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Ratio Backspreads - Delta Neutral
Issued on September 20 2011 par Ratio Backspreads - Delta Neutre
One way in order to build a ratio backspread strategy is to set it up delta neutral.
A simple way to build ratio backspreads is to make them 'delta neutral', say, neutral against little spot variations.
I - Delta Neutral - Gamma +
As far as one needs to buy a larger quantity of out the money options in order to make the whole strategy delta neutral, it becomes obvious that if the strike is not set too far from the money, that kind of stratety will exhibit a natural positive gamma.
A positive gamma means that the strategy would benefit from up and down moves.
II - Example
- Short 1 call strike 95, 132 days, Implied Volatility 15%, rate = 1%
The Greeks :
Delta Δ = 0.741
Theta Θ = -0.013
Gamma γ = 0.03566
Vega υ = 0.19
- Long 2.28 ( 0.741 / 0.352 ) calls strike 105, 132 days, IV = 15%, rate = 1%
The Greeks :
Delta Δ = 0.352
Theta Θ = -0.0133
Gamma γ = 0.03972
Vega υ = 0.22
That leads for a short 1 call struck at 95 / long 2.28 calls struck at 105 strategy to :
Delta Δ = 0.00
Theta Θ = -0.0173
Gamma γ = 0.05421
Vega υ = 0.30
III - Graphs
Call Ratio backspread 95/105 -1/+2.28 implied volatilities : 15%/15%, Spot = 100, 132 days

Delta : :

Gamma

Vega :

Theta :

Previous : Ratio Backspreads
Advanced Strategies - INDEX
Advanced Strategies - CHAPTER I
Advanced Strategies - CHAPTER II
Advanced Strategies - CHAPTER III
Advanced Strategies - CHAPTER IV
Advanced Strategies - CHAPTER V
Ratio Backspreads - Delta Neutre
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