Predicting bankruptcy for norwegian firms : a study of Altman’s Z´´-model using alternative ratios
Abstract
In this thesis, we study whether modern accounting ratios based on deductive
reasoning and modern financial statements are superior to older, conventional ratios. The
focus of this study is to evaluate to what extent alternative ratios can improve bankruptcy
prediction models. This is done using Altman’s revised Z´´-model as a base throughout the
study.
To the best of our knowledge, this is the first study using this approach. We have
found no studies that aim to improve the Z´´-model by replacing the ratios with alternative
ratios that consider a similar aspect. Additionally, we found no studies that directly criticize
the ratios applied by Altman. We find a general limitation on the subject of bankruptcy
prediction to be a lack of reasoning behind the applied ratios.
We develop alternative models to the Z´´-model. These models are based on the
outline of the Z´´-model and produced using the same statistical approach, namely
multivariate discriminant analysis. Our models were developed using a sample of 158
Norwegian firms from 2009-2016. The sample consists of 79 bankrupt firms and 79 nonbankrupt
firms.
In general, we find that a majority of the alternative ratios applied in the analysis
improved the Z´´-model on an individual basis. We also highlight three alternative models
that produce results superior to those of the Z´´-model. These models all consist of two
alternative ratios and two of Altman’s original ratios. Generally, we found Financial
Assets/Liabilities to be a particularly good ratio. On the other hand, we found Working
Capital/Total Assets, which was part of the original model, to be a poor ratio.
The findings of this study support our hypothesis that some modern ratios are better
suited to predicting bankruptcy than conventional ratios.