Lets talk variance

Assuming fat tailed/heavy tail distribution, generally speaking, it can. Depends what we’re looking at. And What we define as black swan etc. sometimes a black swan event is when everyone is predicting a tail event to happen and pricing it as if it will, and none does.

I’d like to add a side point just for sake of spreading more knowledge with respect to black swans. Black swan is subjective, not objective

A turkey slaughtered on thanksgiving; it’s a black swan event to the turkey... but not a black swan event to the butcher

The turkey can look at its past data and assume tomorrow will be no different than the last 1,000 until alas, it’s on a thanksgiving dinner table

Edit: fun fact: not every tail event is a black swan event. COVID19 is not a black swan event. We knew and have known that epidemics have happened and can happen again. Therefore, it’s not something to be deemed a black swan. It certainly is a tail event.

Edit2: If you have a payoff space, and you cut the left tail off via defining your risk. You can expose yourself only to “positive” blank swans. So you benefit from such events. In this case, if we look at the underlying (let’s call it “x”), it can exhibit heavy tailed properties (left and right) but in our payoff space, via defining our risk, we can eliminate the downside effect of a tail event or black swan event by capping losses and taking it a step further by being long vol so we actually benefit from such surprises

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Thank you. I think I understand what you are saying.
 
Both tails to what distribution? It depends on what exactly are you talking about?

For example one could look at the distribution of the effect of government intervention on volatility. Plot the SPX returns then plot a running SPX 21d return distro, the effects of intervention also has tail risk on the left and right tail. The left is deflation, war, political revolutions... the right tail is inflation, currency devaluation, hyper asset bubbles.

When talking tails we are talking about the second moment to the second moment, gamma on gamma.

This is past skew, and kurtosis. Taleb was fascinated by the mispricings of OTM options. And Taleb was taking advantage of the farthest OTM shit ever. I'm pretty sure he made his fortune in eurodollars.

But tails can definitely occur on both left and right. But let's take a look at the structure of the market.

Spot is birthed at the IPO, and a price is determined instantly. Let's assume this price is $1/share. From here on out, this $1 really has no where to go but up, sky is the limit. Let's say this stock drifts up geometrically like a Brownian motion particle fluttering around and oscillating in intervals annually and years later is now at $222/share. Well the market floated from $1 all the way to $222 so the option markets traded all around ITM/ATM/OTM while this stock drifted up. Obviously more puts have been traded than calls. Why? Well idk really, but I'm thinking because calls are infinite and only trade as high as the stock will go, so all the puts/calls below have been traded, but all those OTM calls above 222 won't be traded as much, thus creating a structure. Puts trade more than calls, this is a fact. Does it mean anything? No.
If you look at the histogram of daily SPY change (1980-2005), it shows "fat tails" on both side:
upload_2020-4-2_16-54-44.png


Are both tails tradable was my question.

Taleb in his writing implied he took advantage of the left tails. I modeled SPY histograms from 1993-2019, the left tails are a lot more pronounced than the right, thus my question.

I don't know how to tie this to vol and variance because I only think in price space.
 
Edit: fun fact: not every tail event is a black swan event. COVID19 is not a black swan event. We knew and have known that epidemics have happened and can happen again. Therefore, it’s not something to be deemed a black swan. It certainly is a tail event.

Very true...

it’s the unknown unknowns we gotta worry about.

even tho we can’t lol
 
If you look at the histogram of daily SPY change (1980-2005), it shows "fat tails" on both side:
View attachment 223874

Are both tails tradable was my question.

Taleb in his writing implied he took advantage of the left tails. I modeled SPY histograms from 1993-2019, the left tails are a lot more pronounced than the right, thus my question.

I don't know how to tie this to vol and variance because I only think in price space.

iron, not only do you see fat tails..

the MAJORITY of the markets down moves are from the left tail, and vice versa for the right tail.

pretty crazy when you think about that.
 
Very true...

it’s the unknown unknowns we gotta worry about.

even tho we can’t lol

we just need to acknowledge that there are things unknowable and hedge ourselves (clip the left tail off); can be done a few ways
 
If you look at the histogram of daily SPY change (1980-2005), it shows "fat tails" on both side:
View attachment 223874

Are both tails tradable was my question.

Taleb in his writing implied he took advantage of the left tails. I modeled SPY histograms from 1993-2019, the left tails are a lot more pronounced than the right, thus my question.

I don't know how to tie this to vol and variance because I only think in price space.

1. Both tradable
2. Because of the skew
3. Let’s focus on our payoff space and simply make that, at the least, robust to tail events(surviving) or take it one step further and become antifragile to tail events (thus surviving and gaining from the event itself).

people spend a lot of time on x versus f(x)

https://www.elitetrader.com/et/threads/the-fallacy-of-forecasting.336260/
 
:thumbsup::thumbsup::thumbsup:. I always wonder why someone like you, @Same Lazy Element, @Kevin Schmit, @taowave... spend time on ET helping us retails? But we sincerely thank all of you.

The most important concept I learned from @MrScalper. :)

need not draw a line in the sand and put these users you've mentioned above on one side and yourself and retail on the other. we're in this together. all those guys im sure have had large losses like myself and humbling experiences; its the post traumatic growth experience where the knowledge develops, if you allow it to. And one must nourish that process and allow it to happen, but closed-mindedness, stubbornness, ego, and arrogance kills it. We're all just humans, and to be human is to be prone to be fooled by randomness.

plus, idk the distinction between retail and professional. As long as your P/L is positive over time........ that’s the only thing that really matters, isn’t it
 
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