What amount is required to purchase an annuity that pays $$5000$ at the end of each quarter for the first five years and then pays

$$2000$ at the beginning of each month for the subsequent $15$ years? Assume that the annuity payments are based on a rate of return

of $5\mathrm{.}4\%$ compounded quarterly. $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

The amount

$$490,052\mathrm{.}38$

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