A project requires an investment of $$60,000$ today and it will generate after$-$tax cash flows of $$19,000$ at the end of year $1,$$$33,000$ at the end of year $2,$ and $$28,000$ at the end of year $3.$ The company's weighted average cost of capital is $9\mathrm{.}6\%$ per year. What is the project's annual modified internal rate of return?

$12\mathrm{.}8\%$

$13\mathrm{.}2\%$

$12\mathrm{.}3\%$

$13\mathrm{.}9\%$

$11\mathrm{.}8\%$