Suppose the value of the S&P $500$ stock index is currently

$2,000.$a$.$If the $1-$year T$-$bill rate is $3\%$ and the

expected dividend yield on the S&P $500$ is $2\%,$ what should the

$1-$year maturity futures price be$?$b$.$What if the T$-$bill rate is less than

the dividend yield, for example, $1\%?$The T$-$bill rate is less than the dividend yield, then the

futures price should be$$