Two bonds have par values of $$1,000.$ One is a $4\mathrm{.}5\%,18-$year bond priced to yield $8\mathrm{.}0\%.$ The other is a$($n$)7\mathrm{.}5\%,20-$year bond priced to yield $4\mathrm{.}5\%.$ Which of these two has the lower price? $($Assume annual compounding in both cases.$)$

The price, $PV,$ of the $4\mathrm{.}5\%,18-$year bond is $ $($Round to the nearest cent.$)$