Abstract
This study estimates the relationship between leverage and business risk for Indian corporate firms by applying semi-parametric regression method for three time points, namely 2001, 2007 and 2012. We observe that the relationship is non-linear for all the three measures of RISK in 2001 and 2012. Since we get different results for different measures of risk, we lay more emphasis on RISK2 as the better measure of risk here. From the graphical plots, we find that the relationship between leverage and RISK2 appears to be a polynomial of degree 5 or more. Thus, it invalidates the previous argument of a quadratic relationship between leverage and risk. We then check if the quadratic specification between leverage and risk, as proposed in the existing studies, is appropriate by applying Hardle and Mammen's test. We observe that the relationship varies over the measures of risks and it differs between group-affiliated firms and stand-alone firms. Moreover, the relationship changes over time. Thus, our findings raise questions about the predictions of Castanias, Kale et al. and others on the relationship between capital structure and business risk as a U-shaped one. We conclude that the generalization of a U-shaped relationship between capital structure and business risk is not true.
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