The Negative Effects of Managerial Incentives on Operating Lease Intensity

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1 The Negative Effects of Managerial Incentives on Operating Lease Intensity Erik Devos Department of Economics and Finance College of Business Administration University of Texas at El Paso El Paso, TX He Li Department of Economics and Finance College of Business Administration University of Texas at El Paso El Paso, TX utep.edu December 2016 Corresponding author. We thank Tim Roth, Emma Xu, Jim Upson, Eddie Wei, and seminar participants at the University of Texas El Paso for comments. The authors retain the responsibility for any remaining errors.

2 The Negative Effects of Managerial Incentives on Operating Lease Intensity Abstract Based on the idea that operating leases have the attributes that allow them to serve as hedges on the assets of the firm, we provide evidence of a negative relation between CEO risk-taking incentives and firms operating lease intensity. Using both equity- and asset-based measures of managerial incentives (vega) and controlling for CEO pay-performance sensitivity (delta), we find that a $1 million increase in the sensitivity of the CEO s wealth to changes in the firm s stock return volatility (equity-based vega), or to changes in the firm s asset volatility (asset-based vega) leads to a 40.25%, or 16.21% decrease in the use of operating leases. Our empirical results are robust to alternative econometric models and alternative measures of operating lease intensity. 1

3 I. Introduction Operating leases are an important financing vehicle for firms in the U.S. In 2015 the average U.S. Compustat firm had an (operating) lease intensity of about 33%. This dependency on leases is not recent, for example, Graham, Lemmon, and Schallheim (1998) find that operating leases total about 43% of fixed claims. 1 Despite the importance of leasing, it is surprising that leasing has been essentially ignored in the theoretical and empirical literature (Eisfeldt and Rampini, 2009, p.1624). Historically, leasing has been studied in the context of the lease-versus-buy decision, and early studies focused on the role of taxes in explaining the use of leases (e.g., Franks and Hodges, 1978; Miller and Upton 1976, Myers, Dill and Bautista, 1976) 2 finding that leases are generally negatively related to firms tax liabilities. Somewhat more recent leasing literature investigates the role of financial contracting by focusing on the effects of ownership structure (Flath, 1980; Mehran, Taggart and Yermack, 1999; Smith and Wakeman, 1985) and the investment-opportunity set (Barclay and Smith, 1995; Smith and Wakeman, 1985; Stulz and Johnson, 1985; Williamson, 1988) on firms lease intensity and suggests that higher levels of managerial ownership and greater growth opportunities are associated with higher levels of lease financing. This strand of literature also stresses the effects of transaction costs on leasing as leases can be used to minimize transaction costs when the life of the capital equipment exceeds its usefulness (Flath, 1980; Sharpe and Nguyen, 1995; Smith and Wakeman, 1985). Lastly, there is literature that examines corporate leases from an information asymmetry and agency cost perspective. For example, Robicheaux, Fu, and Ligon (2008) document that leasing is a mechanism used to reduce agency costs of debt and 1 Operating lease intensity is defined as operating leases divided by fixed claims. For reasons explained later in this section, we focus our paper on operating leases and do not include capital leases in our analyses. 2 See also Graham, et al. (1998), Ross, Westerfield and Jaffe (1996), and Smith and Wakeman (1985). 2

4 can be used as a complement to other agency cost reducing measures. And, Devos and Rahman (2014) find that rural firms have lower lease intensities, due to greater information asymmetry between the lessor and the lessee. 3 One important property of leases that is recognized in the lease valuation literature are the embedded options associated with leasing contracts. For example, McConnell and Schallheim (1983) develop a general model for valuing different types of lease contracts under a compound option framework. And, similarly, Grenadier (1995) builds a unified framework for pricing a variety of leasing contracts using a real-option approach. The underlying economic concept of these valuation models is that leasing allows the separation of ownership from use, with the lessee receiving the benefits of the use and the lessor receiving lease payments and absorbing the risk of obsolescence and decrease in the assets residual value. For example, a lease can be characterized as s a portfolio of an asset and an option on that asset. This characterization of leasing is also provided by Smith (1979). Importantly, the real-options embedded in leasing contracts should allow for hedging of firms asset risk through these leases. However, surprisingly missing from the leasing literature is an examination of the role this hedging property of lease contracts plays in the corporate leaseversus-buy decision. To fill this gap in the literature, in this paper, we argue that the real-option feature of leasing contracts serves as a potential hedging mechanism on firm asset risk. And, because the CEO s incentive compensations have a substantial influence on executives hedging activities (Akron and Benninga, 2013), risk-taking incentives should also have a significant impact 3 In addition, there is a substantial literature that examines the substitutability between debt and leasing. Empirical results in this area are mixed. On the one hand, both debt and lease contracts subject firms to fixed claims, and thus could be substitutes (Bayless and Diltz, 1986; Krishnan and Moyer, 1994; Marston and Harris, 1988; Mukherjee, 1991). On the other hand, a number of empirical studies have found opposing evidence of a positive relationship between debt and leasing (Ang and Peterson, 1984; Bowman, 1980; Finucane, 1988). 3

