The appendix at the end contains the prices of a set of Google Call options. They have 59 days to maturity (T=58 days). Suppose the risk-free rate is 0% per annum. The stock price of Google was 738.06. Assume all the options are European Options. a. Find two options for which the low boundary condition DOES NOT Hold and thus arbitrage opportunities exist. Calculate the minimum arbitrage profit. Option 1: Strike Option 2: Strike In general, if a call option does not satisfy the low boundary condition, we ; Profit per Contract ; Profit Contract per _(buy/sell) the option, _(long/short) the stock, and (lend/Borrow) to realize arbitrage profit. b. Find three pairs of options for which the relationship C(K1) > C(K2) for K2 > K1 DOES NOT HOLD and thus arbitrage opportunities exist. Calculate the minimum arbitrage profit. ; Minimum Profit ; Minimum Profit ; Minimum Profit Pair 1: Strikes and Pair 2: Strikes and Pair 3: Strikes and In general, if the relationship does not hold, we _(buy/sell) the option with _(buy/sell) the option with low strike price, and high strike price, (lend/Borrow) to realize arbitrage profit. c. Find three pairs of options for which the relationship C(K,) C(K2) < K2 K1 for K2 > K, DOES NOT HOLD and thus arbitrage opportunities exist. Calculate the minimum arbitrage profit. Pair 1: Strikes and ; Minimum Profit Pair 2: Strikes and Minimum Profit Pair 3: Strikes and ; Minimum Profit In general, if the relationship does not hold, we high strike price, _(buy/sell) the option with _(buy/sell) the option with low strike price, and (lend/Borrow) to realize arbitrage profit. Appendix Strike Premium 645 63.2 650 99 655 57.5 660 87.85 665 64 670 75 675 57.3 680 71.25 685 39.12 690 64.7 695 52.8