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Option Delta ∆
Issued on November 09 2011 par Strategies-options.com

Delta ∆ is a Greek factor sensitivity measuring a portfolio's first order sensitivity to the value of an underlying.
Delta ∆ is the rate of change of an option price with respect to a spot move. It means the speed of how an option value increase or decrease after a spot variation.



I - The Slope

Delta means the slope of the curve that represents an option value, at one point.






II - Taylor Expansion

If one takes a look at small spot moves, it could be the derivative of option price with respect to the spot.
If V(S) is an option value for a spot S, ∂V/∂S is the derivative with respect to S, a first order Taylor expansion leads to :




That is for small spot moves: Option variation= ∆ * (spot variation)

Sometime it's called 'spot equivalent'.



III - Graphs

Call Delta



Put Delta




Next : Option Gamma : A First Attempt
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Delta Hedging Principles

OPTIONS 101 - INDEX
OPTIONS 101 - CHAPTER I
OPTIONS 101 - CHAPTER II
OPTIONS 101 - CHAPTER III
OPTIONS 101 - CHAPTER IV
OPTIONS 101 - CHAPTER V
OPTIONS 101 - CHAPTER VI

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Delta ∆ is a Greek factor sensitivity measuring a portfolio's first order sensitivity to the value of an underlying.