Table Of ContentRisk-adjusted Lending Conditions
An Option Pricing Approach
Werner Rosenberger
Risk-adjusted Lending Conditions
WileyFinanceSeries
MeasuringMarketRisk
KevinDowd
AnIntroductiontoMarketRiskMeasurement
KevinDowd
BehavioualFinance
JamesMontier
AssetManagement:EquitiesDemystified
ShantaAcharya
AnIntroductiontoCapitalMarkets:Products,StrategiesParticipants
AndrewChisholm
HedgeFunds:MythsandLimits
Francois-SergeLhabitant
TheManager’sConciseGuidetoRisk
JihadSNader
SecuritiesOperations:AGuidetoTradeandPositionManagement
MichaelSimmons
Modelling,MeasuringandHedgingOperationalRisk
MarceloCruz
MonteCarloMethodsinFinance
PeterJa¨ckel
BuildingandUsingDynamicInterestRateModels
KenKortanekandVladimirMedvedev
StructuredEquityDerivatives:TheDefinitiveGuidetoExoticOptionsandStructuredNotes
HarryKat
AdvancedModellinginFinanceUsingExcelandVBA
MaryJacksonandMikeStaunton
OperationalRisk:MeasurementandModelling
JackKing
Advance Credit Risk Analysis: Financial Approaches and Mathematical Models to Assess, Price and
ManageCreditRisk
DidierCossinandHuguesPirotte
DictionaryofFinancialEngineering
JohnF.Marshall
PricingFinancialDerivatives:TheFiniteDifferenceMethod
DomingoATavellaandCurtRandall
InterestRateModelling
JessicaJamesandNickWebber
HandbookofHybridInstruments:ConvertibleBonds,PreferredShares,Lyons,ELKS,DECSandOther
MandatoryConvertibleNotes
IzzyNelken(ed)
OptionsonForeignExchange,RevisedEdition
DavidFDeRosa
VolatilityandCorrelationinthePricingofEquity,FXandInterest-RateOptions
RiccardoRebonato
RiskManagementandAnalysisvol.1:MeasuringandModellingFinancialRisk
CarolAlexander(ed)
RiskManagementandAnalysisvol.2:NewMarketsandProducts
CarolAlexander(ed)
Interest-Rate Option Models: Understanding, Analysing and Using Models for Exotic Interest-Rate
Options(secondedition)
RiccardoRebonato
Risk-adjusted Lending Conditions
An Option Pricing Approach
Werner Rosenberger
Published2003by JohnWiley&SonsLtd,TheAtrium,SouthernGate,Chichester,
WestSussexPO198SQ,England
Telephone (+44)1243779777
Copyright(cid:1)C 2003WernerRobertRosenberger
FirsteditionpublishedinGermanbyPaulHauptVerlag,Berne,Switzerlandinpaperbackin2000
TranslatedbyChristopherMassy-Beresford,4VaughanAvenue,LondonW60XS
Email(forordersandcustomerserviceenquiries):[email protected]
VisitourHomePageonwww.wiley.co.ukorwww.wiley.com
AllRightsReserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemor
transmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningor
otherwise,exceptunderthetermsoftheCopyright,DesignsandPatentsAct1988orunderthetermsof
alicenceissuedbytheCopyrightLicensingAgencyLtd,90TottenhamCourtRoad,LondonW1P0LP,
UK,withoutthepermissioninwritingofthePublisher.RequeststothePublishershouldbeaddressedto
thePermissionsDepartment,JohnWiley&SonsLtd,BaffinsLane,Chichester,WestSunsexPO19
1UD,[email protected],orfaxedto(+44)1243770620.
Thispublicationisdesignedtoprovideaccurateandauthoritativeinformationinregardtothesubject
mattercovered.ItissoldontheunderstandingthatthePublisherisnotengagedinrendering
professionalservices.Ifprofessionaladviceorotherexpertassistanceisrequired,theservicesofa
competentprofessionalshouldbesought.
OtherWileyEditorialOffices
JohnWiley&SonsInc.,111RiverStreet,Hoboken,NJ07030,USA
Jossey-Bass,989MarketStreet,SanFrancisco,CA94103-1741,USA
Wiley-VCHVerlagGmbH,Pappelallee3,D-69469Weinheim,Germany
JohnWiley&SonsAustraliaLtd,33ParkRoad,Milton,Queensland4064,Australia
JohnWiley&Sons(Asia)PteLtd,2ClementiLoop#02-01,JinXingDistripark,Singapore129809
JohnWiley&SonsCanadaLtd,22WorcesterRoad,Etobicoke,Ontario,CanadaM9W1L1
Wileyalsopublishesitsbooksinavarietyofelectronicformats.Somecontentthatappearsinprint
maynotbeavailableinelectronicformat.
LibraryofCongressCataloging-in-PublicationData
Rosenberger,Werner.
[Risikoada¨quateKreditkonditionen.English]
Risk-adjustedlendingconditions:anoptionpricingapproach/WernerRosenberger;
[translatedbyChristopherMassy-Beresford].
p. cm.—(Wileyfinanceseries)
Includesbibliographicalreferencesandindex.
ISBN0-470-84752-2(alk.paper)
1.Option(Finance)—Prices—Mathematicalmodels.
2.Credit—Management—Mathematicalmodels. 3.Riskmanagement—Mathematical
models. I.Title. II.Series.
HG6024.A3R67 2002
332.1(cid:2)753(cid:2)0681—dc21 2002031125
BritishLibraryCataloguinginPublicationData
AcataloguerecordforthisbookisavailablefromtheBritishLibrary
ISBN0-470-84752-2
Typesetin10/12ptTimesbyTechBooks,NewDelhi,India
PrintedandboundinGreatBritainbyBiddlesLtd,GuildfordandKing’sLynn
Thisbookisprintedonacid-freepaperresponsiblymanufacturedfromsustainableforestry
inwhichatleasttwotreesareplantedforeachoneusedforpaperproduction.
For my family
Contents
Preface1 xiii
Preface2 xv
PartI Outline 1
1 Introduction 3
1.1 Theproblem 3
1.2 Narrowingthesubjectdown,settingtheobjectiveandsubdividingit 3
1.3 Theinsuranceconcept 5
1.4 Typesofprobleminthecontextofloanbusiness 7
1.5 Loaninterestratemodel 8
1.6 Modelforcalculatingrisksurcharge 9
1.7 Assumptions 11
1.8 Testingthemodel 12
1.9 Loanexposuremodels 13
1.9.1 Classicalmethods 14
1.9.2 Moderncreditriskanalysisbasedonfinancialtheory 14
1.9.3 Themodelpresentedhereseeninrelationtopreviousmodels 16
2 Ratingsystem 19
2.1 Theneedforaratingsystem 19
2.2 Definingshortfallriskintermsoffigures 20
2.3 Definingthecredit-worthinesskeyfigure 21
2.4 Exampleofaratingsystemintermsoffigures 21
2.5 Amplificationoftheratingsystemforverycompetitivemarkets 23
Description:In order to operate their lending business profitably, banks must know all the costs involved in granting loans. In particular, all the expenses they incur in covering losses must be included. Provided loan risks can be calculated, it is possible in each case to charge a price that is appropriately