## Monday, April 12, 2010

### Implied Volatility and Earnings

Earnings season is upon us and is harkened by this evening's release of Alcoa, Inc.'s (AA) numbers. The question traders are asking is: What impact will the earnings release have on the price of the stock? Well there is a quick and dirty method for estimating this and it works particularly well on expiration week (which this week is for those who weren't paying attention). Take the front month implied volatility of the at-the-money options and divide by the square root of time. What?

Let's use AA as our example. AA closed on Friday at \$14.39, which isn't conveniently right at a strike, but since AA options have strike in \$1 increments we can use an estimated average of implied volatility for the 14 and 15 strikes on the April options. Obviously, stocks are seldom right at a strike so the simple averaging of the two surrounding strikes is a good way to go. If you want to get really fancy you can calculate a weighted average, but that kind of defeats the quick and dirty part. So the average implied volatility for these strikes as of Friday's close was approximately 65%. It's important to remember that that is an annualized number. To convert that into the a daily expectation we need to divide that by the square root of time, which in this case is the number of trading days in a year. Generally there are about 250 trading days per year and √250 = 15.81, but 16 is good for quick and dirty and is also much easier to remember. 65%/16 = 4.06% or roughly \$.58. Note that there is no directional implication.

Now there are three important points to keep in mind. First, the calculated value is based on Friday's close, a better estimate can be made when as we approach today's 4 PM close. In other words do the math again around 3:30 PM, since there is likely to be some active trading in these options ahead of the earnings report which will obviously impact the implied volatility value. Second, know what the number means. Implied volatility is the boundary of the first standard deviation, meaning that if you could repeat this particular earnings release 100 times, 67 of those releases would impact the stock by no more than + or – 4% and 33 of those releases would result in a gain or loss in value of more than 4%. Finally and probably most importantly, is the trend in volatility. It's a good idea to know whether both actual and implied volatility has been rising or falling over the last several days to get a feel for what expectations are out there. Unless you have been following the options for a few days it is hard to know this, however you can get a pretty good estimate for an individual stock at www.ivolatilty.com . But it is really about the last minute action ahead of the numbers, so looking at the 3:30 PM calculation compared to Friday's calculation may be sufficient.

In summary, the average implied volatility of the at-the-money strikes divided by 16 will give you a range of potential impact of the earnings release. While we are using this method for estimating the impact of an earnings event, you can use it whenever there is an impending event that could have an immediate impact on a stock.

## Wednesday, April 7, 2010

### The Straddle, Volatility Plays and the Greeks – Part 3

At long last, the short straddle discussion is here. Originally a theoretical short position in the SPY Apr 116 straddle could have been established in late March for a credit of \$3.54, providing expiration breakeven prices of 112.46 and 119.54. Since the original trade date on March 23, SPY spent several days in the 116-118 range before pushing above 119 yesterday. So the position is dangerously close to being a loser come April expiration and more importantly is already a paper loser. Fortunately, implied volatility has declined and time has passed, both of which work in favor of the short straddle holder. So let's compare some of the changes in the approximate Greeks then and now.

 SPY Apr 116 10 Contract Straddle Value Delta Gamma Theta Vega Mar. 23 (SPY @ 116.5) \$3540 -110 -118 +\$72 -240 Apr. 7 (SPY @ 119) \$3660 -673 -130 +\$81 -120 Apr. 7 (If SPY was @ 116) \$2510 -30 -248 +\$114 -150

The position is showing a paper loss of \$120 and the short delta (∆) exposure has increased considerably as the calls have moved deeper into the money. The fact that the calls are roughly 2.6% in-the-money, has a limiting effect on gamma (Γ), theta (θ), and vega (v) which can be seen when compared to their respective theoretical values if SPY was closer to the strike. Generally speaking as stocks move further from the strike and expiration approaches, ∆ becomes more important than the other Greeks.

Managing ∆ risk also becomes increasingly important. Ideally of course, one does nothing and the stock returns to close right at the strike. However, most people tend to get a little nervous and choose to manage the ∆ risk to at least some extent. Unlike the long straddle position, where you buy low and sell high, the short straddle requires you to buy high and sell low if you want to remain ∆ neutral. You might ask why anyone would want to do that; because you are getting paid to assume that risk in the form of θ. Over the life of the position, the losses incurred from the buying high and selling low are hopefully more than offset by the declining value of the straddle. Like the long position, most traders use a mechanical approach on a percentage move, net ∆ basis, simply flattening out at the end of the day, or some combination of those parameters.

For example, if you are using a net ∆ approach, you might choose to purchase SPY when you reached negative 200 ∆'s. This likely would have occurred last week with the ETF around 117. The method would have you purchase 200 shares of SPY at that level. Since the stock continued to move higher, you would have been short (net of the first purchase) 200 ∆'s around 118 and then bought 200 shares more. If the underlying starts moving lower, you may need to sell some of this stock out to maintain a net position no greater than +/- 200 ∆'s. In this scenario, let's say that SPY is back to 116 and purchases of 200 shares were made at 117 and 118 as well as a subsequent sale of 200 at 117. For argument sake let's assume that SPY dropped briefly below 116 today causing you to sell 200 at 115.80, but is now back to 116 and the position looks like the last row in the above table. What has happened? Not including transaction costs, hedging with stock has lost \$440, but the value of the position has decayed by more than \$1000, yielding a net paper profit of \$570.

As you can see holding a short straddle position can be a nerve racking experience because of the counter-intuitive way that you need to hedge. However, given the stock movement in this scenario, had you been long the straddle, you would be down \$570 even though you are buying low and selling high! Clearly, straddles in general are for the more advanced trader and transaction costs become very important.

On a final note, the example used here involves an ETF which are much less likely to produce a significant gap. So there is an additional word of caution when employing a short straddle with an equity as an underlying. A good example of that would be today's action in Monsanto (MON). The stock disappointed the street with this morning's earnings report and gapped down to \$67.53 on the open from a close yesterday of \$69.80. During the first hour and a half of trading, it has traded as high as \$71.26 and as low as \$67.25, but is recently trading around \$68.90. Anyone, who was short the Apr 70 straddle is likely to be having a very stressful day. As always, trading carries risks, understand them before you initiate a position and have a plan for hedging or closing that position in all scenarios.