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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
Copyright (C) 2003, 2004, 2007 StatPro Italia srl
This file is part of QuantLib, a free-software/open-source library
for financial quantitative analysts and developers - http://quantlib.org/
QuantLib is free software: you can redistribute it and/or modify it
under the terms of the QuantLib license. You should have received a
copy of the license along with this program; if not, please email
<quantlib-dev@lists.sf.net>. The license is also available online at
<http://quantlib.org/license.shtml>.
This program is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the license for more details.
*/
#include "toplevelfixture.hpp"
#include "utilities.hpp"
#include <ql/instruments/vanillaswap.hpp>
#include <ql/pricingengines/swap/discountingswapengine.hpp>
#include <ql/termstructures/yield/flatforward.hpp>
#include <ql/time/calendars/nullcalendar.hpp>
#include <ql/time/daycounters/thirty360.hpp>
#include <ql/time/daycounters/actual365fixed.hpp>
#include <ql/time/daycounters/simpledaycounter.hpp>
#include <ql/time/schedule.hpp>
#include <ql/indexes/ibor/euribor.hpp>
#include <ql/cashflows/iborcoupon.hpp>
#include <ql/cashflows/cashflowvectors.hpp>
#include <ql/termstructures/volatility/optionlet/constantoptionletvol.hpp>
#include <ql/utilities/dataformatters.hpp>
#include <ql/cashflows/cashflows.hpp>
#include <ql/cashflows/couponpricer.hpp>
#include <ql/currencies/europe.hpp>
using namespace QuantLib;
using namespace boost::unit_test_framework;
BOOST_FIXTURE_TEST_SUITE(QuantLibTests, TopLevelFixture)
BOOST_AUTO_TEST_SUITE(SwapTests)
struct CommonVars {
// global data
Date today, settlement;
Swap::Type type;
Real nominal;
Calendar calendar;
BusinessDayConvention fixedConvention, floatingConvention;
Frequency fixedFrequency, floatingFrequency;
DayCounter fixedDayCount;
ext::shared_ptr<IborIndex> index;
Natural settlementDays;
RelinkableHandle<YieldTermStructure> termStructure;
// utilities
ext::shared_ptr<VanillaSwap>
makeSwap(Integer length, Rate fixedRate, Spread floatingSpread, DateGeneration::Rule rule = DateGeneration::Forward) const {
Date maturity = calendar.advance(settlement,length,Years,
floatingConvention);
Schedule fixedSchedule(settlement,maturity,Period(fixedFrequency),
calendar,fixedConvention,fixedConvention, rule, false);
Schedule floatSchedule(settlement,maturity,
Period(floatingFrequency),
calendar,floatingConvention,
floatingConvention, rule, false);
ext::shared_ptr<VanillaSwap> swap(
new VanillaSwap(type, nominal,
fixedSchedule, fixedRate, fixedDayCount,
floatSchedule, index, floatingSpread,
index->dayCounter()));
swap->setPricingEngine(ext::shared_ptr<PricingEngine>(
new DiscountingSwapEngine(termStructure)));
return swap;
}
CommonVars() {
type = Swap::Payer;
settlementDays = 2;
nominal = 100.0;
fixedConvention = Unadjusted;
floatingConvention = ModifiedFollowing;
fixedFrequency = Annual;
floatingFrequency = Semiannual;
fixedDayCount = Thirty360(Thirty360::BondBasis);
index = ext::shared_ptr<IborIndex>(new
Euribor(Period(floatingFrequency), termStructure));
calendar = index->fixingCalendar();
today = calendar.adjust(Settings::instance().evaluationDate());
settlement = calendar.advance(today,settlementDays,Days);
termStructure.linkTo(flatRate(settlement,0.05,Actual365Fixed()));
}
};
BOOST_AUTO_TEST_CASE(testFairRate) {
BOOST_TEST_MESSAGE("Testing vanilla-swap calculation of fair fixed rate...");
CommonVars vars;
Integer lengths[] = { 1, 2, 5, 10, 20 };
Spread spreads[] = { -0.001, -0.01, 0.0, 0.01, 0.001 };
for (int& length : lengths) {
for (Real spread : spreads) {
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(length, 0.0, spread);
swap = vars.makeSwap(length, swap->fairRate(), spread);
if (std::fabs(swap->NPV()) > 1.0e-10) {
BOOST_ERROR("recalculating with implied rate:\n"
<< std::setprecision(2) << " length: " << length << " years\n"
<< " floating spread: " << io::rate(spread) << "\n"
<< " swap value: " << swap->NPV());
}
}
}
}
BOOST_AUTO_TEST_CASE(testFairSpread) {
BOOST_TEST_MESSAGE("Testing vanilla-swap calculation of "
"fair floating spread...");
CommonVars vars;
Integer lengths[] = { 1, 2, 5, 10, 20 };
Rate rates[] = { 0.04, 0.05, 0.06, 0.07 };
for (int& length : lengths) {
for (Real j : rates) {
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(length, j, 0.0);
swap = vars.makeSwap(length, j, swap->fairSpread());
if (std::fabs(swap->NPV()) > 1.0e-10) {
BOOST_ERROR("recalculating with implied spread:\n"
<< std::setprecision(2) << " length: " << length << " years\n"
<< " fixed rate: " << io::rate(j) << "\n"
<< " swap value: " << swap->NPV());
}
}
}
}
BOOST_AUTO_TEST_CASE(testRateDependency) {
BOOST_TEST_MESSAGE("Testing vanilla-swap dependency on fixed rate...");
CommonVars vars;
Integer lengths[] = { 1, 2, 5, 10, 20 };
Spread spreads[] = { -0.001, -0.01, 0.0, 0.01, 0.001 };
Rate rates[] = { 0.03, 0.04, 0.05, 0.06, 0.07 };
for (int& length : lengths) {
for (Real spread : spreads) {
// store the results for different rates...
