Re: error in building yieldtermstructure using T-Bills, T-Notes, and T-Bond

Posted by Luigi Ballabio on
URL: http://quantlib.414.s1.nabble.com/error-in-building-yieldtermstructure-using-T-Bills-T-Notes-and-T-Bond-tp14209p14213.html

xMin/xMax are the boundaries of the range in which the solver is
trying to find the correct discount factor.

However, it turns out the problem was much simpler.  It's the coupon
rates you're passing.
0.25 actually means 25%.  If you want a coupon of 0.25%, you'll need
to pass 0.0025; if you want a 3% coupon, pass 0.03.  With coupons of
the correct magnitude, your curve will bootstrap correctly (right now
it's try to match a coupon of 75% with a price of 100.3594, and not
surprisingly it fails).

Luigi

On Tue, Apr 16, 2013 at 6:37 AM, song xu <[hidden email]> wrote:

> Really appreciate your response.
>
> The QL_NEGATIVE_RATES was enabled in ql/userconfig.hpp. I am using VS2010.
>
> I am running the debug, here are the value of the variables:
> fxMin_=-60.717
> fxMax_=-449.269
> xMin_=0.03742
> xMAX_=2.22055
>
> Do those values make sense? I wonder what exactly f is, a cost function?
> xMin/xMAX seems like horizon in years
>
> I just did the extrapolation with 5 yr T-note and in the process to make a
> sense of it.
>
> Thanks
> From: Luigi Ballabio <[hidden email]>
> To: hudsoncity <[hidden email]>
> Cc: QuantLib QuantLib <[hidden email]>
> Sent: Monday, April 15, 2013 3:27 AM
> Subject: Re: [Quantlib-users] error in building yieldtermstructure using
> T-Bills, T-Notes, and T-Bond
>
> Hello,
>     this usually points to a data problem; the bracketing error means
> that, given the previous nodes, the curve can't find a value of the
> 5-years forward that gives the bond price you quoted. What is the
> error message you're getting? (I mean, with xMin_ and the other
> variables filled in). That will give you the range that the curve is
> trying.  You can:
> - check that you're allowing negative rates.  This is the default in
> the most recent release, but you might be using an older one.  You can
> check ql/userconfig.hpp if you're using Windows or ql/config.hpp on
> other platforms; in either case, QL_NEGATIVE_RATES should be defined.
> You can also see it from the error message; if negative rates are not
> enabled, it will show 0 as the lower bound.
> - you can also try bootstrapping the curve without the 5-years node,
> enable extrapolation (after the curve is built, or it will give you
> the second error you got--you were trying to modify a curve which
> didn't exist yet) and try to price the 5-years bond.  This might give
> you an idea of how far your quote is from what the curve so far is
> implying; if they're too different, it might be likely that the 5-year
> node alone can't bring the price to the quoted one, no matter how the
> bootstrap process tries to move it.
>
> Luigi
>
>
> On Mon, Apr 15, 2013 at 5:06 AM, hudsoncity <[hidden email]> wrote:
>> Hi, I am new to QuantLib. I am trying to build Treasury Curve using
>> piecewiseYieldCurve by using T-Bills, T-Notes, and T-Bond. I am pretty
>> much
>> copied the code from bonds.cpp. It doesn't give the error with T-Bills
>> plus
>> 2 yr and 3yr term T-Notes. But once adding longer term T-Note or T-Bond,
>> it
>> gives error at line 202 of solver1d.hpp:
>>            QL_REQUIRE(fxMin_*fxMax_ < 0.0,
>>                        "root not bracketed: f["
>>                        << xMin_ << "," << xMax_ << "] -> ["
>>                        << std::scientific
>>                        << fxMin_ << "," << fxMax_ << "]");
>>
>> Here is the code:
>> int main(int, char* []) {
>>        try{
>>                boost::timer timer;
>>        std::cout << std::endl;
>>
>>                Calendar calendar =
>> UnitedStates(UnitedStates::GovernmentBond);;
>>                Date settlementDate(6, April, 2013);
>>                cout << "Is BD:" << calendar.isBusinessDay( settlementDate
>> ) << std::endl
>> ;
>>                cout << "Is Holiday :" << calendar.isHoliday(
>> settlementDate ) <<
>> std::endl ;
>>                cout << "Is Weekend :" << calendar.isWeekend( Saturday ) <<
>> std::endl;
