Why is Cash U-Shaped in Firm Size?
96 Pages Posted: 20 Apr 2022 Last revised: 3 Jan 2024
Date Written: November 7, 2023
We document a new empirical fact: the level of cash holdings is U-shaped in firm size. To rationalize this finding, we develop a continuous-time model of firm dynamics with costly financing that is not homothetic in firm size. Cash levels are U-shaped in firm size due to the interplay of investment and hedging incentives. When a firm is small, cash levels decrease with size because the firm uses cash to grow, capitalizing on better investment opportunities. As the firm grows, investing slows and cash levels eventually increase to hedge larger-scale cash flow shocks.
Keywords: Cash holdings, liquidity management, costly financing
JEL Classification: E22, G30, G31, G35
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