A bond with a coupon rate of $9$ percent sells at a yield to maturity of $11$ percent. If the bond matures in $15$ years, what is the Macaulay duration of the bond? What is the modified duration?

Note: Do not round intermediate calculations. Round your answers to $3$ decimal places.

Answer is complete but not entirely correct.

$\backslash$table$[[,$Duration$],[$Macaulay$,8\mathrm{.}293,$years$],[$Modified$,7\mathrm{.}471,$years$]]$

The answers currenty on the question are wrong