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Basel ii in the United States of America
From the Basel ii Compliance Professionals Association (BCPA), the largest association of Basel ii Professionals in the world
 
Final Rule, USA: Risk-Based Capital Standards: Advanced Capital Adequacy Framework — Basel II
 
Conceptual Overview
1. The IRB approach for credit risk
 
The conceptual foundation of this final rule’s approach to credit risk capital requirements is similar to the market risk rule’s approach to market risk capital requirements, in the sense that each is VaR-oriented.
 
Nevertheless, there are important differences between the IRB approach and the market risk rule.
 
The current market risk rule specifies a nominal confidence level of 99.0 percent and a ten-business-day horizon, but otherwise provides banks with substantial modeling flexibility in determining their market risk loss distribution and capital requirements.
 
In contrast, the IRB approach for assessing credit risk capital requirements is based on a 99.9 percent nominal confidence level, a one-year horizon, and a supervisory model of credit losses embodying particular assumptions about the underlying drivers of portfolio credit risk, including loss correlations among different asset types.
 
The IRB approach is broadly similar to the credit VaR approaches used by a number of banks as the basis for their internal assessment of the economic capital necessary to cover credit risk.
 
It is common for a bank’s internal credit risk models to consider a one-year loss horizon and to focus on a high loss threshold confidence level.
 
As with the internal credit VaR models used by banks, the output of the risk-based capital formulas in the IRB approach is an estimate of the amount of credit losses above ECL over a one-year horizon that would only be exceeded a small percentage of the time.
 
The agencies believe that a one-year horizon is appropriate because it balances the difficulty of easily or rapidly exiting non-trading positions against the possibility that in many cases a bank can cover credit losses by raising additional capital should the underlying credit problems manifest themselves gradually.
 
The nominal confidence level of the IRB riskbased capital formulas (99.9 percent) means that if all the assumptions in the IRB supervisory model for credit risk were correct for a bank, there would be less than a 0.1 percent probability that credit losses at the bank in any year would exceed the IRB riskbased
capital requirement.
 
As noted above, the supervisory model of credit risk underlying the IRB approach embodies specific assumptions about the economic drivers of portfolio credit risk at banks.
 
As with any modeling approach, these assumptions represent simplifications of very complex real-world phenomena and, at best, are only an approximation of the actual credit risks at any bank.
 
If these assumptions (described in greater detail below) are incorrect or otherwise do not characterize a given bank precisely, the actual confidence level implied by the IRB risk-based capital formulas may exceed or fall short of a true 99.9 percent confidence level.
 
In combination with other supervisory assumptions and parameters underlying the IRB approach, the approach’s 99.9 percent nominal confidence level reflects a judgmental pooling of available information, including supervisory experience.
 
The framework underlying this final rule reflects a desire on the part of the agencies to achieve
 
(i) risk-based capital requirements that are reflective of relative risk across different assets and that are broadly consistent with maintaining at least an investment grade rating (for example, at least BBB) on the liabilities funding those assets, even in periods of economic adversity; and
 
(ii) for the U.S. banking system as a whole, aggregate minimum regulatory capital requirements that are not a material reduction from the aggregate minimum regulatory capital requirements under the general risk-based capital rules.
 
A number of important explicit general assumptions and specific parameters are built into the IRB approach to make the framework applicable to a range of banks and to obtain tractable information for calculating risk-based capital requirements.
 
Chief among the assumptions embodied in the IRB approach are:
 
(i) assumptions that a bank’s credit portfolio is infinitely granular;
 
(ii) assumptions that loan defaults at a bank are driven by a single, systematic risk factor;
 
(iii) assumptions that systematic and non-systematic risk factors are log-normal random variables; and
 
(iv) assumptions regarding correlations among credit losses on various types of assets.
 
The specific risk-based capital formulas in this final rule require the bank to estimate certain risk parameters for its wholesale and retail exposures, which the bank may do using a variety of techniques.
 
These risk parameters are PD, LGD, exposure at default (EAD), and, for wholesale exposures, effective remaining maturity (M).
 
The proposed rule included an additional risk parameter, ELGD.
 
As discussed in section III.B.3. of the preamble, the agencies have eliminated the ELGD risk parameter from the final rule.
 
The risk-based capital formulas into which the estimated risk parameters are inserted are simpler than the economic capital methodologies typically employed by banks, which often require complex computer simulations.
 
In particular, an important property of the IRB risk-based capital formulas is portfolio invariance.
 
That is, the risk based capital requirement for a particular exposure generally does not depend on the
other exposures held by the bank.
 
Like the general risk-based capital rules, the total credit risk capital requirement for a bank’s wholesale and retail exposures is the sum of the credit risk capital requirements on individual wholesale exposures and segments of retail exposures.
 
The IRB risk-based capital formulas contain supervisory asset value correlation (AVC) factors, which have a significant impact on the capital requirements generated by the formulas.
 
The AVC assigned to a given portfolio of exposures is an estimate of the degree to which any unanticipated changes in the financial conditions of the underlying obligors of the exposures are correlated (that is, would likely move up and down together).
 
High correlation of exposures in a period of economic downturn conditions is an area of supervisory concern.
 
For a portfolio of exposures having the same risk parameters, a larger AVC implies less diversification within the portfolio, greater overall systematic risk, and, hence, a higher risk-based capital requirement.
 
