An investor wants to find the duration of$$ a$($n$)20-$year, $6\%$ semiannual$$ pay, noncallable bond$$ that's currently priced in the market at $$$$802\mathrm{.}07,$ to yield $8\%.$ Using a $200$ basis point change in$$ yield, find the effective duration of this bond $($Hint$$: use Equation$11\mathrm{.}11).$

The new price of the bond if the market interest rate decreases by $200$ basis points$($or $2\%)$ is $???($Round to the nearest$$ cent.$)$