Assume that Treasury bills pay $$5,000$ in $1$ year and are currently selling for $$5,012.$

a$.$ What is their yield to maturity?

b$.$ If a commercial bank buys Treasury bills today and sells them tomorrow, do they earn an interest rate equivalent to the yield to maturity? Why or why not?

c$.$ Does the yield to maturity that you calculate in part $($a$)$ make sense? Why$/$why not?