Suppose that currently the bid and ask prices of a stock are $80 and $81, respectively. You are an arbitrageur with a continuously compounded borrowing rate of 8% and a continuously compounded lending rate of 7%. There is a futures contract on this stock with 1-year maturity. Assume that there is $1 round-trip transaction cost for taking any position either on the stock or its futures contract. Which statement is false based on above information? There is no arbitrage opportunity if the futures price is $82. There is arbitrage profit if the futures price is between $80 to $81. One can have arbitrage profit by taking a short futures position if the futures price is $87 One can have arbitrage profit by taking a long futures position if the futures price is $83