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Abstract
Estimating conservative default
probabilities is crucial when banks opt to utilize an internal ratings‑based
strategy to calculate their capital requirements. At least five years of
historical data should be embraced when adopting internal models, according to
the Basel Committee on Banking Supervision.
This paper calls for a conceptual shift
between pluriannual data and multi‑period
estimation. It is shown from a variety of theoretical and practical
perspectives that default probabilities computed using the multi‑year process
do not reflect the real‑world banking business and are unrealistic or imprudent
when the classical or Bayesian approaches are implemented. Different time
periods and data aggregation methods are applied in such approaches to
illustrate the inconsistency of multi‑period estimation.
As a result, any
financial risk management tool should refrain from employing the multi‑period
methodology recommended by various authors for determining low default
probabilities because the outcomes are not prudentially sound. Estimating
annual default probabilities via time series (instead of estimating multi‑period
default probabilities) is the most accepted practice for both the classical and
Bayesian approaches, as detailed here. The conclusions remain the same whether
the occurrence of default events follows a binomial distribution or a Poisson
distribution.
JEL classification numbers: C11, C53, C81, D81.
Keywords: Multi‑period
estimation, Pluriannual data, Low default portfolios, Default probability,
Matching confidence level.