Pricing leveraged-ETF options

Discussion in 'Options' started by cttfs, Nov 13, 2018.

  1. Sig

    Sig

    I was envisioning a market that you would access through your broker in the same manner as you access the stock/option market now.
     
    #11     Nov 15, 2018
  2. tommcginnis

    tommcginnis

    I getcha. {head nodding...} But the immediate broker would always have the advantage of having already undertaken 99%-100% of the necessary paperwork "transaction costs"... And in the end, those costs would be paid twice, essentially -- eating into user benefits and into provider costs. ("Provider" being the new guy, not your existing broker, who has to undertake those costs regardless.)

    I dunno. It remains an interesting question, I guess.
     
    #12     Nov 15, 2018
  3. cttfs

    cttfs

    Getting back to the initial question... I am building a spreadsheet as per your suggestion, to calculate SPXU (-3x SPX) theoretical values from SPX. I'm not getting it right. Do you mind telling me if these basic inputs are reasonable?

    I am first calculating the IV on the SPX chain...

    1) Using a single risk free rate for the chain. Is 2.19% reasonable? (for today)

    2) Using a single constant dividend rate for the chain. I assume I should be plugging in dividends even though they are not paid on SPX, because the index pricing will reflect it. So I stole the rate from SPY, which was 1.83% for the last year. That reasonable?

    Then I apply the SPX IVs to the SPXU strikes...

    3) SPXU actually paid out $0.47 in dividends over the last year (1.25% annually). Should I just plug that into the option model? Or should I also somehow add the dividends of SPX which it tracks? Or 3x those dividends??

    4) For the cost to borrow, I am using the IB "fee rate" of 5.426%. They also specify a "rebate rate" of -3.236% (see attached screenshot) which I guess is the actual amount charged to a borrower after the 2.19% interest received on short proceeds. But I am thinking the option model will already account for that 2.19%, so I should plug in the 5.426%. Am I way off here?

    5) I am plugging in the 5.426% by simply adding it to the annual dividend rate.

    I fear I may be messing up something basic, so I'd really appreciate if you could chime in on these. I can also post a pic of the spreadsheet, but should probably get these out of the way first.

    Thank you!
     
    #13     Nov 16, 2018
  4. sle

    sle

    My suggestions (the following might contain some random letters as I am significantly high at the moment):

    (a) instead of using spot + div/borrow, use the implied forward for both SPX and SPXU. For each strike find (call-put) and then find the two strikes straddling the zero value of that. Use the distance from each strike to find the exact forward.

    (b) SPXU does not drop with divs - it's forward is pure excess return (do you want a proof for that?) since it's a rebalancing index and all of it's forward drop is due to implied borrow. But it does not matter since you are using an implied forward as per my suggestion in (a) :D

    (c) Now you can find the implied vol for SPX using Black76 formula (as opposed to a regular BS), use opposite delta correction in case your quotes are snapped at different forward. Multiply that vol by 3X et voilĂ , you have a very reasonable approximation of the leveraged ETF skew.

    (d) Once you're done, you can go home and light a spliff (that's what I did).
     
    #14     Nov 16, 2018