AmerisourceBergen Inc. is planning to offer a $$1,000$ par value $12-$year maturity bond with a coupon interest rate that changes every $4$ years. The coupon rate for the first $4$ years is $13\mathrm{.}00$ percent, $14\mathrm{.}80$ percent for the next $4$ years, and $15\mathrm{.}50$ percent for the final $4$ years. If Oliver requires an $18$ percent rate of return on a bond of this quality and maturity, what is the maximum price Oliver would pay for the bond? $($Assume interest is paid annually at the end of each year.$)$

$$803\mathrm{.}21$

$$782\mathrm{.}27$

$$735\mathrm{.}63$

$$893\mathrm{.}35$