Why inflation floor prices to zero

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Why inflation floor prices to zero

Pomarico Francesco Ivan

Hi all,

 

I am trying to price inflation cap and floor using YoYInflationBlackCapFloorEngine and there is something not really clear to me.

 

The NPV of an inflation floor with zero floor rate is always zero whatever volatility and for any term. Of course market quotes are not zero.

 

I think this is due to applying the Black formula with the forward = I(T)/I(T-1)-1 and strike = floor rate, instead of forward = I(T)/I(T-t) and strike=1+floor rate. In the latter case you can get a non zero npv.

 

Thanks for your help.

Ivan


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