Ann would like to receive $$40,000,$ adjusted for inflation, at the beginning of each year for the next $30$ years. She expects her investments to earn $7\%$ and inflation to average $3\%.$ What is the lump sum Ann will need to generate this income?

A$)$

$$701,571$

B$)$

$$728,817$

C$)$

$$496,361$

D$)$

$$691,681$