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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*
Copyright (C) 2021 Marcin Rybacki
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/overnightindexedcoupon.hpp>
#include <ql/cashflows/iborcoupon.hpp>
#include <ql/cashflows/cashflows.hpp>
#include <ql/cashflows/simplecashflow.hpp>
#include <ql/experimental/termstructures/crosscurrencyratehelpers.hpp>
#include <ql/utilities/null_deleter.hpp>
#include <utility>
namespace QuantLib {
namespace {
Schedule legSchedule(const Date& evaluationDate,
const Period& tenor,
const Period& frequency,
Natural fixingDays,
const Calendar& calendar,
BusinessDayConvention convention,
bool endOfMonth) {
QL_REQUIRE(tenor >= frequency,
"XCCY instrument tenor should not be smaller than coupon frequency.");
Date referenceDate = calendar.adjust(evaluationDate);
Date earliestDate = calendar.advance(referenceDate, fixingDays * Days, convention);
Date maturity = earliestDate + tenor;
return MakeSchedule()
.from(earliestDate)
.to(maturity)
.withTenor(frequency)
.withCalendar(calendar)
.withConvention(convention)
.endOfMonth(endOfMonth)
.backwards();
}
Leg buildFloatingLeg(const Date& evaluationDate,
const Period& tenor,
Natural fixingDays,
const Calendar& calendar,
BusinessDayConvention convention,
bool endOfMonth,
const ext::shared_ptr<IborIndex>& idx,
Frequency paymentFrequency,
Integer paymentLag) {
auto overnightIndex = ext::dynamic_pointer_cast<OvernightIndex>(idx);
Period freqPeriod;
if (paymentFrequency == NoFrequency) {
QL_REQUIRE(!overnightIndex, "Require payment frequency for overnight indices.");
freqPeriod = idx->tenor();
} else {
freqPeriod = Period(paymentFrequency);
}
Schedule sch = legSchedule(evaluationDate, tenor, freqPeriod, fixingDays, calendar,
convention, endOfMonth);
if (overnightIndex != nullptr) {
return OvernightLeg(sch, overnightIndex)
.withNotionals(1.0)
.withPaymentLag(paymentLag);
}
return IborLeg(sch, idx).withNotionals(1.0).withPaymentLag(paymentLag);
}
std::pair<Real, Real>
npvbpsConstNotionalLeg(const Leg& iborLeg,
const Date& initialNotionalExchangeDate,
const Date& finalNotionalExchangeDate,
const Handle<YieldTermStructure>& discountCurveHandle) {
const Spread basisPoint = 1.0e-4;
Date refDt = discountCurveHandle->referenceDate();
const YieldTermStructure& discountRef = **discountCurveHandle;
bool includeSettleDtFlows = true;
auto [npv, bps] = CashFlows::npvbps(iborLeg, discountRef, includeSettleDtFlows, refDt, refDt);
// Include NPV of the notional exchange at start and maturity.
