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What Is a Gamma Squeeze in the Context of Stock Trading? (swfinstitute.org)
151 points by carminefalconi1 on Jan 11, 2021 | hide | past | favorite | 138 comments


For those thinking about jumping into options be warned. These are the top 3 ways ppl make money (or lose money):

1) buying cheap far out of money, near expiry naked puts or calls (gambling)

2) selling cheap far out of money, near expiry puts or calls (taking out a loan from the mob to pay yourself a salary)

3) a combination of the above but with varying expiration date and strike price (limited risk, low payout, essentially grinding)

Different market conditions have different strategies, you can make money in any type of market whether it trades flat, bull or bear.

Probably the most popular method is people selling essentially insurance to gamblers from #1. There's just no way that the market can crash overnight right?

You have to be lucky every time and the market needs to be lucky only once to end your trading career.

Looking back, I think buying stocks or index is really best for passive investors. If you want to spend a lot of time learning and trading options its going to become a full time gig.


There's also wheeling, selling calls, etc.

I think the problem with a lot of these is that you can think about how the strategy might work for a couple minutes. Then you think it must be a good strategy, because it's complicated to you. This is a very common fallacy I've noticed reading about "options strategies" by extreme amateurs: because the options strategy is complicated, I am smart for understanding it (at a basic level) and thus it must be a good strategy. They don't hold up to scrutiny:

"I'll just sell 10% OTM weekly calls on this stock until I get assigned, then I'll sell OTM puts until I get assigned again." -> You can lose money selling puts. Pays less than investing in the S&P 500 unless you pick a stock with high volatility, which is more likely to hit. No free lunch.

"I'll sell covered calls on SPY and if they get close to expiring ITM, I will buy back the options and start over" -> If you backtested this, it performs worse than holding SPY. You won't backtest this though, and feel smart for spending so much thought on a losing strategy.

"I'll enter some hideously complex, multi-leg position. Because it's complex, and I'm smart for understanding it, it must be good." -> No.

"I found an arbitrage opportunity." -> If you're not using computers, 99.99% chance you didn't. If you did, it's probably very small. Or it's due to some misunderstanding like the fact that American options can get exercised early.


> This is a very common fallacy I've noticed reading about "options strategies" by extreme amateurs: because the options strategy is complicated, I am smart for understanding it (at a basic level) and thus it must be a good strategy. They don't hold up to scrutiny

THIS. so much this.

I admit I fell into this trap after reading about iron condors. "I can print money now from home" I thought, "omg I am so smart creating these exotic positions".


> Then you think it must be a good strategy, because it's complicated to you. This is a very common fallacy.

Exactly this.

A friend of mine (PhD, smart guy, excellent programmer) called me for advice and his argument was - I am smart so surely I will find some unique opportunity in the markets.

And my answer - You don't believe but there are hundreds of thousands smarter people with deeper pockets...

Be humble...


> You don't believe but there are hundreds of thousands smarter people with deeper pockets...

Even if he is much smarter than all the quants at Goldman, they do this for sixty hours a week in a context where time matters a lot. That was the

I will say that the efficient market hypothesis is probably overrated when it comes to an area where you have expertise; I used to make a bit higher than SPY or the Nasdaq by trading tech stocks on big movements (which are often insane), without using any insider info[1]. But the delta just wasn't worth having to spend my mornings looking at the markets so I didn't miss any trades, and I liked my day job a lot more.


The market is not as efficient as you think. There is a lot of money to be made in options, but no one wants to give you free alpha. The market like any other system can be reversed engineered. I'll give you a hint, learn how the VIX is calculated.

Also if you believe just buying the S&P 500 is going to be most profitable, then why not buy deep ITM calls on SPY. You'd at least 2x your exposure at the same cost.


> why not

Because time. Options expire, shares don't. When you own shares, time is your friend — if the market goes down and you still believe your thesis holds, just wait. When you own options, time is your enemy. Should anything happen at just the wrong time, you have no choice but to take a hit.


Even mathematicians whose favourite topic is mathematical illiteracy can fall into the trap.

"A Mathematician Plays the Stock Market" by https://en.wikipedia.org/wiki/John_Allen_Paulos#Bibliography


Reminds me a bit about what was said about ingenious composer Dmitri Shostakovich: He was a brilliant poker player, and lost every time.


Selling puts on a reputable stock is a great way to enter a position though. Anecdotally it has worked for me. But am I stupid or naive? Genuine question.


If the alternative was going to be buy and hold on the same underlying anyway it’s a perfectly ok strategy, certainly not a stupid one. Worst case is you get assigned a stock you wanted to own anyway, but at a discount to the original face value + you’re paid to do it.

Actual worst case is the underlying pops and you “only” get the premium you collected and not the full upside.

So definitely not a profit maximising strategy but still a reasonable one. Especially if the market/underlying are generally moving sideways.


but when you sell options you are betting that the stock won't move towards the direction described in the option because if it does you are going to be margin called by your broker.

I don't know exactly how it happened but someone on wallstreetbets a while ago said he woke up to find he was -250% and asking what to do. I assume he wrote bunch of options which ran against him.

It's disturbing because I talked to this kid literally a week before I told him I blew up my account buying far OTM puts (I was right about the price but SEC froze the stocks far past the expiry).


