A small business expects an income stream of $$9500$ per year for a $14-$year period.

$($a$)$ Find the present of the business if the annual interest rate, compounded continuously, is $($i$)6\%$ and $($ii$)13\%$

$($In either case, specify your answer to the nearest cent $($i$.$e$.,0\mathrm{.}01$ dollar$).)$

$($i$)$ present value $=$$

$($ii$)$ present value $=$$

$($b$)$ In each case, find the value of the business at the end of the $14-$year period.

$($i$)$ Value after $14$ years $=$$

$($ii$)$ Value after $14$ years $=$$