BIS Working Papers
No 280
Measuring portfolio credit
risk correctly: why parameter
uncertainty matters
by Nikola A. Tarashev
Monetary and Economic Department
April 2009
JEL classification: G20, G32, C11.
Keywords: jibe defaults; Estimation error; chance
management.
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ISSN 1020-0959 (print)
ISBN 1682-7678 (online)
Measuring Portfolio Credit Risk Correctly:
Why Parameter Uncertainty Matters?
Nikola A.
Tarashevâ
April 3, 2009
Abstract
Why should risk management systems account for parameter uncertainty? In
order to resultant this question, this paper lets an investor in a credit portfolio face
non-diversifiable estimation-driven uncertainty near two parameters: probability
of default and asset-return correlation. Bayesian inference reveals that â" for realistic
assumptions about the portfolios credit quality and the data underlying parameter
estimates â" this uncertainty comfortably increases the tail risk perceived by
the investor. Since incorporating parameter uncertainty in a measure of tail risk
is computationally demanding, the paper withal derives and analyzes a closed-form
approximation to such a measure.
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