This is an over simplification and generalization of what the underlying motivations might be.

I will semi-regularly sell puts with a reasonable expectation of being assigned. It is in effect the same as putting a limit order in, with the upside of getting paid for doing it.


If you have enough cash + leverage to buy the underlying on the puts you won't get margin called, you'll get assigned.


There are two failure modes of this strategy.

1. New information comes to light, the stock crashes, and you realize you were wrong and the stock is a dog. You no longer want to own it at the strike price. Oops. You effectively bought it above your updated estimate of its worth.

2. The stock keeps rising and rising, you collect the option premium but you could have made a lot more money if you just bought the damn thing outright.

These are more subtle failures than the usual "Oh my God, I blew up my account!" but they're real.

It's perfectly fine to keep doing what you're doing if you're comfortable with this risk. There is no strategy without a downside.


here's the thing you simply don't know when CNBC will start shitting on it and then cause a dip that would put you in the red. So you could be eating for 200 days and then blow up your account and this does seem to happen to traders.

but I am thinking what if you were writing LEAPS. We've been in the longest bull run in history since 2009, so you could've made a lot of money selling LEAPS until maybe 2020 where you would blow up your account and end up owing more than your balance.

Also another area that I could never find an answer on: i was told most traders never excersie their options. so if you sell puts and they never exercise you don't have to deliver the stocks right? you just end up paying what the options market price is on the day the reputable stock dips?


> i was told most traders never excersie their options

What you were actually told was probably that most options expire worthless.


How do you feel about covered calls? From a risk perspective they are equivalent positions, limited upside and big downside risk.


They are not equivalent positions. Selling covered calls has unlimited loss potential.


Do you mean selling uncovered calls? With a covered call your potential profit is capped, but you aren't exposed to the infinite risk of buying the stock (since you already own it) at a bananas price if it exceeds your strike.

Selling covered calls can be a fine substitute for limit sells if used carefully. Assuming one is comfortable selling at the strike price, the covered call trickles a little profit in the meantime.


What do you think of iron condors?


Part of the problem with options trading is that (to the unininformed retail investor) your position can sometimes look profitable/good until all of a sudden it isn’t.

One of the most common I’ve heard from regretful friends is a variation on your scenario #1 where they buy a deep OTM call a few weeks out right after a recent pop in the underlying. Maybe the rally continues a bit, underlying goes up in price, they’re clapping themselves on the back. A few weeks pass and the price has gone up a bit more, but the options position is already blown up.

“I don’t get it... the stock price went up and everything but I still lost all my money on options.”

Worse still, due to the leverage offered by options, the losses can sometimes be real bad.


I blame r/wallstreetbets and Robinhood.

They've figured out a way to get people who shouldn't be trading options to gamble online.


In the scenarios painted here and by the parent (buying puts or calls), the losses are capped at whatever was outlaid in premium. The leverage is entirely expose to the upside potential.


I think he means that deep OTM is cheaper and you can buy more of it compared to what you would with ITM or near strike options.

So yes if you think Tesla is going to be $1000 in a few weeks and it moves towards that direction but not enough to make up for other greeks, IV, theta, etc, then yeah it could happen.


After a very lucrative exit I was looking at options chains and saw that I could make six figures every month, selling monthly expiring options that were far OTM enough to make me feel like I wasn't crazy.

However, even then, it's not even close to being my best option because the tail risk, however small, is there — and when things come down to the wire I'm going to get ulcers, win or lose.

Albeit, if you actually do want to sell or buy at market price (and are patient about it), you can use option premiums to get just a little bit more money for something you were already going to do (the goal being to get assigned, on purpose).


> After a very lucrative exit I was looking at options chains and saw that I could make six figures every month, selling monthly expiring options that were far OTM enough to make me feel like I wasn't crazy.

That's the classic picking up pennies in front of a steamroller trade. You'll make $100k a month for a few years and then one day you will lose $10m in a single day.


let me take a guess you can tell me if I'm warm or cold.

assuming you risk 10% on your broker's account with 90% tied up in fixed income or t-bills or stocks.

assuming you stand to make 100,000 USD per month selling far OTM options presumably on indices or blue chips.

you are worth $10 million and above.


If he’s feeling that much stress he’s probably risking more than just 10%.


That's right! It'd be more like 50% (of my N.W.) risked. Haven't had time or motivation to move assets anywhere so 90% of my money is in taxable brokerage.


wait so you keep most of your money on something like Interactive Brokers???

I guess when they give you better rates than any retail banks this makes sense....

but I'd feel nervous even with 2FA.


It's not actually money, it's securities. I use Schwab.

With cash, I prefer to put it in Marcus, but their rates have really gone down so much I need to look into private banking.


Selling covered calls is a widely used strategy, especially when the underlying doesn't give dividends. There's nothing wrong with it. As for the tail risk, that's what buying options is for. Look at the rest of the options chain and use your imagination.


That's true — there are ways to cap the loss. I haven't played around with this market enough to have good intuition about that sort of thing, but maybe I'll use the simulator in the ToS platform to see how I'd do.


