Abstract

This paper addresses the problem of modeling credit risk for multi-product and global loan portfolios. The authors presented an improved version of the Basel Committee’s one-factor model for capital requirements calculation. They examined whether latent market factors corresponding to distinct portfolios are always highly correlated within the global portfolio and how this correlation impacts total losses distribution function. Historical losses of top-tier banks (JPMorgan Chace, Bank of America, Citigroup, Wells Fargo, US Bancorp) were analyzed. Furthermore, the estimation of the correlations between latent market factors was conducted, and its impact on the total loss distribution function was assessed. The research was performed based on consolidated financial statements for holding companies - FR Y-9C reports provided by the Federal Reserve Bank of Chicago. To verify the improved model, the authors analyzed two distinct loan portfolios for each bank, i.e., credit cards and commercial and industrial loans. They showed that the correlation between latent market factors could be significantly lower than one and disregarding this conclusion may lead to overestimating total unexpected losses. Hence, capital requirements calculated according to the IRB (Internal Ratings Based Approach) formula as a sum of individual VaR999 estimates may be biased. According to this finding, the enhanced one-factor model seems to be more accurate while calculating unexpected total loss for global portfolios. The authors proved that the active credit risk management process aiming to lower market factors’ correlation results in less volatile total losses. Therefore, financial institutions could be more resistant to macroeconomic downturns.

Highlights

  • According to the New Basel Capital Accord [1], capital requirements are expected to be calculated based on the one-factor model [2]

  • The purpose of this paper is to examine whether the traditional approach based on the one-factor model is adequate for the global US leading banks

  • According to the Board of Governors of the Federal Reserve System report [28], the losses under the severely adverse scenario are expected to be equal to 490 billion USD

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. According to the New Basel Capital Accord [1], capital requirements are expected to be calculated based on the one-factor model [2]. This methodology was implemented in more than 150 countries worldwide and allowed to calculate credit risk capital requirements using a statistical model. The purpose of this revolutionary approach was to provide more adequate loss estimates and link them with capital requirements. Banks were encouraged to develop internal models reflecting their individual and unique risk profiles

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