Consider a long position of $50$ index futures that have $9$ months to expiry and a

contract size of $100$ index units. The stocks in the index have an average dividend

yield of $1\mathrm{.}2\%$ and the current $9-$month interest rate is $2\mathrm{.}4\%.$ What is the delta of this

position with respect to the index?

Note: Your answer must be accurate to within $0\mathrm{.}1.$