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Re: globall update in piecewise yield curve?

Posted by Luigi Ballabio on Jan 12, 2013; 11:29am
URL: http://quantlib.414.s1.nabble.com/globall-update-in-piecewise-yield-curve-tp13908p13911.html

Oops. I meant: "even if the bootstrap procedure changes just one node..."

On Sat, Jan 12, 2013 at 12:27 PM, Luigi Ballabio
<[hidden email]> wrote:

> Hi,
>     cubic interpolation is global; that is, even if the interpolation
> moves just one node, the interpolation changes globally.  If you want
> shocks to be local, you'll need another interpolation.
>
> Luigi
>
>
> On Fri, Jan 11, 2013 at 4:00 PM, Candy Chiu <[hidden email]> wrote:
>> Hi Luigi,
>>
>> I just want to double check with you that the piecewise yield curve changes
>> only local data in each step of the iteration?  In other words, once it is
>> done with the i-1'th instrument, all parameters indexed 0 to i-1 are fixed.
>> I am not sure if this is true for the Cubic interpolation.  One symptom that
>> raised concern is when I apply a 20-year key rate shock, the 2y10y forward
>> rate differs from the base case by 1bp.  Since all market data from time 0
>> up to time 15 years didn't change, the shock should only impact discount
>> factors after 15 years.  The 2y10y forward rate depends only on discount
>> factor up to 12 years, and should stay the same.
>>
>> Your help is appreciated.
>>
>> Candy
>>
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