FRM Part II · FRM Exam Part II · Financial Correlation Modeling - Bottom-Up Approaches
A risk analyst at a bank is explaining the term 'bottom-up' to a new colleague in the context of financial correlation modeling for a portfolio of credit exposures. Which description best fits a bottom-up approach?
A bottom-up approach models each individual name's default behavior first and then joins them using a correlation or copula structure to obtain portfolio-level outcomes. Top-down approaches, by contrast, model aggregate portfolio losses directly without describing individual names.
- AIt specifies the joint default behavior of the portfolio directly from observed tranche spreads without modeling individual names
- BIt models the individual assets or names first and then combines them with a correlation structure, such as a copula, to derive portfolio-level default behaviorCorrect
- CIt assumes all names in the portfolio have identical default probabilities and treats the portfolio as a single pooled default process
- DIt estimates the portfolio loss distribution using only historical portfolio-level loss data
Explanation
Bottom-up models start from the individual entities (their default probabilities or asset values) and link them through a correlation or dependence structure such as a copula. Top-down models instead model the aggregate portfolio loss directly, which is what the other options describe.
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