by x3lr4

I see a lot of people just YOLO’ing their life savings on the next meme stock here. Yes, it’s more fun than buying a lottery ticket and your chances of success are higher. Wait, are they?

As a physicist and mathematician, I feel the need to at least tell my fellow autists how to bet properly.

There’s something called the Kelly criterion, which tells you whether a bet is favorable or not. I’m not boring you with the details, so just read the article if you’re smart. But at its core it’s a really simple formula:

```
f* = p - q/b
```

, where f* is the Kelly criterion, p is the probability of success, q is the probability of going tits up and b is the profit-risk-ratio.

Trading software like TWS and many others give you the probability of success, based on a lognormal distribution, when you create an order. So p and q are known. f* needs to be positive, the bigger the better. b is what we want to know.

Here’s an example:

```
p - q/b > 0
p > q/b
b > q/p
b > (1-p)/p , because q = 1-p
b > 1/p - 1
```

I wrote out every step, so even the biggest idiot can understand it. So if your probability of success is 70%, your profit-risk-ratio needs to be `1/70% - 1 = 42.9%`

. That means if you risk $100, you need to potentially earn at least $43.

But those numbers are only interesting for the theta gang and them losers in r/investing.

My strong handed r/wallstreetbets friends, with balls made out of steel, need an example that better suits their need for the ultimate thrill.

So let’s say you buy a call that is 20% OTM at 280% IV. For example a Feb’28 40c on $SPCE. The underlying is currently at $33 and the call costs $3.50.

This will give you a 27% chance of success, so the profit-risk-ratio needs to be `1/27% - 1 = 270%`

. If you exit these trades at less profit than an average 270% on your investment, math clearly states that you’ll definitely go tits up.

If you bought this Feb’28 40c on $SPCE for $350, you need to sell it for at least $1,297 (on average over all your trades). It’s even a bit more, because of commissions.

Now listen, this is the optimal way of betting, but there’s still a risk of going bankrupt. If you do an evolution on the Kelly bet, more than 75% of them diverge (go to infinity), but almost 25% still converge (go tits up). So people like Warren Buffet only do 20%-50% of the Kelly criterium.

I hope you retards actually learned something.

Disclaimer: This information is only for educational purposes. Do not make any investment decisions based on the information in this article. Do you own due diligence.