The CPI stood at $96\mathrm{.}4,98\mathrm{.}6,101\mathrm{.}2,103\mathrm{.}3,105\mathrm{.}7,$ and $108\mathrm{.}9$ on the same date in successive years.

What amount was required at the end in order to have the same purchasing power as $$100$ five years earlier? $($Round your answer to the nearest cent.$)$

Amount $