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CAC 40 Ratio BackSpread
Issued on February 03 2012 par Maw

Ratio Back Spread using French Index Options
Ratio Back Spread is a directional options strategy that enables to get the direction wrong if the movements are large.




I – Situation


Every news shows up a bad situation. Financial crisis seems to stay on the the road, and there is no ways to fix it quickly.




II – The strategy


Ratio back spread can be built delta neutral, providing a position that is long gamma / long vega on the upside, and prgressively short on the downside.

June future settled at 3333 last friday.


Our strategy can be described as :
- selling 5 3200 June 12 calls for a premium which is worth 262.20 hence a credit of : (5).(10).(262.20)= € + 13110
- buying 8 3500 June 12 calls 3500 for a premium which is worth 101.30 thus a debit of (8).(10).(122.80) = € - 8104

The net credit is 13110-8104 = € +5006

Quantities are set in order to be delta neutral
- the delta of the 3500 call is 0.469
- the delta of the 3200 call is 0.724



III – Quotes


June CAC's options quotes on 02-03-2012





IV – Expected P&L


Using delta and gamma, one can set an expected P&L of :

Expected P&L using delta and gamma on 02-03-2012



This is without taking the skew into account.

Implied volatility surface :
Implied volatility surface on 02-03-2012


Using our own interpolation we get :

- Implied volatility for the 3500 call is 25.07%
- Implied volatility for the 3200 call is 29.55%

This leads to a theorical loss of € 243.24 if bid / ask spread is taken into account.


ratio backspread P&L on 02-03-2012



Finally, we have :
graph of the P&L on 02-03-2012


See you next week for the first update.




Next : CAC 40 Ratio BackSpread ( 1st Update )

Maw
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