Suppose you are committed to owning a $$225,000$ Ferrari.

If you believe your mutual fund can achieve an annual return of $12$ percent, and you want to buy the car in $15$ years on the day you turn $30,$ how much must you invest today? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Amount to be invested