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A Structural Model of Human Capital and Leverage - Duke ...

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In the multiple regression all variables remain significant, owing largely to the very large sample size. As<br />

is the case in Table 1, the coefficients on the market to book ratio, pr<strong>of</strong>itability, <strong>and</strong> cash flow volatility are<br />

all attenuated when all independent variables are included. Size becomes more negatively related to leverage<br />

in the simulated multiple regressions, a pattern that is not consistent with the data. It is worth noting<br />

that the coefficient on labor intensity is unchanged in the multiple regression. This is because most <strong>of</strong> the<br />

variation in labor intensity is due to variations in the exogenous parameter αn, whereas the variation in the<br />

other variables is due to endogenous responses to technology shocks. Thus there are correlations among the<br />

other determinants <strong>of</strong> capital structure, whereas labor intensity is largely uncorrelated with each <strong>of</strong> them.<br />

This could be addressed by specifying a model where labor intensity responds endogenously to some sort <strong>of</strong><br />

technology shock. It is not clear that this approach is preferable, however, since one <strong>of</strong> the criticisms <strong>of</strong> this<br />

class <strong>of</strong> models is that they do not allow for enough heterogeneity across firms.<br />

6 Conclusion<br />

I write a dynamic quantitative model <strong>of</strong> corporate finance that incorporates labor market frictions. Labor<br />

market frictions induce match-specific rents associated with the employment relationship. Termination <strong>of</strong> this<br />

relationship is costly to both firms <strong>and</strong> employees. The loss <strong>of</strong> human capital that accompanies unemployment<br />

represents a significant cost <strong>of</strong> financial distress, large enough to have a quantitatively important affect on<br />

capital structure. I calibrate the model <strong>and</strong> find that it is able to match informative moments from the data.<br />

Average leverage in the data is 21% compared to 18% in the model, despite using default costs that are only<br />

5% <strong>of</strong> the capital stock. The model is also able to match the cross-sectional pattern <strong>of</strong> leverage <strong>and</strong> labor<br />

intensity. The model predicts a monotonically decreasing relationship between leverage <strong>and</strong> labor intensity,<br />

with a move from the lowest to the highest decile <strong>of</strong> labor intensity resulting in a drop in leverage <strong>of</strong> 21<br />

percentage points, compared to a drop <strong>of</strong> 27 percentage points in the data. Furthermore, the model is able<br />

to match the cross-sectional relationships between leverage <strong>and</strong> the market to book ratio, pr<strong>of</strong>itability, <strong>and</strong><br />

cash flow volatility. Overall the model provides the first quantitative evidence on the importance <strong>of</strong> human<br />

capital for the firm’s capital structure decision.<br />

27

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