Two bonds have par values of$$ $$1,000.$ One is a $4\mathrm{.}5\%,$

$20-$year bond priced to yield

$8\mathrm{.}0\%.$ The other is$$ a$($n$)7\mathrm{.}5\%,$

$24-$year bond priced to yield

$6\mathrm{.}0\%.$ Which of these two has the lower$$ price? $($Assume annual compounding in both$$ cases.$)$