The A/R pattern is used in Reject
inference (as opposed to all performance inference) to understand how
any new decision process (usually a new acquisition model) compares
to the historical process. The idea is to look at a number of salient
dimensions, known to be important in predicting risk, and compare the
new process to the old process on these dimensions.
For example, if the historical process
accepted 80% of the applicants with no severe delinquencies and
accepted only 20% of the applicants with one severe DQ then we would
hope that the new process would accept more than 80% with no DQ and
fewer than 20% with one or more.
The following examples may help.
# Trade Lines
|
History
|
Proposed
|
|||||
#
|
Count
|
Accept
|
Reject
|
Accept %
|
Accept
|
Reject
|
Accept %
|
0-2 TL |
2,000
|
1,000
|
1,000
|
50%
|
500
|
1,500
|
25%
|
2-4 TL |
4,000
|
2,500
|
1,500
|
63%
|
2,200
|
1,800
|
55%
|
5-8 TL |
4,000
|
3,000
|
1,000
|
75%
|
3,600
|
700
|
90%
|
8+ |
3,000
|
2,500
|
500
|
83%
|
2,700
|
200
|
90%
|
Total |
13,000
|
9,000
|
4,000
|
69%
|
9,000
|
4,000
|
69%
|
In the above example we can see that in the historical pattern there was higher acceptance rate with more trade lines (breadth of credit experience). In the proposed pattern, the difference is even more dramatic.
# 30 Day DQ
|
History
|
Proposed
|
|||||
#
|
Counts
|
Accept
|
Reject
|
Accept %
|
Accept
|
Reject
|
Accept %
|
0 | 7,000 | 6,000 | 1,000 |
86%
|
6,100 | 900 |
87%
|
1 DQ | 4,000 | 2,700 | 1,300 |
68%
|
2,660 | 1,340 |
67%
|
2 DQ | 1,000 | 200 | 800 |
20%
|
150 | 850 |
15%
|
3+ DQ | 1,000 | 100 | 900 |
10%
|
90 | 910 |
9%
|
Total | 13,000 | 9,000 | 4,000 |
69%
|
9,000 | 4,000 |
69%
|
In the above example, we see that historically, the more DQ’s the fewer accepts. In the proposed process this pattern is a bit more exaggerated.
This pattern comparison should be done
for at least two variables in each of the major risk dimensions. (See
“Error: Reference source not found”)
The A/R pattern is based on the full
TTD population sampled during the development window, it includes the
booked loans, the rejects, and those that were accepted (approved)
but walked away (turned down the loan). The A/R history pattern looks
at those that were accepted and booked AND those that were accepted
and walked away vs. the rejects. This process does not look at the
Out of Time sample or any performance on the known (booked or active)
accounts.
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