Required:

a$.$ Find the duration of a $7\%$ coupon bond making annual coupon payments if it has three years until maturity and a yield to maturity of $7\mathrm{.}4\%.($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

b$.$ What is the duration if the yield to maturity is $11\mathrm{.}4\%?($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

$\backslash$table$[[$YTM$,$Duration,$],[$a$.7\mathrm{.}4\%$ YTM$,,$Years$],[$b$.11\mathrm{.}4\%$ YTM$,,$Years$]]$