ql/experimental/inflation/yoycapfloortermpricesurface.hpp: bug in intersect() ?

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ql/experimental/inflation/yoycapfloortermpricesurface.hpp: bug in intersect() ?

raffaele.pellicani

Hi,

ATM swap rates come from put-call parity on inflation cap/floor premiums.
The intersection is made in ql/experimenta/yoycapfloortermpricesurface.hpp/ InterpolatedYoYCapFloorTermPriceSurface::intersect()
The code below refers to this function.

I think that the line:

if ( floorPrice_(t,cStrikes_.back()) > capPrice_(t,cStrikes_.front()) ) {

should be changed in:

if ( floorPrice_(t,fStrikes_.back()) > capPrice_(t,cStrikes_.front()) ) {

That is, if the floor price at fStrikes_.back(),the last strike available for floors is higher than cStrikes_.front(),
the cap price at the first strike available for caps, the fixed leg in the associated YoY Inflation Swap is paying too much.
Hence, the search must be oriented towards ATM Swap Rate( t ) < fStrikes_.back() and the code following the line above gains sense.

So far, I've worked with data where fStrikes_.back() = cStrikes_.front() = 2% (the standard market convention in quoting caps/floors).
The ATM Swap curve I get after the change is compatible with the ZC Inflation Swap market.


Regards,
Raffaele





Freundliche Grüsse
Raffaele Pellicani
Zürcher Kantonalbank
Financial Engineering Handel, SIPH



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