Jane is a $55$ year old investor. Jane already has a $401$k through her job but knows that she can earn more with her savings at a local bank. As a result, Jane decides to open up a Roth IRA.In January of $2023$ after researching broker$-$dealers, Jane opens an account and places the total amount of $14,500$ into the money market settlement fund; $7,000$ for her catch up contribution in $2022$ and $7,500$ for her catch up contribution in $2023.$ The settlement fund yields a $5\mathrm{.}26\%$ interest rate and Jane decides it is safe to leave her money in this fund until she is ready to reallocate. In April of $2024$ after a year of a consistent interest rate of $5\mathrm{.}26\%,$ Jane places another $8,000$ into this account.What is the present value of the account before Jane places the additional $8,000?$ After?What is the future value of Jane's account in December of $2024$ at her current interest rate?