>>                cout << "Is Last BD :" << calendar.isEndOfMonth(
>> settlementDate) <<
>> std::endl;
>>
>>                settlementDate = calendar.adjust(settlementDate);
>>
>>                Integer fixingDays = 1;
>>        Natural settlementDays = 1;
>>
>>        Date todaysDate = calendar.advance(settlementDate, -fixingDays,
>> Days);
>>        // nothing to do with Date::todaysDate
>>        Settings::instance().evaluationDate() = todaysDate;
>>
>>        std::cout << "Today: " << todaysDate.weekday()
>>        << ", " << todaysDate << std::endl;
>>
>>        std::cout << "Settlement date: " << settlementDate.weekday()
>>        << ", " << settlementDate << std::endl;
>>
>>                  // ZC rates for the short end
>>                  // use the quote in wsj:
>> http://online.wsj.com/mdc/public/page/2_3020-treasury.html#treasuryB
>>          Rate TB4WKsQuote=0.045;
>>          Rate TB13WKsQuote=0.065;
>>          Rate TB26WKSQuote=0.095;
>>                  Rate TB52WKSQuote=0.130;
>>
>>                  //pointer to the quote
>>          boost::shared_ptr TB4WKsRate(new SimpleQuote(TB4WKsQuote));
>>          boost::shared_ptr TB13WKsRate(new SimpleQuote(TB13WKsQuote));
>>          boost::shared_ptr TB26WKSRate(new SimpleQuote(TB26WKSQuote));
>>                  boost::shared_ptr TB52WKSRate(new
>> SimpleQuote(TB52WKSQuote));
>>
>>                  //Treasury securities use actual/actual day count
>> convention
>>                  DayCounter zcBondsDayCounter = ActualActual();
>>                  Date d1 (1,Oct ,2012);
>>                Date d2=d1 +2* Months ;
>>                std :: cout << " Days Between d1/ d2:"
>> <<zcBondsDayCounter.dayCount (d1
>> ,d2) << std :: endl ;
>>                std :: cout << " Year Fraction d1 /d2:"
>> <<zcBondsDayCounter.yearFraction (d1 ,d2) << std :: endl ;
>>
>>                //pointer to the instrument
>>          boost::shared_ptr<RateHelper> zc4WK(new DepositRateHelper(
>>                  Handle(TB4WKsRate),
>>                  4*Weeks, fixingDays,
>>                  calendar, ModifiedFollowing,
>>                  true, zcBondsDayCounter));
>>          boost::shared_ptr<RateHelper> zc13WK(new DepositRateHelper(
>>                  Handle(TB13WKsRate),
>>                  13*Weeks, fixingDays,
>>                  calendar, ModifiedFollowing,
>>                  true, zcBondsDayCounter));
>>          boost::shared_ptr<RateHelper> zc26WK(new DepositRateHelper(
>>                  Handle(TB26WKSRate),
>>                  26*Weeks, fixingDays,
>>                  calendar, ModifiedFollowing,
>>                  true, zcBondsDayCounter));
>>          boost::shared_ptr<RateHelper> zc52WK(new DepositRateHelper(
>>                  Handle(TB52WKSRate),
>>                  52*Weeks, fixingDays,
>>                  calendar, ModifiedFollowing,
>>                  true, zcBondsDayCounter));
>>
>>                  //set up the on the run bond
>>                          Real redemption = 100.0;
>>
>>        const Size numberOfBonds = 6;
>>
>>        Date issueDates[] = {
>>                Date (1, April, 2013),
>>                Date (15, March, 2013),
>>                Date (1, April, 2013),
>>                Date (1, April, 2013),
>>                Date (15, March, 2013),
>>                                Date (15, March, 2013)
>>        };
>>
>>        Date maturities[] = {
>>                Date (31, March, 2015),
>>                Date (15, March, 2016),
>>                Date (31, March, 2018),
>>                Date (31, March, 2020),
>>                Date (15, February, 2023),
>>                                Date (15, February, 2043)
>>        };
>>
>>        Real couponRates[] = {
>>                0.25,
>>                0.375,
>>                0.750,
>>                1.125 ,
>>                2.0,
>>                                3.125
>>        };
>>
>>        Real marketQuotes[] = {
>>                100.0391 ,
>>                100.1484 ,
>>                100.3594 ,
>>                100.1094 ,
>>                102.7422 ,
>>                                105.2422
>>                };
>>
>>                //pointer to the quote
