6th April 2025

Decoding An Options Post


Preamble

I traded options and futures (poorly) from 2019-2022. I more or less broke even but I got burned out. In the end I decided it was most certainly a better use of my time to focus on my day job, and admittedly the mental stress, especially from the futures trading, was really taking a toll on me. It also doesn't help that I'm not super gifted at math, although I really do try my best. My son seems to have a proclivity; perhaps he can succeed where I could not.

But I digress. I like to stay abreast of the concepts and I interact with a decent number of people online that are definitely way smarter and better at trading than me. In life, you don't have to know everything or be the best, but if you can stay humble and surround yourself with smart and kind people, you'll typically end up ok. That being said, on occasion something I am either unfamiliar or vaguely familiar with will pique my interest enough that I will want to try and figure it out for myself.

Now then, on to the meat of this post.

The Post (Tweet) in Question

Anyway, a post from none other than Mr. peepeepoopoo himself came across me feed recently and I wanted to share it.

https://x.com/DeepDishEnjoyer/status/1769021671543869614

The question is there, and the walkthrough is here:

https://x.com/DeepDishEnjoyer/status/1769076779195433384

Frankly it took me a while to figure this out. I asked Claude if I was on the right track with my assumptions, and it provided me with a helpful real-world example:

Basic Setup

Let's use a fictional company called "TechGrow Inc." (ticker: TGI) that's currently trading at $100 per share.

Imagine you want to create a theta-flat structure (meaning no exposure to time decay) using options that expire in 30 days:

1. You buy 1 put option with strike price $90 (10% OTM)

2. You sell 1 put option with strike price $95 (5% OTM)

3. You sell 1 call option with strike price $105 (5% OTM)

4. You buy 1 call option with strike price $110 (10% OTM)

This creates what's called an "iron condor" - a neutral strategy that's typically theta-positive (makes money from time decay) but we've adjusted the quantities to make it theta-flat.

What Happens When the Stock Moves

Let's say there's a big market drop and TechGrow falls to $90 over the next week:

1. Gamma Effect: Your position loses money from the price movement itself. The short $95 put is now in-the-money and losing value faster than your long $90 put is gaining value. This is the gamma loss mentioned in the tweets.

2. Volatility Effect: Here's where it gets interesting! When stocks fall sharply, implied volatility typically increases - especially for puts. This is the volatility skew phenomenon.

- Your long $90 put might see its implied volatility jump from 25% to 35%

- Your short $95 put might see its implied volatility rise from 22% to 30%

Because you're long the $90 put (farther OTM), it benefits more from the volatility increase than your short $95 put. This creates a vega gain that offsets your gamma loss.

Real Numbers Example

Starting position:

- TGI at $100

- $90 Put: Buy for $0.50 (25% IV)

- $95 Put: Sell for $1.20 (22% IV)

- $105 Call: Sell for $1.30 (20% IV)

- $110 Call: Buy for $0.60 (22% IV)

- Net credit: $1.40

After stock drops to $90:

- $90 Put: Now worth $3.00 (35% IV) → Gain of $2.50

- $95 Put: Now worth $6.50 (30% IV) → Loss of $5.30

- $105 Call: Now worth $0.10 (18% IV) → Gain of $1.20

- $110 Call: Now worth $0.05 (20% IV) → Loss of $0.55

- Net position: Loss of $2.15

This looks bad, but without the volatility increase, your position would have lost even more. The increased IV on your long put provided a partial offset to the losses from the price movement.

The Key Insight

The tweet was highlighting that in a perfectly constructed theta-flat structure:

1. You will lose money from gamma (price movement)

2. You need to make money from vega (volatility changes) to break even

3. This only works when put volatilities increase as the stock falls (the skew phenomenon)

Anyway, the practical takeaway is: when creating "neutral" option strategies, you're making implicit bets on how volatility will change if prices move.