QuantLib: a free/open-source library for quantitative finance
Reference manual - version 1.40
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ConstantLossModel< copulaPolicy > Class Template Reference

#include <ql/experimental/credit/constantlosslatentmodel.hpp>

Inheritance diagram for ConstantLossModel< copulaPolicy >:

Public Member Functions

 ConstantLossModel (const std::vector< std::vector< Real > > &factorWeights, const std::vector< Real > &recoveries, LatentModelIntegrationType::LatentModelIntegrationType integralType, const typename copulaPolicy::initTraits &ini=copulaPolicy::initTraits())
 ConstantLossModel (const Handle< Quote > &mktCorrel, const std::vector< Real > &recoveries, LatentModelIntegrationType::LatentModelIntegrationType integralType, Size nVariables, const typename copulaPolicy::initTraits &ini=copulaPolicy::initTraits())
Public Member Functions inherited from ConstantLossLatentmodel< copulaPolicy >
 ConstantLossLatentmodel (const std::vector< std::vector< Real > > &factorWeights, const std::vector< Real > &recoveries, LatentModelIntegrationType::LatentModelIntegrationType integralType, const initTraits &ini=initTraits())
 ConstantLossLatentmodel (const Handle< Quote > &mktCorrel, const std::vector< Real > &recoveries, LatentModelIntegrationType::LatentModelIntegrationType integralType, Size nVariables, const initTraits &ini=initTraits())
Real conditionalRecovery (const Date &d, Size iName, const std::vector< Real > &mktFactors) const
Real conditionalRecovery (Probability uncondDefP, Size iName, const std::vector< Real > &mktFactors) const
Real conditionalRecoveryInvP (Real invUncondDefP, Size iName, const std::vector< Real > &mktFactors) const
Real conditionalRecovery (Real latentVarSample, Size iName, const Date &d) const
const std::vector< Real > & recoveries () const
Real expectedRecovery (const Date &d, Size iName, const DefaultProbKey &defKeys) const
Public Member Functions inherited from DefaultLatentModel< copulaPolicy >
 DefaultLatentModel (const std::vector< std::vector< Real > > &factorWeights, LatentModelIntegrationType::LatentModelIntegrationType integralType, const initTraits &ini=initTraits())
 DefaultLatentModel (const Handle< Quote > &mktCorrel, Size nVariables, LatentModelIntegrationType::LatentModelIntegrationType integralType, const initTraits &ini=initTraits())
void resetBasket (const ext::shared_ptr< Basket > &basket) const
Probability conditionalDefaultProbability (Probability prob, Size iName, const std::vector< Real > &mktFactors) const
Probability conditionalDefaultProbabilityInvP (Real invCumYProb, Size iName, const std::vector< Real > &m) const
Probability probOfDefault (Size iName, const Date &d) const
Real defaultCorrelation (const Date &d, Size iNamei, Size iNamej) const
Probability probAtLeastNEvents (Size n, const Date &date) const
Public Member Functions inherited from LatentModel< copulaPolicy >
void update () override
Size size () const
Size numFactors () const
 Number of systemic factors.
Size numTotalFactors () const
 Number of total free random factors; systemic and idiosyncratic.
 LatentModel (const std::vector< std::vector< Real > > &factorsWeights, const typename copulaType::initTraits &ini=typename copulaType::initTraits())
const std::vector< std::vector< Real > > & factorWeights () const
 Provides values of the factors \( a_{i,k} \).
const std::vector< Real > & idiosyncFctrs () const
 Provides values of the normalized idiosyncratic factors \( Z_i \).
Real latentVariableCorrel (Size iVar1, Size iVar2) const
 Latent variable correlations:
Probability cumulativeY (Real val, Size iVariable) const
Probability cumulativeZ (Real z) const
 Cumulative distribution of Z, the idiosyncratic/error factors.
Probability density (const std::vector< Real > &m) const
 Density function of M, the market/systemic factors.
Real inverseCumulativeDensity (Probability p, Size iFactor) const
 Inverse cumulative distribution of the systemic factor iFactor.
Real inverseCumulativeY (Probability p, Size iVariable) const
Real inverseCumulativeZ (Probability p) const
std::vector< RealallFactorCumulInverter (const std::vector< Real > &probs) const
Real latentVarValue (const std::vector< Real > &allFactors, Size iVar) const
const copulaType & copula () const
Real integratedExpectedValue (const std::function< Real(const std::vector< Real > &v1)> &f) const
std::vector< RealintegratedExpectedValueV (const std::function< std::vector< Real >(const std::vector< Real > &v1)> &f) const
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 ()
virtual void deepUpdate ()
Public Member Functions inherited from Observable
 Observable (const Observable &)
Observableoperator= (const Observable &)
 Observable (Observable &&)=delete
Observableoperator= (Observable &&)=delete
void notifyObservers ()

