Required:

a$.$ Find the duration of a $6\mathrm{.}2\%$ coupon bond making annual coupon payments if it has three years until maturity and has a yield to

maturity of $6\mathrm{.}2\%.$

Note: The face value of the bond is $$1,000.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

b$.$ What is the duration if the yield to maturity is $8\mathrm{.}4\%?$

Note: The face value of the bond is $$1,000.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.