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Corporate cash shortfalls and financing decisions Rongbing Huang and Jay R. Ritter December 5, 2015 Abstract Immediate cash needs are the primary motive for debt issuances and a highly important motive for equity issuances. A two standard deviation increase in free cash flow-to-assets on average decreases the likelihood of a net debt and a net equity in the same year by 53.6% (from 60.0% to 6.4%) and 12.7% (from 18.4% to 5.7%), respectively. Conditional on issuing a security, corporate lifecycle, precautionary saving, market timing, and static tradeoff theories are important in explaining the debt versus equity choice, even for firms that are running out of cash. Key Words: Cash Holding, Cash Need, Equity Issue, Debt Issue, Security Issue, SEO, Financing Decision, Capital Structure, Market Timing, Precautionary Saving, Corporate Lifecycle, Financial Flexibility, Static Tradeoff JEL: G32 G14 Huang is from the Coles College of Business, Kennesaw State University, Kennesaw, GA 30144. Huang can be reached at rhuang1@kennesaw.edu. Ritter is from the Warrington College of Business Administration, University of Florida, Gainesville, FL 32611. Ritter can be reached at jay.ritter@warrington.ufl.edu. We would like to give special thanks to our referee for detailed and highly constructive comments. We also thank Ning Gao (our FMA discussant) and the participants at the University of Sussex, Tsinghua PBC, the Harbin Institute of Technology, and the 2015 FMA Annual Meeting for useful comments.

1. Introduction Firms securities to fund immediate cash needs, optimize cash holdings, prepare for future cash needs, rebalance capital structures, time the market, or achieve other goals. 1 In this paper, we examine the economic significance of cash needs and non-funding-related factors in predicting debt or equity decisions of U.S. firms during 1972-2010. Our findings suggest that immediate cash needs are the primary determinant of the decision to raise external capital, especially debt, and that corporate lifecycle, precautionary saving, market timing, and static tradeoff motives are important for the choice between debt and equity. We find that immediate cash needs are the dominant predictor for debt s. 2 After controlling for other variables, a two standard deviation increase in the ratio of free cash flow-tobeginning of year assets on average decreases the likelihood of a net debt in the same fiscal year by 53.6% (from 60.0% to 6.4%). Net debt rs spend 85.9 cents of each dollar raised in the same year. These findings strongly support the transitory debt theory developed by DeAngelo, DeAngelo, and Whited (2011). The theory posits that firms deliberately but temporarily deviate from permanent target leverage by issuing transitory debt to fund investments. We also find that immediate cash needs are a highly important motive for equity s. A two standard deviation increase in free cash flow-to-assets for a year on average decreases the likelihood of a net equity in the same year by 12.7% (from 18.4% to 5.7%). Net equity rs immediately spend 34.6 cents of each dollar raised. Cash balance optimization, future needs, corporate lifecycle, and precautionary saving proxies can explain saving 17.9 cents of 1 See Myers (1984), Loughran and Ritter (1995), Hovakimian, Opler, and Titman (2001), Baker and Wurgler (2002), Frank and Goyal (2003), Welch (2004), Fama and French (2005), Leary and Roberts (2005), Huang and Ritter (2009), DeAngelo, DeAngelo, and Stulz (2010), Billett, Flannery, and Garfinkel (2011), and DeAngelo and Roll (2015), among others. 2 In this paper, we use immediate cash need to denote year t cash need, near-future to denote year t+1, nearterm to denote both t and t+1, and remote-future or remote to denote t+2 and later. 1

each dollar raised. Market timing proxies can explain a saving of 9.2 cents, with the remaining 38.3 cents unexplained. We document that firms behave much like individuals: they rarely raise external capital unless there is an immediate cash need. When there is an immediate cash need, firms can choose to debt or equity to fund it. Conditional on issuing a security, our proxies for corporate lifecycle, precautionary saving, market timing, and tradeoff theories are important in explaining the debt versus equity choice, even for firms that are running out of cash. The corporate lifecycle theory posits that young firms rely more on external equity than old firms (DeAngelo, DeAngelo, and Stulz (2010), henceforth DDS). The precautionary saving theory posits that firms facing more uncertainties are more likely to equity rather than debt and prefer higher cash balances (Bates, Kahle, and Stulz (2009) and McLean (2011)). The static tradeoff theory emphasizes adjustment toward leverage targets. The market timing theory posits that firms equity when the relative cost of equity is low and debt when the relative cost of debt is low. Three versions of timing theories appear in the literature. Unconditional timing theories view market timing as important and economic fundamentals (e.g., funding needs as well as lifecycle, precautionary saving, and tradeoff motives) as unimportant or negligible for securities issuance decisions. Conditional timing theories recognize the importance of both market timing and fundamentals. Reverse-causality timing theories emphasize causality that runs from timing opportunities to real decisions (Baker, Stein, and Wurgler (2003)). Specifically, when the cost of capital is low, firms raise capital and quickly spend the proceeds on projects that they would not otherwise take. Our findings are consistent with conditional timing theories. Recently, the economic importance of explicit measures of near-term cash needs as a motivation for securities issuances has started to receive much-deserved attention. In an 2