As an option seller, what really really sucks is earning "only 20%" in a year when just holding the same stocks/indices would have yielded 80%. Basically, you can only earn the premium -- you have all the downside and a tiny portion of the upside, just consistently.


but isn't it fun knowing pocketing premiums on a consistent basis? Like most of your trades are winners, you don't have to worry about directions much.

for me trying to determine the timing AND the price target was stressful as hell. Like every morning my heart would beat rushing downstairs to check my tendies.

in the end what screwed me was the SEC. There is just no way to predict how long a stock will be halted. I also learned that in a class action lawsuit, option traders are pretty much unable to recoup their money in a fraudulent company (although I do appreciate the SEC sending me the letters, the rule of law is taken very seriously, scammers almost always see the inside of a jail).


Correct - The primary benefit is Consistency, but I often wonder if something with 1% chance of going to zero can be considered consistent.


Why would you be selling options on companies with a 1% chance of going to zero? There are much more stable companies out there.


The company doesnt have to go to zero, but your options account equity can easily do that. Even options on very safe things like, say, MSFT/GOOG/AMZN/SPY/BAC/VZ/etc can lead your account down to zero, and it mostly depends on how leveraged you are.

Suppose you sold puts on Verizon at 55. You are on the hook to buy Verizon at 55. If you have 5500 in equity, you're fine. You get the stock and hold it, perhaps wheel it.

But if all you do with $5500 in account equity is sell a single put contract, you wont make much money. So most people sell more than they have equity to support. So perhaps you sell three Verizon contracts. Your $5500 in account equity is now on the hook for 3*$5500. If Verizon stock goes down to 36, you are wiped out.

Oh, and all this while, you arent capturing any of the Verizon upside either! You only get the premium.


Oh right. i would say that's more function of messing with leverage than it is selling options.


Assume one buys with the intent of selling well before expiry, is there much of a difference between buying relatively fewer deep in the money options vs buying relatively more cheaper out of the money options?

I've always thought buying deep ITM was more like holding leveraged stock and nice for that conceptual reason, but what's the advantage/disadvantage of buying OTM options (in contrast to ITM)?


> is there much of a difference between buying relatively fewer deep in the money options vs buying relatively more cheaper out of the money options?

From a strategy/risk management perspective, for sure.

Upsides with deep ITM calls is you'll pay less of a time premium and mitigate some effects from volatility. It can also be a "cheap" means for covered calls.

As for downsides - larger upfront risk as well much less liquidity / greater chances of an order not being filled.

Buying many OTM calls can be more or less a gamble.


> less liquidity

THIS. THIS. THIS.

I remember calling Interactive Brokers panicking because I couldn't dump my position since there was no counter party at the deep OTM strike.


as the distance from the current market price increases, the rule of thumb is that it becomes cheaper because the probability of hitting that strike is a lot lower supposedly.

I've read money managers use far OTM options to hedge against a potential shock (high confidence in bad earnings) but you also stand to lose your premium.

Nassim Taleb, Black Swan author, runs a fund that consistently buys far OTM options. They lose money most of the time until that one time where they strike it big. As he describes in "Random Walk in Wallstreet", he cleaned up his desk on the trading floor on Black Monday when his far OTM puts he bought for pennies on the dollar turned into double digit million figure. This is how he made his FU money and has been the subject of emulation by amateurs and professionals alike.

But then you look at people like Jim Chanos who shorted Enron successfully but have not been able to crush Tesla. Had he used options, he would've not only saved a lot of capital, he would still have his skin left in the game.

Not sure I undrestand your second question but I assume you mean near strike OTM vs deep OTM. You have to pay a premium for near strike options or if its in the money.


Sorry that was a typo, I meant OTM vs ITM

So basically you're saying that you can "leverage" more with OTM than ITM?


yeah so if your options are ITM then your stock doesn't need to move that much to profit but the downside is its very expensive.

OTM is cheaper but much more riskier because your stock has to travel further.

No you would leverage more with OTM because you can buy a lot more OTM with the money you spend on ITM.

This is a gross generalization, when I say "riskier" it is purely from an academic point of view. In reality there are so many other factors at play, fundamentals, theta, delta, vega, etc. I can't really explain it because I don't understand their exact relationships but in general when you have an option position the clock is against you and so many other factors that has to go right.

It's like in Casino Royale when that Marilyn Mason look-alike invests African warlords money on an airline company on far OTM near expiry options and then launching an attack in the airport.

The SEC has a safeguard against these things. If you have large far OTM options near expiry and the stock dips the next day, expect a visit from the SEC or FBI.


> OTM is cheaper but much more riskier because your stock has to travel further.

This answers my question, thank you. The piece I was missing was the difference in the amount OTM vs ITM needs to move, thanks


Breakeven = strike price + premium paid


> You have to be lucky every time and the market needs to be lucky only once to end your trading career

It's not for everyone. But with proper risk management and mindset, it's not a casino either.

Common sense rules: Only play with risk capital (what you can afford to lose). Don't go all in WSB style, that's the surest way to blow up your account. Don't FOMO chase, wait for the right setups, look at support and resistance levels. Take profit incrementally. Use stop loss. etc, etc.


Selling would be naked not buying


The collective power of massive retail options trading (powered by zero-commission brokers like RH) organized by groups such as WSB actually has the power to affect the markets.

