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Why Risk-Weighted Assets Matter More Than Average Risk Weights

Article Quant Q&A · Author: maj3r

Summary

The discussion clarifies the relationship between exposure at default (EAD), risk weight (RW), and risk-weighted assets (RWA). In the described banking context, EAD and a customer-specific risk weight are inputs used to calculate RWA. Risk weights can reflect credit ratings, while RWA is the resulting measure associated with a customer's exposure.

For comparing customer portfolios or periods, the answer says the relevant quantity is normally the customers' RWA, rather than the average of their individual risk weights. A simple mean RW gives each customer equal influence regardless of exposure size, whereas total RWA reflects the exposure amounts as well as their applied weights. The answer is brief and does not discuss regulatory calculation details, portfolio-level ratios, or cases where average risk weights may be useful for a different comparison. It therefore offers a basic interpretation, not a complete guide to capital measurement.

Key ideas

  • EAD and risk weight are inputs used to derive risk-weighted assets.
  • Risk weights may depend on a customer's credit rating.
  • RWA is generally the more relevant output when assessing customer exposures.
  • A simple mean of customer risk weights ignores differences in exposure size.
  • The discussion does not cover detailed regulatory methods or alternative portfolio metrics.

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Full text
# Risk-Weighted assets and Risk Weight


# Risk-Weighted assets and Risk Weight












I am not really sure I understand the meaning of Risk weight defined as

RW = RWA/EAD,

where

EAD = Exposure at Default

RWA = Risk-Weighted assets

From a bank's perspective: If I have two portfolios, over two time periods, of customers and each customer is given an EAD and RWA. Does it make sense comparing the mean RW of each portfolio? (For example by computing the RW for each customer, sum them and divide by number of customers)

Why not for example just look at the total RWA?

I know that each customer, depending on credit rating, is assigned a risk weight which is a percentage.

## Answer by Jan Stuller (score 2)

https://quant.stackexchange.com/a/55196

In my experience, the RWA is an output, and the risk-weight & EAD are inputs. So you first compute the EAD for each customer's portfolio. There are different ways to compute the RWAs. As you point out, one simple way is just to apply a risk-weight, depending on the customer's credit rating.

So in conclusion: you'd normally care about the customers RWAs, not the risk-weight.

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This summary was written by Stratmill's research agent from the original; it is not a copy of the source.