Two bonds have par values of $$1,000.$ One is a $5\mathrm{.}5\%,18-$year bond priced to yield $9\mathrm{.}0\%.$ The other is a$($n$)8\mathrm{.}5\%,25-$year bond priced to yield $6\mathrm{.}0\%.$ Which of these two has the lower price? $($Assume annual compounding in both cases.$)$

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