Posted by
Irakli Machabeli-2 on
URL: http://quantlib.414.s1.nabble.com/Bootstrapping-US-Treasury-Curve-with-fake-zero-coupon-bonds-tp8072.html
Hi,
I'm trying to bootstrap treasury curve with cubic spline including t-bill( short dated with no coupon)
Since quantlib doesn't support zeros I add fixed rate bond helper with real price and very small coupon.
During bootstrap I get an error
1st iteration: could not bootstrap the 1st instrument, maturity February 19th, 2009:
root not bracketed: f[2.22045e-016,3] -> [-9.989025e+001,-4.726847e+001]
>From the point of view of yield calculation price 99.89 and coupon 0.00001 makes sense.
Can anyone suggest whet I'm doing wrong or it's a bug and discount bonds(price less than 100) are not handled properly?
Below are the bonds used to fitting:
CUSIP HASCPN FREQ CPN ISSUEDATE MATDATE BBGNAME VALUEDATE PRICE
912795K42 N 0 0 8/21/2008 2/19/2009 CB3 Govt 11/18/2008 0.11
912795L90 N 0 0 11/20/2008 5/21/2009 CB6 Govt 11/18/2008 0.74
912795S44 N 0 0 10/23/2008 10/22/2009 CB12 Govt 11/18/2008 0.99
912810PX0 Y 2 4.5 8/15/2008 5/15/2038 CT30 Govt 11/18/2008 106.9844
912828JP6 Y 2 1.5 10/31/2008 10/31/2010 CT02 Govt 11/18/2008 100.75
912828JQ4 Y 2 2.75 10/31/2008 10/31/2013 CT05 Govt 11/18/2008 102.8438
912828JR2 Y 2 3.75 11/17/2008 11/15/2018 CT10 Govt 11/18/2008 102.2656
For zeros I'm passing 100-price as input to quantlib and coupon 0.00001, Frequency.Annual, BusinessDayConvention.Following
Irakli
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