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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
 
This final rule is intended to produce risk-based capital requirements that are more risk-sensitive than those produced under the agencies’ existing risk-based capital rules (general risk-based capital rules).
 
In particular, the IRB approach requires banks to assign risk parameters to wholesale exposures and retail segments and provides specific risk-based capital formulas that must be used to transform these risk parameters into risk based capital requirements.
 
The framework is based on “value-at-risk” (VaR) modeling techniques that measure credit risk and operational risk.
 
Because bank risk measurement practices are both continually evolving and subject to uncertainty, the framework should be viewed as an effort to improve the risk sensitivity of the risk-based capital requirements for banks, rather than as an effort to produce a statistically precise measurement of risk.
 
The framework’s conceptual foundation is based on the view that risk can be quantified through the estimation of specific characteristics of the probability distribution of potential losses over a given time horizon.
 
This approach assumes that a suitable estimate of that probability distribution, or at least of the specific characteristics to be measured, can be produced.
 
Figure 1 illustrates some of the key concepts associated with the framework.
 
The figure shows a probability distribution of potential losses associated with some time horizon (for example, one year).
 
It could reflect, for example, credit losses, operational losses, or other types of losses.
 
 
The area under the curve to the right of a particular loss amount is the probability of experiencing losses exceeding this amount within a given time horizon.
 
The figure also shows the statistical mean of the loss distribution, which is equivalent to the amount
of loss that is “expected” over the time horizon.
 
The concept of “expected loss” (EL) is distinguished from that of “unexpected loss” (UL), which represents potential losses over and above the EL amount.
 
A given level of UL can be defined by reference to a particular percentile threshold of the probability distribution.
 
For example, in the figure UL is measured at the 99.9th percentile level and thus is equal to the value of the loss distribution corresponding to the 99.9th percentile, less the amount of EL.
 
This is shown graphically at the bottom of the figure.
The particular percentile level chosen for the measurement of UL is referred to as the “confidence level” or the “soundness standard” associated with the measurement.
 
If capital is available to cover losses up to and including this percentile level, then the bank should remain solvent in the face of actual losses of that magnitude.
 
Typically, the choice of confidence level or soundness standard reflects a very high percentile level, so
that there is a very low estimated probability that actual losses would exceed the UL amount associated with that confidence level or soundness standard.
 
Assessing risk and assigning regulatory capital requirements by reference to a specific percentile of a probability distribution of potential losses is commonly referred to as a VaR approach.
 
Such an approach was adopted by the FDIC, Board, and OCC for assessing a bank’s risk-based capital requirements for market risk in 1996 (market risk rule).
 
Under the market risk rule, a bank’s own internal models are used to estimate the 99th percentile of the bank’s market risk loss distribution over a ten-business-day horizon.
The bank’s market risk capital requirement is based on this VaR estimate, generally multiplied by a factor of three.
 
The agencies implemented this multiplication factor to provide a prudential buffer for market volatility and modeling uncertainty.
 

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