npv += (-1.0) * discountRef.discount(initialNotionalExchangeDate);
npv += discountRef.discount(finalNotionalExchangeDate);
bps /= basisPoint;
return { npv, bps };
}
class ResettingLegHelper {
public:
explicit ResettingLegHelper(const YieldTermStructure& discountCurve,
const YieldTermStructure& foreignCurve)
: discountCurve_(discountCurve), foreignCurve_(foreignCurve) {}
DiscountFactor discount(const Date& d) const {
return discountCurve_.discount(d);
}
Real notionalAdjustment(const Date& d) const {
return foreignCurve_.discount(d) / discountCurve_.discount(d);
}
private:
const YieldTermStructure& discountCurve_;
const YieldTermStructure& foreignCurve_;
};
class ResettingLegCalculator : public AcyclicVisitor, public Visitor<Coupon> {
public:
explicit ResettingLegCalculator(const YieldTermStructure& discountCurve,
const YieldTermStructure& foreignCurve,
Integer paymentLag,
Calendar paymentCalendar,
BusinessDayConvention convention)
: helper_(discountCurve, foreignCurve), paymentLag_(paymentLag),
paymentCalendar_(std::move(paymentCalendar)), convention_(convention) {}
void visit(Coupon& c) override {
Date start = c.accrualStartDate();
Date end = c.accrualEndDate();
Time accrual = c.accrualPeriod();
Real adjustedNotional = c.nominal() * helper_.notionalAdjustment(start);
DiscountFactor discountStart, discountEnd;
if (paymentLag_ == 0) {
discountStart = helper_.discount(start);
discountEnd = helper_.discount(end);
} else {
Date paymentStart =
paymentCalendar_.advance(start, paymentLag_, Days, convention_);
Date paymentEnd = paymentCalendar_.advance(end, paymentLag_, Days, convention_);
discountStart = helper_.discount(paymentStart);
discountEnd = helper_.discount(paymentEnd);
}
// NPV of a resetting coupon consists of a redemption of borrowed amount occurring
// at the end of the accrual period plus the accrued interest, minus the borrowed
// amount at the start of the period. All amounts are corrected by an adjustment
// corresponding to the implied forward exchange rate, which is estimated by
// the ratio of foreign and domestic curves discount factors.
Real npvRedeemedAmount =
adjustedNotional * discountEnd * (1.0 + c.rate() * accrual);
Real npvBorrowedAmount = -adjustedNotional * discountStart;
npv_ += (npvRedeemedAmount + npvBorrowedAmount);
bps_ += adjustedNotional * discountEnd * accrual;
}
Real NPV() const { return npv_; }
Real BPS() const { return bps_; }
private:
ResettingLegHelper helper_;
Real npv_ = 0.0;
Real bps_ = 0.0;
Integer paymentLag_;
Calendar paymentCalendar_;
BusinessDayConvention convention_;
};
std::pair<Real, Real> npvbpsResettingLeg(const Leg& iborLeg,
Integer paymentLag,
const Calendar& paymentCalendar,
BusinessDayConvention convention,
const Handle<YieldTermStructure>& discountCurveHandle,
const Handle<YieldTermStructure>& foreignCurveHandle) {
const YieldTermStructure& discountCurveRef = **discountCurveHandle;
const YieldTermStructure& foreignCurveRef = **foreignCurveHandle;
ResettingLegCalculator calc(discountCurveRef, foreignCurveRef, paymentLag,
paymentCalendar, convention);
for (const auto& i : iborLeg) {
CashFlow& cf = *i;
cf.accept(calc);
}
return { calc.NPV(), calc.BPS() };
}
}
CrossCurrencyBasisSwapRateHelperBase::CrossCurrencyBasisSwapRateHelperBase(
const Handle<Quote>& basis,
const Period& tenor,
Natural fixingDays,
Calendar calendar,