influential paper, DDS find that 62.6% of the firms conducting seasoned equity offerings (SEOs) would have run out of cash at the end of the year after the SEO without the proceeds. DDS also document that many mature firms conduct an SEO, and many firms with good equity market timing opportunities do not conduct an SEO. They thus conclude that neither lifecycle nor timing is sufficient in explaining SEO decisions. DDS also find that the likelihood of an SEO is much higher for young firms than for old firms, suggesting that the lifecycle effect is more important than the timing effect. Taking their findings together, DDS conclude that near-term cash needs are the primary motive for SEOs. In another important paper that explicitly measures an immediate cash need, Denis and McKeon (2012) document that debt s accompanied by large leverage increases are primarily used to fund immediate operating needs, and that there is little attempt to subsequently reduce the debt ratio, inconsistent with the static tradeoff model. Kim and Weisbach (2008) find that firms save 53.4 cents of an incremental dollar raised in an SEO, suggesting a timing-related stockpiling effect. Using Compustat data to define equity s, McLean (2011) shows in his Table 6 that one additional dollar of equity issuance results in 56.4 cents of cash savings. McLean concludes that precautionary saving motives are important for equity issuances. His Table 11 documents that the likelihood of cash depletion in a year is 17% for firms that report a positive equity amount on their cash flow statements, in sharp contrast with the cash depletion likelihood of 62.6% for SEOs that DDS report. The difference between their findings is largely because McLean s sample includes many small equity s attributable to the exercise of employee stock options for firms without large investment needs. Our paper differs from the previous papers in four major regards. First, we evaluate the relative economic significance of current cash needs, future cash needs, and non-funding-related 3

factors in explaining debt and equity decisions. Second, we relate cash changes associated with securities s to cash needs, and precautionary, timing, lifecycle, and other motives. Third, we evaluate the importance of various theories in explaining the choice between debt and equity, conditional on issuing a security. In contrast, Kim and Weisbach (2008), DDS, and McLean (2011) only focus on equity s, while Denis and McKeon (2012) only focus on debt s. Lewis and Tan (2015) focus on the ability of the debt vs. equity choice to predict future stock returns, but do not address motivations for financing decisions other than market timing. Finally, we reconcile some of the disparate results in the previous papers. In this paper, we define securities s using information from cash flow statements. A firm is defined as a debt r or an equity r if net debt or net equity proceeds in a year are at least 5% of the book value of assets and 3% of the market value of equity at the beginning of the year. In our definition, equity s include SEOs, private investments in public equity (PIPEs), large employee stock option exercises, and preferred stock s. 3 One argument against the market timing theory is that many firms with good equity market timing opportunities do not equity. In our sample, an equity occurs in 10.7% of the firm-years. In comparison, DDS document that the probability of an SEO in a given year is 3.4%. 4 Debt s in our sample include straight and convertible bond offerings and increases in bank loans. Our findings on the likelihood of cash depletion are generally consistent with those of DDS, although we also document that many equity rs would not run out of cash even if they cut their size by half. Of the equity rs in our sample, 54.4% would run out of cash at 3 Since we require a one-year stock return prior to the current fiscal year, initial public offerings (IPOs) and SEOs shortly after the IPO are not included in our sample. Because cash flow statements are used, stock-financed acquisitions are not counted as equity s in this paper. 4 To understand why our frequency of equity s is so much higher than the DDS frequency, we investigated 50 random equity rs using the Thomson Reuters SDC database, Sagient Research s Placement Tracker database, and annual reports on the S.E.C. s EDGAR web site. We found that PIPEs were almost as frequent as SEOs, and that SDC missed some SEOs. 4

the end of the issuing year if they did not raise capital, and 34.7% would run out of cash if they cut the net equity and net debt size by half. We use two variables to explicitly measure immediate cash needs: cash at the end of year t-1, Cash t-1, and free cash flow in year t, FCF t. We define FCF in a year as ICF Investments Non-Cash NWC Cash Dividends, where ICF is the internal cash flow, and Non-Cash NWC is the change in non-cash net working capital (see the Appendix for details). We use FCF t+1 and FCF t+2, respectively, to measure near-future and remote-future cash needs. Note that higher Cash t-1 and FCF reflect a larger cash surplus or a smaller cash need. All of these cash need variables are scaled by the book value of assets at the end of t-1, Assets t-1. We estimate multinomial logit regressions to evaluate the economic significance of various determinants for the decision to debt, equity, both debt and equity, or no security. 5 Immediate cash needs are the dominant determinant for debt issuances. Simply put, firms do not borrow money unless they are going to spend it. Near-future cash needs are much less important than immediate cash needs, and lagged leverage and remote-future cash needs have negligible predictive power for debt s. These findings provide strong support for the transitory debt theory developed in DeAngelo, DeAngelo, and Whited (2011). Immediate cash needs are also highly important for equity s. A two standard deviation increase in Cash t-1 Assets t-1 or FCF t Assets t-1 decreases the likelihood of a net equity by 5.0% (from 13.8% to 8.8%) and 12.7% (from 18.4% to 5.7%), respectively. Future cash needs are also important but less important than immediate cash needs. A two standard deviation 5 Hovakimian (2004) does not evaluate the economic effects of the independent variables in his multinomial logit regressions and does not focus on the role of cash needs. Huang and Ritter (2009) do not explicitly control for cash needs in their nested logit regressions. DDS do not examine the choice between debt and equity and do not include a cash shortfall measure as an independent variable in their logit regressions for the decision to conduct an SEO. Denis and McKeon (2012) focus on debt s associated with large leverage increases, and do not examine the decision to debt. 5

