Bryant Investments is putting out a new product. The product will pay out $$32,000$ in the first year, and after that the payouts will grow by an annual rate of $2\mathrm{.}5$ percent forever. If you can invest the cash flows at $7\mathrm{.}25$ percent, how much will you be willing to pay for this perpetuity? $($Round to the nearest dollar.$)$

$$532,465$

$$609,524$

$$673,684$

$$711,111$