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Calculating the UL price in which delta equals zero
- Thread starter TskTsk
- Start date
Quote from TskTsk:
How do you calculate the UL price in which your portfolio delta will be equal to zero? Is it as easy as current UL price +/- (delta/gamma)? I fear this wont work since gamma is nonlinear. Anyone care to confirm, or maybe have a better formula for me? Thanks
It's very simple:
UL price - UL price = portfolio delta will be equal to zero
Quote from TskTsk:
How do you calculate the UL price in which your portfolio delta will be equal to zero? Is it as easy as current UL price +/- (delta/gamma)? I fear this wont work since gamma is nonlinear. Anyone care to confirm, or maybe have a better formula for me? Thanks
You are right. Use delta and fixed gamma to get you close to the answer, recalculate your Greeks and repeat. Do so until you get to some epislon away.
Quote from ForexForex:
It's very simple:
UL price - UL price = portfolio delta will be equal to zero
UL price - UL price? You mean UL price (at zero delta ) minus UL price (at current delta)? That wont work, since I dont have UL price at zero delta.
So say I have +100 D and +200 G. So according to this my required UL movement is 0.5 to get back to delta neutral. Now, you mention greek recalculation as the next step...how exactly do you go about this?Quote from newwurldmn:
You are right. Use delta and fixed gamma to get you close to the answer, recalculate your Greeks and repeat. Do so until you get to some epislon away.
Thanks
Quote from TskTsk:
So say I have +100 D and +200 G. So according to this my required UL movement is 0.5 to get back to delta neutral. Now, you mention greek recalculation as the next step...how exactly do you go about this?
1. Take UL = UL - delta/gamma
2. Calculate new delta and gamma by plugin UL in BS calculator.
3. If |delta| > epsilon, where epsilon is a small positive number, goto 1. Else UL is UL(delta=0).
Quote from TskTsk:
UL price - UL price? You mean UL price (at zero delta ) minus UL price (at current delta)? That wont work, since I dont have UL price at zero delta.
So say I have +100 D and +200 G. So according to this my required UL movement is 0.5 to get back to delta neutral. Now, you mention greek recalculation as the next step...how exactly do you go about this?
Thanks
Correct. I think. I have always looked at delta and gamma in dollar terms. But of you did your way you would be close to the right answer. Probably close to within reasonable rounding error to the size of your book. The recalc would be of you had some really convex options levered skew (where dgamma/dspot is high) or were really anal.