Judy Johnson is choosing between investing in two Treasury securities that mature in five years and have par values of $$1,000.$ One is a Treasury note paying an annual coupon of $5\mathrm{.}06$ percent. The other is a TIPS that pays $3$ percent interest annually.

a$.$ If inflation remains constant at $2$ percent annually over the next five years, what will be Judy's annual interest income from the TIPS bond? From the Treasury note?