Suppose you are committed to owning a $$194,000$ Ferrari. If you believe your mutual fund can achieve an annual rate of return of $11$ percent and you want to buy the car in $8$ 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$.,32\mathrm{.}16.)$