Please show your work.

Suppose you have a stock market portfolio with a beta of 87 that is currently worth $798 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 30, and the S&P 500 Index is at 1,270. (Negative amounts should be indicated by a minus sign. Round your answer to the nearest whole number.) Number of option contracts