Mary Bergen is investing in treasury security that matures in $5$ years, par value $$1,000.$ The treasury note pays an annual coupon of $5\mathrm{.}06\%.$ There is inflation that remains constant at $2\%$ annually over the next five years.

$1)$ Does the inflation rate affect the interest calculation of treasury notes? Yes or no$.$

$2)$ What will be Mary$$s annual interest income from the Treasury note for $$each$$ of the $5$ years?