increase in FCF t+1 Assets t-1 and FCF t+2 Assets t-1 decreases the likelihood of a net equity in year t by 4.3% and 2.2%, respectively. Larger and older firms, firms with higher stock returns from year t+1 to t+3 (a measure of current undervaluation), and dividend payers are less likely to equity. The stock return in year t-1, Tobin s Q, leverage, R&D expense, and industry cash flow volatility are positively associated with the likelihood of equity s. Firms are also more likely to equity when the default spread is high. These findings are consistent with lifecycle, timing, precautionary saving, and tradeoff theories. Our current and future free cash flow measures are based on actual internal cash flow and cash uses. Reverse-causality timing theories posit that firms spend more only because they successfully raise external capital. To avoid this reverse causality concern, we also use an ex ante measure of free cash flow, FCF t-1. Impressively, Cash t-1 Assets t-1 and FCF t-1 Assets t-1 are still the most important determinants of debt s and important determinants for equity s. For equity s, the economic significance of FCF t-1 Assets t-1 is comparable to that of firm size or that of the stock return from t+1 to t+3. We also examine the effects of debt and equity s on cash changes, and how the effects are related to cash needs and non-funding-related motives. On average, net debt rs immediately spend 85.9 cents of an incremental dollar in their issuing proceeds, and save only 14.1 cents in cash. In comparison, net equity rs immediately spend 34.6 cents of an incremental dollar in their issuing proceeds, and save 65.4 cents in cash. The fact that equity rs tend to save a large fraction of proceeds has been interpreted as supportive of the market timing theory (Kim and Weisbach (2008)). We caution that timing is not responsible for all of the 65.4 cents saving. As DDS also note, many equity rs are small and unprofitable 6

and experience substantial growth in non-cash assets, thus it is reasonable for them to increase cash balances and prepare for future cash needs. To understand the relative importance of various motives for cash savings, we decompose the saving of 65.4 cents into three components. Fundamentals can justify a cash increase of 17.9 cents of an incremental dollar in net equity proceeds. Firms with non-cash asset growth and larger potential future financing needs, smaller firms, and firms facing more uncertainties generally save more in cash. After controlling for the effects of the fundamentals, market timing proxies can explain a saving of 9.2 cents, with more saved when equity is cheap. The saving explained by timing proxies is smaller than that explained by fundamentals, suggesting that although timing is important, fundamentals are even more important. A saving of 38.3 cents remains unexplained. Immediate cash needs are not incompatible with market timing and other motives. Firms that are running out of cash still must choose between debt and equity if they seek external financing. Conditional on issuing a security, firms with smaller immediate cash needs and larger future cash needs are more likely to equity rather than debt. Other than cash needs, the four most important predictors of the debt vs. equity choice are lagged measures of firm size, R&D expense, leverage, and Tobin s Q. A two standard deviation increase in lagged firm size is associated with a decrease of 12.5% in the likelihood of equity s, and a two standard deviation increase in lagged R&D expense, leverage, and Tobin s Q is associated with increases in the equity likelihood of 10.5%, 8.0%, and 7.9%, respectively. We further estimate a multinomial logit regression for the choice of securities, conditional on doing external financing and running out of cash. Even for firms that are running out of cash, market timing, precautionary savings, corporate lifecycle, and tradeoff theories are 7

economically important in explaining the debt versus equity choice. Companies usually raise cash only when they need to, but if a firm is small, young, R&D intensive, highly levered, or if equity is cheap, the firm will frequently equity rather than debt. 2. Data, variables, and summary statistics 2.1. Data and variables We use Compustat to obtain financial statement information and CRSP to obtain stock prices for each U.S. firm. We require the statement of cash flow information for fiscal years t and t-1. Since the cash flow information is only available from 1971, our final sample starts from 1972. 6 Since we also examine stock returns in the three years after each financing decision, our sample period ends at 2010. We also drop firm-year observations for which frequently used variables in our paper have a missing value, the net sales is not positive, the book value of assets at the end of fiscal year t-1 or t is less than $10 million (expressed in terms of purchasing power at the end of 2010), the book value of assets at the end of year t-2 is missing, the cash flow identity is violated, or there is a major merger. 7 To avoid the effect of regulations on financing choices, we remove financial and utility firms from our analysis. Our final sample includes 116,488 firm-year observations from 1972-2010. As market timing proxies we use Tobin s Q, the stock return in year t-1, the stock return from t+1 to t+3, the term spread, and the default spread. As lifecycle proxies, while DDS use only firm age, we favor the corporate lifecycle theory by using both firm size (the logarithm of 6 We use the number of years that a firm has been listed on CRSP as a measure for the firm s age. CRSP first included NASDAQ stocks in December 1972. As DDS point out, the number of years on CRSP is not a reliable measure for firm age for these firms. Our major results are essentially the same if we add five years to the age of these firms or simply exclude these firms from our sample. 7 A major merger is identified by the Compustat footnote for net sales being AB, FD, FE, or FF. Our data requirements result in the dropping of firms that solved their cash shortfall problems by being acquired during year t. 8

