A business owner is retiring soon and wants to sell some of his stock and buy an annuity that will provide him with income of $$40,000$ per year for $30$ years, beginning a year from today. The current rate on these annuities is $7\mathrm{.}25\%.$ How much should this annuity cost?

$$503,512\mathrm{.}37$

$$571,292\mathrm{.}88$

$$455,097\mathrm{.}72$

$$484,146\mathrm{.}51$

$$561,609\mathrm{.}95$