Bonds.cpp

This example shows how to set up a term structure and then price some simple bonds. The last part is dedicated to peripherical computations such as yield-to-price or price-to-yield.

/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */

 
/*  This example shows how to set up a term structure and then price
    some simple bonds. The last part is dedicated to peripherical
    computations such as "Yield to Price" or "Price to Yield"
 */
 
#include <ql/qldefines.hpp>
#if !defined(BOOST_ALL_NO_LIB) && defined(BOOST_MSVC)
#  include <ql/auto_link.hpp>
#endif
#include <ql/instruments/bonds/zerocouponbond.hpp>
#include <ql/instruments/bonds/floatingratebond.hpp>
#include <ql/pricingengines/bond/discountingbondengine.hpp>
#include <ql/cashflows/couponpricer.hpp>
#include <ql/termstructures/yield/piecewiseyieldcurve.hpp>
#include <ql/termstructures/yield/bondhelpers.hpp>
#include <ql/termstructures/volatility/optionlet/constantoptionletvol.hpp>
#include <ql/indexes/ibor/euribor.hpp>
#include <ql/indexes/ibor/usdlibor.hpp>
#include <ql/time/calendars/target.hpp>
#include <ql/time/calendars/unitedstates.hpp>
#include <ql/time/daycounters/actualactual.hpp>
#include <ql/time/daycounters/actual360.hpp>
#include <ql/time/daycounters/thirty360.hpp>
 
#include <iostream>
#include <iomanip>
 
using namespace QuantLib;
 
int main(int, char* []) {
 
    try {
 
        std::cout << std::endl;
 
        Calendar calendar = TARGET();
 
        Date settlementDate(18, September, 2008);
 
        Integer settlementDays = 3;
 
        Date todaysDate = calendar.advance(settlementDate, -settlementDays, Days);
        Settings::instance().evaluationDate() = todaysDate;
 
        std::cout << "Today: " << todaysDate.weekday()
        << ", " << todaysDate << std::endl;
 
        std::cout << "Settlement date: " << settlementDate.weekday()
        << ", " << settlementDate << std::endl;
 
 
        /***************************************
         * BUILDING THE DISCOUNTING BOND CURVE *
         ***************************************/
 
        // RateHelpers are built from the quotes together with
        // other instrument-dependent info.  Quotes are passed in
        // relinkable handles which could be relinked to some other
        // data source later.
 
        // Note that bootstrapping might not be the optimal choice for
        // bond curves, since it requires to select a set of bonds
        // with maturities that are not too close.  For alternatives,
        // see the FittedBondCurve example.
 
        Real redemption = 100.0;
 
        const Size numberOfBonds = 5;
 
        Date issueDates[] = {
            Date(15, March, 2005),
            Date(15, June, 2005),
            Date(30, June, 2006),
            Date(15, November, 2002),
            Date(15, May, 1987)
        };
 
        Date maturities[] = {
            Date(31, August, 2010),
            Date(31, August, 2011),
            Date(31, August, 2013),
            Date(15, August, 2018),
            Date(15, May, 2038)
        };
 
        Real couponRates[] = {
            0.02375,
            0.04625,
            0.03125,
            0.04000,
            0.04500
        };
 
        Real marketQuotes[] = {
            100.390625,
            106.21875,
            100.59375,
            101.6875,
            102.140625
        };
 
        std::vector<ext::shared_ptr<SimpleQuote>> quote;
        for (Real marketQuote : marketQuotes) {
            quote.push_back(ext::make_shared<SimpleQuote>(marketQuote));
        }
 
        RelinkableHandle<Quote> quoteHandle[numberOfBonds];
        for (Size i=0; i<numberOfBonds; i++) {
            quoteHandle[i].linkTo(quote[i]);
        }
        
        std::vector<ext::shared_ptr<RateHelper>> bondHelpers;
 
        for (Size i=0; i<numberOfBonds; i++) {
 
            Schedule schedule(issueDates[i], maturities[i], Period(Semiannual), calendar,
                              Unadjusted, Unadjusted, DateGeneration::Backward, false);
 
            auto bondHelper = ext::make_shared<FixedRateBondHelper>(
                quoteHandle[i],
                settlementDays,
                100.0,
                schedule,
                std::vector<Rate>(1,couponRates[i]),
                ActualActual(ActualActual::Bond),
                Unadjusted,
                redemption,
                issueDates[i]);
 
