Today the stock index S&P500 stands at 2800 units. a) You believe that in 12 days from now the index will rise to 2840 points. i) How can you use call options to invest 100? ii) How can you use put options to invest 100? iii) How can you use the futures contract to invest 100? b) You believe that in 8 days from today the index will fall to 2740 points. i) How can you use call options to invest 100 ?

ii) How can you use put options to invest 100? iii) How can you use the futures contract to invest 100?