net sales) and age. As precautionary saving proxies, following McLean (2011), we use R&D expense, industry cash flow volatility, and a dividend payer dummy variable. For the tradeoff theory, we use lagged leverage as a proxy. Detailed definitions of the variables used in this paper are provided in the Appendix. To minimize the influence of outliers, all non-categorical variables except for the stock returns are winsorized at the 0.5% level at each tail of our sample. 2.2. Summary statistics Figure 1A reports the likelihood of cash depletion on the basis of Cash ex post, defined as Cash t-1 + FCF t. Inspection of the figure shows that larger sizes are associated with a higher probability of running out of cash. Furthermore, this relation is much stronger for debt s than equity s. The finding that firms that raise more debt or equity capital often have larger cash needs undercuts the importance of precautionary saving and unconditional market timing motives. Figure 1B shows the likelihood of cash depletion on the basis of Cash ex ante, defined as Cash t-1 + FCF t-1. Cash ex ante is fully ex ante because it only uses information prior to year t. It assumes that the ICF, investments, Non-Cash NWC, and cash dividends in year t will stay the same as those in year t-1. There is still a positive relation between size and the likelihood of cash depletion in Figure 1B, although the relation is weaker than in Figure 1A. For firms with an size greater than 5% of beginning-of-year assets, the cash depletion likelihoods on the basis of Cash ex ante are lower than those on the basis of Cash ex post for both debt and equity rs. Table 1 reports the sample distribution by security activities. If firms actively target a desired capital structure, firms with the largest cash shortfalls could both debt and equity to fund their cash needs and stay close to their target leverage (Hovakimian, Hovakimian, and Tehranian (2004)). Therefore, we distinguish among pure debt s, pure equity s, and dual s of both debt and equity. 9

In this paper, issuance years are defined as years in which either the net debt or net equity proceeds on the cash flow statement is at least 5% of book assets and 3% of market equity at the beginning of the year. Using this definition, in 70.7% of firm-years, there is no security. A debt occurs more often than an equity. A pure debt occurs in 18.7% of firm-years, a pure equity occurs in 8.0% of firm-years, and dual s of debt and equity occur in 2.7% of firm-years. An equity occurs in 10.7% of firm-years in our sample. In comparison, DDS document that the probability of an SEO in a given year is 3.4%. 8 Conditional on issuing at least one security, the likelihoods of a debt and an equity are 72.7% and 36.4%, respectively. Conditional on issuing at least one security and running out of cash at the end of year t without external financing, the likelihoods of a debt and an equity are 82.5% and 29.5%, respectively. Among rs that are not running out of cash, the likelihood of an equity is much higher at 50.5%. In other words, firms almost never borrow until the money is needed, but they sometimes equity before it is needed. Figure 2 shows for each fiscal year of 1972-2010 the fraction of debt or equity rs that have an equity in the year and the average Tobin s Q at the end of the year. The fraction varies substantially between the minimum of 5% in 1974 and the maximum of 65% in 2009. Part of the variation in the equity versus debt choice from year-to-year is undoubtedly due to a changing composition of firms. To understand whether time-varying growth opportunities and costs of equity help explain the variation in the debt versus equity choice across time, we 8 Fama and French (2005) document that although SEOs are rare, on average 54% of their sample firms make net equity s each year from 1973-1982, and the proportion increases to 62% for 1983-1992 and 72% for 1993-2002. Our equity probabilities are lower than those reported in Fama and French (2005), who do not impose a minimum requirement of 5% of assets and 3% of market equity, and who include share s that do not generate cash, such as stock-financed acquisitions and contributions to employee stock ownership plans (ESOPs). Although exercises of employee stock options generate cash for the company, they are passive, rather than active, actions by the issuing firm, and they occur following stock price increases, although not necessarily after an increase in t-1. McKeon (2015) reports that a 3% of market equity screen removes from the equity issuance category almost all firm-years with only stock option exercises. 10

plot the average Tobin s Q of our sample firms at the end of each year in the same figure. The large variation over time in the choice of debt versus equity as well as the strong positive correlation between the fraction of rs that equity and the average Tobin s Q suggest that market timing is quantitatively very important. Panel A of Table 2 reports the means for the components of cash flows. On average, pure equity rs and dual rs have the lowest ICF t Assets t-1, suggesting that they are less able to rely on internally generated funds. Dual rs have the largest Investments t Assets t-1, followed by pure debt rs and pure equity rs. The mean of Cash Dividends t Assets t-1 is no greater than 1.2% for all four categories of firms, suggesting that dividend cuts and omissions play a limited role in meeting large short-term cash needs. The overall mean of 1.1% is low because we are equally weighting firms, and most small firms pay no dividends. The mean NWC t Assets t-1 varies from 0.3% for firms that no security to 17.9% for dual rs. Panel B of Table 2 reports the mean free cash flows from year t-1 to t+2. For pure debt rs, FCF dips in year t. FCF Assets t-1 sharply decreases from -5.3% in t-1 to -16.7% in t, before rebounding to -6.5% and -5.7% in t+1 and t+2, respectively. In contrast, for pure equity rs, FCF Assets t-1 decreases from -15.7% in t-1 to -18.5% in t, and decreases further to - 22.7% and -22.1% in t+1 and t+2, respectively, suggesting that equity rs have persistently larger funding needs. Panel B also reports the percent of firms that have a negative free cash flow. The patterns are similar to the patterns for the means. Our Figure 1 finds that firms that have a larger are more likely to run out of cash if they do not. To further understand this finding, Panels C and D of Table 2 report the means of the cash flow components for firms sorted by net equity size and net debt size, respectively, as a percent of beginning-of-year assets. Consistent with our conjecture, firms with 11