5 on the firm s operating lease intensity. In particular, greater risk-taking incentives discourage hedging and should be negatively related to the use of corporate leases. The reason we hypothesize that there is a negative relationship between the CEO s risktaking incentives and operating lease intensity is simple. In order for a leasing contract to have hedging properties, the contract has to require the transfer of the risk in the asset s residual value from the lessee to the lessor. This can only occur if the lessor retains the ownership of the asset. The IRS defines this type of lease as true leases, whereas leasing contracts that give the lessee the ownership of the asset are defined as nontrue leases (Graham, et al. 1998). In terms of financial accounting standards, a lease contract can be classified as either an operating lease, or a capital lease. Operating leases consist only of true leases, and capital leases can be a mixture of true and nontrue leases, which can generate results that are difficult to interpret. Hence, we focus our study on operating leases. To measure CEO risk-taking incentives, we first use the sensitivity of a CEO s wealth to firms stock volatility (vega). This measure is extensively used in the literature. For example, Coles, Daniel, and Naveen (2006) find that, controlling for pay-performance sensitivity (delta), higher vega leads to riskier policy choices. While equity-based vega is directly linked to the incentive to take equity risk, it arises only from option grants, and does not reflect the incentives from stock holdings to undertake asset risk. Therefore, in order to examine how a CEO s risk attitude affects the tendency to hedge asset risk through leasing, we also use a measure of risktaking incentives that links the CEO s wealth to the firm s asset volatility. Following Chesney, Stromberg, and Wagner (2012), we construct asset-based delta and asset-based vega and examine the effects of both equity- and asset-based risk-taking incentives on operating leases. Consistent with our main hypothesis, our Tobit regression results show that, controlling for pay-performance 4

6 sensitivity (delta), when the sensitivity of the CEO s wealth to a one percentage point increase in the standard deviation of the firm s stock return (equity-based vega) increases by $1 million, operating lease intensity decreases by approximately 4.28%. At the same time, when the sensitivity of the CEO s wealth to a one percentage point increase in the firm s asset volatility (asset-based vega) increases by $1 million, operating lease intensity decreases by approximately 1.51%. Importantly, these results remain robust when we control for industry and year fixed effects. To ensure that our findings are empirically sound, we conduct several robustness tests. First, there could be a concern that there may be endogeneity when investigating the relation between risk-taking incentives and corporate leasing policy. On one hand, managerial incentives and (financing) policy choices may be jointly determined (Coles et al., 2006). In other words, the parameter estimates from the Tobit regression may be biased when delta and vega are determined endogenously, along with operating lease intensity, by a common set of firm characteristics. On the other hand, although the Tobit regressions suggest a negatively relation between operating lease intensity and risk-taking incentives, the direction in which causality may run is unclear. While risk-taking incentives can have an impact on operating lease intensity, leasing policy may also change the firm s return and volatility, which, in turn, can lead to changes risk-taking incentives. To address these issues, we first employ an exogenous shock to the use of executive option grants. The Financial Accounting Standards Board (FASB) Final Incentive Stock Option Regulations in 2004 stipulate the expensing requirement of option grants and a set of requirements that stock option plans must meet in order to qualify for favorable tax benefits. These include the maximum number of options issued, exercise price, shareholders approval, etc. The requirements outlined in the Final Regulations make stock option compensation less appealing for both corporations and executives, due to its negative effect on firms earnings and by lowering exercise 5

7 prices. And, indeed we do find that CEO risk-taking incentives decreased from 2003 to This exogenous reduction in CEO risk-taking incentives allows us to isolate the possible concern that CEO compensation is endogenously determined. We find that, using this reduction in risk taking incentives, our results and conclusions do not change. 4 To address the concern that corporate leasing policy can affect firms returns and volatility, and thus can have a feedback effect on CEO risk-taking incentives, we follow Coles et al. (2006) and test our hypothesis using a simultaneous equation model. We obtain results similar to those obtained in our earlier analyses, albeit with stronger economic significance. Controlling for payperformance sensitivity (delta), a $1 million increase equity-based vega leads to 40.25% decrease in operating lease intensity, and a $1 million increase in asset-based vega leads to 16.21% decrease operating lease intensity. Moreover, our results remain unchanged when we employ an alternative measure of operating lease intensity. Our study first contributes to the literature by connecting research that uses an optionpricing framework to value lease contracts to research that examines the determinants of corporate leasing. Second, to our knowledge, the only two studies that link managerial compensation and lease intensity are Mehran et al. (1999) and Robicheaux et al. (2008). Mehran et al. (1999) argue that high CEO stock ownership encourages more leasing, as a mechanism to reduce asset-specific risk. Robicheaux et al. (2008) suggest that leasing serves as a mechanism to reduce the agency cost of debt, and is used as a complement to other agency cost reducing mechanisms. Both studies find a positive relationship between incentive compensation and lease intensity. However, ignored in these two studies is the risk-inducing effect of incentive compensation, which can discourage 4 Note that we do not use the asset-based incentives measure in these particular tests, because asset-based vega results from not only option grants, but also stock holdings. Although the FASB Final Regulations decreases option grants, firms could substitute options with stocks, leading to unpredictable changes in asset-based vega. 6

