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At The Money Forward Relationships 2
Issued on September 21 2010 par Strategies Options

We go ahead of the ATMF relationships study
We saw a very easy way to price an ATMF call/put, knowing its delta, conversely to price the delta knowing the ATMF call/put value.



I - A the money forward, Call and Put have the same value

If we set interest rates to 0 (we are ATMF) it leads to :

Thus,


But


As far as

We get

And finally



II - Examples

How much is worth a 3 month ATMF call if implied volatility is 20% ?
- 0.4*(20%)*sqrt(0.25) = 0.4*0.2*0.5 = 0.04 = 4% of spot value.

How much is worth a 1 year month ATMF put if volatility is 30% ?
- 0.4*(30%)*sqrt(1) = 0.4*0.3*1 = 0.12 = 12% of spot value



Next : At The Money Forward Relationships 3
Previous : At The Money Forward Relationships 1

Relationships Between Option Sensitivities - INDEXRelationships Between Option Sensitivities - CHAPTER I
Relationships Between Option Sensitivities - CHAPTER II
Relationships Between Option Sensitivities - CHAPTER III

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