BusinessDayConvention convention,
bool endOfMonth,
ext::shared_ptr<IborIndex> baseCurrencyIndex,
ext::shared_ptr<IborIndex> quoteCurrencyIndex,
Handle<YieldTermStructure> collateralCurve,
bool isFxBaseCurrencyCollateralCurrency,
bool isBasisOnFxBaseCurrencyLeg,
Frequency paymentFrequency,
Integer paymentLag)
: RelativeDateRateHelper(basis), tenor_(tenor), fixingDays_(fixingDays),
calendar_(std::move(calendar)), convention_(convention), endOfMonth_(endOfMonth),
baseCcyIdx_(std::move(baseCurrencyIndex)), quoteCcyIdx_(std::move(quoteCurrencyIndex)),
collateralHandle_(std::move(collateralCurve)),
isFxBaseCurrencyCollateralCurrency_(isFxBaseCurrencyCollateralCurrency),
isBasisOnFxBaseCurrencyLeg_(isBasisOnFxBaseCurrencyLeg),
paymentFrequency_(paymentFrequency), paymentLag_(paymentLag) {
registerWith(baseCcyIdx_);
registerWith(quoteCcyIdx_);
registerWith(collateralHandle_);
CrossCurrencyBasisSwapRateHelperBase::initializeDates();
}
void CrossCurrencyBasisSwapRateHelperBase::initializeDates() {
baseCcyIborLeg_ = buildFloatingLeg(evaluationDate_, tenor_, fixingDays_, calendar_, convention_,
endOfMonth_, baseCcyIdx_, paymentFrequency_, paymentLag_);
quoteCcyIborLeg_ = buildFloatingLeg(evaluationDate_, tenor_, fixingDays_, calendar_,
convention_, endOfMonth_, quoteCcyIdx_, paymentFrequency_, paymentLag_);
earliestDate_ = std::min(CashFlows::startDate(baseCcyIborLeg_),
CashFlows::startDate(quoteCcyIborLeg_));
maturityDate_ = std::max(CashFlows::maturityDate(baseCcyIborLeg_),
CashFlows::maturityDate(quoteCcyIborLeg_));
if (paymentLag_ == 0) {
initialNotionalExchangeDate_ = earliestDate_;
finalNotionalExchangeDate_ = maturityDate_;
} else {
initialNotionalExchangeDate_ = calendar_.advance(earliestDate_, paymentLag_, Days, convention_);
finalNotionalExchangeDate_ = calendar_.advance(maturityDate_, paymentLag_, Days, convention_);
}
Date lastPaymentDate = std::max(baseCcyIborLeg_.back()->date(), quoteCcyIborLeg_.back()->date());
latestRelevantDate_ = latestDate_ = std::max(maturityDate_, lastPaymentDate);
}
const Handle<YieldTermStructure>&
CrossCurrencyBasisSwapRateHelperBase::baseCcyLegDiscountHandle() const {
QL_REQUIRE(!termStructureHandle_.empty(), "term structure not set");
QL_REQUIRE(!collateralHandle_.empty(), "collateral term structure not set");
return isFxBaseCurrencyCollateralCurrency_ ? collateralHandle_ : termStructureHandle_;
}
const Handle<YieldTermStructure>&
CrossCurrencyBasisSwapRateHelperBase::quoteCcyLegDiscountHandle() const {
QL_REQUIRE(!termStructureHandle_.empty(), "term structure not set");
QL_REQUIRE(!collateralHandle_.empty(), "collateral term structure not set");
return isFxBaseCurrencyCollateralCurrency_ ? termStructureHandle_ : collateralHandle_;
}
void CrossCurrencyBasisSwapRateHelperBase::setTermStructure(YieldTermStructure* t) {
// do not set the relinkable handle as an observer -
// force recalculation when needed
bool observer = false;
ext::shared_ptr<YieldTermStructure> temp(t, null_deleter());
termStructureHandle_.linkTo(temp, observer);
RelativeDateRateHelper::setTermStructure(t);
}
ConstNotionalCrossCurrencyBasisSwapRateHelper::ConstNotionalCrossCurrencyBasisSwapRateHelper(
const Handle<Quote>& basis,
const Period& tenor,
Natural fixingDays,
const Calendar& calendar,
BusinessDayConvention convention,
bool endOfMonth,
const ext::shared_ptr<IborIndex>& baseCurrencyIndex,
