The Relationship between Risk-Neutral and Actual Default Probabilities: The Credit Risk Premium

19 Pages Posted: 8 Jul 2015 Last revised: 10 Feb 2017

See all articles by Wouter Heynderickx

Wouter Heynderickx

Joint Research Center of the European Commission; KU Leuven - Department of Mathematics

Jessica Cariboni

Joint Research Center of the European Commission

Wim Schoutens

KU Leuven - Department of Mathematics

Bert F. Smits

University of Antwerp - Department of Accounting & Finance; European Union - Directorate General for Competition

Date Written: July 7, 2015

Abstract

The relationship between the risk-neutral measure Q and the actual or real-world measure P, and the corresponding credit risk premium, are investigated in this paper. Quantifying and understanding the long-term average risk premium is important for a variety of financial applications and investment decision-making. This study develops an empirical analysis of this relationship, using CDS spreads of European corporates for estimating risk-neutral probabilities, and Moody's historical transition matrices to derive the corresponding actual values. Special attention is given to the recent financial crises and our study allows us to quantify its impact on risk premia. In line with some research based on pre-crisis data, we find that the ratio between the risk-neutral and actual default intensities, which we call the coverage ratio, is a convex and decreasing function of the actual default intensities. We are able to further differentiate between different time-horizons and conclude that current risk premia levels are still above their initial levels and this could indicate a permanent upward shift in risk premia. Finally, we link our results with the concept of Real Economic Value and its role in the bail-out of several European financial institutions.

Keywords: Risk-Neutral, Probability of Default (PD), Credit Risk Premium, Real Economic Value (REV), Coverage Ratio

Suggested Citation

Heynderickx, Wouter and Cariboni, Jessica and Schoutens, Wim and Smits, Bert F., The Relationship between Risk-Neutral and Actual Default Probabilities: The Credit Risk Premium (July 7, 2015). Available at SSRN: https://ssrn.com/abstract=2627585 or http://dx.doi.org/10.2139/ssrn.2627585

Wouter Heynderickx (Contact Author)

Joint Research Center of the European Commission ( email )

Via E. Fermi 2749
Brussels, B-1049
Belgium

KU Leuven - Department of Mathematics ( email )

Celestijnenlaan 200 B
Leuven, B-3001
Belgium

Jessica Cariboni

Joint Research Center of the European Commission ( email )

Via E. Fermi 2749
1049
Belgium

Wim Schoutens

KU Leuven - Department of Mathematics ( email )

Celestijnenlaan 200 B
Leuven, B-3001
Belgium

Bert F. Smits

University of Antwerp - Department of Accounting & Finance ( email )

Faculty of Applied Economics
Prinsstraat 13
Antwerp, B-2000
Belgium

European Union - Directorate General for Competition ( email )

Place Madou, Madouplein 1
Saint-Josse-ten-Noode/Sint-Joost-ten-Noode
Brussels, B-1049
Belgium

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