Kate plans to save $$100$ a month, starting today, for $20$ years.

Jane plans to save $$100$ a month for $20$ years, starting one month

from today. Both Kate and Jane expect to earn an average return of

$5\mathrm{.}5$ percent on their savings. At the end of the $20$ years, Kate will

have approximately $\_\_\_\_\_$ more than Jane.$$$$0$$$159\mathrm{.}73$$$299\mathrm{.}66$$$78\mathrm{.}14$$$66\mathrm{.}67$