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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
Copyright (C) 2008, 2009 Jose Aparicio
Copyright (C) 2008 Roland Lichters
Copyright (C) 2008 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
<https://www.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 <ql/cashflows/fixedratecoupon.hpp>
#include <ql/cashflows/simplecashflow.hpp>
#include <ql/instruments/claim.hpp>
#include <ql/instruments/creditdefaultswap.hpp>
#include <ql/math/solvers1d/brent.hpp>
#include <ql/pricingengines/credit/isdacdsengine.hpp>
#include <ql/pricingengines/credit/midpointcdsengine.hpp>
#include <ql/quotes/simplequote.hpp>
#include <ql/termstructures/credit/flathazardrate.hpp>
#include <ql/termstructures/yieldtermstructure.hpp>
#include <ql/time/calendars/weekendsonly.hpp>
#include <ql/time/schedule.hpp>
#include <ql/optional.hpp>
#include <utility>
namespace QuantLib {
CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
Real notional,
Rate spread,
const Schedule& schedule,
BusinessDayConvention convention,
const DayCounter& dayCounter,
bool settlesAccrual,
bool paysAtDefaultTime,
const Date& protectionStart,
ext::shared_ptr<Claim> claim,
const DayCounter& lastPeriodDayCounter,
const bool rebatesAccrual,
const Date& tradeDate,
Natural cashSettlementDays)
: side_(side), notional_(notional), upfront_(ext::nullopt), runningSpread_(spread),
settlesAccrual_(settlesAccrual), paysAtDefaultTime_(paysAtDefaultTime),
claim_(std::move(claim)),
protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays) {
init(schedule, convention, dayCounter, lastPeriodDayCounter, rebatesAccrual);
}
CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
Real notional,
Rate upfront,
Rate runningSpread,
const Schedule& schedule,
BusinessDayConvention convention,
const DayCounter& dayCounter,
bool settlesAccrual,
bool paysAtDefaultTime,
const Date& protectionStart,
const Date& upfrontDate,
ext::shared_ptr<Claim> claim,
const DayCounter& lastPeriodDayCounter,
const bool rebatesAccrual,
const Date& tradeDate,
Natural cashSettlementDays)
: side_(side), notional_(notional), upfront_(upfront), runningSpread_(runningSpread),
settlesAccrual_(settlesAccrual), paysAtDefaultTime_(paysAtDefaultTime),
claim_(std::move(claim)),
protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays) {
init(schedule, convention, dayCounter, lastPeriodDayCounter, rebatesAccrual, upfrontDate);
}
void CreditDefaultSwap::init(const Schedule& schedule, BusinessDayConvention paymentConvention,
const DayCounter& dayCounter, const DayCounter& lastPeriodDayCounter,
bool rebatesAccrual, const Date& upfrontDate) {
QL_REQUIRE(!schedule.empty(), "CreditDefaultSwap needs a non-empty schedule.");
bool postBigBang = false;
if (schedule.hasRule()) {
DateGeneration::Rule rule = schedule.rule();
postBigBang = rule == DateGeneration::CDS || rule == DateGeneration::CDS2015;
}
if (!postBigBang) {
QL_REQUIRE(protectionStart_ <= schedule[0], "protection can not start after accrual");
}
leg_ = FixedRateLeg(schedule)
.withNotionals(notional_)
.withCouponRates(runningSpread_, dayCounter)
.withPaymentAdjustment(paymentConvention)
.withLastPeriodDayCounter(lastPeriodDayCounter);
// Deduce the trade date if not given.
if (tradeDate_ == Date()) {
if (postBigBang) {
tradeDate_ = protectionStart_;
} else {
tradeDate_ = protectionStart_ - 1;
}
}
// Deduce the cash settlement date if not given.
Date effectiveUpfrontDate = upfrontDate;
if (effectiveUpfrontDate == Date()) {
effectiveUpfrontDate = schedule.calendar().advance(tradeDate_,
cashSettlementDays_, Days, paymentConvention);
}
QL_REQUIRE(effectiveUpfrontDate >= protectionStart_,
"The cash settlement date must not be before the protection start date.");
// Create the upfront payment, if one is provided.