I'm guilty of taking advantage of this myself, as there are often plays (Tesla, Gamestop etc) where the conditions are often perfect for such a squeeze. WSB prides itself on buying ridiculously OTM weeklies and losing money, except this time there's enough collective power to force market makers into buying the underlying and "mooning" is inevitable. Case and point, I bought the furthest OTM TSLA 1/15 calls last Thursday and sold on Friday for nearly 1100% returns.

Market conditions right now are enabling boundless opportunity. It's best to take advantage, before the SEC steps in and puts restrictions on retail options trading. "Make hay while the sun shines"


Wow, buying the bets just before the gamblers do is... not a bad thought, even if it is obviously still risky.


Reading his post reminds me of the fund manager who said he sold all his positions back in 2000 when he found his grandma was buying stocks.


This makes sense, but how do you assess what WSB is going to do? For every post, there's another calling on the inverse, and a third calling on inversing the second.


Ex derivs trader here. If you want to understand this, here's a short explanation.

1. Options have asymmetric payoff. One way you win, the other way you don't lose, assuming you are the buyer. The opposite is true for the seller.

2. Because of the asymmetry, movement is positive for the owner. So the option is priced based on how much movement is expected. There's a distinction here between vega and gamma, which are both movement related. Vega is sensitivity to the appraised future volatility, which means the option has more of that if it's long dated. Gamma is (2nd deriv) sensitivity to movement in the current price, so you'll have more of that if you're near the expiry.

3. As an options market maker, you are not in it to guess which way the underlying stock goes, you are in it to gain an edge in pricing that movement risk. So you hedge it when you trade an option with someone. If you buy a call, you sell some underlying so that your delta is flat. (Delta is just the 1st order price sensitivity)

4. If you flattened your delta, you can imagine the gamma making your local PnL vs price a parabola. If you are long the option you'll make money when the price moves either way, and you'll be needing to buy low and sell high to get back to flat delta. (Incidentally this is also why we don't really care whether it was literally a put or a call, as in the right to buy or sell. The 2nd order is the same, so has the same effect on your PnL when the price moves.)

5. The opposite is a less nice position to be in. The more the price moves, the more wrong your position is. In fact, the more it runs away, the more you have to push it the wrong way, because you'll be selling into a falling market or buying a rising one.

6. Natural question is, why would anyone ever be short gamma then? Well, you're going to charge people for their gamma, and if things turn out right you'll have charged them more than it's worth in terms of potential movement that they can buy low and sell high on.

7. So what happens with squeezes? Well sometimes that gamma gets so out of hand, there's some player with a huge wrong position squirming to flatten his position, but he is pushing it further and further away with each trade. Note that near expiry, a lot of things get hairy. You can imagine the gamma gets really spiky near the strike, because the time value is coming out of the price, and so you have a discontinuity at that corner. Also with binaries, knock-outs, and other simple non-vanilla options, you get some weirdness that can momentarily cause some large sensitivities. I've seen more than a few days where someone is defending some level and the price action looks odd.

8. Isn't the pressure the opposite for someone else somewhere? Technically yes, but often incentives are not the same for different agents. Different players have different risk tolerances, and they have different business models. For instance if someone has taken a load of options and shoved them into a structured product, maybe they're not quite as worried about hedging it as someone who doesn't have that customer flow. Or someone just has some cash to take a punt on the option, and they don't care if it expires worthles. Remember it's not just the two people who traded the option, there's the market in the underlying as well. Interestingly that means you can trade an option with me and we can both make money.


On your points:

1/ Vega is sensitivity of option price to change in level of implied volatility. Appraised is an unusual word choice.

You'll have more gamma if the asset price is near the strike price of the option. But gamma can actually be lower near expiration for the same strike if its fairly out of the money - gamma will only be higher for at/near the money options.

6/ Market makers buy and sell volatility and outside of retail, prices are usually quoted in vol terms. That's not to say that professionals can't do some crazy things trying to hedge risk, including theta (time) and rho (interest rates) but the original trade is a vol trade first and foremost.

My slightly different explanation: Delta is the 1st deriv change in price of the option wrt the value of the underlying asset. Gamma is the 2nd deriv, ie the rate of change of delta. As expiration approaches, gamma gets very like a dirac delta function, centered at the strike price. Easy to understand - moments before expiration a call option value is either worthless or exactly (Underlying - Strike price) Thus a delta of either 0 or 1 (-1 if you are short) with gamma equal to delta.

As the original poster explained, traders hedge by buying or selling the delta amount of the underlying (if delta is 0.5, you do 50% of your notional contract size). As the underlying moves, the short trader needs to buy when the underlying rises (his negative delta is increasing) or sell when it falls (his delta is decreasing so less hedge needed) to maintain a 'neutral' position wrt to small changes in the price of the underlying.

Recall, gamma is the rate of change of the delta and so determines how much the hedge needs to change. On day of expiration at the money strikes have very high gamma and thus subject the short option trader to large whipsaw risk - the need to add or remove a hedge aproaching 100% while chasing the underlying. The art is really in deciding when to hedge on/hedge off and how much, regardless of the formulaic delta and gamma values at the current underlying price.


You're right about the gamma of course, if you're not near the strike you're not near the interesting area of the curve.

