An investor invests $20,000$ in a four$-$year Certificate of Deposit $($CD$)$ that annually pays interest of $3\%.$ The annual CD interest payments are automatically reinvested in a separate savings account at a stated annual interest rate of $2\mathrm{.}4\%$ compounded monthly. At maturity, the value of the combined asset is closest to:

Question $7$ options:

$22,489.$

$21,950.$

$22,990.$

$23,890.$

$20,950.$