← Freddie Mac Interview Insights
This question is basically a take-home disguised as a verbal question.
Start by clarifying the requirements and edge cases, then outline a deterministic algorithm that sorts by time, assigns folds with expanding windows, enforces embargo via a 90-day buffer, and ensures at least one fold holds out an entire MSA. Provide pseudocode, complexity analysis, and a unit test plan covering the specified scenarios.
Pro tip: Emphasize determinism by sorting on stable keys (e.g., month, MSA, loan_id) and using a fixed random seed if any randomness is needed; also discuss how to handle loan migration by treating each loan_id's timeline independently and applying the embargo per loan_id.
Restate the problem: K=5 expanding-window folds, 90-day embargo per loan_id, at least one fold with entire MSA held out, determinism under shuffled input, and unit tests for duplicate timestamps, missing months, loan migration, and imbalanced MSAs.
Sort data by month, MSA, and loan_id for determinism. Assign each loan_id to a fold based on its first appearance month, ensuring expanding windows. For each fold, define train as all data before the test period minus a 90-day embargo, and test as the fold's period. For the MSA holdout fold, select an MSA and assign all its loans to test, with train excluding that MSA and applying embargo.
Provide clear pseudocode that iterates over folds, computes train/test indices, applies embargo by filtering out any loan_id that appears in test within 90 days of train, and handles the MSA holdout by overriding fold assignment for one MSA.
Time complexity: O(N log N) due to sorting, plus O(N) for fold assignment and filtering. Memory: O(N) for storing indices and intermediate structures. Discuss potential optimizations for large datasets.
Describe tests for: duplicate timestamps (ensure deterministic ordering), missing months (handle gaps in time series), loan migration across MSAs (ensure embargo applies per loan_id regardless of MSA), and highly imbalanced MSAs (ensure MSA holdout still works and folds are balanced).
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