Yes, using Black-Scholes (flat-vol), it will come out to around ~3500% or so on average. You have to account for the skew as well which should add more to the return.
PLEASE CAN YOU EXPLAIN A BIT MORE ?
OR WHAT BOOKS OR WEBSITES CAN I LEARN THAT FROM ???
what i think i understand is that there is a certain sweet spot in vega covexity for certain OTM strikes for a given tenor.
you gave specific exemple of 950 strike for 6 months + skew, when we were at cca 2000 on spx,
and that together should give up to 100x payout in case of 50% downside within the expiry time,
right ?
so what i can read from that,
is that for 6months exp. & put strike that is a little more than expected crash,
given put can grow 1000s of % with the probable heightened volatility packed into the premiums.
right ?
BUT WHAT I CANT READ or understand from it:
1./
how does the vega convexity sweet spot move up or down on the strike dimension
(how fast and how much)
with increased/decreased sigma of the crash ?
lets say instead of -50% that i will take as the middle value,
to lets say -30% and -70% crash in the same time frame ?
2./
AND ALSO, the second part to get a grip of how it works more intuitively:
if i keep the expected crash level at 50%,
BUT move the time frame from 6 months over and under, i.e.:
to 3 months and also 1year(or 2 years),
then HOW WOULD THE VEGA CONVEX. SWEET SPOT ON THE STRIKE MOVE ACCORDINGLY ???
i think if you give me these 2 or help me to understand how to understand them,
i can do my homework and try to count some specific exemples for some expected scenarios.
then you check if and what i understood or not...?
thank you very much !!!)))