As for "appraised" that's an invention of mine to explain the difference between actual movement and guessed movement. When the market is moving up and down you will realize some amount of PnL regardless of what you paid for it. But you have to pay something for it, and that's the appraisal of the market for whatever period in the future your option covers. It's like pricing a swap, that floating leg will be some number that you'll receive, but you pay some guess about what it's going to be over the period. The thing about that is you probably have more certainty in the near term than the long term, and there's a term structure coming out of that.

About quoting in vol terms, I found people mostly do that in FX and fixed income. In equities it seemed to be prices. There's calculators for everything anyway, so you can easily swap between them.


I have a few burning questions for either you or beezle if either of you don't mind:

1) Are options market makers mostly long or short gamma, and does this tendency differ if we're talking about puts versus calls? I know this can all vary over time, but I'm wondering if there's any systematic tendencies here, especially pertaining to index options.

2) Do you think gamma hedging drives a significant percent of volume in index futures (say 5% or more), or is it just a trivial %?

3) What would be a good way to estimate/approximate the gamma exposure of options market makers if we wanted to predict gamma squeezes, and we've only got public market data (e.g. trades and open interest)? SqueezeMetrics advocates using open interest but I'm wondering if there's a better way to do this.

4) Compared to delta & gamma hedging, do any of the other greeks (e.g. vanna) drive a significant percentage of volume in in the underlying in certain contexts, or are they mostly a side show?


1) Good question. There's a tendency for implied vols to be higher than realised, so you'll tend to lose money holding options. This is a central element in Taleb's Black Swan stuff. The people he was talking about were people like me, and I actually met him in the office for a chat about options stuff once. Basically if you're incentivized to be short gamma, some traders will act on that and blow up now and again.

2) I think so, firms I worked for threw around a fair few index futures to hedge. quantifying it isn't too easy though. A lot depends on how close you are to the strike and the expiry.

3) You can't avoid looking at open interest, but I guess you can weight it by the gamma.

4) Vanna is a cross greek of vol and price. The other missing piece is interest rates, and from that you can imagine a zoo of greeks. But mainly it's the connection between vol and price that matters, there's a slidey thing you use to move the volatility surface when the price moves.

I guess if I were you I'd scrape all the open interest info and see about the relative size of presumed gamma to liquidity in the market. It's a bit of an exercise.


Thanks, very informative stuff.

(1) and (3): If we're to use open interest (along with the gamma of such open interest), it seems that we have to make specific assumptions about whether options' market makers are going to be net short/long, and by how much, in each specific contract, in order to perform the calculations. What such assumptions do you think that we should use for that, and I wonder if there's a way to make it more accurate than simply assuming "100% of this open interest in this specific put is held short by options market makers"? That seems to be the assumption made in [1], which is definitely very incorrect but maybe it's the best we can do?

(4) So I guess flow that results from vanna hedging (and the other greeks aside from delta/gamma) is pretty small then. A number of people on Twitter make a big deal out of vanna hedging - they seem to think it can predict moves in the underlying, but they must be mistaken if not much flow comes from it as a result.

[1] https://squeezemetrics.com/download/white_paper.pdf


I didn't mean to suggest that vanna isn't important, it's just part of the same mix of things to think about when prices/vols/rates move. Somehow it never came up much in conversation by that name, but it was a thing to think about.

The squeezemetrics people seem to have quantified it, it's actually quite impressive. The GEX and VEX thing seems to be what you are alluding to, and they seem to have crunched the numbers.

Browsing the papers it seems they assume that the customers are selling the calls and buying the puts? I think it makes sense, it's more sensible than saying all the open interest is one way on the market makers.


3) I agree OI is going to be the goto but I'd caution to have a good feel for the underlying and market participants. It is not just market makers that sell calls - covered writes are a popular strategy by investors to pick up income. Vertical spreads are used by some punters too.

Puts are where it is likely to be just market makers on the short side - lots of insurance buying but few nakeds or covered shorts.


Regarding calls, do you have suggestions on how to figure out if the OI in some particular call is mostly market makers' short or investors' short?

I know you referenced "good feel for the underlying and market participants" in order to answer that question, but I'm wondering if there's a specific idea you could suggest regarding that to help narrow my focus?

> It is not just market makers that sell calls

Would you guess that market makers are, on average, net flat, net short, or net long calls?


I spent quite a bit of time in FX and some in fixed income as well, good pickup!


Thank you for both of your explanations. I was wondering for a while what gamma squeeze is, as it is a lot on the news lately. I learned a lot more from these two comments than from the article itself.


agreed this is a very interesting thread


I haven't seen so much information explained so briefly since Rudin, kudos!


Excellent and beautiful explanation.

I've been wondering if Elon's TSLA comp package was designed with this in mind. It really would be perfect SEC like move.


Thanks for taking the time to write this up!

As you're in the know, would love to see how you would contextualise your examples on GameStop (GME) this week which is all over r/wallstreetbets.

As a lurker it has been quite the case study to observe - the OI for calls and puts are absolutely insane. Is this normal? What would the option writer be thinking/doing? What would the option owners be thinking?

Allegedly one fund took out a single 50k deep ITM position in a put that could possibly even expire OTM. The tinfoilers believe this was an attempt to deliberately induce selling pressure via these gamma squeeze mechanics you've mentioned.

