You are a US resident. It is $30$th January and you plan to purchase a

$$10$m portfolio of around $30$ US stocks in $6$ months time with a portfolio

beta of $0\mathrm{.}5.$ You are worried about a rise in stock prices over the next $6$

months. The S&P$500$ index futures is currently at $1000($and is worth

$$250$ per point$).$ How could you hedge your future purchases using

stock index futures?