a larger Equity t Assets t-1 generally have larger investments. Furthermore, for firms with Equity t Assets t-1 0.05, ICF t Assets t-1 is only 1.2%. Thus, part of the proceeds for this group of firms is used to make up for the lower profitability. Interestingly, this group of firms not only has the largest cash need, but also has the largest increase in cash holdings in the same year. So a higher likelihood of cash depletion without the issuance is not necessarily incompatible with an increase in cash holdings in the same year. In other words, corporate cash savings can and does occur when the security r would have run out of cash without the proceeds. When firms do equity, they could raise more equity capital than their immediate cash needs, saving some to finance future cash needs. Firms with a larger Debt t Assets t-1 have larger Investments t Assets t-1, although ICF t Assets t-1 is flat across the debt size groups. Firms could fund their uses of cash by using previously accumulated cash. Table 3 reports the summary statistics for cash, excess cash (i.e., industry-adjusted), and hypothetical likelihoods of cash depletion. Panel A reports the means of cash and excess cash at the end of each year from t-1 to t+1, all expressed as a percent of assets at the end of t-1. Pure equity rs have much higher mean cash ratios in the year before, the year of, and the year after the than the other categories of firms, suggesting a stockpiling effect. A higher cash ratio can be optimal for small growth firms, as noted by DDS. For example, a biotech company with negative ICF will find it easier to attract and retain employees if it has cash on the balance sheet. To control for the effects of industry, growth opportunities, and firm size, we compute the excess cash ratios as the difference between the cash ratio of the firm and the median cash ratio in the same year of firms in the same industry, the same tercile of Tobin s Q, and the same tercile of total assets. In Panel A of Table 3, pure equity rs have a positive mean excess cash ratio of 2.5% at the end of year t-1, but still choose to raise more equity capital. 12

To measure the likelihood of cash depletion of an SEO firm, DDS initially focus on an ex post measure of the r s pro forma cash balance at the end of the subsequent fiscal year (t+1) after the SEO year (t), assuming zero SEO proceeds in year t and that the firm s actual operating, investing, and other financing activities in t and t+1 would be the same whether or not the firm had the SEO in year t. To alleviate potential reverse-causality concerns, they do a robustness test by assuming no capital expenditure increases in t and t+1, no increases in debt in t and t+1, or no dividends in t and t+1, and still find that most SEO rs would have run out of cash. Following DDS, we present the likelihoods of cash depletion in Panel B. On the basis of the ex post measure (Cash t-1 + FCF t ), the likelihood of cash depletion at the end of year t is 74.4% for pure debt rs, 88.5% for dual rs, and 43.1% for pure equity rs. The likelihoods of running out of cash at the end of year t for debt and equity rs are 76.2% and 54.4%, respectively, suggesting that debt rs have much larger immediate cash needs than equity rs. 9 If we use the ex ante measure, (Cash t-1 + FCF t-1 ), the likelihoods of cash depletion at t for debt and equity rs are much lower at 43.1% and 44.8%, respectively. We also compute the likelihood of cash depletion at the end of t+1 if a firm does not equity or debt in both t and t+1. Using (Cash t-1 +FCF t +FCF t+1 ), the likelihoods of running out of cash at t+1 for debt and equity rs in t are 72.9% and 68.7%, respectively. Using the ex ante measure, (Cash t-1 +2 FCF t-1 ), the likelihoods become 52.0% and 58.2%, respectively. Using (Cash t-1 +FCF t-1 + Debt t ), or assuming zero net equity and holding net debt at its actual value, the likelihood of cash depletion at t for an equity r is 59.3%. Using (Cash t-1 +FCF t-1 + Equity t ), or assuming zero net debt and holding net equity at its actual value, the likelihood of cash depletion at t for a debt r is 76.7%. 9 Denis and McKeon (2012) document that for 2,314 firm years with large leverage increases between 1971-1999, the likelihood of cash depletion is between 70.8% and 93.4% 13

What if a security r still s the security but cuts the size by half? Using [Cash t-1 +FCF t +0.5 ( Debt t + Equity t )], the likelihoods of cash depletion at t for a debt and an equity r are 58.4% and 34.7%, respectively. Using (Cash t-1 +FCF t + Debt t + 0.5 Equity t ), the likelihood of cash depletion for an equity r is 36.4%. Using (Cash t-1 +FCF t + Equity t + 0.5 Debt t ), the cash depletion likelihood for a debt r is 58.8%. These findings suggest that many equity rs could have cut their net size by half without running out of cash. Since some firms could skip cash dividends when they have a funding need, we compute the likelihood of (Cash t-1 +FCF t +Cash Dividends t ) being less than zero. The results are similar to those using (Cash t-1 +FCF t ), suggesting that cash dividends are not an important use of cash for firms, especially those with low internal cash flow. DDS examine the likelihood of cash depletion at the end of year t+1 for firms with an SEO in year t, assuming zero SEO proceeds in t and holding other cash uses and sources at their actual values. To make our results more comparable to theirs, we compute the probability of (Cash t-1 +FCF t +FCF t+1 + Debt t + Debt t+1 + Equity t+1 ) < 0. For our sample of equity rs, the likelihood of cash depletion at the end of t+1 is 59.9%, which is close to their 62.6%. McLean (2011) assumes zero equity issuance instead of zero net equity issuance in computing the likelihood of cash depletion. Following his approach, the likelihood of cash depletion is 59.9% for equity rs in our sample and a much smaller 10.7% for all firms in our sample, consistent with our Table 2 finding that firms with a larger net equity have a larger immediate cash need. McLean s equity sample includes all firm years with a positive equity amount on the cash flow statements, including small amounts from employee stock option exercise. Our untabulated results show that the likelihood of cash depletion in a year for 14