Protected Member Functions

Real defaultCorrelation (const Date &d, Size iName, Size jName) const override
 Pearsons' default probability correlation.
Probability probAtLeastNEvents (Size n, const Date &d) const override
Real expectedRecovery (const Date &d, Size iName, const DefaultProbKey &k) const override
Protected Member Functions inherited from DefaultLatentModel< copulaPolicy >
void update () override
Probability conditionalDefaultProbability (const Date &date, Size iName, const std::vector< Real > &mktFactors) const
Probability condProbProduct (Real invCumYProb1, Real invCumYProb2, Size iName1, Size iName2, const std::vector< Real > &mktFactors) const
Real conditionalProbAtLeastNEvents (Size n, const Date &date, const std::vector< Real > &mktFactors) const
 Conditional probability of n default events or more.
const ext::shared_ptr< LMIntegration > & integration () const override
 access to integration:
virtual Real expectedTrancheLoss (const Date &d) const
virtual Probability probOverLoss (const Date &d, Real lossFraction) const
virtual Real percentile (const Date &d, Real percentile) const
 Value at Risk given a default loss percentile.
virtual Real expectedShortfall (const Date &d, Real percentile) const
 Expected shortfall given a default loss percentile.
virtual std::vector< RealsplitVaRLevel (const Date &d, Real loss) const
 Associated VaR fraction to each counterparty.
virtual std::vector< RealsplitESFLevel (const Date &d, Real loss) const
 Associated ESF fraction to each counterparty.
virtual std::map< Real, ProbabilitylossDistribution (const Date &) const
 Full loss distribution.
virtual Real densityTrancheLoss (const Date &d, Real lossFraction) const
 Probability density of a given loss fraction of the basket notional.
virtual std::vector< ProbabilityprobsBeingNthEvent (Size n, const Date &d) const

Additional Inherited Members

typedef copulaPolicy copulaType
Public Types inherited from Observer
typedef set_type::iterator iterator
Protected Attributes inherited from DefaultLatentModel< copulaPolicy >
ext::shared_ptr< Basketbasket_
ext::shared_ptr< LMIntegration > integration_
std::vector< std::vector< Real > > factorWeights_
Handle< QuotecachedMktFactor_
std::vector< RealidiosyncFctrs_
Size nFactors_
 Number of systemic factors.
Size nVariables_
 Number of latent model variables, idiosyncratic terms or model dim.
copulaType copula_
Protected Attributes inherited from DefaultLossModel
RelinkableHandle< Basketbasket_

Detailed Description

template<class copulaPolicy>
class QuantLib::ConstantLossModel< copulaPolicy >

ConstantLossLatentModel interface for loss models. While it does not provide distribution type losses (e.g. expected tranche losses) because it lacks an integration algorithm it serves to allow pricing of digital type products like NTDs.

Alternatively fuse with the aboves class.

Member Function Documentation

◆ defaultCorrelation()

template<class copulaPolicy>
Real defaultCorrelation ( const Date & d,
Size iName,
Size jName ) const
overrideprotectedvirtual

Pearsons' default probability correlation.

Reimplemented from DefaultLossModel.

◆ probAtLeastNEvents()

template<class copulaPolicy>
Probability probAtLeastNEvents ( Size n,
const Date & d ) const
overrideprotectedvirtual

Returns the probaility of having a given or larger number of defaults in the basket portfolio at a given time.

Reimplemented from DefaultLossModel.

◆ expectedRecovery()

template<class copulaPolicy>
Real expectedRecovery ( const Date & ,
Size iName,
const DefaultProbKey &  ) const
overrideprotectedvirtual

Expected RR for name conditinal to default by that date.

Reimplemented from DefaultLossModel.