Suppose you have a stock market portfolio with a beta of $0\mathrm{.}79$ that is currently worth $$203$ million. You wish to hedge against a decline using index options. Describe how you might do so with puts and calls. Suppose you decide to use SPX calls. Calculate the number of contracts needed if the call option you pick has a delta of $0\mathrm{.}40,$ and the S&P $500$ index is at $3,270.$