What amount is required to purchase an annuity that pays $$4000$ at the end of each quarter for the first five years and then pays $$2500$ at the beginning of each month for the subsequent $15$ years? Assume that the annuity payments are based on a rate of return of $4\mathrm{.}8\%$ compounded quarterly. $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

P$.$S$.$ If you could use the BA II Plus Texas Instruments to solve to question it would be very appreciated.