Is delta independent of vega?

Discussion in 'Options' started by RGLD, May 20, 2022.

  1. RGLD

    RGLD

    Delta is the amount the option price will move if the underlying moves $1.
    Vega is the amount the option price will move if IV moves 1%.

    My question is does Vega effect Delta? Or do both of them attack the options price independently?

    If the latter is true, have a delta neutral position doesn't mean anything if Vega can effect the option price too?

    Also what about Theta? Does Theta decrease Delta when it winds down? Or is that independent too? Can you do "Theta" spreads where you only benefit from time decay with no market risk?
     
  2. 2rosy

    2rosy

    they're all first order derivatives. they're independent
     
    Flynrider likes this.
  3. They are not independent, but the normal usage ASS-U-MEs all other factors remain the same! So delta will be very close IFF volatility remains constant. Vega will be fairly accurate IFF underlying price does not change. -- Most people prefer to ignore the "IFF" part!
     
    Last edited: May 20, 2022
  4. There is a reason their relationships are actually partial differential equations, so no it is not
     
    David's faith likes this.
  5. You would need to do delta hedging, vega hedging, gamma hedging, would be interesting to see if its possible but probably costly and greatly reduce profit. Gamma hedging for instance requires dealers to sell into downfalls thus exacerbating the downfall
     
  6. newwurldmn

    newwurldmn

    Yes. For an otm option, change in implied vol will change delta. There is often a correlated relationship between vol and spot movements so you gamma and Vega will need to be managed in concert.

    You have three basic risks in an options trade: delta, Vega, gamma/theta. They are often related so you have to manage them all in totality though you can reduce aspects of one.

    you can’t have positive theta and flat gamma unless you take on second order risks. This is generally done through some
    Kind of skew trade but that will create a massive Vega/delta correlated position. I’ve seen many people make/break their careers on that position.



     
  7. 2rosy

    2rosy

    the post is
    Is delta independent of vega?

    not is delta independent of volatility
     
  8. RGLD

    RGLD

    How would you juggle so many different variables in an options trade? I heard you can model a graph on thinkorswim, but you can't map just the deltas can you? Or vegas in a spread?
     
  9. newwurldmn

    newwurldmn

    with the Greeks and risk shocks.
    However, with experience you get a feel for what your risks are and how they are changing.
     
    Windlesham1 and Gambit like this.
  10. Options can give you a free lunch with dessert!
     
    #10     May 21, 2022