Real upfrontAmount = 0.0;
if (upfront_) // NOLINT(readability-implicit-bool-conversion)
upfrontAmount = *upfront_ * notional_;
upfrontPayment_ = ext::make_shared<SimpleCashFlow>(upfrontAmount, effectiveUpfrontDate);
// Set the maturity date.
maturity_ = schedule.dates().back();
// Deal with the accrual rebate. We use the standard conventions for accrual calculation introduced with the
// CDS Big Bang in 2009.
if (rebatesAccrual) {
Real rebateAmount = 0.0;
Date refDate = tradeDate_ + 1;
if (tradeDate_ >= schedule.dates().front()) {
for (Size i = 0; i < leg_.size(); ++i) {
const ext::shared_ptr<CashFlow>& cf = leg_[i];
if (refDate > cf->date()) {
// This coupon is in the past; check the next one
continue;
} else if (refDate == cf->date()) {
// This coupon pays at the reference date.
// If it's not the last coupon, the accrual is 0 so do nothing.
if (i < leg_.size() - 1)
rebateAmount = 0.0;
else {
// On last coupon
ext::shared_ptr<FixedRateCoupon> frc = ext::dynamic_pointer_cast<FixedRateCoupon>(cf);
rebateAmount = frc->amount();
}
break;
} else {
// This coupon pays in the future, and is the first coupon to do so (since they're sorted).
// Calculate the accrual and skip further coupons
ext::shared_ptr<FixedRateCoupon> frc = ext::dynamic_pointer_cast<FixedRateCoupon>(cf);
rebateAmount = frc->accruedAmount(refDate);
break;
}
}
}
accrualRebate_ = ext::make_shared<SimpleCashFlow>(rebateAmount, effectiveUpfrontDate);
}
if (!claim_)
claim_ = ext::make_shared<FaceValueClaim>();
registerWith(claim_);
}
Protection::Side CreditDefaultSwap::side() const {
return side_;
}
Real CreditDefaultSwap::notional() const {
return notional_;
}
Rate CreditDefaultSwap::runningSpread() const {
return runningSpread_;
}
ext::optional<Rate> CreditDefaultSwap::upfront() const {
return upfront_;
}
bool CreditDefaultSwap::settlesAccrual() const {
return settlesAccrual_;
}
bool CreditDefaultSwap::paysAtDefaultTime() const {
return paysAtDefaultTime_;
}
const Leg& CreditDefaultSwap::coupons() const {
return leg_;
}
bool CreditDefaultSwap::isExpired() const {
for (auto i = leg_.rbegin(); i != leg_.rend(); ++i) {
if (!(*i)->hasOccurred())
return false;
}
return true;
}
void CreditDefaultSwap::setupExpired() const {
Instrument::setupExpired();
fairSpread_ = fairUpfront_ = 0.0;
couponLegBPS_ = upfrontBPS_ = 0.0;
couponLegNPV_ = defaultLegNPV_ = upfrontNPV_ = 0.0;
}
void CreditDefaultSwap::setupArguments(
PricingEngine::arguments* args) const {
auto* arguments = dynamic_cast<CreditDefaultSwap::arguments*>(args);
QL_REQUIRE(arguments != nullptr, "wrong argument type");
arguments->side = side_;
arguments->notional = notional_;
arguments->leg = leg_;
arguments->upfrontPayment = upfrontPayment_;
arguments->accrualRebate = accrualRebate_;
arguments->settlesAccrual = settlesAccrual_;
arguments->paysAtDefaultTime = paysAtDefaultTime_;
arguments->claim = claim_;
arguments->upfront = upfront_;
arguments->spread = runningSpread_;
arguments->protectionStart = protectionStart_;
arguments->maturity = maturity_;
}
void CreditDefaultSwap::fetchResults(
const PricingEngine::results* r) const {
Instrument::fetchResults(r);
const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(r);