std::vector<Real> swap_values;
for (Real rate : rates) {
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(length, rate, spread);
swap_values.push_back(swap->NPV());
}
// and check that they go the right way
auto it = std::adjacent_find(swap_values.begin(), swap_values.end(), std::less<>());
if (it != swap_values.end()) {
Size n = it - swap_values.begin();
BOOST_ERROR("NPV is increasing with the fixed rate in a swap: \n"
<< " length: " << length << " years\n"
<< " value: " << swap_values[n]
<< " paying fixed rate: " << io::rate(rates[n]) << "\n"
<< " value: " << swap_values[n + 1]
<< " paying fixed rate: " << io::rate(rates[n + 1]));
}
}
}
}
BOOST_AUTO_TEST_CASE(testSpreadDependency) {
BOOST_TEST_MESSAGE("Testing vanilla-swap dependency on floating spread...");
CommonVars vars;
Integer lengths[] = { 1, 2, 5, 10, 20 };
Rate rates[] = { 0.04, 0.05, 0.06, 0.07 };
Spread spreads[] = { -0.01, -0.002, -0.001, 0.0, 0.001, 0.002, 0.01 };
for (int& length : lengths) {
for (Real j : rates) {
// store the results for different spreads...
std::vector<Real> swap_values;
for (Real spread : spreads) {
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(length, j, spread);
swap_values.push_back(swap->NPV());
}
// and check that they go the right way
auto it =
std::adjacent_find(swap_values.begin(), swap_values.end(), std::greater<>());
if (it != swap_values.end()) {
Size n = it - swap_values.begin();
BOOST_ERROR("NPV is decreasing with the floating spread in a swap: \n"
<< " length: " << length << " years\n"
<< " value: " << swap_values[n]
<< " receiving spread: " << io::rate(spreads[n]) << "\n"
<< " value: " << swap_values[n + 1]
<< " receiving spread: " << io::rate(spreads[n + 1]));
}
}
}
}
BOOST_AUTO_TEST_CASE(testInArrears) {
BOOST_TEST_MESSAGE("Testing in-arrears swap calculation...");
CommonVars vars;
/* See Hull, 4th ed., page 550
Note: the calculation in the book is wrong (work out the
adjustment and you'll get 0.05 + 0.000115 T1)
*/
Date maturity = vars.today + 5*Years;
Calendar calendar = NullCalendar();
Schedule schedule(vars.today, maturity,Period(Annual),calendar,
Following,Following,
DateGeneration::Forward,false);
DayCounter dayCounter = SimpleDayCounter();
std::vector<Real> nominals(1, 100000000.0);
ext::shared_ptr<IborIndex> index(new IborIndex("dummy", 1*Years, 0,
EURCurrency(), calendar,
Following, false, dayCounter,
vars.termStructure));
Rate oneYear = 0.05;
Rate r = std::log(1.0+oneYear);
vars.termStructure.linkTo(flatRate(vars.today,r,dayCounter));
std::vector<Rate> coupons(1, oneYear);
Leg fixedLeg = FixedRateLeg(schedule)
.withNotionals(nominals)
.withCouponRates(coupons, dayCounter);
std::vector<Real> gearings;
std::vector<Rate> spreads;
Natural fixingDays = 0;
Volatility capletVolatility = 0.22;
Handle<OptionletVolatilityStructure> vol(
ext::shared_ptr<OptionletVolatilityStructure>(new
ConstantOptionletVolatility(vars.today, NullCalendar(), Following,
capletVolatility, dayCounter)));
ext::shared_ptr<IborCouponPricer> pricer(new
BlackIborCouponPricer(vol));
Leg floatingLeg = IborLeg(schedule, index)
.withNotionals(nominals)
.withPaymentDayCounter(dayCounter)
.withFixingDays(fixingDays)