            // the above could also be done by creating a
            // FixedRateBond instance and writing:
            //
            // auto bondHelper = ext::make_shared<BondHelper>(quoteHandle[i], bond);
            //
            // This would also work for bonds that still don't have a
            // specialized helper, such as floating-rate bonds.
 
            bondHelpers.push_back(bondHelper);
        }
 
        // The term structure uses its day counter internally to
        // convert between dates and times; it's not required to equal
        // the day counter of the bonds.  In fact, a regular day
        // counter is probably more appropriate.
 
        DayCounter termStructureDayCounter = Actual365Fixed();
 
        // The reference date of the term structure can be the
        // settlement date of the bonds (since, during pricing, it
        // won't be required to discount behind that date) but it can
        // also be today's date.  This allows one to calculate both
        // the price of the bond (based on the settlement date) and
        // the NPV, that is, the value as of today's date of holding
        // the bond and receiving its payments.
 
        auto bondDiscountingTermStructure = ext::make_shared<PiecewiseYieldCurve<Discount,LogLinear>>(
                         todaysDate, bondHelpers, termStructureDayCounter);
 
 
        /******************************************
         * BUILDING THE EURIBOR FORECASTING CURVE *
         ******************************************/
 
        // 6m deposit
        Rate d6mQuote=0.03385;
        // swaps, fixed vs 6m
        Rate s2yQuote=0.0295;
        Rate s3yQuote=0.0323;
        Rate s5yQuote=0.0359;
        Rate s10yQuote=0.0412;
        Rate s15yQuote=0.0433;
 
        auto d6mRate = ext::make_shared<SimpleQuote>(d6mQuote);
        auto s2yRate = ext::make_shared<SimpleQuote>(s2yQuote);
        auto s3yRate = ext::make_shared<SimpleQuote>(s3yQuote);
        auto s5yRate = ext::make_shared<SimpleQuote>(s5yQuote);
        auto s10yRate = ext::make_shared<SimpleQuote>(s10yQuote);
        auto s15yRate = ext::make_shared<SimpleQuote>(s15yQuote);
 
        // setup depo
        DayCounter depositDayCounter = Actual360();
        Natural fixingDays = 2;
 
        auto d6m = ext::make_shared<DepositRateHelper>(
                 Handle<Quote>(d6mRate),
                 6*Months, fixingDays,
                 calendar, ModifiedFollowing,
                 true, depositDayCounter);
 
        // setup swaps
        auto swFixedLegFrequency = Annual;
        auto swFixedLegConvention = Unadjusted;
        auto swFixedLegDayCounter = Thirty360(Thirty360::European);
        auto swFloatingLegIndex = ext::make_shared<Euribor6M>();
 
        auto s2y = ext::make_shared<SwapRateHelper>(
                 Handle<Quote>(s2yRate), 2*Years,
                 calendar, swFixedLegFrequency,
                 swFixedLegConvention, swFixedLegDayCounter,
                 swFloatingLegIndex);
        auto s3y = ext::make_shared<SwapRateHelper>(
                 Handle<Quote>(s3yRate), 3*Years,
                 calendar, swFixedLegFrequency,
                 swFixedLegConvention, swFixedLegDayCounter,
                 swFloatingLegIndex);
        auto s5y = ext::make_shared<SwapRateHelper>(
                 Handle<Quote>(s5yRate), 5*Years,
                 calendar, swFixedLegFrequency,
                 swFixedLegConvention, swFixedLegDayCounter,
                 swFloatingLegIndex);
        auto s10y = ext::make_shared<SwapRateHelper>(
                 Handle<Quote>(s10yRate), 10*Years,
                 calendar, swFixedLegFrequency,
                 swFixedLegConvention, swFixedLegDayCounter,
                 swFloatingLegIndex);
        auto s15y = ext::make_shared<SwapRateHelper>(
                 Handle<Quote>(s15yRate), 15*Years,
                 calendar, swFixedLegFrequency,
                 swFixedLegConvention, swFixedLegDayCounter,
                 swFloatingLegIndex);
 
