To: Cautious_Optimist who wrote (876 ) 4/28/1999 8:54:00 PM From: Daniel Chisholm Respond to of 10293
If you write a naked call, you take in premium (which is your maximum possible profit), and you bear the risk of the stock going out over the strike price. The risk of loss to a naked call writer and a short seller are similar - the higher the stock goes, the greater the loss, with no theoretical limit. The potential profit is a bit different though. A short seller can theoretically realize 100% of the price he shorted the stock at. The maximum theoretical profit available to a short seller (i.e., 100% of the short sale price, in the case that the stock goes to zero) is always greater than the maximum theoretical profit available to a naked call writer (100% of the premium received, in the case that the stock ends up at or below the strike price at expiration). However, to compensate the call option writer for the smaller potential profit even though he bears the same risk of ultimate doom as a short seller, the premium he receives raises his break-even point to be the strike price + premium received. This gives him a "head start" in profitability over the short seller, in order to compensate him for the reduced profit potential. In other words, shorting a stock is not exactly the same as writing a naked call, although it has certain similarities (you have a large potential loss; you benefit from a falling stock price). In order to make a short position "identical" to a naked call, one must also sell (write) a put option (at the same strike price as the naked call option you wish to be equivalent to). Writing a put position means that you are surrendering much of the profit potential of your short position, but in return you receive a premium, which raises your break-even price. When you do the math, and consider the various possible arbitrage opportunities (which other market participants will do even if you don't), options end up being priced (usually! ;-) such that a covered put position (short stock plus write a put) ends up being equivalent to a naked call position. Clear as mud? I thought so.... :-( - Daniel