const ext::shared_ptr<IborIndex>& quoteCurrencyIndex,
const Handle<YieldTermStructure>& collateralCurve,
bool isFxBaseCurrencyCollateralCurrency,
bool isBasisOnFxBaseCurrencyLeg,
Frequency paymentFrequency,
Integer paymentLag)
: CrossCurrencyBasisSwapRateHelperBase(basis,
tenor,
fixingDays,
calendar,
convention,
endOfMonth,
baseCurrencyIndex,
quoteCurrencyIndex,
collateralCurve,
isFxBaseCurrencyCollateralCurrency,
isBasisOnFxBaseCurrencyLeg,
paymentFrequency,
paymentLag) {}
Real ConstNotionalCrossCurrencyBasisSwapRateHelper::impliedQuote() const {
auto [npvBaseCcy, bpsBaseCcy] = npvbpsConstNotionalLeg(baseCcyIborLeg_, initialNotionalExchangeDate_, finalNotionalExchangeDate_, baseCcyLegDiscountHandle());
auto [npvQuoteCcy, bpsQuoteCcy] = npvbpsConstNotionalLeg(quoteCcyIborLeg_, initialNotionalExchangeDate_, finalNotionalExchangeDate_, quoteCcyLegDiscountHandle());
Real bps = isBasisOnFxBaseCurrencyLeg_ ? -bpsBaseCcy : bpsQuoteCcy;
return -(npvQuoteCcy - npvBaseCcy) / bps;
}
void ConstNotionalCrossCurrencyBasisSwapRateHelper::accept(AcyclicVisitor& v) {
auto* v1 = dynamic_cast<Visitor<ConstNotionalCrossCurrencyBasisSwapRateHelper>*>(&v);
if (v1 != nullptr)
v1->visit(*this);
else
RateHelper::accept(v);
}
MtMCrossCurrencyBasisSwapRateHelper::MtMCrossCurrencyBasisSwapRateHelper(
const Handle<Quote>& basis,
const Period& tenor,
Natural fixingDays,
const Calendar& calendar,
BusinessDayConvention convention,
bool endOfMonth,
const ext::shared_ptr<IborIndex>& baseCurrencyIndex,
const ext::shared_ptr<IborIndex>& quoteCurrencyIndex,
const Handle<YieldTermStructure>& collateralCurve,
bool isFxBaseCurrencyCollateralCurrency,
bool isBasisOnFxBaseCurrencyLeg,
bool isFxBaseCurrencyLegResettable,
Frequency paymentFrequency,
Integer paymentLag)
: CrossCurrencyBasisSwapRateHelperBase(basis,
tenor,
fixingDays,
calendar,
convention,
endOfMonth,
baseCurrencyIndex,
quoteCurrencyIndex,
collateralCurve,
isFxBaseCurrencyCollateralCurrency,
isBasisOnFxBaseCurrencyLeg,
paymentFrequency,
paymentLag),
isFxBaseCurrencyLegResettable_(isFxBaseCurrencyLegResettable) {}
Real MtMCrossCurrencyBasisSwapRateHelper::impliedQuote() const {
Real npvBaseCcy = 0.0, bpsBaseCcy = 0.0;
Real npvQuoteCcy = 0.0, bpsQuoteCcy = 0.0;
if (isFxBaseCurrencyLegResettable_) {
std::tie(npvBaseCcy, bpsBaseCcy) =
npvbpsResettingLeg(baseCcyIborLeg_, paymentLag_, calendar_, convention_,
baseCcyLegDiscountHandle(), quoteCcyLegDiscountHandle());
std::tie(npvQuoteCcy, bpsQuoteCcy) =
npvbpsConstNotionalLeg(quoteCcyIborLeg_, initialNotionalExchangeDate_,
finalNotionalExchangeDate_, quoteCcyLegDiscountHandle());
} else {
std::tie(npvBaseCcy, bpsBaseCcy) =
npvbpsConstNotionalLeg(baseCcyIborLeg_, initialNotionalExchangeDate_,
finalNotionalExchangeDate_, baseCcyLegDiscountHandle());
std::tie(npvQuoteCcy, bpsQuoteCcy) = npvbpsResettingLeg(
quoteCcyIborLeg_, paymentLag_, calendar_, convention_,
quoteCcyLegDiscountHandle(), baseCcyLegDiscountHandle());
}
Real bps = isBasisOnFxBaseCurrencyLeg_ ? -bpsBaseCcy : bpsQuoteCcy;
return -(npvQuoteCcy - npvBaseCcy) / bps;
}
void MtMCrossCurrencyBasisSwapRateHelper::accept(AcyclicVisitor& v) {
auto* v1 = dynamic_cast<Visitor<MtMCrossCurrencyBasisSwapRateHelper>*>(&v);
if (v1 != nullptr)
v1->visit(*this);
else
RateHelper::accept(v);
}
}
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