        std::vector<ext::shared_ptr<RateHelper>> depoSwapInstruments;
        depoSwapInstruments.push_back(d6m);
        depoSwapInstruments.push_back(s2y);
        depoSwapInstruments.push_back(s3y);
        depoSwapInstruments.push_back(s5y);
        depoSwapInstruments.push_back(s10y);
        depoSwapInstruments.push_back(s15y);
 
        // The start of the curve can be today's date or spot, depending on your preferences.
        // Here we're picking spot (mostly because we picked today's date for the bond curve).
        Date spotDate = calendar.advance(todaysDate, fixingDays, Days);
        auto depoSwapTermStructure = ext::make_shared<PiecewiseYieldCurve<Discount, LogLinear>>(
                         spotDate, depoSwapInstruments,
                         termStructureDayCounter);
 
        /***********
         * PRICING *
         ***********/
        
        RelinkableHandle<YieldTermStructure> discountingTermStructure;
        RelinkableHandle<YieldTermStructure> forecastingTermStructure;
 
        // bonds to be priced
 
        // Common data
        Real faceAmount = 100;
 
        // Pricing engine
        auto bondEngine = ext::make_shared<DiscountingBondEngine>(discountingTermStructure);
 
        // Zero coupon bond
        ZeroCouponBond zeroCouponBond(
                 settlementDays,
                 TARGET(),
                 faceAmount,
                 Date(15,August,2013),
                 Following,
                 Real(116.92),
                 Date(15,August,2003));
 
        zeroCouponBond.setPricingEngine(bondEngine);
 
        // Fixed 4.5% bond
        Schedule fixedBondSchedule(
                 Date(15, May, 2007), Date(15,May,2017), Period(Annual),
                 TARGET(), Unadjusted, Unadjusted, DateGeneration::Backward, false);
 
        FixedRateBond fixedRateBond(
                 settlementDays,
                 faceAmount,
                 fixedBondSchedule,
                 std::vector<Rate>(1, 0.045),
                 ActualActual(ActualActual::Bond),
                 ModifiedFollowing,
                 100.0, Date(15, May, 2007));
 
        fixedRateBond.setPricingEngine(bondEngine);
 
        // Floating rate bond (6M Euribor + 0.1%)
 
        const auto euribor6m = ext::make_shared<Euribor>(Period(6, Months), forecastingTermStructure);
        euribor6m->addFixing(Date(18, October, 2007), 0.026);
        euribor6m->addFixing(Date(17, April, 2008), 0.028);
 
        Schedule floatingBondSchedule(
                 Date(21, October, 2005), Date(21, October, 2010), Period(Semiannual),
                 TARGET(), Unadjusted, Unadjusted, DateGeneration::Backward, true);
 
        FloatingRateBond floatingRateBond(
                 settlementDays,
                 faceAmount,
                 floatingBondSchedule,
                 euribor6m,
                 Actual360(),
                 ModifiedFollowing,
                 Natural(2),
                 // Gearings
                 std::vector<Real>(1, 1.0),
                 // Spreads
                 std::vector<Rate>(1, 0.001),
                 // Caps
                 std::vector<Rate>(),
                 // Floors
                 std::vector<Rate>(),
                 // Fixing in arrears
                 false,
                 Real(100.0),
                 Date(21, October, 2005));
 
        floatingRateBond.setPricingEngine(bondEngine);
 
        // Coupon pricers
        auto pricer = ext::make_shared<BlackIborCouponPricer>();
 