QL_REQUIRE(results != nullptr, "wrong result type");
fairSpread_ = results->fairSpread;
fairUpfront_ = results->fairUpfront;
couponLegBPS_ = results->couponLegBPS;
couponLegNPV_ = results->couponLegNPV;
defaultLegNPV_ = results->defaultLegNPV;
upfrontNPV_ = results->upfrontNPV;
upfrontBPS_ = results->upfrontBPS;
accrualRebateNPV_ = results->accrualRebateNPV;
}
Rate CreditDefaultSwap::fairUpfront() const {
calculate();
QL_REQUIRE(fairUpfront_ != Null<Rate>(),
"fair upfront not available");
return fairUpfront_;
}
Rate CreditDefaultSwap::fairSpread() const {
calculate();
QL_REQUIRE(fairSpread_ != Null<Rate>(),
"fair spread not available");
return fairSpread_;
}
Real CreditDefaultSwap::couponLegBPS() const {
calculate();
QL_REQUIRE(couponLegBPS_ != Null<Rate>(),
"coupon-leg BPS not available");
return couponLegBPS_;
}
Real CreditDefaultSwap::couponLegNPV() const {
calculate();
QL_REQUIRE(couponLegNPV_ != Null<Rate>(),
"coupon-leg NPV not available");
return couponLegNPV_;
}
Real CreditDefaultSwap::defaultLegNPV() const {
calculate();
QL_REQUIRE(defaultLegNPV_ != Null<Rate>(),
"default-leg NPV not available");
return defaultLegNPV_;
}
Real CreditDefaultSwap::upfrontNPV() const {
calculate();
QL_REQUIRE(upfrontNPV_ != Null<Real>(),
"upfront NPV not available");
return upfrontNPV_;
}
Real CreditDefaultSwap::upfrontBPS() const {
calculate();
QL_REQUIRE(upfrontBPS_ != Null<Real>(),
"upfront BPS not available");
return upfrontBPS_;
}
Real CreditDefaultSwap::accrualRebateNPV() const {
calculate();
QL_REQUIRE(accrualRebateNPV_ != Null<Real>(),
"accrual Rebate NPV not available");
return accrualRebateNPV_;
}
namespace {
class ObjectiveFunction {
public:
ObjectiveFunction(Real target,
SimpleQuote& quote,
PricingEngine& engine,
const CreditDefaultSwap::results* results)
: target_(target), quote_(quote),
engine_(engine), results_(results) {}
Real operator()(Real guess) const {
quote_.setValue(guess);
engine_.calculate();
return results_->value - target_;
}
private:
Real target_;
SimpleQuote& quote_;
PricingEngine& engine_;
const CreditDefaultSwap::results* results_;
};
}
Rate CreditDefaultSwap::impliedHazardRate(
Real targetNPV,
const Handle<YieldTermStructure>& discountCurve,
const DayCounter& dayCounter,
Real recoveryRate,
Real accuracy,
PricingModel model) const {
ext::shared_ptr<SimpleQuote> flatRate = ext::make_shared<SimpleQuote>(0.0);
Handle<DefaultProbabilityTermStructure> probability =
Handle<DefaultProbabilityTermStructure>(
ext::make_shared<FlatHazardRate>(0, WeekendsOnly(),
Handle<Quote>(flatRate), dayCounter));
ext::shared_ptr<PricingEngine> engine;
switch (model) {
case Midpoint:
engine = ext::make_shared<MidPointCdsEngine>(
probability, recoveryRate, discountCurve);
break;
case ISDA:
engine = ext::make_shared<IsdaCdsEngine>(
probability, recoveryRate, discountCurve,
ext::nullopt,
IsdaCdsEngine::Taylor,
IsdaCdsEngine::HalfDayBias,
IsdaCdsEngine::Piecewise);
break;
default:
QL_FAIL("unknown CDS pricing model: " << model);
}
setupArguments(engine->getArguments());
const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(engine->getResults());
ObjectiveFunction f(targetNPV, *flatRate, *engine, results);
//very close guess if targetNPV = 0.
