You observe the current yield curve as follows: r$0\mathrm{.}5=2\mathrm{.}6\%,$ r$1=2\mathrm{.}7\%,$ r$1\mathrm{.}5=2\mathrm{.}8\%,$ r$2=3\mathrm{.}0\%,$ r$2\mathrm{.}5=3\mathrm{.}1\%,$ and r$3=3\mathrm{.}4\%.$ What is the price of a T$-$note which has a coupon rate of $3\%,3$ years to maturity, and $$1,000$ par?

A$.$

$$989\mathrm{.}18$

B$.$

$$971\mathrm{.}56$

C$.$

$$1,014\mathrm{.}23$

D$.$

$$1,002\mathrm{.}67$