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Volatility surfaces : a first attempt
Issued on October 02 2011 par Strategies Options

Implied volatility is neither constant for every strike, nor for every expiry.
Once one is using a pricing model, most of them shows up that implied volatility is not constant at all. In other words, implied volatility differs for strikes and time.



I - What a volatility surface is ?

This is a 3D representation of how volatility can be varrying against strikes and time.
It's somethimes derived against moneyness or delta.
The main purpose of a volatility surface is to price and hedge options according to what market prices express in order to adjust pricing models with reality.



II - How to use it ?

To price and evaluate positions, it's interesting to see how P&L would be affected by volatility moves, as priced by the market in the Volatility Skew and the Volatility Smile.
The way a volatility surface evolves across the time can be of first interest when playing with volatility.



III - Representations

Implied volatility Surface using CAC40 Index Options
c'est une représentation en 3 D de la volatilité en fonction du temps et du strike


Next : Asset Path Simulation
Previous : Volatility : Trading Formulae



Related Pdf :

- Pdf on Volatility Surfaces
- VOLATILITY SMILES, SURFACES AND OPTION PRICES
- Modeling the Implied Volatility Surface
- Implied Volatility Surface
- Volatility Surfaces : Theory, Rules of Thumb, and Empirical Evidence


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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