our subsample of firms with a positive (rather than 5%) equity issuance amount is 14.9%, which is close to the 17% that McLean reports and the 15.6% that McKeon (2015) reports. 10 While it is tempting to conclude that near-term cash shortfalls are the primary motive for equity s based on our Table 3 results using the ex post cash need measures, we provide three cautionary notes. First, if an equity r uses more cash merely because it has raised equity capital, then the ex post measures will overstate the likelihood of cash depletion without an equity. Second, it is important to control for other determinants of external financing when analyzing the role of immediate cash shortfalls in financing decisions. Third, firms that are running out of cash can still choose between debt and equity. Table 4 presents the means for the control variables that are used in our regressions. Panel A presents the means for the full sample. Among the four subsets of firms, pure equity rs have the highest Tobin s Q, consistent with earlier studies that show that firms with growth opportunities and high stock valuation are more likely to equity. Pure equity rs and dual rs have the highest average prior stock returns of 44.9% and 46.7%, respectively, and the lowest 3-year buy-and-hold stock returns of 14.9% and 10.5% from year t+1 to t+3, consistent with the market timing literature. The average stock return from t+1 to t+3 is much higher for pure debt rs than for equity rs. Equity rs and dual rs are smaller and younger than other firms. Pure equity rs also have lower lagged leverage than debt rs. Pure equity rs have the highest R&D, and are in industries with the highest cash flow volatility and are the least likely to be a dividend payer in the prior year. To understand the differences between young and old firms, Panels B and C of Table 4 report the mean characteristics for young and old firms separately. Younger firms are generally 10 Note that the 14.9% likelihood is not directly comparable to the likelihoods in Figure 1A, which use net equity issuance. Firms frequently repurchase shares to reduce the dilutive effect of employee stock option exercises. 15

smaller and have higher Tobin s Q than old firms. Young equity rs have slightly lower future stock returns than old equity rs. Cash needs are not incompatible with market timing motives because firms that are running out of cash can still choose between debt and equity. These firms could cite cash shortfalls to justify their equity decisions. Panel D of Table 4 reports the mean characteristics for firms that are running out of cash and issuing a security. Firms that are running out of cash and issuing only equity have an average 3-year buy-and-hold stock return from t+1 to t+3 of only 2.8%, suggesting that these firms are still able to time the market when choosing between debt and equity. It is difficult to justify this extremely low return with any risk adjustments. These findings suggest that some firms successfully time the market to equity and quickly spend the proceeds. Whether the low subsequent stock returns are because assets in place were overvalued or because negative NPV investments were undertaken can be partly identified by the use of an ex ante measure for cash shortfalls. Table 5 helps to evaluate the effects of our cash need measures and control variables on the propensities to securities. For each of the subgroups sorted by a variable, we compute the proportion of firm-years that fall into one of the four categories of security choices (or six categories when dual rs are added to the pure debt and pure equity categories). Firms with more cash are less likely to debt, but are more likely to equity. For firms in the first and fourth quartiles of Cash t-1 Assets t-1, the likelihoods of a pure debt are 24.6% and 9.8%, respectively. For firms in the first and fourth Cash t-1 Assets t-1 quartiles, the likelihoods of pure equity s are 6.4% and 11.9%, respectively. Among the free cash flow measures for different years, FCF t Assets t-1 stands out in explaining the likelihood of a debt in year t. For firms in the variable s first and fourth 16

quartiles, the likelihoods of debt s are 55.6% and 2.9%, respectively, differing by 52.7%, with the low FCF firms almost 20 times more likely to debt. Our ex ante measure, FCF t-1 Assets t-1, is also important for debt s. For debt s, FCF t+1 Assets t-1 and FCF t+2 Assets t- 1 are less important than FCF t-1 Assets t-1 and FCF t Assets t-1. The free cash flow measures from t- 1 to t+2 are important in explaining an equity in t. For firms in the first and fourth FCF t Assets t-1 quartiles, the probabilities of equity s are 27.3% and 4.8%, respectively, a difference of 22.5%, with the low free cash flow firms six times more likely to equity. For firms in the first and fourth FCF t-1 Assets t-1, FCF t+1 Assets t-1, FCF t+2 Assets t-1 quartiles, the probabilities of equity s differ by 16.2%, 16.8%, and 13.3%, respectively. These findings suggest that debt is d almost exclusively for immediate cash needs, while equity rs have large funding needs not only in the issuance year, but also before and after the issuance year. Cash ex post Assets t-1 is the predominant predictor for debt s. For firms in this variable s first and fourth quartiles, the likelihoods of a debt are 63.8% and 3.9%, respectively. Cash ex post Assets t-1 is also important for equity s, but much less important than for debt s. For firms in the variable s first and fourth quartiles, the likelihoods of equity s are 23.5% and 7.3%, respectively. Cash ex ante Assets t-1 is less dominant than Cash ex post Assets t-1, but still highly important for debt and equity issuances. Firms in the top quartile of Cash t Assets t-1 have the highest likelihood of an equity. Firms in the top quartile of Non-Cash t Assets t-1 have the highest likelihoods of debt and equity s. Tobin s Q is also an important predictor for equity s. For firms in the first and fourth quartiles of Tobin s Q, the likelihoods of an equity in a given year are 4.3% and 19.5%, respectively, differing by -15.2%, a pattern qualitatively similar to that reported in Table 2 of DDS. In contrast, Tobin s Q is not so strongly related to the likelihood of a pure debt. 17

