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QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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Zero-coupon interest rate swap. More...
#include <ql/instruments/zerocouponswap.hpp>
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 Leg & | fixedLeg () const |
| just one cashflow in each leg | |
| const Leg & | floatingLeg () 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 Leg & | leg (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 Date & | valuationDate () const |
| returns the date the net present value refers to. | |
| template<typename T> | |
| 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 &) | |
| Observable & | operator= (const Observable &) |
| Observable (Observable &&)=delete | |
| Observable & | operator= (Observable &&)=delete |
| void | notifyObservers () |
| Public Member Functions inherited from Observer | |
| Observer (const Observer &) | |
| Observer & | operator= (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< Leg > | legs_ |
| std::vector< Real > | payer_ |
| std::vector< Real > | legNPV_ |
| std::vector< Real > | legBPS_ |
| std::vector< DiscountFactor > | startDiscounts_ |
| std::vector< DiscountFactor > | endDiscounts_ |
| DiscountFactor | npvDateDiscount_ |
| Protected Attributes inherited from Instrument | |
| Real | NPV_ |
| Real | errorEstimate_ |
| Date | valuationDate_ |
| std::map< std::string, ext::any > | additionalResults_ |
| ext::shared_ptr< PricingEngine > | engine_ |
| bool | calculated_ = false |
| bool | frozen_ = false |
| bool | alwaysForward_ |
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.