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Re: Valuing CPI Bond at real yield curve

Posted by Piter Dias-4 on Jun 03, 2014; 6:10pm
URL: http://quantlib.414.s1.nabble.com/Valuing-CPI-Bond-at-real-yield-curve-tp15354p15357.html

I think he wants to use a "spot inflation index" (kind a dummy currency) and evaluates using real interest rates. It is a procedure usual in Brazilian inflation market, for example.

This procedure doesn't requires a inflation forecast curve, as long as the real rates are observable.

Just as an example, all NTNB (Brazilian inflation bond) rates at the following like a real YTM: http://www3.tesouro.gov.br/tesouro_direto/consulta_titulos_novosite/consultatitulos.asp

Regards,


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Piter Dias
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> Date: Tue, 3 Jun 2014 20:02:12 +0200

> From: [hidden email]
> To: [hidden email]
> CC: [hidden email]
> Subject: Re: [Quantlib-users] Valuing CPI Bond at real yield curve
>
> Hi Francois,
> if I get you right, your idea is to directly work in the real
> currency (which indeed may work for zero inflation coupons and
> nominal, I think ...). But why do you need to refer to CPI instruments
> at all then and not just work with usual fix rate bonds and a yield
> term structure for the real curve ?
> best
> Peter
>
> On 3 June 2014 15:37, Luigi Ballabio <[hidden email]> wrote:
> > I think you should be able to manage with InterpolatedZeroInflationCurve.
> >
> > Luigi
> >
> > On Tue, Jun 3, 2014 at 3:04 PM, Francois Botha <[hidden email]> wrote:
> >> Hi,
> >>
> >> I want to value a CPI Bond using a real, not nominal, yield curve. As I
> >> understand it, the current CPI Bond methodology requires some CPI indices, a
> >> zero inflation curve and a nominal yield curve. I don't have all those
> >> available, but I should be able to input a real curve instead of nominal
> >> curve (used in discounting) and a flat zero inflation curve consisting of
> >> rates = 0.
> >>
> >> It should give the same value. Conceptually, this method is also the same as
> >> valuing a fixed rate bond, but with an added inflation ratio adjustment,
> >> based on the CPI indices.
> >>
> >> But I'm struggling to create a zero inflation curve which is basically flat
> >> and all 0s. I've tried using PiecewiseZeroInflationCurve and with some
> >> instruments yielding 0s, but I end up with a curve that is not exactly flat
> >> or zero. I suspect it's a consequence of the historic CPI indices and the
> >> fact that they're interpolated.
> >>
> >> Are there any other ways, besides PiecewiseZeroInflationCurve to construct a
> >> ZeroInflationCurve?
> >>
> >> thanks
> >> Francois Botha
> >>
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"Graph Databases" is the definitive new guide to graph databases and their
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http://p.sf.net/sfu/NeoTech
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