As of February $2010,$ Alex Rodriguez of the New York Yankees had the largest contract in sports history. As part of the 10 -year $275$ -million deal, he will receive $20$ million in $2016 .$ How much money would need to be invested in 2008 at $4 %$ interest, compounded continuously, in order to have $20$ million for Rodriguez in $2016 ?$ (This is much like determining what $20$ million in 2016 is worth in 2008 dollars.