For example, a 15 percent AVC for a portfolio of residential mortgage exposures would result in a lower
risk-based capital requirement than a 20 percent AVC and a higher risk-based capital requirement than a 10 percent AVC.
 
The AVCs that appear in the IRB risk-based capital formulas for wholesale exposures decline with increasing PD; that is, the IRB risk-based capital formulas generally imply that a group of low-PD wholesale exposures are more correlated than a group of high-PD wholesale exposures.
 
Thus, under the rule, a low-PD wholesale exposure would have a higher relative risk-based capital requirement than that implied by its PD were the AVC in the IRB risk-based capital formulas for wholesale exposures fixed rather than a decreasing function of PD.
 
The AVCs included in the IRB risk-based capital formulas for both wholesale and retail exposures reflect a combination of supervisory judgment and empirical evidence.
 
However, the historical data available for estimating correlations among retail exposures, particularly for non-mortgage retail exposures, was more limited than was the case with wholesale exposures.
 
As a result, supervisory judgment played a greater role. Moreover, the flat 15 percent AVC for residential mortgage exposures is based largely on supervisory experience with and analysis of traditional long-term, fixed-rate mortgages.
 
Several commenters stated that the proposed AVCs for wholesale exposures were too high in general, and a few claimed that, in particular, the AVCs for multi-family residential real estate exposures should be lower.
 
Other commenters suggested that the AVCs of wholesale exposures should be a function of obligor size rather than PD.
 
Similarly, several commenters maintained that the proposed AVCs for retail exposures were too high. Some of these commenters suggested that the AVCs for qualifying revolving exposures (QREs), such as credit cards, should be in the range of 1 to 2 percent, not 4 percent as proposed.
 
Similarly, some of those commenters opposed the proposed flat 15 percent AVC for residential mortgage exposures; one commenter suggested that the agencies should consider employing lower AVCs for home equity loans and lines of credit (HELOCs) to take into account their shorter maturity relative to
traditional mortgage exposures.
 
However, most commenters recognized that the proposed AVCs were consistent with those in the New Accord and recommended that the agencies use the AVCs contained in the New Accord to avoid international competitive inequity and unnecessary burden.
 
Several commenters suggested that the agencies should reconsider the AVCs going forward, working with the BCBS.
 
The agencies agree with the prevailing view of the commenters that using the AVCs in the New Accord alleviates a potential source of international inconsistency and implementation burden.
 
The final rule therefore maintains the proposed AVCs.
 
As the agencies gain more experience with the advanced approaches, they may revisit the AVCs for wholesale exposures and retail exposures, along with other calibration issues identified during the parallel run and transitional floor periods (as described below) and make changes to the rule as necessary.
 
The agencies would address this issue working with the BCBS and other supervisory and regulatory authorities, as appropriate.
 
Another important conceptual element of the IRB approach concerns the treatment of ECL.
 
The IRB approach assumes that reserves should cover ECL while capital should cover credit losses exceeding ECL (that is, unexpected credit losses).
 
Accordingly, the final rule, consistent with the proposal and the New Accord, removes ECL from the risk-weighted assets calculation but requires a bank to compare its ECL to its eligible credit reserves (as defined below).
 
If a bank’s ECL exceeds its eligible credit reserves, the bank must deduct the excess ECL amount 50 percent from tier 1 capital and 50 percent from tier 2 capital.
 
If a bank’s eligible credit reserves exceed its ECL, the bank may include the excess eligible credit reserves amount in tier 2 capital, up to 0.6 percent of the bank’s credit risk-weighted assets.
 
This treatment is intended to maintain a capital incentive to reserve prudently and ensure that ECL over a one-year horizon is covered either by reserves or capital.
 
This treatment also recognizes that prudent reserving that considers probable losses over the life of a loan may result in a bank holding reserves in excess of ECL measured with a one-year horizon.
 
The BCBS calibrated the 0.6 percent limit on inclusion of excess reserves in tier 2 capital to be approximately as restrictive as the existing cap on the inclusion of allowance for loan and lease losses (ALLL) under the 1988 Accord, based on data obtained in the BCBS’s Third Quantitative Impact Study (QIS-3).
 
In developing the New Accord, the BCBS sought broadly to maintain the current overall level of minimum risk-based capital requirements within the banking system.
 
Using data from QIS-3, the BCBS conducted an analysis of the risk-based capital requirements that would be generated under the New Accord.
 
Based on this analysis, the BCBS concluded that a “scaling factor” (multiplier) should apply to credit risk-weighted assets.
 
The BCBS, in the New Accord, indicated that the best estimate of the scaling factor was 1.06.
 
In May 2006, the BCBS decided to maintain the 1.06 scaling factor based on the results of a fourth quantitative impact study (QIS-4) conducted in some jurisdictions, including the United States, and a fifth quantitative impact study (QIS-5), not conducted in the United States.
 
The BCBS noted that national supervisory authorities will continue to monitor capital requirements during implementation of the New Accord, and that the BCBS, in turn, will monitor national experiences with the
framework.
 
The agencies generally agree with the BCBS regarding calibration of the New Accord.
 
Therefore, consistent with the New Accord and the proposed rule, the final rule contains a scaling factor of 1.06 for credit-risk-weighted assets.
 
As the agencies gain more experience with the advanced approaches, the agencies will revisit the scaling
factor along with other calibration issues identified during the parallel run and transitional floor periods (described below) and will make changes to the rule as necessary, working with the BCBS and other supervisory and regulatory authorities, as appropriate.
 

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