Supersedes Working Paper 20-29/R – The Firm Size-Leverage Relationship and Its Implications for Entry and Business Concentration

A variety can die with a constant probability, implying that firms with more varieties (bigger firms) have a lower variance of sales growth and, in equilibrium, higher leverage. In this setup, a drop in the risk-free rate increases the value of an acquisition more for bigger firms because of their higher leverage: They can (and do) borrow a larger fraction of their future cash flow. The drop causes existing firms to buy more of the new varieties arriving into the economy, resulting in a lower startup rate and greater concentration of sales.

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