>>        std::vector< boost::shared_ptr<SimpleQuote> > quote;
>>        for (Size i=0; i<numberOfBonds; i++) {
>>            boost::shared_ptr<SimpleQuote> cp(new
>> SimpleQuote(marketQuotes[i]));
>>            quote.push_back(cp);
>>        }
>>
>>                //pointer to the pointer of the quote
>>        RelinkableHandle quoteHandle[numberOfBonds];
>>        for (Size i=0; i<numberOfBonds; i++) {
>>            quoteHandle[i].linkTo(quote[i]);
>>        }
>>
>>        // Definition of the rate helpers
>>        std::vector<boost::shared_ptr<FixedRateBondHelper> >
>> bondsHelpers;
>>
>>                //pointer to the bond instruments
>>        for (Size i=0; i<numberOfBonds; i++) {
>>
>>            Schedule schedule(issueDates[i], maturities[i],
>> Period(Semiannual), UnitedStates(UnitedStates::GovernmentBond),
>>                    Unadjusted, Unadjusted, DateGeneration::Backward,
>> false);
>>
>>            boost::shared_ptr<FixedRateBondHelper> bondHelper(new
>> FixedRateBondHelper(
>>                    quoteHandle[i],
>>                    settlementDays,
>>                    100.0,
>>                    schedule,
>>                    std::vector<Rate>(1,couponRates[i]),
>>                    ActualActual(ActualActual::Bond),
>>                    Unadjusted,
>>                    redemption,
>>                    issueDates[i]));
>>
>>            bondsHelpers.push_back(bondHelper);
>>        }
>>
>>                  /*********************
>>          **  CURVE BUILDING **
>>          *********************/
>>          // ActualActual::ISDA ensures that 30 years is 30.0
>>          DayCounter termStructureDayCounter =
>> ActualActual(ActualActual::ISDA);
>>
>>                  double tolerance = 1.0e-15;
>>
>>          // A depo-bond curve
>>          std::vector<boost::shared_ptr<RateHelper> > bondInstruments;
>> //covers all types of bond
>>
>>                  //add T-bills to the bondInstruments vector for 4-52
>> weeks
>>          bondInstruments.push_back(zc4WK);
>>          bondInstruments.push_back(zc13WK);
>>          bondInstruments.push_back(zc26WK);
>>                  bondInstruments.push_back(zc52WK);
>>
>>                  bondInstruments.push_back(bondsHelpers[0]);
>> //2 yr T-Note
>>                  bondInstruments.push_back(bondsHelpers[1]);
>> //3 yr T-Note
>>                  bondInstruments.push_back(bondsHelpers[2]);
>> //5 yr T-Note, resulting
>> error
>>
>>                  //build the yieldtermstructure
>>        boost::shared_ptr<YieldTermStructure> bondDiscountingTermStructure(
>>                  new PiecewiseYieldCurve<Discount,LogLinear>(
>>                          settlementDate, bondInstruments,
>>                          termStructureDayCounter,
>>                          tolerance));
>>
>> ----------------
>> I saw in one thread that the similar problem solved by adding line
>> yieldtermstructure->enableExtrapolation();
>> I tried but it causes the error at line 88 of errors.cpp:
>>        throw std::runtime_error(format(file, line, function,
>>                                        "Boost assertion failed: " +
>>                                        std::string(expr)));
>>
>> Here is the code for invoking enableExtrapolation:
>>                  boost::shared_ptr<YieldTermStructure>
>> bondDiscountingTermStructure;
>>                  bondDiscountingTermStructure->enableExtrapolation();
>>
>>          bondDiscountingTermStructure =
>> boost::shared_ptr<YieldTermStructure> (
>>                  new
>> PiecewiseYieldCurve<Discount,LogLinear>(settlementDate,
>> bondInstruments,
>>                          termStructureDayCounter,tolerance));
>>
>> I have stuck on this issue for about a week. Your help will be really
>> appreciated.
>>
>>
>>
>>
>> --
>> View this message in context:
>> http://quantlib.10058.n7.nabble.com/error-in-building-yieldtermstructure-using-T-Bills-T-Notes-and-T-Bond-tp14209.html
>> Sent from the quantlib-users mailing list archive at Nabble.com.
>>
>>
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our toolset for easy data analysis & visualization. Get a free account!
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