Find the duration of a $9\mathrm{.}4\%$ coupon bond making$$semiannually$$coupon payments if it has three years until maturity and has a yield to maturity of $6\mathrm{.}0\%.$ What is the duration if the yield to maturity is $12\mathrm{.}0\%?$ Note: The face value of the bond is $$100.($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

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