Strategies Options        "To manage is To Forecast..."
 The Option Trading Website
Accès Site
 
Home  >  Options 101  >  Option Delta ∆ 

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
Previous : Option Delta ∆: A First Attempt

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

Strategies-options.com
Other articles
- Advanced Strategies -
Ratio Backspreads
Ratio Backspreads, another way to benefit from a self financing option strategy.
- Other Derivatives -
Binary Option : delta
Binary option and vanilla option delta are alike. What about binary option delta ?
- Options 101 -
Volatility surfaces : a first attempt
Implied volatility is neither constant for every strike, nor for every expiry.
- Futures and Equity Options Trading Strategies -
Delta hedged Risk Reversal using French CAC 40 Index Options
Stock markets seem to be up to large movements. It may be time to set a delta hedged risk reversal.
- Pricing Models -
OPTION PRICING MODEL - CHAPTER I
Binomial Option Pricing Model
- Options 101 -
Volatility : a first attempt
Markets move up and down, and one needs to estimate how high or low is this waving.