I'm trying to figure out how to determine my Greek position limits in order to do effective financial risk management. I can risk $15000 per position, and I am moderately aggressive, and hold my trades for a maximum of 5 days.
Watch your thetas, for the overall portfolio. Don't let them grow too large given size of book.
So I'm going to limit my thetas to -$300/day. What about vega, gamma, and delta? Should I have a limit on positive theta?
I was referring to long thetas. If you're short theta/long gamma, then you're long risk.
Well, my goal is to minimize my risk, not avoid it entirely.
Probably by being gamma-delta neutral, long or short vega depending on my volatility outlook, and either theta neutral or long theta.
Why aren't vomma and vanna automatically calculated as well? Being vomma neutral would be great.
Why complicate things? Looking at global thetas (and delta) inherently gives your risk exposure. Vomma risk will be inconsequential day-to-day given your holding time account size.
Problem with greek position limits is that the greeks themselves can change quickly and they are often dependent on the parameters (vol and moneyness).
If an option has higher vol, it will have less gamma but it will be a riskier option than an option with lower vol.
Most traders use a shock based methology for determining risk limits. They will answer a question similar to "I can't lose more than X on a 20% gap move." This normalizes across all stocks and accounts for all the greeks and their changing behavior. What it doesn't account for is the probability of that 20% gap move.
You make a few rules that you have to stay within that keep your loss to 15,000 and constantly check for that. A reasonable rule is that you don't have to put up more than 15,000 of portfolio margin for the underlying.