442 Sell a call (bear) spread: Buy April 80 call Sell April 70 call Net credit on calls Sell a put (bull) spread: Buy April 70 put Sell April 80 put Net credit on puts Total credit of position 3 debit 81/2 credit 1 debit 6 credit Part IV: Additional Considerations 5 credit 10 1/2 credit In this case, no matter where XYZ is at expiration, the position can be bought back for 10 points. This means that the arbitrageur has locked in risk-free profit of¼ point. To verify this statement, first assume that XYZ is above 80 at April expiration. The puts will expire worthless, and the call spread will have widened to 10 points - the cost to buy it back. Alternatively, if XYZ were between 70 and 80 at April expira­ tion, the long, out-of-the-money options would expire worthless and the in-the­ money combination would cost 10 points to buy back. (For example, the arbitrageur could let himself be put at 80, buying stock there, and called at 70, selling the stock there - a net "cost" to liquidate of 10 points.) Finally, if XYZ were below 70 at expi­ ration, the calls would expire worthless and the put spread would have widened to 10 points. It could then be closed out at a cost of 10 points. In each case, the arbitrageur is able to liquidate the box spread by buying it back at 10. In this sale of a box spread, he would earn interest on the credit received while he holds the position. There is an additional factor in the profitability of the box spread. Since the sale of a box generates a credit, the arbitrageur who sells a box will earn a small amount of money from that sale. Conversely, the purchaser of a box spread will have a charge for carrying cost. Since profit margins may be small in a box arbitrage, these carrying costs can have a definite effect. As a result, boxes may actually be sold for 5 points, even though the striking prices are 5 points apart, and the arbitrageur can still make money because of the interest earned. These box spreads are not easy to find. If one does appear, the act of doing the arbitrage will soon make the arbitrage impossible. In fact, this is true of any type of arbitrage; it cannot be executed indefinitely because the mere act of arbitraging will force the prices back into line. Occasionally, the arbitrageur will be able to find the option quotes to his liking, especially in volatile markets, and can establish a risk-free