QuantLib OpenOffice/Excel YIELD / PRICE functions

Question

Can somebody provide an example of how to replicate the Excel/OpenOffice YIELD and PRICE functions using QuantLib?

I have a few examples but I don't quite understand all the setup yet. When I try to change some values I either get zeros out or some nonsensical values. Ideally I'd like to create the c++ equivalent to the YIELD/PRICE functions.

In my first step I don't need to replicate the defects in the Excel date modelling. I can wait until later to produce an exact duplicate. Though if you know how that is also great.

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PRICE example, in OpenOffice:

PRICE("2008-02-15","2010-11-15",5%,7%,100,2,1) = 95.068419616675

My QuantLib code is capable of getting 95.066759 which is a bit off. At least I have the basic price function, I'd like to get an exact match for the results now.

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I can't easily include all the wrapping code, but the essential code is as follows.

#include <ql/time/calendar.hpp>
#include <ql/time/daycounters/actualactual.hpp>
#include <ql/time/daycounters/actual365fixed.hpp>
#include <ql/time/schedule.hpp>
#include <ql/time/calendars/unitedstates.hpp>
#include <ql/time/calendars/nullcalendar.hpp>

#include <ql/settings.hpp>
#include <ql/handle.hpp>
#include <ql/termstructures/yield/flatforward.hpp>
#include <ql/instruments/bonds/fixedratebond.hpp>

#include <ql/pricingengines/bond/discountingbondengine.hpp>
#include <ql/utilities/dataformatters.hpp>

#include <iostream>
#include <iomanip>

#include "boost/date_time/gregorian/gregorian.hpp"
using namespace QuantLib;

Date convert_date( boost::gregorian::date const & date )
{
    unsigned mon = date.month();
    return Date( date.day(), Month(mon), date.year() );
}

shared_ptr<Bond> create_bond( boost::gregorian::date const & settlement_, boost::gregorian::date const & maturity_,
    double coupon_, double yield_, double redemption_, unsigned frequency_ )
{
    // date set up
    //Calendar calendar = UnitedStates(UnitedStates::GovernmentBond);
    Calendar calendar = NullCalendar(); //small improvement

    Date settlementDate( convert_date( settlement_ ) );
    // the settlement date must be a business day
    settlementDate = calendar.adjust(settlementDate);

    Integer fixingDays = 0; //1;
    Natural settlementDays = 0; //1

    Date evalDate = calendar.advance(settlementDate, -fixingDays, Days);
    // Evaluation date (TODO: What should this actually be?)
    Settings::instance().evaluationDate() = evalDate;

    // bond set up
    Real faceAmount = 100;
    Real redemption = redemption_;
    Date issueDate( 1, January, 2001); //NOTE: shouldn't be relevant for price/yield calculations
    Date maturity( convert_date( maturity_ ) );
    Real couponRate = coupon_;
    Real yield = yield_;

    //ActualActual dayCounter( ActualActual::Bond );
    ActualActual dayCounter;
    //Actual365Fixed dayCounter;

    RelinkableHandle<YieldTermStructure> discountingTermStructure;
    boost::shared_ptr<YieldTermStructure> flatTermStructure(
        new FlatForward(
            settlementDate,
            yield,
            dayCounter,
            Compounded,
            Frequency( frequency_ ) ));
    discountingTermStructure.linkTo(flatTermStructure);

    boost::shared_ptr<PricingEngine> bondEngine(
        new DiscountingBondEngine(discountingTermStructure));

    Schedule fixedBondSchedule(
        issueDate,
        maturity,
        Period( Frequency( frequency_ ) ),
        calendar,
        Unadjusted,
        Unadjusted,
        DateGeneration::Backward,
        false /*EOM*/); //strangely makes no difference in our calculations

    boost::shared_ptr<Bond> fixedRateBond( new FixedRateBond(
        settlementDays,
        faceAmount,
        fixedBondSchedule,
        std::vector<Rate>(1, couponRate),
        dayCounter,
        Unadjusted,
        redemption) );

    fixedRateBond->setPricingEngine(bondEngine);
    return fixedRateBond;
}

//OpenOffice: PRICE("2008-02-15","2010-11-15",5%,7%,100,2,1)
double bond_price( boost::gregorian::date const & settlement_, boost::gregorian::date const & maturity_,
    double coupon_, double yield_, double redemption_, unsigned frequency_ )
{
    shared_ptr<Bond> bond( create_bond( settlement_, maturity_, coupon_, yield_, redemption_, frequency_ ) );
    return bond->cleanPrice();
}

//OpenOffice: PRICE("2008-02-15","2010-11-15",5%,7%,100,2,1)
double bond_yield( boost::gregorian::date const & settlement_, boost::gregorian::date const & maturity_,
    double coupon_, double price_, double redemption_, unsigned frequency_ )
{
    shared_ptr<Bond> bond( create_bond( settlement_, maturity_, coupon_, 0, redemption_, frequency_ ) );
    ActualActual dayCounter;
    return bond->yield( price_, dayCounter, Compounded, Frequency(frequency_) );
}

Answer 1

If you are interested in the implementation of the PRICE function in OpenOffice, you can see the code in the implementation of AnalysisAddIn::getPrice. This refers to the getPrice_ function in analysis helper.cxx. Maybe you find out what's happening there.

Note, that OpenGrok seems to be misconfigured here, so clicking on functions may not work. But I suppose you find all you need in the files in the directory /OOO340_m0/scaddins/source/analysis.