An investor wants to find the duration of$$ a$($n$)30-$year, $8\%$ semiannual$$ pay, noncallable bond$$ that's currently priced in the market at $$$$738\mathrm{.}25,$ to yield $11\%.$ Using a $250$ basis point change in$$ yield, find the effective duration of this bond $($Hint$$: use Equation$11\mathrm{.}11).$

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Part $1$

The new price of the bond if the market interest rate decreases by $250$ basis points$($or $2\mathrm{.}5\%)$ is $$$enter your response here. $($Round to the nearest$$ cent.$)$

Part $2$

The new price of the bond if the market interest rate increases by $250$ basis points$($or $2\mathrm{.}5\%)$ is $$$enter your response here. $($Round to the nearest$$ cent.$)$

Part $3$

The effective duration of the bond is enter your response here. $($Round to two decimal$$ places.$)$