You have a stock market portfolio with a beta of $0\mathrm{.}75$ that is currently worth $$290$ million. You wish to hedge against a decline using index options. Suppose you decide to use SPX calls. Calculate the number of contracts needed if the call option you pick has a delta of $0\mathrm{.}5,$ and the S&P $500$ Index is at $1,160.($Writing options should be indicated by a minus sign. Round your answer to the nearest whole number.$)$

Call contracts