Stock<>Index Option Arbitrage?

Discussion in 'Options' started by sondermark, Oct 28, 2011.

  1. sle

    sle

    I think the real edge is in vol or var swap dispersion... if you got enough capital to play, of course.
     
    #11     Oct 29, 2011
  2. This. is. not. an. arb.

    As a rule of thumb, the formula:

    index_vol = sqrt(correlation) * weighted_avergage_component_vol

    isn't a bad approximiation.

    So index vol at 83% of component vol implies a correlation of 0.69 (.83 squared). Your "arb" is just a bet that realized correlation will be lower than 0.69.

    Acutal formula is:

    sqrt( summation(i)[v(i)^2*w(i)^2] +2*sumsum(i,j>i)[v(i)*v(j)*w(i)*w(j)*p(i,j)])

    where v is vol, w is weight, and p is rho or correlation.

    Or in matrix form: sqrt(W'QW)

    where Q is the covar matrix and W is a vector of weights.


    Did you read the paper posted earlier in the thread?
     
    #12     Oct 30, 2011
  3. Hi Guys,

    Thank you for all your help the last days.

    I have read the paper several times and after working a bit with it finally understand dispersion theory. For some reason I was really slow to grasp this.

    Again, I do really appreciate your help!

    Kind regards,
    Steffan
     
    #13     Oct 30, 2011
  4. newwurldmn

    newwurldmn

    Don't mock ForexForex. He puts the ELITE in EliteTrader.

    Without him this site is just Trader.
     
    #14     Oct 30, 2011
  5. I second that... The (wo)man is a legend!
     
    #15     Oct 30, 2011
  6. froluis

    froluis

    Hi, I am trying to understand the concept of dispersion.

    Quote from Atticus: "You're best to tinker with OTM calls rather than eat the index skew on short dispersion (in puts)."

    Can Atticus or somebody clarify/explain the above quote. Does that mean that it is better to be short index call instead of long index put on short dispersion?

    Thanks in advance
     
    #16     Nov 12, 2011