Take the 2-minute tour ×
Quantitative Finance Stack Exchange is a question and answer site for finance professionals and academics. It's 100% free, no registration required.

Assume that you are given an arbitrary payoff profile for European vanilla position (e.g. butterfly). How to make a back of the envelope sketch of a second order greek profile for it (i.e. plot showing dependency of a greek w.r.t. to spot or vol)? I'm interested in major second order greeks like Dvega/Dvol, Dgamma/Dspot, Dgamma/Dvol, Dvega/Dspot. The sketch should at least correctly show signs and relative value (i.e. highs/lows) of the greek.

share|improve this question
add comment

2 Answers

If your "European vanilla options" are restricted to piece-wise linear pay-offs, then the following may help:

Remark: I assume you are looking for a rule of thumb to get the profiles without the use of a computer.

All piece-wise linear pay-offs can be decomposed into a sum of digital options and call options with different notional (possibly negative) and strike. Thus you may learn the greek profile of these two by heart and then geometrically add the profiles according to the decomposition of your vanilla option.

share|improve this answer
add comment
  • Use a pen, paper, lower the pen to touch the paper, and start sketching your intuition. ;-)

  • If that sounds too simplistic then you could shift spot or implied vols by a percentage or point value and recalculate the shift impact either on spot or otherwise apply the shift to the closed form solution of those greeks you attempt to evaluate. As you evaluate a basic option and its greeks this should be a fairly easy exercise.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.