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FRM Part II · FRM Exam Part II · Financial Correlation Modeling - Bottom-Up Approaches

A risk analyst at a bank compares a top-down and a bottom-up approach to modeling the joint default behavior of a loan portfolio. Which statement correctly describes a bottom-up approach?

A bottom-up approach models each obligor's default individually and then joins them using a correlation or copula structure. Top-down approaches instead model aggregate portfolio losses directly, without specifying individual obligor behavior, so the first described option is top-down rather than bottom-up.

  1. AIt models the portfolio loss distribution directly, without specifying individual obligor default behavior
  2. BIt specifies the default process of each individual obligor and then links them through a correlation structure such as a copulaCorrect
  3. CIt relies only on historical average default rates by rating class and ignores dependence between names
  4. DIt assumes all obligors default at the same time

Explanation

Bottom-up approaches begin with individual entity default probabilities or processes and then combine them with a dependence structure (e.g., a Gaussian copula) to obtain joint behavior. Top-down approaches model the aggregate portfolio loss directly. The option describing direct portfolio loss modeling is the top-down method.

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