While the empirical literature has often documented a "default anomaly", i.e. a negative relation between default risk and stock returns, standard theory suggests that default risk should be priced in the cross-section. In this paper, we provide an explanation for this apparent puzzle using a new approach. First we calculate monthly physical probabilities of default (PDs) for a large sample of European firms. Second we decompose these estimated PDs into systematic and idiosyncratic components; we measure the systematic part as the sensitivity of the physical PD to an aggregate measure of default risk. While sorting stocks based on physical PDs confirms a possible default anomaly, we find that the relation between the systematic default risk and stock returns is in fact positive. Our results therefore suggest that risker stocks, as measured by the physical PDs, will tend to underperform because they have on average lower exposures to aggregate default risk.Their riskiness is mostly idiosyncratic and can be diversified away.
JEL Codes: G11, G12, G15, G33Keywords: Default Risk, Merton model, Default Anomaly, Idiosyncratic Risk * Luxembourg School of Finance, University of Luxembourg, 4 rue Albert Borschette, L-1246, Luxembourg. Emails: sara.ferreira@uni.lu; theoharry.grammatikos@uni.lu; dimitra.michala@uni.lu. Dimitra Michala is the corresponding author (Tel: +352 4666446805).We would like to thank Ali NasserEddine for excellent research assistance. This research is financially supported by the European Investment Bank University Research Sponsorship Program. All errors are our own.
1Finance theory suggests that, if default risk is systematic and thus non-diversifiable, it should be positively correlated with expected stock returns in the cross-section of firms. However, the empirical studies in the literature have delivered contradictory findings regarding the sign and significance of this relation. In this paper, we aim to bridge the gap between these seemingly puzzlingly results, by using a novel approach to study the relation between default risk and stock returns in Europe.Early studies show that small stocks have higher returns than big stocks (Banz, 1981, the so-called size effect) and that value stocks have higher returns than growth stocks (Fama and French, 1992, the so-called value effect). In line with theory, Chan and Chen (1991) and Fama and French (1996) suggest that size and book-to-market (BM) respectively proxy for a priced default risk factor. Validating this explanation, Vassalou and Xing (2004) and Chava and Purnanandam (2010) document a positive relation between default risk and stock returns in the US. In a recent working paper, Aretz, Florackis and Kostakis (2013) report similar findings using an international sample. On the contrary, several other studies find a negative relation between default risk and returns, the so-called "default anomaly". Examples are Dichev (1998), Griffin and Lemmon (2002), Campbell, Hilscher and Szilagyi (2008), Garlappi, Shu and Yan (2008), Avramov et a...