Required:

a$.$ Find the duration of a $6\%$ coupon bond making annual coupon payments if it has three years until maturity and a yield to maturity of $6\mathrm{.}2\%.($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

b$.$ What is the duration if the yield to maturity is $10\mathrm{.}2\%?($Do not round intermediate calculations. Round your answers to $4$ decimal places.$)$

$\backslash$table$[[$YTM$,$Duration,$],[$a$.6\mathrm{.}2\%$ YTM$,,$Years$],[$b$.10\mathrm{.}2\%$ YTM$,,$Years$]]$