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Unified Financial Analysis Risk & Finance Lab. Chapter 5: Counterparty Willi Brammertz / Ioannis Akkizidis. Input elements Counterparties. Counterparty and Behavior. Counterparty has descriptive and modeling part Descriptive part Characteristics Hierarchies Links to financial contracts
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Unified Financial Analysis Risk & Finance Lab Chapter 5: Counterparty Willi Brammertz / Ioannis Akkizidis
Counterparty and Behavior • Counterparty has descriptive and modeling part • Descriptive part • Characteristics • Hierarchies • Links to financial contracts • Credit enhancements • Behavioral (statistical nature) • Probability of default • Recovery rates • Recovery patterns • Used at default
Descriptive part Data driven Well known facts
Descriptive DataCharacteristics • Name • Street • Income • .... • Target: PD
Descriptive DataInheritance to financial contracts Counter- party Contract 1 Contract 2 Contract n
Descriptive DataCredit enhancements • Credit enhancements are financial contracts itself • However: Special Role
Three steps to expected loss • Exposure at default EAD: Gross exposure – credit enhancements = EAD • Loss given default LGD:EAD * (1 - recovery rate) = LGD • Expected loss EL:LGD * probability of default = EL • Different data quality in each step: separation necessary • Rating agencies: mix the three steps (subprime) • PD‘s must reflect uncollateralized junior debt
Three steps to expected loss • Exposure at default EAD: Gross exposure – credit enhancements = EAD • Loss given default LGD:EAD * (1 - recovery rate) = LGD • Expected loss EL:LGD * probability of default = EL
Exposure PD Exposure and valuation!
Gross exposure • Description of counterparty: • Unique ID • Private: Age, gender, martial status etc. • Firms: Balance sheet ratios, turnover, profitability , market environment etc. • Hierarchies • Assets outstanding per counterparty • Goss exposure := Sum of all assets per “node”
EADCredit enhancements: Overview • Gross exposure • Credit enhancements • Net position := EAD
Credit enhancementsCollateral and Close out nettings • Financial collateral can be modeled as • Normal financial contracts • With a special role • Physical collateral can be modeled as commodity • Close out nettings is a relationship between asset and liability contracts of the same counterparty
Credit enhancementsGuarantees and Credit derivatives • Guarantee as special Contract Type • Guarantee is underlying of credit derivatives • Rating of guarantor must be higher than obligor • Exposure moves from obligor to guarantor • Credit default swaps are standardized guarantees • Double default! • Guarantees ,especially credit derivatives are non-life insurance products • Guarantors should model reserves (AIG?)
Credit lines Undrawn part has high probability of being drawn in case of default
Modeling part Model driven Quality difference with data driven part
Three steps to expected loss • Exposure at default EAD: Gross exposure – credit enhancements = EAD • Loss given default LGD:EAD * (1 - recovery rate) = LGD • Expected loss EL:LGD * probability of default = EL
Default sequence Default Recovery Exposure
Recovery rates • Gross recovery • Mingles collateral and recovery • To be avoided if possible • Net recovery • Recovery rates • Recovery patterns
Recovery rates • Based on historical experience • Single percentage number
Recovery pattern Recovery patterns
Three steps to expected loss • Exposure at default EAD: Gross exposure – credit enhancements = EAD • Loss given default LGD:EAD * (1 - recovery rate) = LGD • Expected loss EL:LGD * probability of default = EL
Credit rating • Rating is based on • Characteristics as given by descriptive data • Payment behavior (Scoring) • Internal • External • Ratings can be considered to be external • Rating agencies must become more independent of the rated company (e.g. Dodd-Frank, S&P being sued)
Credit ratingPitfalls • Rating vs. Probability of default • Rating and collateral: • Relationship not really clear • Often mingled • Ideally: Rating on uncollateralized junior debt • In this case: Rating corresponds to PD
Ratings and PD • Ratings must turn into probability of default • Different expressions • Scalar • Vector • Matrix (migration matrix)
Credit limits • Coarse but effective risk control instrument • Limits exposure on • Single counterparty • Industry • Region • Risk factors (FX limit, interest rate exposure...) • Etc. • Higher order limits usually < sum of lower order
Credit limitsExample of a system Industry 1 (1200)