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What Is the Delta of a Deep Out-of-the-Money Put Option?

The Delta of a deep out-of-the-money (DOTM) put option is close to 0 (or -0.01 to -0.10). A Delta near zero means the put option's price is very insensitive to changes in the underlying asset's price, as the probability of it expiring ITM is very low.

Why Is ‘Close-out Netting’ a Critical Feature of the ISDA Agreement?
Does Theta Decay Affect In-the-Money, At-the-Money, and Out-of-the-Money Options Equally?
What Is the Difference between Payment Netting and Close-out Netting?
How Does Close-out Netting Differ from Payment Netting?