Quote from Maverick74:
Since you are the King, you go last. I'm going to paste newwurldmn's comments below as a warm up to mine.
Here is the thing. When one analyzes data we tend to take data and put it into an isolation chamber. In economics we call this marginal analysis. What that means is we want to hold all variables constant while allowing one to change, this is our dependent variable. In this isolation chamber where the world stops and everything is frozen in place we have these greek letters we use to manipulate so we can measure the change in our dependent variable as we play around with our independent variable. We can ONLY do this in our top secret air tight isolation chamber. Because once we make it out into the real world with live changing prices, none of these things exist. They only exist in isolation. As newwrldmn pointed out, when the stock starts moving around and the implied vol oscillates all your variables are changing. It's useless to pretend you know that the call went up because of this or that when in fact you don't know why it went up or went down.
As I said before, analyzing greek risk is best when assessed on the aggregate. The reason for this is because when one has on several positions of all varieties, it's very hard to ascertain risk in a split second simply by observing all your positions. Remember, think back to my comments on the synthetics from earlier. So grouping large amounts of data together and measuring sensitivity to a portfolio is effective for on the fly risk analysis.
Now, let's go deeper and talk about theta. As I stated earlier, an option is an expression of distribution of future prices. It's not a day to forward outlook. For example, if I buy the AAPL Aug 430 calls which expire in 24 days, I'm not making a prediction on where AAPL will be tomorrow or at the end of the week. I'm making a prediction on AAPL's price distribution in 24 days. So for one to look at their theta and say, oh well I just sold those calls and I'll be earning $20 a day in theta is nonsensical. That's not what those calls are. As we stated earlier, your theta exists only in the isolation chamber. Once we put those 430 calls on the open market the option becomes dynamic. If AAPL pops 10 pts on the open tomorrow what does this do for your theta? Does it go up, go down, do nothing? What if implied vol goes up, goes down, stays flat? All these variables are moving. They are not static. You are not "earning" anything. You are expressing an opinion on the forward vol of AAPL over the 24 day period. At expiration those calls will trade at parity. It's as simple as that. You don't get to keep any theta as a dividend payment or a souvenir. What you do get is the realized distribution of the forward vol. If AAPL settles at 450, did you earn any theta? Does it matter?
At the end of the day, we know all the variables that go into option pricing (price, strike, days to expiration, interest rates, dividends and implied vol). That's what you have to sift through on your kitchen table. Not delta, gamma, theta and vega. Those are your second order derivatives. If you don't understand the first, it's pointless to figure out the second.