until maturity, and semi$-$annual coupons with the next coupon due in $6$ months. Investment A is expected to produce cash flows forever. The next cash flow is expected to be $$108\mathrm{.}00$ in $1$ year, and subsequent annual cash flows are expected to increase by $g$ each year forever. The expected return for investment $A$ is $16\mathrm{.}99$ percent. What is $g,$ the annual growth rate for the annual cash flows paid by investment $A?$

$11\mathrm{.}43\%($plus or minus $2$ bps$)$

$9\mathrm{.}29\%($plus or minus $2$ bps$)$

$7\mathrm{.}70\%($plus or minus $2bps)$

$26\mathrm{.}28\%($plus or minus $2bps)$

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