Martha has estimated that she would need $$35,000$ per year $($in today's $ terms$)$ to live on in retirement. She will be retiring in $30$ years and is funding for a $23-$years retirement period. The inflation rate is expected to be $2\%$ per year and the after$-$tax return on her investments is expected to be $5\mathrm{.}5\%.$ Calculate the amount she should save every year starting today in her retirement account to fund her post retirement period.

Group of answer choices

$$13,769$

$$12,049$

$$15,489$

$$14,241$