47/ Aaaand we’re back, talking about second-order greeks.

Honestly, I don’t really get why so many people care. I was an options market-maker for a long time, and I almost never thought about second-order greeks.

Like a few times a month, tops.
48/ If you’re an exotics trader then fine. But I doubt there are more than a dozen of you reading this.

And if you’re exo trader or options MM, you should have better sources of info than some rando Twitter handle. :)
49/ So why does #fintwit care? Some of it is curiosity, learning for the sake of learning. That’s great.

But I bet some of it is trying to feel and sound smart. However, feeling and sounding smart doesn’t pay the bills. So be careful.

Ok, no more soapbox. Let’s go.
50/ SPEED: d gamma / d spot.

Ok, I’m cheating already since this is a *third* order greek. Booo! But it’s the most important “weird one” for a market maker IMO.
51/ Gamma is basically “How much am I going to need to hedge to stay delta neutral?”

The delta of low-gamma positions stays pretty constant, high-gamma positions have deltas that move around a lot.

Why should I care?
52/ Expiration, usually. Say I have a pos with high gamma. I’m probably trading a lot (more than I’d like) trying to stay flat.

If I have a high speed on top of it, then I’m exposed to the risk that if stock moves, I’ll have so much gamma I won’t be able to hedge well anymore.
53/ Near expiration, I could easily get stuck with a large delta I can’t hedge.

No market maker likes to sweat a big delta over the weekend. That’s not what you’re paid to do.
54/ CHARM: d delta / d time.

Another one that matters mostly near expiration, for much the same reasons as above. Near expiration, the mere passage of time can change your delta a lot.

ITM options get ITMier, OTM options get OTMier.
55/ Of course, ATM options kind of stay around 50 delta as long as spot doesn’t move.

So the charmiest options are the ones on the shoulders of the Gaussian. The 25/75 delta options, basically.
56/ VOMMA: d vega / d vol.

I didn’t worry much about this one, because I didn’t really trade long-dated options and this is a thing that matters more as t_exp gets bigger.

Usually, the way you think about this is “If vol explodes, does my book get bigger or smaller?”
57/ Since we’re good boys and girls and we’re delta hedging, options trading is about trading vol. And vega is the size of your vol bet.
58/ And since IV only really moves fast in one direction (up), vomma tells you the answer to the question “If the world goes crazy, do I now have a massive book on my hands?”

Which is something worth knowing, for sure.
59/ D VEGA / D SPOT:

I don’t know what this one’s called. But it’s another specific case of d vega / d whatever.

And as before, what we care about is “How big/small does my book get if X happens?”
60/ In fact, as you can tell, this is how I think about all of these 2nd order greeks.

I’ve never put on a trade thinking “Ooh, I see a vomma mispricing”.

I’m sure that’s someone’s job but it never was mine. Thinking about this stuff was always about risk management for me.
61/ But again, usually if you take care of the first-order stuff, you don’t really need to think about the second-order stuff except in weird situations.

I think that’s it for second order greeks. Yes I skipped a big one. That’s cuz I have nothing interesting to say about it.
62/ Please don’t think of this as definitive on the subject. It’s just one person’s perspective, given the experiences I’ve had.

I’m sure @bennpeifert @ksidiii and others have different (and possibly more informed) views. That’s ok too.
You can follow @AgustinLebron3.
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