This world is deep, never would have realised so many layers were going on under just a stock price...


If the option is deep ITM it's basically the same as the underlying, it doesn't have the curvature to make everything interesting, and it is unlikely to expire OTM?


They were bought deep ITM, but there have been news catalysts that could bring them ATM/OTM. I think at one point the share price came quite close to the strike intraday.

The share is super volatile and can swing 15% in a day - how do option writers hedge in these situations?


Those puts are now deep OTM... Wow GME is up 70% today


So how exactly does the whale profit in the attack described in the article?

If you're a whale, sure you can make brokers squirm by throwing your money around to buy a ton of options, forcing said brokers to bid up the underlying price hedging their short calls.

But then (as the whale), while the price is high you'd want to close some part of your position and realize gains. This means you sell the underlying at the inflated price, and then re-buy it at the lower price by exercising your call options? Is that the strategy?


There's a cool anecdote about NZD options where the dude exercised out of the money options to force the market to buy up some huge proportion of NZDs in existence. Let me see if I can think of the details.


> Interestingly that means you can trade an option with me and we can both make money.

Can you explain this? Maybe I just need an example to understand how this works


I buy the option at strike 100 from you, and hedge it. Underlying goes up, I sell some, it then goes down, I buy some, I've enough made money on the hedge to cover your premium. Price goes back to 100.

You did nothing in the meantime, so you collected the premium on the expired option.

Note this system isn't closed, we have not accounted for where the money came from. The market makers in the underlying are out the amount of the hedge gains.


I guess this is what algorithmic trading looks like?

Is there a guide to all this sort of stuff? What do tell the newbies? It's really hard to find good information about trading of the enormous amount of spam out there.


I believe most algorithmic trading is considerably less sophisticated than this. This in particular is options trading, which is more complex than the trading of equities or debt.


Algorithmic just means using a computer to decide what to do, and often to execute the trades too. What I described can and was done by manual options traders.

As for a guide yes it's hard due to all the get rich quick adverts. Perhaps read Wilmott to get an overview of how things are priced.


To newbies? Buy the S&P 500, set up aoutoinvest and walk away. Options are something people with PhD's in stochastic calculus use to make money off of retail trade.


if i want to dive deeper into this, do you know any good books worth reading?


Very very good primer by Twitter user @squeezemetrics: https://squeezemetrics.com/download/The_Implied_Order_Book.p...

Thread of other resources on derivs: https://twitter.com/bennpeifert/status/1238823808946954241


If you want to see what he is talking about in terms of how delta and gamma are affected by time to expiration ("spikey"), you can take a look at the apps here: https://www.5minutefinance.org/concepts/the-greeks

The code is here: https://github.com/FinancialMarkets/5MinuteFinance/tree/mast...


Option Volatility and Pricing by Natenberg is extremely complete while managing to avoid drowning in maths, it is widely recommended and considered a classic. There are more informal books around that focus a little too much on trading/application rather than mechanics, and an endless supply of textbooks that'll either bore you to death, drown you in maths or both.


I would recommend Euan Sinclair's Volatility Trading. It provides enough mathematical vigor while focusing on intuition from a trader's perspective.


Create a free account on optionsalpha.com, watch all their free videos.


Thank you for this.


Do you have a guess as to what percentage of all volume is driven by hedging by options market makers?


Market makers are not only motivated by commissions.

Before making a price they will consider multiple factors, liquidity (of the underlying and the derivative) is an extremely important one. They likely will not carry a trade that is impossible to hedge (because the underlying is not liquid enough).


The reason not to trade something that cannot be hedged is because it is impossible to replicate. Of course if the future cash flows of the security are known in advance this point is moot, but for options the idea is that you can replicate the option position by holding a dynamic hedge (this is basically what the black-scholes pde says).


That's the theory, it's not my point.

My point is that a market maker will not carry an option position that is impossible to hedge due to the underlying liquidity. In other words, he will not carry a gamma position that is not "in line" with the liquidity of the underlying.

I may be wrong, but the article is about buying a lot of short dated (high gamma) call options from a market maker and hoping that he will drive the market up while hedging his position.


In effect, a game of chicken ;)


My impression is that most options are very illiquid, and I've gotten discouraged by the huge spreads. A few things have liquid options, but not interesting stuff. Just trying to buy and sell at the best available price seems very difficult when I see for example a bid/ask of $0/$5.


Couple things - most options trade a spread of 1-3% depending on how far from the money they are and how near expiration. Option interest also follows interest in the underlying.

In a less traded issue - I guaranty the real price is not $0/$5, it is just nobody has bothered to show interest yet (and sometimes brokers do not provide the true market). Assuming you have a reasonable idea of where the bid should be, low ball it a little and put an order in. Like magic, you'll be joined by a few hundred contracts and in fact, probably out bid. An offer may also appear too.


What are you trying to trade that has a bid of (near) $0 and ask of $5? Most stocks are generally way more liquid. Also you'll find you can get hit at/near the midpoint even when the bid/ask spread is large. (Which makes sense ... as long as you offer a price slightly worse than what the theoretical pricing model dictates ... why wouldn't the market makers want to trade against you?)


