November 4th, 2003, 12:23 pm
Typically, yes, a weighted average of greeks will give you portfolio greeks, which are still just an approximation. With Delta-gamma VaR, that may be good enough for what you are doing, but I prefer to be more conservative.The only way, IMHO to properly measure VaR for any position with third-order or higher effects (like any option, but the common greeks only go to second degree and don't include many cross-derivatives) is to re-price the entire option protfolio at the threshold scenarios, and stress test them for extreme values.One major risk delta-gamma ignores is vega risk, which alone can devastate you...Jorion, in "Value at Risk" describes this as "Full Simulation"