The current price for a stock index is 1,000 . The following premiums exist for various options to buy or sell this stock index six months from now: Strategy I is to buy the 1,050-strike call and to sell the 950-strike call Strategy II is to buy the 1,050-strike put and to sell the 950 -strike put Strategy III is to buy the 950 -strike call and to sell the 1,050 -strike call Assume that the price of the stock index in 6 months will be between 950 and 1,050 . Determine which, if any, of the three strategies will have greater payoffs in six months for lower prices of the stock index than for relatively higher prices. Select one alternative: III only. II and III only. I and III only. I and II only