OTM, non penny program symbols is my guess.


Get closer to in the money. Also look up the penny program symbols. SPY is frequently a penny wide spread ($1 per contract).


A smart market maker will take the illiquid trade and charge astronomical amounts of bid/offer to compensate for his added risk. There's money to be made in large, chunky, dangerous positions. That's one of the advantages of a major investment bank; they can weather a few storms, profit handsomely on the positions that go in their favor, and net it all out as one profitable business unit.


> Delta is not a linear function, meaning it will not change proportionately with the stock price.

Someone please correct me: can't gamma (the second derivative) be a constant, implying delta (first derivative) is linear? Then the price itself changes quadratically.


No, because delta can't ever go below 0 or above 1, but it will be close to 0 for low prices (OTM options) and close to 1 for high prices (ITM options). So it'll always form a kind of S-curve.


Oh okay, makes sense. Can you share a resource where I can read up on this?


Natenberg wrote the classic tome on the subject (Option Volatility and Pricing) but the burned hand teaches best. Trade some options, lose some money, and you'll learn what to do and what not to do.


Delta for put options is typically below 0.


Sure, for put options it ranges between 0 and -1 for the same reasons, and the same argument holds for why gamma can't be constant.


Gamma can occasionally be constant for a single contract. It doesn't work out that way mathematically, but in practice it is the result of IV being spot dependent (spot up vol down, spot down vol up are two common phenomena) or reset lower due to a passing catalyst. This tends to be rare and localized, but it's important to think about charm vs speed if you trade weeklies around earnings because your true gamma will affect your decisions about how many shares to use to hedge delta. Let's look at an example. Say that you're long an OTM call into earnings, around 40d. The earnings reaction is muted compared to expectations, amounting to a small gain. You're now closer to your strike but still OTM, and IV has reset lower due to the catalyst having passed. In this case it's entirely possible that the speed of your gamma was counteracted by the charm of the passing catalyst (event theta), leaving you with delta that corresponds to what your first-order gamma would have indicated. Aka constant gamma for that particular contract in that specific event.


Yeah that part wasn't worded very well.

The process is nonlinear, necessitating a quadratic taylor expansion, at least.


Is this gamma squeeze what's happening to TWTR today? It looked like options were buoying it up after a massive dive on opening. If that's the game, it gives everyone more time to get short past this news cycle.


This may dissapoint you but, with very few exceptions, most of the time nobody knows why a stock is going one way or another on any given day.

Unless there's some significant news or M&A deal that you can tie to price action (and even then, you're most likely explaining only part of the price movement), you won't know why a price is moving.

There is a whole industry of people adding post-hoc rationalizations to price movements (e.g. CNBC, stock gurus and others). They do it because 1. what they say is not falsifiable in any way and 2. people find idle speculation about money to be exciting.


My favorite so far has been

> The RSI is trading above 70. This could mean that either the stock is in a lasting uptrend or just overbought and that therefore a correction could shape (look for bearish divergence in this case).

The price might go up if it doesn’t go down? Thanks, very helpful.


There's concrete predictions laced in there, in the vocabulary of TA, or technical analysis. The self-aware who practice this call it 'horoscopes with funny lines', the premise is drawing trend lines based on different sets of historical data, using that to draw a conclusion about pricing over some time period X, then noting the consequences of the trend line shifting up or down.

So, they're predicting both sides of movement because they're interested in the slope of the trendline dividing those sides and the time-frames they're analyzing, not the sides themselves.

One example that clarified it for me is a purely degenerate case, the stock went from 1 to 0 over all possible timeframes. In that case, all trendlines are purely vertical, all trendlines are the same for all timeframes, so the fact it can only move up is obvious, and contrasting trendliness is uninteresting.

However, in other cases, (say, a small medical research company that has been on the market for a decade but recently produced the singular vaccine for a massive pandemic, but has an expensive and novel manufacturing process that makes it 5x the cost of competitors possible solutions), contrasting trendlines for the last two months versus last decade is very informative for comparing the case in which the vaccine market becomes competitive, versus the monopoly it "is" today.

Noting the signal we'll receive about the 'class' of price movement, based on both directions the price could move, is very helpful and necessary for judging the TA after the time period plays out.


people take comfort in some kind of explanation for the cause of something. It's a bit bizarre, but makes sense. We just sort of accept it because as mentioned above, it's not falsifiable.

I think it's right to point out "on any given day". On broader time horizons you can easily figure out why prices move and you can bet on it much easier.


No, a gamma squeeze works in the opposite way.

The retail investor gets long an option (let's say a put), and the dealer gets short that option. As the price goes down, the retail investor gets shorter (higher chance his put finishes in the money), whereas the dealer gets longer.

In general, retail investors don't hedge, whereas dealers do. As the stock price goes down, the dealer needs to sell stock to hedge and avoid getting net long the stock. Thus a gamma squeeze tends to exacerbate rather than mollify volatility.


Not exactly. It depends how the market is positioned. Right now put/call ratios are very low meaning the market is long upside gamma, so when stocks fall, convexity means that market makers hedging decelerates as the market falls, but accelerates as it mean reverts.

This gives rise to a phenomenon known as pinning where stocks prices tend to oscillate around strikes with high OI and thus high convexity.