These results are consistent with Figure 2. The stock return in year t-1 is positively related to the likelihood of both debt and equity s. The stock return from t+1 to t+3 is not as strongly related to the likelihood of a pure debt as it is to the likelihood of an equity. For a firm in the lowest quartile of future stock returns, the likelihood of an equity is 18.7%, suggesting that a significant proportion of firms with poor future stock performance are able to successfully time the market. Unconditional timing theories cannot explain why we do not see even more firms in the lowest quartile of future stock returns issuing equity. Most importantly, realized stock returns are largely determined by future surprises, such as the rise of tech stock valuations in the late 1990s. Among many potential other reasons, it is possible that the market will lower the valuation of an equity r if the managers fail to justify why they need to raise equity capital. Another possibility is that managers are overly optimistic about their companies even when the stocks are overvalued (Heaton (2002)). Table 5 shows that the term spread and the default spread are not important in predicting debt or equity s. Larger and older firms are less likely to equity, consistent with the corporate lifecycle theory. Firms in the lowest leverage quartile are the least likely to debt, inconsistent with the tradeoff theory, supporting the findings of Strebulaev and Yang (2013). Consistent with the precautionary saving theory, higher R&D firms, firms in an industry with higher cash flow volatility, and firms that do not pay dividends are more likely to equity. Overall, Table 5 suggests that the top predictors for debt s, as identified by the absolute value of the difference in the likelihood between the first and fourth quartiles, are Cash ex post Assets t-1, FCF t Assets t-1, Non-Cash t Assets t-1, Cash ex ante Assets t-1, Cash t-1 Assets t-1, and FCF t-1 Assets t-1. In comparison, the top predictors for equity s are FCF t Assets t-1, FCF t+1 Assets t-1, Cash ex post Assets t-1, FCF t-1 Assets t-1, Ln(Sales) t-1, and Tobin s Q t-1. 18

3. Regression results 3.1. The decision to a security and the choice between debt and equity Our earlier results suggest that it is important to estimate the marginal effects of our immediate and future cash need measures and other variables on security decisions. Table 6 reports the multinomial logit results for the decision to a security and the choice between debt and equity. The base category consists of firms that have no security. Panel A reports the coefficients and z-statistics, and Panel B reports the economic effects. Because the multinomial logit model is nonlinear, we focus our discussions on the economic effects. Regression (1) includes Cash t-1, FCF t, FCF t+1, and FCF t+2, all scaled by Assets t-1, as proxies for current and future cash needs. Panel B of Table 6 shows that, holding other independent variables at their actual values, an increase in Cash t-1 Assets t-1 from one standard deviation below to one standard deviation above its actual value on average decreases the probability of a debt by 27.9% (from 39.7% to 11.8%), and decreases the probability of an equity by 5.0% (from 13.8% to 8.8%). Our current free cash flow measure, FCF t Assets t-1, is the most important predictor for debt and equity s. A two standard deviation increase in FCF t Assets t-1 on average decreases the probability of a debt by 53.6% (from 60.0% to 6.4%) and the probability of an equity by 12.7% (from 18.4% to 5.7%), and increases the probability of no security by 60.1% (from 29.4% to 89.5%). Our near-future free cash flow measure, FCF t+1 Assets t-1, is still important but much less important than FCF t Assets t-1, especially for debt s. The economic effects of FCF t+1 Assets t-1 on debt s and equity s are -2.1% and -4.3%, respectively. Our remote-future free cash flow measure, FCF t+2 Assets t-1, is still important for equity s, 19

but has negligible effect for debt s. The economic effects of FCF t+2 Assets t-1 on debt and equity s are -0.3% and -2.2%, respectively. The economic effects of Tobin s Q t-1 for debt and equity s are -6.3% and 1.4%, respectively. 11 The economic effects of the stock return in year t-1 on debt and equity s are 1.6% and 2.0%, respectively. A two standard deviation increase in the stock return from t+1 to t+3 increases the likelihood of a debt by 0.5% and decreases the likelihood of an equity by 2.6%, consistent with the market timing literature. Firms are less likely to debt and more likely to equity when the default spread is high, consistent with debt market timing. Larger and older firms are less likely to equity, consistent with the lifecycle theory. The economic effects of firm size and age on the likelihood of equity s are -3.1% and -2.5%, respectively. High leverage firms are more likely to equity, consistent with the tradeoff theory. The economic effect of lagged leverage on equity s is 3.4%. Inconsistent with the tradeoff theory, however, the effect of lagged leverage on debt s is negligible. This finding, together with our earlier finding of the primary importance of immediate cash needs for debt s, are consistent with Denis and McKeon (2012), who conclude that most debt s are motivated by an immediate need for cash rather than a desire to rebalance capital structure. R&D intensive firms, firms in industries with high cash flow volatility, and non-dividend payers are more likely to equity, consistent with the precautionary saving theory. Reverse-causality timing theories could also explain the importance of our ex post free cash flow measures (Baker, Stein, and Wurgler (2003)). That is, companies that raise external capital have lower FCF t because they spend more and are less aggressive at controlling costs, 11 As discussed earlier, we require net size to be at least 5% of assets and 3% of market equity when defining a security. Consequently, the economic effects of Tobin s Q t-1 here are smaller than those in the literature (e.g., Huang and Ritter (2009)) that only require net size to be at least 5% of assets. For better comparison, we report the results that only require net size to be at least 5% of beginning-of-year assets in Tables A1-A3 in the Internet Appendix. 20