Rate guess = runningSpread_ / (1 - recoveryRate) * 365./360.;
Real step = 0.1 * guess;
return Brent().solve(f, accuracy, guess, step);
}
Rate CreditDefaultSwap::conventionalSpread(
Real conventionalRecovery,
const Handle<YieldTermStructure>& discountCurve,
const DayCounter& dayCounter,
PricingModel model) const {
ext::shared_ptr<SimpleQuote> flatRate = ext::make_shared<SimpleQuote>(0.0);
Handle<DefaultProbabilityTermStructure> probability =
Handle<DefaultProbabilityTermStructure>(
ext::make_shared<FlatHazardRate>(0, WeekendsOnly(),
Handle<Quote>(flatRate), dayCounter));
ext::shared_ptr<PricingEngine> engine;
switch (model) {
case Midpoint:
engine = ext::make_shared<MidPointCdsEngine>(
probability, conventionalRecovery, discountCurve);
break;
case ISDA:
engine = ext::make_shared<IsdaCdsEngine>(
probability, conventionalRecovery, discountCurve,
ext::nullopt,
IsdaCdsEngine::Taylor,
IsdaCdsEngine::HalfDayBias,
IsdaCdsEngine::Piecewise);
break;
default:
QL_FAIL("unknown CDS pricing model: " << model);
}
setupArguments(engine->getArguments());
const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(engine->getResults());
ObjectiveFunction f(0., *flatRate, *engine, results);
Rate guess = runningSpread_ / (1 - conventionalRecovery) * 365./360.;
Real step = guess * 0.1;
Brent().solve(f, 1e-9, guess, step);
return results->fairSpread;
}
const Date& CreditDefaultSwap::protectionStartDate() const {
return protectionStart_;
}
const Date& CreditDefaultSwap::protectionEndDate() const {
return ext::dynamic_pointer_cast<Coupon>(leg_.back())
->accrualEndDate();
}
const ext::shared_ptr<SimpleCashFlow>& CreditDefaultSwap::upfrontPayment() const {
return upfrontPayment_;
}
const ext::shared_ptr<SimpleCashFlow>& CreditDefaultSwap::accrualRebate() const {
return accrualRebate_;
}
const Date& CreditDefaultSwap::tradeDate() const {
return tradeDate_;
}
Natural CreditDefaultSwap::cashSettlementDays() const {
return cashSettlementDays_;
}
CreditDefaultSwap::arguments::arguments()
: side(Protection::Side(-1)), notional(Null<Real>()),
spread(Null<Rate>()) {}
void CreditDefaultSwap::arguments::validate() const {
QL_REQUIRE(side != Protection::Side(-1), "side not set");
QL_REQUIRE(notional != Null<Real>(), "notional not set");
QL_REQUIRE(notional != 0.0, "null notional set");
QL_REQUIRE(spread != Null<Rate>(), "spread not set");
QL_REQUIRE(!leg.empty(), "coupons not set");
QL_REQUIRE(upfrontPayment, "upfront payment not set");
QL_REQUIRE(claim, "claim not set");
QL_REQUIRE(protectionStart != Date(), "protection start date not set");
QL_REQUIRE(maturity != Date(), "maturity date not set");
}
void CreditDefaultSwap::results::reset() {
Instrument::results::reset();
fairSpread = Null<Rate>();
fairUpfront = Null<Rate>();
couponLegBPS = Null<Real>();
couponLegNPV = Null<Real>();
defaultLegNPV = Null<Real>();
upfrontBPS = Null<Real>();
upfrontNPV = Null<Real>();
accrualRebateNPV = Null<Real>();
}
Date cdsMaturity(const Date& tradeDate, const Period& tenor, DateGeneration::Rule rule) {
QL_REQUIRE(rule == DateGeneration::CDS2015 || rule == DateGeneration::CDS || rule == DateGeneration::OldCDS,
"cdsMaturity should only be used with date generation rule CDS2015, CDS or OldCDS");
QL_REQUIRE(tenor.units() == Years || (tenor.units() == Months && tenor.length() % 3 == 0),
"cdsMaturity expects a tenor that is a multiple of 3 months.");
if (rule == DateGeneration::OldCDS) {
QL_REQUIRE(tenor != 0 * Months, "A tenor of 0M is not supported for OldCDS.");
}
Date anchorDate = previousTwentieth(tradeDate, rule);
if (rule == DateGeneration::CDS2015 && (anchorDate == Date(20, Dec, anchorDate.year()) ||
anchorDate == Date(20, Jun, anchorDate.year()))) {
if (tenor.length() == 0) {
return Date();
} else {
anchorDate -= 3 * Months;
}
}
Date maturity = anchorDate + tenor + 3 * Months;
QL_REQUIRE(maturity > tradeDate, "error calculating CDS maturity. Tenor is " << tenor << ", trade date is " <<
io::iso_date(tradeDate) << " generating a maturity of " << io::iso_date(maturity) << " <= trade date.");
return maturity;
}
}
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