Two bonds have par values of$$ $$1,000.$ One is a $4\%,18-$year bond priced to yield $9\mathrm{.}0\%.$ The other is$$ a$($n$)8\%,25-$year bond priced to yield $5\mathrm{.}5\%.$ Which of these two has the lower$$ price? $($Assume annual compounding in both$$ cases.$)$