January 31st, 2002, 12:22 am
We use to have gamma limits to control our FX options desk but these have since been removed. In it's place, we have introduced what our market risk guys called "event risk" test which essentially involving shifting the spot by say + and - 5% (depending on currency). We dealt in both plain vanilla options as well as barriers. Can anyone tell me whether the "event risk" thingie at least achieve the same control objective as that of the gamma limits? if not, why? >>
To a second order, the two limits are identical, if properly calibrated. You can set a delta limit either by calculating an analytic delta or by a DV01, setting a limit on the price movement for a 0.01% price or rate movement. Given a delta limit, you can set a gamma limit either by computing an analytical gamma, or setting a limit on price movement for a larger interval than you use for delta.
One difference, as Paul said, is that your 5% test might capture some higher order risk. It's easy to put together a position that is analytically delta and gamma neutral, that generates a lot of P&L at a 5% spot movement.
Another difference is aggregation. Gamma risk is usually aggregated by assuming some correlation among spot prices. Event risk is usually aggregated by looking at specific past events. Thus event risk gives a better picture of the possibility of catastrophic losses, while gamma gives a more accurate estimate of the day-to-day P&L volatility.
I agree you need both greeks and shifts to get an adequate picture of risk.