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GammaLab
Jan 17, 2022 11:37 PM

Gamma - what the heck!? 

S&P 500 IndexTVC

Description

Disclaimer: The above chart is entirely fictitious to get the points across.

What are gamma levels and why are they significant?

Let’s make a couple of assumptions:

1) The SPX option market is primarily used for hedging purposes by big investors.
2) Those investors hedge downside-risk by buying put protection (that’s a “long put”) and selling calls (short calls).
3) On the other side of those trades are the so called option dealers (ODs), who buy calls (long calls) and sell puts (short puts).

Option dealers do not want directional risk, so they delta-hedge their exposure away right after the initial trade. Both the long call and the short put positions are bullish, so they need to initially sell futures against them.

So far pretty straightforward, but here is where it is getting a little tricky..

Option delta changes when markets are moving, and therefore ODs have to adjust their initial delta hedges frequently (especially when an option moves into/out of the money, due to fast delta changes) but the mechanics are different for longs calls and short puts.

Scenario 1): Assume the OD only has one long call to hedge:

A long call has a positive gamma value, and when the option moves into the money as the market goes up, gamma increases (delta accelerates from 0 toward 1), which forces ODs to sell even more futures above their initial delta hedge. (As for the opposite direction: If the option moves out of the money, gamma spikes again and ODs are forced to buy futures).

In plain english: If an OD is long gamma (for example if he owns more long call options than short puts OR his long calls are getting pushed into the money, while his short puts leave the money), he is buying when YOU are selling and selling, when YOU are buying.

Scenario 2): Now let’s assume the OD only has one short put option to hedge:

A short put has a negative gamma value and when the option moves out of the money as the market declines, gamma becomes even more negative (delta accelerating from 0 towards 1), which forces ODs to sell more futures beyond their initial delta hedge. If the market is moving up and the short put moves into the money gamma spikes again, but this time around delta delta declines towards 0 and ODs can unwind hedges by buying back futures.

Again in plain english: If an OD is short gamma (if he owns more short put options than long calls OR if his short puts are moving into the money), he is selling, when YOU are selling and buying, when YOU are buying.

Tip: It is mind bending to wrap your head around those concepts at first, but I suggest to keep looking at the option characteristics of long calls and short puts while trying to digest the concept of delta hedging. It is not per se hard to understand if you just memorize the corresponding charts.

If you do not care about options at all, just remember that if an option dealer is long gamma he is suppressing volatility due to his counter cyclical hedging approach and if a dealer is short gamma he is trading “with the flow”, therefore increasing volatility.

A question many are asking is: How do we know if option dealers are long or short gamma and how do I come up with those “gamma inversion levels”?

In order to calculate the net dealer position at the current market price, all you need to do is to add up the gamma of all call options and subtract the gamma of all put options from that number.

Now, in order to estimate the gamma inversion you just need to to run a couple of iterations that simulate a market drop and..Voila.

I am writing this up super fast and I hope I’ve made no major flaw. Many people are interested and keep asking the same questions and I am very slow to respond to private messages, so I figured I just give you a full broadside.
Comments
DK_G_Brokers
good
atosh12
Thanks for taking the time to explain this concept in plain words!! I am beginning to understand this now. Belive this should be in the "Education" category.
pjackson
Thank you very much for explaining in plain English. This is worth rereading and studying as it describes an important factor that is driving the indices in the short term. TradingView should hire you to expand on this more.
ForexTrendline
Thanks for sharing!
wolffarchitecture
excellent education, agree very very useful
snowfev2021
toooo difficult, what i think i understand is that some dealers bet spy goes to 4600 and others bet it goes to 3000, is that it? tks
GammaLab
@snowfev2021, no, dealers do not bet at all. Their purpose of hedging is to be market neutral at all times.
aliaksei97
@GammaLab, if dealers are market neutral, how do they make money then?
DaddySawbucks
@aliaksei97, When they sell a call they buy the stock. Stock goes up a dollar, call goes up the Delta, maybe .50-.70c, MMs win. When they sell you a put, they short the futures on that index, or shares of the stock. It goes down a dollar, the puts gain half of that, they always win. By keeping equal numbers open each side, they remain neutral and pocket the premium losses that you suffer.
dion95hc
Thanks for the write up.
So if I understood correctly,
Any movement above inversion level is less volatile because OD is net long gamma and is doing the opposite of what the market is doing.

Any movement below inversion level is more volatile because OD is net short gamma and doing what the market is doing.

Right?
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