A thirty

$-$

year annuity has end

$-$

of

$-$

month payments. The first year the payments are each $

$120$

$.$

$$In subsequent years each payment

increases by $

$5$

$$over what it was the previous year. Find the present value of the annuity if

i

$=$

$3$

$\%$

$.$

$($

Round your answer to the

nearest cent.

$)$