Would you mind explaining the market dynamics in more detail? My understanding is that the positive gamma causes long market makers to put pressure on prices to mean revert, but I don't quite grok the rest of the dynamics.


Well, it's negative gamma from the MM's perspective (this is ultimately what they're being paid to provide in a purely Black-Scholes sense). It's less about whether gamma is positive or negative because that just depends on which side of the trade you're looking at.

The simple reason is that like delta, gamma is also not constant. Gamma is our derivative of delta with respect to underlying, but there exists another measure called speed which is the derivative of gamma with respect to underlying (gamma of gamma). This is normally distributed around the strike price of the option, so as you deviate from the strike, the gamma of an option decreases which means that MM hedging decelerates as you move away from the strike. It also means that MM hedging accelerates as you approach the strike. Convexity cuts both ways.

Let's say a MM is short a $100 call in some asset X. When we are below $100, any move towards $100 means we have to buy increasing amounts of X in order to remain delta neutral. This pushes prices towards $100. But as we move through $100 this force decelerates. So let's presume that market momentum takes us to $110, at this point, a $1 drop to $109 results in more selling than an increase to $111 results in buying. These forces can become self fulfilling whereby the selling that we have to do when we drop from $110 to $109 contributes to downward pressure and pushes us to $108. And recall that our hedging accelerates as we move towards the strike. So we have to sell even more now than we did before, which further contributes to downward momentum. This pressure peaks at $100 at which point is starts to decelerate again, providing a natural tendency to revert to high OI strikes where there is substantial outstanding gamma.


TWTR sold off because Trump is their biggest attraction. Note that they put out the news of his ban after 4pm on Friday, which is what companies do when they fear the market's reaction.

Trump's use of Twitter to rally the hordes has been a major factor in his ability to motivate and steer public unrest. His absence from Twitter is going to have an impact on the platform's engagement numbers and public relevance. Meanwhile, Wednesday's insurrection is another piece of evidence that S230 isn't sufficient to foster a healthy public conversation.

Twitter's reluctance to silence Trump in the past four years alienates the Left, while their decision to do so last week alienates the Right. Trump's absence from the platform disengages both groups, as well as whatever paid propaganda apparatus exists to bolster certain ideas on Twitter.


It's what's driving TSLA's wild growth.


Unlikely, for the gamma squeeze to work on TSLA, the Market Makers need to hold the shares after the options expire. Otherwise when the options close, they wouldn't need to maintain their exposure. For reasons we don't know, the shares remain high even after the expiration.


I don't get it, how?


1. Retail investors buy TSLA calls.

2. Market makers sell these calls, and so buy TSLA shares to cover their position.

3. Due to #2, TSLA shares appreciate, as well as the calls from #1.

4. Retail investors see all the money being made, and FOMO in to buy more calls; go back to #1, repeat.


TSLA has a pretty small float which is a large part of that.


Would this really happen be a relevant dynamic over long time periods? I would assume that at some point the market makers get nervous and stop selling calls?


Why? they have cover and already pocketed fees


It does not have to be long time its up more than 5 folds in the last few months.


By long time periods I meant > 1 day. Maybe for a few hours some algorithm can do it's thing mindlessly, but then some real person will look at holdings with human judgement and start worrying. But I guess it depends who you think will be doing the marketmaking, and how stupid you think they are.


tsla is up 22x in the past year and a half


Ok, I see so around #3 sell to close? Or do you take the underlying?


Sell to close before expiration, it's usually never worth getting assigned shares.


It's not. Tesla's stock price is driven by supply and demand. Even after a 5-for-1 split, there still is not enough float. Many shareholders are true believers.


Today's price drop was probably caused by some private shareholders selling their shares to punish Twitter for the dick move of banning Trump, combined the increased market risk of having offended 25-50% of the US population.


Maybe also that Trump's tweets were a significant driver of their traffic, and therefore revenue. Twitter without Trump may in fact be a less valuable company.


this is what i thought. His followers will follow him wherever he goes. Probably his own branded services if he's smart (and not in jail etc)


You realize that selling stock in a company in no way punishes the company right? Once a company IPO's the stock price is really irrelevant to the company unless they want to raise more capital


It punishes the decision makers at the company, all of whom hold concentrated positions in their company's stock.


This article sort of skipped over the actual "gamma" part.

When the banks buy stocks to hedge their calls, they push the price up. Why does that create a feedback loop?

Because the price going up makes each call more risky, which means they need to buy more stock for each call on their books (including the ones they already hedged).

That effect, the relationship between the price of the underlying and how much you hedge, is "gamma".


Gamma effects can happen with derivatives of any type. For example with swaps and some of the leveraged etfs that hold them.


I wonder if this is the way bitcoin whales operate, except I doubt that option dealers need to buy the underlying currency.


Bitcoin whales manipulate the futures market. The liquidity is (or was, maybe) small enough that individual players can move the spot market in the direction they want in order to profit from a futures play. It doesn't take that much (relative to traditional markets)--a year or two ago someone on Bitstamp sold 5000 coins, which was enough to cause a 30% dip/flash crash. Thanks to leverage (some exchanges offer up to 125x), whatever money is lost on the spot market side is made up for in spades.




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