Suppose the value of the S&P $500$ Stock Index is currently $$2,216.$ If the one$-$year T$-$bill rate is $4\mathrm{.}7\%$ and the expected dividend yield on the S&P $500$ is $2\mathrm{.}9\%.$

a$.$ What should the one$-$year maturity futures price be$?($Do not round intermediate calculations$)$

b$.$ What would the one$-$year maturity futures price be$,$ if the T$-$bill rate is less than the dividend yield, for example, $2\mathrm{.}1\%$