.withGearings(gearings)
.withSpreads(spreads)
.inArrears();
setCouponPricer(floatingLeg, pricer);
Swap swap(floatingLeg,fixedLeg);
swap.setPricingEngine(ext::shared_ptr<PricingEngine>(
new DiscountingSwapEngine(vars.termStructure)));
Decimal storedValue = -144813.0;
Real tolerance = 1.0;
if (std::fabs(swap.NPV()-storedValue) > tolerance)
BOOST_ERROR("Wrong NPV calculation:\n"
<< " expected: " << storedValue << "\n"
<< " calculated: " << swap.NPV());
}
BOOST_AUTO_TEST_CASE(testCachedValue) {
BOOST_TEST_MESSAGE("Testing vanilla-swap calculation against cached value...");
bool usingAtParCoupons = IborCoupon::Settings::instance().usingAtParCoupons();
CommonVars vars;
vars.today = Date(17,June,2002);
Settings::instance().evaluationDate() = vars.today;
vars.settlement =
vars.calendar.advance(vars.today,vars.settlementDays,Days);
vars.termStructure.linkTo(flatRate(vars.settlement,0.05,Actual365Fixed()));
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(10, 0.06, 0.001);
if (swap->numberOfLegs() != 2)
BOOST_ERROR("failed to return correct number of legs:\n"
<< std::fixed << std::setprecision(12)
<< " calculated: " << swap->numberOfLegs() << "\n"
<< " expected: " << 2);
Real cachedNPV = usingAtParCoupons ? -5.872863313209 : -5.872342992212;
if (std::fabs(swap->NPV()-cachedNPV) > 1.0e-11)
BOOST_ERROR("failed to reproduce cached swap value:\n"
<< std::fixed << std::setprecision(12)
<< " calculated: " << swap->NPV() << "\n"
<< " expected: " << cachedNPV);
}
BOOST_AUTO_TEST_CASE(testThirdWednesdayAdjustment) {
BOOST_TEST_MESSAGE("Testing third-Wednesday adjustment...");
CommonVars vars;
ext::shared_ptr<VanillaSwap> swap = vars.makeSwap(1, 0.0, -0.001, DateGeneration::ThirdWednesdayInclusive);
if (swap->floatingSchedule().startDate() != Date(16, September, 2015)) {
BOOST_ERROR("Wrong Start Date " << swap->floatingSchedule().startDate());
}
if (swap->floatingSchedule().endDate() != Date(21, September, 2016)) {
BOOST_ERROR("Wrong End Date " << swap->floatingSchedule().endDate());
}
}
BOOST_AUTO_TEST_CASE(testNotifications) {
BOOST_TEST_MESSAGE("Testing cash-flow notifications for vanilla swap...");
CommonVars vars;
Date spot = vars.calendar.advance(vars.today, 2*Days);
Real nominal = 100000.0;
Schedule schedule = MakeSchedule()
.from(spot)
.to(vars.calendar.advance(spot, 2*Years))
.withCalendar(vars.calendar)
.withFrequency(Semiannual);
RelinkableHandle<YieldTermStructure> forecast_handle;
forecast_handle.linkTo(flatRate(0.02, Actual365Fixed()));
RelinkableHandle<YieldTermStructure> discount_handle;
discount_handle.linkTo(flatRate(0.02, Actual365Fixed()));
auto index = ext::make_shared<Euribor6M>(forecast_handle);
auto swap = ext::make_shared<VanillaSwap>(Swap::Payer,
nominal,
schedule,
0.03,
Actual365Fixed(),
schedule,
index,
0.0,
Actual365Fixed());
swap->setPricingEngine(ext::make_shared<DiscountingSwapEngine>(discount_handle));
swap->NPV();
Flag flag;
flag.registerWith(swap);
flag.lower();
forecast_handle.linkTo(flatRate(0.03, Actual365Fixed()));
if (!flag.isUp())
BOOST_FAIL("swap was not notified of curve change");
}
BOOST_AUTO_TEST_SUITE_END()
BOOST_AUTO_TEST_SUITE_END()
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