8 leasing. To our knowledge, our paper is the first to examine this effect. After controlling for payperformance sensitivity, we present robust evidence that CEO s risk-taking incentives have a negative effect on operating lease intensity. Third, our paper contributes to the literature by employing asset-based incentive measures. These measures, developed in Chesney et al. (2012), have only been sparsely used in managerial compensation research. Most research uses equitybased incentive measures. However, equity based measures neglect the risk-taking incentives stemming from stock holdings. As Chesney et al. (2012) argue, for policy choices concerning asset risk, instead of solely equity risk, the risk-taking incentives from stock holdings should not be ignored. By documenting the effects of asset-based risk-taking incentives on corporate operating lease intensity, our study provides validation of this alternative incentive measure. The rest of the paper is organized as follows. Section II reviews related literature and develops the main hypothesis. Section III describes our sample and presents summary statistics. Section IV provides empirical evidence supporting our main hypothesis. Section V reports the results of our robustness tests. Finally, Section VI concludes. II. Literature Review and Hypotheses Development A. Determinants of Corporate Lease Intensity The vast majority of the corporate leasing literature attempts to identify leasing determinants. Early research suggests an important role for taxes. This literature suggests that lease financing displaces other forms of borrowing, and this is caused by tax effects (Franks and Hodges, 1978; Miller and Upton, 1976; Myers et al., 1976). While interest on debt and lease payments are tax deductible, ownership of the asset generates additional tax benefits, in the form of depreciation 7

9 tax shields. Hence, a lease contract, which does not give the lessee ownership of the asset, transfers the tax benefit to the lessor, to whom the associated tax shields may be more valuable. Therefore, the tax-based explanations suggest that tax liability is negatively related to the lease activity. This prediction is supported by empirical evidence. For example, Barclay and Smith (1995) and Sharpe and Nguyen (1995) find that the presence of tax loss carryforwards is associated with greater lease intensity. Furthermore, Graham et al. (1998) document a positive relationship between tax rates and the use of debt and a negative relationship between tax rates and leasing. Related to the tax argument, a stream of research examines whether leasing is used as a substitute to debt financing. Theoretically, both financing methods represent a firm s commitment to fixed payments and thus should be substitutes. However, empirical evidence concerning this issue is inconclusive. Whereas Bayless and Diltz (1986), Krishnan and Moyer (1994), Martson and Harris (1988), and Mukherjee (1991) document evidence of substitution, Ang and Peterson (1984), Bowman (1980), and Finucane (1988) find debt and leasing tend to be complementary. The positive relation between debt and leasing may arise from firm characteristics that are conducive to both debt and leasing (Mehran et al., 1999). Furthermore, Lewis and Schallheim (1992) suggest that when the lessee transfers tax benefits to the lessor, tax deductions may become more valuable and, at the margin, encourage the lessee to increase debt levels. A second strand of leasing research examines their determinants from a financial contracting perspective. Besides tax status, the financial contracting literature identifies two firm characteristics that may influence the way a firm acquires new assets: ownership structure and the investment opportunities set (Mehran et al. 1999). First, regarding ownership structure, both debt and leasing expose owners to fixed obligations, but leasing allows the lessee to avoid asset value risk. And, as managerial ownership increases, managers attempt to avoid risk. Therefore, this 8

