Under Basel II, Expected Loss (EL) equates to the
Probability of Default (PD) times Loss Given Default (LGD)
times Exposure at Default (EAD), or in symbolic form:
In turn, we can expand each of these components further.
An FSA definition stipulates mortgage default (D) to be 180
days of arrears 11 as the guideline within retail exposures.
Using the 3Cs approach for default measures, we can set
conditional probability of default in Bayesian notation as:
Mortgage Type can refer to the three main market
segments of Prime, Near Prime and Sub-Prime but depends
on the Character result to determine which type is finally
applicable. The weighting parameters alpha , beta , and
gamma above, (always sum to one) will determine the
overall influence of the PD measurements for Character
and Capacity and Collateral For prime mortgages, one would expect Character to be
paramount. You would also expect to treat Collateral as
merely security underpinning the loan whilst Capacity would
have an influence somewhere in between these two
measures. However, under sub-prime mortgages Collateral
is paramount, and then Capacity in relative influence and
finally Character (as most applicants have had a chequered
credit history by simply qualifying for these types of loans).
We could therefore assume the following initial values for
the relative influence of these PD sub-parts:
As evidence of this view especially for the Collateral Sub-prime
component, we can examine the CML Repossession Risk
Review report. Authors Cunningham and Panell (2007) cite that
‖...the adverse credit loans in non-conforming RMBS have
substantially higher arrears rates than prime home -buyer
mortgages and the adverse credit sector accounts for a much
larger share of repossessions than its 5 -6% share of new lending
business. In a number of locations in London, the cumulative
repossession rates since issue on non-conforming RMBS portfolios
are around 5%, compared with the overall industry average for
2006 of 0.15%.‖ Therefore, for sub-prime or non-conforming
mortgages, given evidence of the readiness of the sector to
repossess properties, one therefore needs to over-emphasise
the Collateral component more so than the Character aspect
and Capacity could be set relatively equal regardless of the
mortgage type. Near-prime mortgages would also need to have
PD relative influences set within the risk extremes of prime
and sub-prime. You could also adjust the component part
values of alpha, beta and gamma to reflect the overall risk
appetite control and perhaps as part of the conditional PD
measure adjustments for more accurate reflection of the
current stage of the housing cycle. By way of practical
application, a typical specialist lender might have the following
segments within their mortgage portfolio : Sub-prime 60%,
Near Prime 20% and Prime 20%.
PD Character Measurement
For
it is possible to derive a PD measure of credit
character from a credit bureau score or by using an internal
application score (or even a combination of both). For an
initial risk-based pricing approach, the bureau or application
score is required. However, for any on -going risk adjustment
offers (for example, through a customer retention initiative), it
would be better to use a behavioural score and/or a bureau
score to derive the required PD. The use of mortgage bureau
scores have gained in popularity since 2000 with U.S. ones
being similar to U.K. bureaux except that less information is
recorded. According to Thomas et al. (2002), such scores will
rely upon the following general types of data:
1. Personal information (name; address; former address;
date of birth; name of current and former employers; and
identifiers: such as Social Security number in the U.S.)
2. Public record information (county court judgements;
bankruptcy; Involuntary agreements; and electoral roll
data)
3. Credit accounts history (type of account; credit limit;
payments up-to-date; arrears data and balances
outstanding)
4. Inquiries (type of credit grantors and date of inquiry)
5. Aggregated information (percent of houses at a postcode
with CCJs for example)