Laurie bought a $5-$year level annuity with payments made at the end of each year. The annuity has an annual yield rate of $7\mathrm{.}0\%$ and a

modified convexity of $11\mathrm{.}4080.$

Calculate the Macaulay convexity of the annuity.

$9\mathrm{.}9$

$10\mathrm{.}2$

$11\mathrm{.}7$

$12\mathrm{.}2$

$13\mathrm{.}1$