a$.$ What is the duration of a two$-$year bond that pays an annual coupon of $11\mathrm{.}1$ percent and has a current yield to maturity of $13\mathrm{.}1$ percent? Use $$1,000$ as the face value. $($Do not round intermediate calculations. Round your answer to $4$ decimal places. $($e$.$g$.,32\mathrm{.}1616))$ b$.$ What is the duration of a two$-$year zero$-$coupon bond that is yielding $11\mathrm{.}5$ percent? Use $$1,000$ as the face value.

$\backslash$table$[[],[$a$.,$Duration,$],[$b$.,$Duration,years$]]$