        // optionLet volatilities
        Volatility volatility = 0.0;
        Handle<OptionletVolatilityStructure> vol;
        vol = Handle<OptionletVolatilityStructure>(
                 ext::make_shared<ConstantOptionletVolatility>(
                                 settlementDays,
                                 calendar,
                                 ModifiedFollowing,
                                 volatility,
                                 Actual365Fixed()));
 
        pricer->setCapletVolatility(vol);
        setCouponPricer(floatingRateBond.cashflows(),pricer);
 
        forecastingTermStructure.linkTo(depoSwapTermStructure);
        discountingTermStructure.linkTo(bondDiscountingTermStructure);
 
        std::cout << std::endl;
 
        // write column headings
        Size widths[] = { 18, 10, 10, 10 };
 
        std::cout << std::setw(widths[0]) <<  "                 "
                  << std::setw(widths[1]) << "ZC"
                  << std::setw(widths[2]) << "Fixed"
                  << std::setw(widths[3]) << "Floating"
                  << std::endl;
 
        Size width = widths[0] + widths[1] + widths[2] + widths[3];
        std::string rule(width, '-');
 
        std::cout << rule << std::endl;
 
        std::cout << std::fixed;
        std::cout << std::setprecision(2);
 
        std::cout << std::setw(widths[0]) << "Net present value"
                  << std::setw(widths[1]) << zeroCouponBond.NPV()
                  << std::setw(widths[2]) << fixedRateBond.NPV()
                  << std::setw(widths[3]) << floatingRateBond.NPV()
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Clean price"
                  << std::setw(widths[1]) << zeroCouponBond.cleanPrice()
                  << std::setw(widths[2]) << fixedRateBond.cleanPrice()
                  << std::setw(widths[3]) << floatingRateBond.cleanPrice()
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Dirty price"
                  << std::setw(widths[1]) << zeroCouponBond.dirtyPrice()
                  << std::setw(widths[2]) << fixedRateBond.dirtyPrice()
                  << std::setw(widths[3]) << floatingRateBond.dirtyPrice()
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Accrued coupon"
                  << std::setw(widths[1]) << zeroCouponBond.accruedAmount()
                  << std::setw(widths[2]) << fixedRateBond.accruedAmount()
                  << std::setw(widths[3]) << floatingRateBond.accruedAmount()
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Previous coupon"
                  << std::setw(widths[1]) << "N/A" // zeroCouponBond
                  << std::setw(widths[2]) << io::rate(fixedRateBond.previousCouponRate())
                  << std::setw(widths[3]) << io::rate(floatingRateBond.previousCouponRate())
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Next coupon"
                  << std::setw(widths[1]) << "N/A" // zeroCouponBond
                  << std::setw(widths[2]) << io::rate(fixedRateBond.nextCouponRate())
                  << std::setw(widths[3]) << io::rate(floatingRateBond.nextCouponRate())
                  << std::endl;
 
        std::cout << std::setw(widths[0]) << "Yield"
                  << std::setw(widths[1])
                  << io::rate(zeroCouponBond.yield(Actual360(),Compounded,Annual))
                  << std::setw(widths[2])
                  << io::rate(fixedRateBond.yield(Actual360(),Compounded,Annual))
                  << std::setw(widths[3])
                  << io::rate(floatingRateBond.yield(Actual360(),Compounded,Annual))
                  << std::endl;
 
        std::cout << std::endl;
 
        // Other computations
        std::cout << "Sample indirect computations (for the floating rate bond): " << std::endl;
        std::cout << rule << std::endl;
 
        std::cout << "Yield to Clean Price: "
                  << floatingRateBond.cleanPrice(floatingRateBond.yield(Actual360(),Compounded,Annual),Actual360(),Compounded,Annual,settlementDate) << std::endl;
 
        std::cout << "Clean Price to Yield: "
                  << io::rate(floatingRateBond.yield({floatingRateBond.cleanPrice(), Bond::Price::Clean},
                                                     Actual360(), Compounded, Annual, settlementDate))
                  << std::endl
                  << std::endl;
 
         return 0;
 
    } catch (std::exception& e) {
        std::cerr << e.what() << std::endl;
        return 1;
    } catch (...) {
        std::cerr << "unknown error" << std::endl;
        return 1;
    }
}