compared to if they had not raised external capital. To alleviate the reverse causality concern, in regression (2) we replace the ex post FCFs with FCF t-1. FCF t-1 Assets t-1 has much less predictive power than our ex post FCF measures, so we cannot rule out the effect of reverse causality on our ex post cash need measures. However, it is also possible that FCF t-1 Assets t-1 is not as good as the ex post FCF measures in capturing expected cash needs. 12 Reassuringly, the regression (2) results suggest that FCF t-1 Assets t-1 remains the primary predictor for debt s and is an important predictor for equity s. Its economic effects on debt and equity s are -8.3% and -5.6%, respectively, suggesting that the economic significance of our ex post FCF measures is not simply due to reverse causality. For equity s, FCF t-1 Assets t-1 is comparable in economic significance to firm size and the stock return from t+1 to t+3. Reverse-causality timing theories cannot explain the importance of FCF t-1 Assets t-1 for debt and equity s. The economic effects of our control variables are sometimes quite different in regressions (1) and (2). For example, the economic effect of Tobin s Q t-1 on a debt is -6.3% in regression (1), and -0.4% in regression (2). Such changes are partly because the correlations between our ex post FCF measures and the controls are different from the correlations between FCF t-1 and the controls. The year t, t+1, and t+2 values of FCF could be a response to the year t-1 stock return, Tobin s Q, and other control variables measured at the end of year t-1. 3.2. Securities issuances and cash changes Kim and Weisbach (2008) find that firms save 49.0 cents and 53.4 cents in cash for every dollar raised in the IPO and the SEO, respectively. They conclude that market timing plays an 12 Firms could raise capital later in a year to fund cash needs that become apparent earlier in the year. Our focus on Compustat annual data does not allow us to capture such effects. We thus check Compustat quarterly data to see if cash needs measured in the early quarters of a year increase the likelihood of issuing debt or equity in the later quarters of the year. We find that it is true, although the lagged quarter cash needs are less important than the current quarter cash needs in predicting debt and equity s. The results using the quarterly data are otherwise qualitatively similar to the results using the annual data, and are reported in Tables A4-A5 in the Internet Appendix. 21

important role in IPO and SEO decisions. McLean (2011) finds in his Table 6 that one dollar of equity raised results in a saving of 56.4 cents, suggesting that precautionary savings are an important motive. In this subsection, we decompose the cash change into three components on the basis of fundamentals, market timing motives, and other factors. We then relate the cash change and its components to securities proceeds. The results are reported in Table 7. Panel A of Table 7 reports the regression results using the cash change in year t Assets t-1 as the dependent variable, with fundamentals as the independent variables. We use Cash t-1 Assets t-1, Non-Cash Assets Assets t-1, FCF t+1 Assets t-1, and FCF t+2 Assets t-1 as proxies for current and future cash self-sufficiency. We include Non-Cash Assets Assets t-1 instead of FCF t Assets t-1 to reduce the temporary effects of concurrent internal cash flow and cash uses on the optimal cash change. Ln(Assets) t-1, Ln(Sales) t-1, and Ln(Age) t are lifecycle proxies. Leverage t-1 is a tradeoff proxy. R&D t-1, industry cash flow volatility t-1, and Dividend Payer t-1 are precautionary saving proxies. We also include firm fixed effects and year dummy variables to capture other effects of fundamentals. The regressions are estimated for the full sample, equity sample, and debt sample, respectively. Our results in Panel A are consistent with the literature on optimal cash holdings (Opler, Pinkowitz, Stulz, and Williamson (1999)). In all three regressions, firms with a higher Cash t-1 Assets t-1 and a smaller increase in non-cash assets are associated with a smaller cash increase. Our proxies for near-future and remote cash self-sufficiency, FCF t+1 Assets t-1 and FCF t+2 Assets t-1, respectively, are negatively related to the cash increase. In all three regressions, Ln(Assets) t-1 is negatively associated with cash changes, consistent with the lifecycle theory. However, after controlling for Ln(Assets) t-1, the coefficients on Ln(Sales) t-1 are positive and statistically significant in all regressions and the coefficients on 22

Ln(Age) t are positive and statistically significant in regressions (1) and (3), inconsistent with the lifecycle theory. 13 The coefficients on R&D t-1 are positive and statistically significant in all regressions. In regression (3), the coefficient on industry cash flow volatility is positive and statistically significant at the ten percent level. The findings are generally consistent with the precautionary saving theory. The regressions in Panel B of Table 7 use the residuals from the regressions in Panel A as the dependent variable, and timing proxies as the independent variables. Even after purging the effects of the fundamentals, the timing proxies are important predictors for cash changes. In all three regressions, the coefficients on Tobin s Q t-1 are positive and statistically significant, suggesting that firms with a higher Tobin s Q t-1 are associated with larger cash increases. The coefficient on Tobin s Q t-1 is the largest for the equity sample. The coefficient on the stock return in year t-1 is positive and statistically significant in regression (1), suggesting that firms with stock price runups are associated with larger cash increases. The coefficients on the stock return from t+1 to t+3 are negative and statistically significant in all three regressions, suggesting that firms stockpile cash prior to low stock returns. The coefficient is the largest for the equity sample, consistent with the literature on equity market timing. The coefficients on the default spread are positive and statistically significant in all regressions, suggesting that firms increase cash by more when the default spread is higher. In Panel C of Table 7, we present the results of 12 regressions, expressed as rows rather than columns. Following Kim and Weisbach (2008) and McLean (2011), we first relate debt and equity proceeds to the cash change in regressions (1), (5), and (9). We then go one step further by linking debt and equity proceeds to three components of the cash change. The 13 If we drop Ln(Assets) t-1, however, the coefficient on Ln(Sales) t-1 becomes negative in each regression and statistically significant in regressions (1) and (3). We report the results with Ln(Assets) t-1 in Panel A of Table 7 because we want to more fully control for the effects of fundamentals on cash changes. 23