Delta: Difference between revisions

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Delta values range from 1.0 to -1.0.
Delta values range from 1.0 to -1.0.
*A delta of 1.0 gives an exact correlation with the performance of the underlying. A [[call]] option necessarily has positive delta: as the underlying asset increases in price, the call value increases.
*A [[delta]] of 1.0 gives an exact correlation with the performance of the underlying. A [[call]] option necessarily has positive [[delta]] : as the underlying [[asset]] increases in price, the call value also increases.
*A delta of -1.0 does the exact opposite of what the underlyer is doing. A [[put]] option necessarily has a negative delta. As the underlying security increases, the value of put decreases.
*A [[delta]] of -1.0 does the exact opposite of what the underlyer is doing. A [[put]] option necessarily has a negative [[delta]]. Well of course it does: you shorted the underlyer. As the underlying security increases in value, your put goes [[out of the money]].
*A delta of 0 means the two products are correlated at random. A derivative with a delta of nil has no relationship to your underlying, or basically ''isn’t'' a derivative of that underlying.
*A [[delta]] of 0 means the option and the underlyer are uncorrelated - there performance with respect to each other is random. A derivative with a [[delta]] of nil basically ''isn’t'' a derivative of that underlying.


Technically, the value of the option’s delta is the first derivative of the value of option with respect to the underlying security’s price.  
Technically, the value of the option’s delta is the first derivative of the value of option with respect to the underlying security’s price.  


{{greeks}}
{{greeks}}

Revision as of 16:08, 28 September 2016

The option delta of a derivative is the ratio between a change in the price of that derivative and the change in prince of the underlying asset it is a derivative of.

Delta values range from 1.0 to -1.0.

  • A delta of 1.0 gives an exact correlation with the performance of the underlying. A call option necessarily has positive delta : as the underlying asset increases in price, the call value also increases.
  • A delta of -1.0 does the exact opposite of what the underlyer is doing. A put option necessarily has a negative delta. Well of course it does: you shorted the underlyer. As the underlying security increases in value, your put goes out of the money.
  • A delta of 0 means the option and the underlyer are uncorrelated - there performance with respect to each other is random. A derivative with a delta of nil basically isn’t a derivative of that underlying.

Technically, the value of the option’s delta is the first derivative of the value of option with respect to the underlying security’s price.

See also