Delta -- Your Probability Compass
What Is Delta?
Delta tells you two things at once. First, how much the option price moves for every $1 the stock moves. Second -- and this is the one that matters for us -- it roughly equals the probability that the option expires in the money. A put with -0.20 delta has about a 20% chance of being ITM at expiration. That means you have an 80% chance of keeping the full premium. This is how I pick my strikes.
Delta as a Probability Estimate
When you sell a 0.30-delta put, the market is saying there's roughly a 30% chance the stock drops below your strike by expiration. Flip that: 70% chance you just collect premium and move on. This is how I choose every single strike. I don't guess where the stock is going. I let delta tell me the probability, and I pick the risk level I'm comfortable with.
- +~80-90% chance of expiring OTM (you keep premium)
- +Smaller premium -- might only be 0.5-1% monthly yield
- +Wider margin of safety if the stock drops
- +Best when you're starting out or when the market feels shaky
- –~60-70% chance of expiring OTM
- –Bigger premium -- 2-3%+ monthly yield
- –Smaller cushion if the stock drops
- –Best when you genuinely want to own the shares and want a higher yield
How Delta Changes with Stock Price
Delta isn't set in stone. If AAPL drops from $195 toward your $185 put strike, delta increases (gets closer to -1.0), meaning assignment is getting more likely. If AAPL rallies away from $185, delta shrinks toward zero. This is why checking delta after you open a trade matters -- not just when you pick the strike.
- •Delta is your probability compass. A -0.25 delta put has about a 75% chance of expiring worthless (you win).
- •Sell puts at 0.20-0.30 delta for the best balance of income and safety.
- •Delta changes as the stock moves -- keep an eye on it after you open the trade.
You sell a put with a delta of -0.25. Approximately what is the probability it expires out of the money?