Two bonds have par values of$$ $$1,000.$ One is a $5\mathrm{.}5\%,20-$year bond priced to yield $8\mathrm{.}0\%.$ The other is$$ a$($n$)8\mathrm{.}5\%,20-$year bond priced to yield $6\mathrm{.}5\%.$ Which of these two has the lower$$ price? $($Assume annual compounding in both$$ cases.$)$

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Part $1-$ The$$ price, PV$,$ of the $5\mathrm{.}5\%,20-$year bond is $$$$\_\_($Round to the nearest$$ cent.$)$

Part $2-$ The$$ price, PV$,$ of the $8\mathrm{.}5\%,20-$year bond is $$$$\_\_\_($Round to the nearest$$ cent.$)$