[PDF] [PDF] When investing in credit, the question “How do I measure how much

The answer might include duration, average credit rating, tracking error A company rated 'A' might Many tail measures calculate a VaR 12(Value at Risk)



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MEASURING CREDIT PORTFOLIO RISK

Dr Leah Kelly, Colonial First State Global Asset Management

Colonial First State Investments

atRisk(VaR) thetrueriskprofileofcreditinvestments. riskandpromotesapushfora welldocumentedandfirmlyestablished. 1

Creditrisk

may repaytheprincipalandinterestwhendue.

Whatisportfoliocreditrisk?

theborrowermightdefaultonits debt,measuredbyacreditrating2 ordefaultprobability 3 .Forstronginvestmentgradeborrowers defaults,runatadifferentlevel donotrunatahigherratethanexpected.

Underlyingcreditrisks;

Defaultcorrelations;and

Exposurepositions(concentrations).

Correlation

4 canoccurinclusters,such asthetelecomequipmentsector 5 inEuropeortheoilandgasindustry 6 defaultswilldirectlyimpactthe losseffectontheportfolio.

Source:Moody's

ofbonds,whereas havehadadefaultrateof20%! themarketvalueofassets casewhereanissuemigrates investmentmaturitymatchestheirinvestment

0.00.20.40.60.81.01.21.4

1970 1975 1980 1985 1990 1995 2000 2005

Averagedefault

rate0.17%pa

Traditionalmeasuresofcreditrisk

Averagecreditrating

ofallthe 7 ;see,forexample,Ranson(2003).Ranson debtportfoliomanagement"isnota averageisameasureofcentral howwrongyoumightbe. 'A+'5,andsoon.Theportfoliocreditratingis 8

CreditRating*10yearcumulativehistorical

defaultprobability

AAA0.60%

AA0.78%

A1.24%

BBB3.63%

BB27.39%

B50.42%

Asaconsequence

outcome betweentheportfoliosissignificant.

Creditduration

9 (forfurtherdetails,seeFabozzi(2005)and basispointsifcreditspreadsweretowiden thesameamount.Toillustratethis,theuseof exactly10basispoints. While

Trackingerror

Trackingerror

10 ariskmeasure. tracking futurevolatilityofaportfolio'sexcess returnsbasedonhistoricaltrends. relativetothebenchmark.

Thisapproachhastwomajorflaws:

that atthedistribution.Recallthatanormal

However,themajordeficiency

notcapturethemigrationand riskwithinportfolios.

Bestpracticemeasuresofcreditrisk

Measuringtailrisk

tailrisk 11 includingMonte

Allthesetoolsallowthe

implicationsmustbeunderstood.

ManytailmeasurescalculateaVaR

12 995
howmanyofthe995years wouldwelosecloseto,butlessthan,$x? 13 Take bonds isequivalenttotheexpectedvalue.

Thetablebelowillustratesthescenarios:

10.0370100170

20.0290100190

30.0310070170

40.0210090190

50.9100100200

197.8.

eachscenario:

1 0.03 Ͳ28.91.1Ͳ27.8

2

0.02 Ͳ8.91.1Ͳ7.8

3 0.031.1Ͳ28.9Ͳ27.8

4 0.021.1Ͳ8.9Ͳ7.8

5 0.91.11.12.2

portfolioisgreaterthanthesumof portfolioisnotrecognisedunderVaR. maintain

Aproposedconsistent

measureoftailrisk(CVaR) 14 ,seeArtzner

VaR.CVaRisameasureofthetail,whichhelpsto

risk.Without thismeasureforthe followingreasons: appropriate.

Ameasureof20%doesmorethan

characteristicsofthedistribution. industryisconsistentinwhat distribution.

Arealexample

AUD2.5billion.

constructedtoreplicate exposureisthelargestholding.

Tracking

Issuers

53

Exposure

(bps)189

Exposure

(bps)740 4.31

CreditRatingBBB/BBB

Tracking

ExpectedLoss

15 (bps)14 Loss 16 (bps)175 year20%VaR(bps)92 year20%CVaR(bps) riskythanthebenchmark. 17 benchmark. trackingits

Summaryofriskmeasures

inthispaperand highlightstheirrelativeadvantages.

MeasureMeasureincorporates:

Default

probability

Concentration

effects to maturity of diversification

Extremeevent

risk ratingOXXXX

Credit

Tracking

errorOXOXX

VaROOOXX

CVaROOOOO

Conclusion

durationand measuring. measurementand, managementpractices.

REFERENCES

&Sons,Inc

Dynkin,L.,

7 th

Edition

2003

ENDNOTES

1

Manyexamplesexist,see:

Inc

DimitrisChorafas,"CreditDerivatives&The

2 andgivesabriefdescriptionofeach.

Assessment

Moody's

scale S&P&

Fitchscale

Extremely

Strong

AaaAAA

InvestmentGrade

VeryStrong

Aa1AA+

Aa2AA

Aa3AAͲ

Strong

A1A+ A2A

A3AͲ

Adequate

Baa1BBB+

Baa2BBB

Baa3BBBͲ

Ba1BB+

SpeculativeGradeorHighYield

Ba2BB

Ba3BBͲ

B1B+ B2B

B3BͲ

Currently

highly vulnerable /defaulted

Caa/DCCC/D

Distressed/Default

3 4 defaultingonanotherborrower 5

Issuers"February2002.Alsosee,Moody's

6 7quotesdbs_dbs17.pdfusesText_23