Tuesday, January 8, 2013

How do we construct the A/R table?

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This is best demonstrated by an example.

For the historical pattern, let’s take a search for new credit variable, for example, # of Inquiries in last 24 months with 5 bins 0 Inq, 1 Inq, 2-3, 4-5, and 6 or more. The final table is shown below:

# IQ 24 M History Proposed
Bin
Counts
Accepts
Reject
Accept %
Accepts
Reject
Accept %
0 2,000 1,700 300 85% 1,800 200 90%
1 4,000 3,500 500 88% 3,500 500 88%
2-3 4,000 3,000 1,000 75% 3,200 800 80%
4-5 3,000 2,000 1,000 67% 1,900 1,100 63%
6+ 2,000 1,000 1,000 50% 800 1,200 40%
Total 15,000 11,200 3,800 75% 11,200 3,800 75%

Here’s the explanation for this table. During the development time frame, we had 15,000 applicants, 11,200 were accepted and 3,800 were rejected for a 75% accept rate (it doesn’t matter how many were booked). 2,000 applicants had no inquiries and of those 300 were rejected. 4,000 had 1 inquiry and 500 of those were rejected, … . Basically, you need to a cross tab for each of the variables against the Accept/Reject flag. For the Proposed A/R, rank order the population by the new score and then assume that any account that is in the bottom 25% (historical reject rate) is a reject according to the proposed model and anything in the top 75% is an accept.

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