8
$\begingroup$

VXX is an etf that tracks 30-day constant maturity vix futures. Despite the popularity of the ETF and lots of Google searches I could not find any info on how options on this would be priced. I know it decays about 10% a month due to contango of the first 2 months volatility. So how would the no arbitrage condition work in the case of negative drift and 0% interest rates. Would this require a small tweak to the Black Scholes formula.

$\endgroup$
3
  • 1
    $\begingroup$ For accurate pricing you would need something quite different from Black Scholes and as far as I know it is still an open research area. Perhaps someone more knowledgeable will tell us the current state of the art. $\endgroup$ – Alex C Jan 7 '18 at 16:00
  • 1
    $\begingroup$ If the options are not exotic, it may be simpler than you think. Back in 2007, for exchange options on VIX futures, traders just slapped a skew on Black-Scholes. With wide enough spreads it was fine. $\endgroup$ – Brian B Jan 8 '18 at 2:56
  • $\begingroup$ @AlexC BlackScholes is not a pricing model, it's just a mapping of prices to vols. Of course you can build a vol surface for VXX options. $\endgroup$ – will Sep 29 '18 at 10:28
1
$\begingroup$

no arbitrage works the same way for VXX options or IBM options. You use the risk free rate to price options.

if you price them using the observed drift (here decay due to contango), you are simply doing a "prop" type of strategy that accepts to hold the risk of curve reversal (on a negative surprise even the curve can get quickly into backwardation). The sharpe may look nice but your strategy will have fat tails in the distribution of its returns.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

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