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RE: Delta on CapFloor

Posted by Perissin Francesco on Oct 15, 2002; 12:56am
URL: http://quantlib.414.s1.nabble.com/Delta-on-CapFloor-tp2246p2248.html

Hi Andre
I could not understand why you need to calculate Delta NUMERICALLY.
Moreover, what you are writing below is an ANALYTICAL solution, isn't it?
So, let's talk about an analytical delta.
At the mom I have not the black's formula in front of me, but I assume that
yours is correct. In order to get the the cap delta starting from caplet
deltas, you simply need to sum them up, since the cap is a sum of caplets...
(and given the additive propriety of the derivative operator)

Maybe I misunderstood something?

Francesco Perissin



-----Original Message-----
From: Andre Louw [mailto:[hidden email]]
Sent: Tuesday, October 15, 2002 7:10 AM
To: QuantlibUsers (E-mail)
Subject: [Quantlib-users] Delta on CapFloor


Hi,

I need to NUMERICALLY calculate the delta on a Black-type capfloor.
Calculating said on a specific caplet (in terms of the forward and in terms
of spot) the way I have it is:

        Delta(Forward) = eta * Normdist(d1)
        Delta(Spot) = eta * NormDist(d1) * df(Maturity) * yearFraction

However getting a total for the full strip of caplets is an unknown to me?
Do you base it on an average of all the caplets, I presume not?

Thanx

Andre

 
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