Assuming annual compounding, the modified duration of a par value bond with a coupon rate of $5\mathrm{.}8\%$ and a remaining time to maturity of $3$ years is $q,.$

A$)2\mathrm{.}57$

B$)2\mathrm{.}68$

C$)2\mathrm{.}75$

D$),2\mathrm{.}84$