毕博上海银行咨询Final Deliverables Retailfinal.ppt
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1、Retail Scorecard Implementation:Recommended Approach,Contents,Retail Scorecard Implementation,cutoff 2 Score band:cutoff score band():Quick hit:,loan review,Establishing initial score cutoff:ConsiderationsIn theory,the scorecard cutoff should be set at that point where the marginal contribution of n
2、ew accounts obtained at the cutoff score is equal to the marginal cost of the bad accounts predicted at that probability level.There are two reasons why this theory,while valuable,must be tempered by other factors in current use:first,most banks are unable to precisely measure these values;second,it
3、 is also important to evaluate the rate at which the ratio of goods-to-bads is changing when establishing score cutoffs.By reviewing the odds ratio for accounts near the cutoff,the bank can determine where the odds ratio is dropping below the population odds for the entire scorecard.This will sugges
4、t where the returns from any additional analysis are unlikely.Finally,once the initial score cutoff is established,Hanvit will need to incorporate the improvement of the second score in its underwriting practice.,Retail Scorecard Implementation,cutoff:cutoff cutoff:1)2)cutoff cutoff odds ratio,odds
5、ratio odds ratio.cutoff,2.,Establishing initial score cutoff:MethodologyIdentify the initial cumulative probability of bads that is the desired risk management target(for example,no more than 3%likelihood of bads 60 days or more past due)and the associated score valueReview the rate of change of the
6、 ratio of goods-to-bads around that score value,and evaluate the impact on total volume.Compare the impact on total volume with the impact on overall portfolio delinquency.,Retail Scorecard Implementation,cutoff:(:60 3%),Adjusting for the second score strategyUse of the second score enables us to ha
7、rvest an additional number of goods at an acceptable levels of bads due to the additional probability information provided by the second score.When using a second score strategy,we need to consider the effects of the sequence in which the steps are applied:In a strictly sequential approach,modelers
8、generally advise to adjust the threshold of the first test downward in order to maximize the discrimination of the second test at the cutoff margin(that is,expand the grey zone).It is possible to develop a matrixed approach in which the second score and first score are explicitly considered in the e
9、stablishment of the initial cutoff margin.In effect,however,by using additional underwriting intervention on the grey zone accounts,these interactions should be able to be taken into account without complicating the automated strategy.,Retail Scorecard Implementation,2 2 2,cutoff 2 1.(,)cutoff 1 2.,
10、.,Identifying the score bandsEstimation of the score band ranges can be accomplished by using two complementary techniques to group score ranges with similar probability of default into the desired number of score bandsFirst,the points at which the cumulative probability changes by a given increment
11、(e.g.,.5%)are identifiedSecond,the odds ratio(probability that an account will default within that score range;the ratio of goods to bads within that score range)is computed and compared across the score bands.Finally,the change in odds ratio across the score bands is reviewed and adjustments are ma
12、de to ensure reasonably similar probabilities are grouped into bands.Two contiguous score bands should not have very similar odds ratios;this would suggest the bands should be re-analyzed to achieve a more uniform decline in probabilities between the bands.,Retail Scorecard Implementation,Score band
13、 score band 2,score band(:5%)odds ratio(;),score band score band odds ratio,band.score band odds ratio;band band,Establishment of loan limitsThe primary methodology for establishing loan limits in the United States is based upon the concept of the debt-to-income ratio.These ratios were first develop
14、ed in association with mortgage loans,and their use has expanded to include maximum limits based on combined mortgage and installment debt-to-income ratios.Mortgage debt-to-income ratios have come to include a ceiling on housing cost debt to income,plus total installment debt.Typically,housing cost
15、debt-to-income should not exceed 30%of a borrowers gross income,while installment debt should raise the total to a maximum of no more than 40%.It should be noted that these figures vary by institution,and have developed in an environment reflective of US housing costs,tax burden,and overall living c
16、osts.,Retail Scorecard Implementation,.mortgage loan,mortgage.Mortgage.30%,40%.,Establishment of loan limitsThese overall limits can be applied to develop general factors as follows:Debt-to-income ratio=(Interest rate*Limit)+(Amortization factor*Limit)IncomeDebt-to-income ratio=(IR+AF)Limit Income D
17、IR*Income=(IR+AF)Limit DIR*Income=Limit(before deducting other bank debt(IR+AF)and guarantees),Retail Scorecard Implementation,=(*)+(*)/(DIR)=(IR+AF)*/DIR*=(IR+AF)*(DIR*Income)/(IR+AF)=(),Establishment of loan limitsApplying this ratio to a mortgage loan with a maximum debt to income ratio of.30,an
18、8%rate,and 25-year amortization,for a consumer with an annual income of$45,000:.30*45,000=$112,500(.08+.04)Note that this is equal to approximately three times annual income,although our amortization factor is higher than usualSecured loans typically also have a secondary limit established by the va
19、lue of the collateral,generally 80%loan-to-value for a mortgage loan.To qualify for the above loan,the collateral would need to be worth:$112,500/.8=$140,625,Retail Scorecard Implementation,0.30,8%,25,$45,000 mortgage loan:(0.30*45,000)/(0.08+0.04)=$102,000,3 2.(mortgage loan 80%),$112,500/0.8=$140,
20、625.,Establishment of loan limitsApplying this ratio to an installment loan the same consumer,with an interest rate of 12%,an amortization factor of five years,and a maximum DIR of.10:.10*45,000=$14,000(.12+.20)Note that this amount can vary significantly depending on the amortization factor and int
21、erest rate assumption,Retail Scorecard Implementation,12%,5,DIR 0.10:(0.10*45,000)/(0.12+0.20)=$14,000,Application to the Hanvit score card:score cutoff and score bands-Unsecured/guaranteed scorecardCutoff is established based on combination of:Cumulative probability of desired risk management targe
22、tAdjustment for second score strategyOdds ratio bottom scoreband:8Improvement of second score:2:1Resultant odds ratio:16:1(population odds),Retail Scorecard Implementation,Score cutoff:350,Auto decline,Auto approval,Grey zone,Scorecard:scorecard cutoff score band-/scorecardCutoff 2 scoreband odd rat
23、io:82:2:1 odds ratio:16:1(odds),Application to the Hanvit score card:Limits-Unsecured/guaranteed scorecardLimits are established based on maximum debt-to-income ratio adjusted for required amortization as scores decreaseLimits for guaranteed loans will be based on the income and risk grade of the bo
24、rrower,not the guarantorMaximum limit:(DIR*Income)-Other bank debt-GuaranteesMaximum DIR=12%,Prime rate=10%Limits for new customers(no transaction history)should be set at no more than 75%of the maximum and increased based on satisfactory performance,Retail Scorecard Implementation,Scorecard:-/score
25、card:(DIR*)-DIR=12%,Prime rate=10%()75%,.,Application to the Hanvit score card:Pricing-Unsecured/guaranteed scorecardPricing is based on a base rate,expense factor,risk factor,and product adjustment Note:at this time,base rate,expense factor and adjustment factor are incorporated into base ratePrici
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