QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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ZeroCouponSwap Class Reference

Zero-coupon interest rate swap. More...

#include <ql/instruments/zerocouponswap.hpp>

Inheritance diagram for ZeroCouponSwap:

Public Member Functions

 ZeroCouponSwap (Type type, Real baseNominal, const Date &startDate, const Date &maturityDate, Real fixedPayment, ext::shared_ptr< IborIndex > iborIndex, const Calendar &paymentCalendar, BusinessDayConvention paymentConvention=Following, Natural paymentDelay=0)
 ZeroCouponSwap (Type type, Real baseNominal, const Date &startDate, const Date &maturityDate, Rate fixedRate, const DayCounter &fixedDayCounter, ext::shared_ptr< IborIndex > iborIndex, const Calendar &paymentCalendar, BusinessDayConvention paymentConvention=Following, Natural paymentDelay=0)
Inspectors
Type type () const
 "payer" or "receiver" refer to the fixed leg.
Real baseNominal () const
Date startDate () const override
Date maturityDate () const override
const ext::shared_ptr< IborIndex > & iborIndex () const
const LegfixedLeg () const
 just one cashflow in each leg
const LegfloatingLeg () const
 just one cashflow in each leg
Real fixedPayment () const
Public Member Functions inherited from Swap
void deepUpdate () override
Size numberOfLegs () const
const std::vector< Leg > & legs () const
Real legBPS (Size j) const
Real legNPV (Size j) const
DiscountFactor startDiscounts (Size j) const
DiscountFactor endDiscounts (Size j) const
DiscountFactor npvDateDiscount () const
const Legleg (Size j) const
bool payer (Size j) const
bool isExpired () const override
 returns whether the instrument might have value greater than zero.
void setupArguments (PricingEngine::arguments *) const override
void fetchResults (const PricingEngine::results *) const override
 Swap (const Leg &firstLeg, const Leg &secondLeg)
 Swap (const std::vector< Leg > &legs, const std::vector< bool > &payer)
Public Member Functions inherited from Instrument
Real NPV () const
 returns the net present value of the instrument.
Real errorEstimate () const
 returns the error estimate on the NPV when available.
const DatevaluationDate () const
 returns the date the net present value refers to.
template<typename T>
result (const std::string &tag) const
 returns any additional result returned by the pricing engine.
const std::map< std::string, ext::any > & additionalResults () const
 returns all additional result returned by the pricing engine.
void setPricingEngine (const ext::shared_ptr< PricingEngine > &)
 set the pricing engine to be used.
Public Member Functions inherited from LazyObject
void update () override
bool isCalculated () const
void forwardFirstNotificationOnly ()
void alwaysForwardNotifications ()
void recalculate ()
void freeze ()
void unfreeze ()
Public Member Functions inherited from Observable
 Observable (const Observable &)
Observableoperator= (const Observable &)
 Observable (Observable &&)=delete
Observableoperator= (Observable &&)=delete
void notifyObservers ()
Public Member Functions inherited from Observer
 Observer (const Observer &)
Observeroperator= (const Observer &)
std::pair< iterator, bool > registerWith (const ext::shared_ptr< Observable > &)
void registerWithObservables (const ext::shared_ptr< Observer > &)
Size unregisterWith (const ext::shared_ptr< Observable > &)
void unregisterWithAll ()

Results

Real fixedLegNPV () const
Real floatingLegNPV () const
Real fairFixedPayment () const
Rate fairFixedRate (const DayCounter &dayCounter) const

Additional Inherited Members

Public Types inherited from Swap
enum  Type { Receiver = -1 , Payer = 1 }
Public Types inherited from Observer
typedef set_type::iterator iterator
void setupExpired () const override
 Swap (Size legs)
Protected Member Functions inherited from Instrument
void calculate () const override
void performCalculations () const override
std::vector< Leglegs_
std::vector< Realpayer_
std::vector< ReallegNPV_
std::vector< ReallegBPS_
std::vector< DiscountFactorstartDiscounts_
std::vector< DiscountFactorendDiscounts_
DiscountFactor npvDateDiscount_
Protected Attributes inherited from Instrument
Real NPV_
Real errorEstimate_
Date valuationDate_
std::map< std::string, ext::any > additionalResults_
ext::shared_ptr< PricingEngineengine_
bool calculated_ = false
bool frozen_ = false
bool alwaysForward_

Detailed Description

Zero-coupon interest rate swap.

Quoted in terms of a known fixed cash flow \( N^{FIX} \) or a fixed rate \( R \), where:

\[N^{FIX} = N \left[ (1+R)^{\alpha(T_{0}, T_{K})}-1 \right] , \]

with \( \alpha(T_{0}, T_{K}) \) being the time fraction between the start date of the contract \( T_{0} \) and the end date \( T_{K} \) - according to a given day count convention. \( N \) is the base notional amount prior to compounding. The floating leg also pays a single cash flow \( N^{FLT} \), which value is determined by periodically averaging (e.g. every 6 months) interest rate index fixings. Assuming the use of compounded averaging the projected value of the floating leg becomes:

\[N^{FLT} = N \left[ \prod_{k=0}^{K-1} (1+\alpha(T_{k},T_{k+1}) L(T_{k},T_{k+1})) -1 \right], \]

where \( L(T_{i}, T_{j})) \) are interest rate index fixings for accrual period \( [T_{i}, T_{j}] \). For a par contract, it holds that:

\[P_n(0,T) N^{FIX} = P_n(0,T) N^{FLT} \]

where \( T \) is the final payment time, \( P_n(0,t) \) is the nominal discount factor at time \( t \).

At maturity the two single cashflows are swapped.

Note
we do not need Schedules on the legs because they use one or two dates only per leg. Those dates are not adjusted for potential non-business days. Only the payment date is subject to adjustment.

Member Function Documentation

◆ startDate()

Date startDate ( ) const
overridevirtual

Reimplemented from Swap.

◆ maturityDate()

Date maturityDate ( ) const
overridevirtual

Reimplemented from Swap.