[PhantomGremlin]

So if the delta at the current stock price is 0.50 and the market maker is short 100 call options, he will buy 50 shares.

If he does that he won't remain a market maker for long.

A single call option almost always is for 100 shares of the stock. So being short 100 call options, delta 0.5, would require being long 5000 shares to be hedged.

I'm sure you knew that, I'm just pointing out your typo for other less-experienced people here.

[freefal]

Yes, I was ignoring the fact that an options contract represents 100 shares as it needless complicates the point I was trying to make.