10 literature predicts that managerial ownership should be associated with higher leasing intensity. Mehran et al. (1999) provide empirical evidence supporting this prediction. Second, the nature of a firm s investment opportunities may have an effect on the conflicts between shareholders and fixed-claim holders. For example, Myers (1977) suggests that firms with greater growth opportunities should limit the use of debt to avoid underinvestment. Meanwhile, Stulz and Johnson (1985) argue that senior claims, such as leasing, can limit the wealth transfer from shareholders to bondholders and thus mitigate the underinvestment problem. Consistent with this argument, Smith and Wakeman (1985) argue that, for a given amount of fixed claims, firms with greater growth opportunities tend to lease more. Other empirical results regarding growth opportunities are mixed. While Barclay and Smith (1995) find that the market-to-book ratio is positively related to leasing, Graham et al. (1998) find the opposite. Other literature in this area focuses on the effect of financial contracting costs. For example, Finucane (1988) documents a positive relation between leasing and the use of mortgage debt. Sharpe and Nguyen (1995) and Krishnan and Moyer (1994) show that financially constrained firms are more likely to lease. Besides the tax and financial contracting arguments, some studies examine leasing from an agency cost perspective. For example, Robicheaux et al. (2008) argue that leasing is a mechanism that reduces agency cost of debt and is used along with other agency cost reducing mechanisms. They provide evidence that firms that use more incentive compensation and have more outside directors tend to lease more. Finally, Devos and Rahman (2014) suggest that leasing is associated with agency costs as well, as they find that rural firms have lower lease intensity, due to the difficulties that the lessor faces in monitoring the use of the leased asset. B. Option-based Valuation of Leasing Contracts 9

11 The valuation of lease contracts is another prominent focus of the leasing literature. Theoretical studies that develop valuation models are mostly built on option-pricing theory. For example, McConnell and Schallheim (1983) build a general pricing model for seven types of lease contracts under a compound option pricing framework. Similarly, Grenadier (1995) develops a unified pricing model for the entire term-structure of lease rates, using a real-option approach. It is important to note that these option-valuation pricing models for leasing are designed for contracts that require the lessor to retain ownership of the asset, or true leases. In other words, the lessee of the contract receives the benefits of the use, whereas the lessor receives the lease payments and bears the risks associated with the asset s residual value. As an example, Grenadier (1995) suggests that the value of a T-year lease on an asset is equivalent to a portfolio that simultaneously purchases the asset and writes a European call option on the asset with maturity T and exercise price zero. While this example in Grenadier (1995) illustrates the intuition behind the option feature of leasing clearly, it can be refined to reflect the characteristics of different types of leases. For example, consider the following T-year lease: 1. At time 0, the market value of the asset is V0; and suppose that at time T, the market value of the asset is VT; 2. The annual lease payment is p and the present value of all lease payments equals PVT; 3. At the end of year T, the lessee is required to return the asset to the lessor. By entering the contract, the lessee, in this case, constructs a portfolio that purchases the asset at time 0 for price V0, and simultaneously takes a short position in a futures contract on the asset that 10

12 requires the sale of the asset at time T and the predetermined sales price equals the future value of V0 PVT. At the end of the leasing term, both the lease contract and the portfolio leave the lessee with no ownership of the asset, and the total cost to the lessee is PVT in both cases. Alternatively, if the contract above gives the lessee the option to purchase the asset at the end of the leasing term at price PT, this contract can be viewed as economically equivalent to a portfolio that purchases the asset at time 0 for price V0, and simultaneously takes a long position in a European put option on the asset with maturity T, with a premium equal to PVT plus the present value of PT, minus V0, and an exercise price equal to PT. And, at time T, if VT < PT, the lessee will not purchase the asset, which is equivalent to exercising the put option and selling the asset back to the lessor at price PT. In this case, the total cost that the lessee incurs for this lease equals PVT. Oppositely, if at time T, VT > PT, the lessee will purchase the asset at price PT, which is equivalent to letting the put option expire without exercising, in which case, the lessee s total cost is PVT plus the present value of PT. Again, both the leasing contract and the portfolio leave the lessee with the same position in the asset, and yield the same cost. In both examples above, the lease contracts allow the ownership of the asset to remain with the lessor and allow the lessee to lock the total cost of using the asset at PVT, without bearing the risk of a loss in asset value at time T. In addition, when the lease contract offers a purchase option at maturity, it gives the lessee the flexibility to decide whether to acquire ownership of the asset, based on the contemporary market value and the predetermined purchase price. Therefore, the real option feature embedded in both contracts offers a hedging mechanism to the lessee against the risk of adverse changes in the asset s residual value. In the next section, we develop our main hypothesis based on this hedging property of lease contracts. 11

13 C. Hypotheses Development CEO incentives have been shown to have a significant influence on executives hedging activities. For example, Akron and Benninga (2013) find that managerial over-hedging increases with equity-linked compensation levels. Similarly, Coles et al. (2006) find that higher CEO risktaking incentives are associated with riskier policy choices. Therefore, if leasing serves as a hedging mechanism on a firm s assets value, the CEO s risk-taking incentives should play an important role in the decision to lease. Specifically, we argue that CEO s risk-taking incentives discourage hedging and thus are negatively related to lease intensity. However, as discussed above, the hedging feature of leasing only pertains to leases that allow the lessor to retain the ownership of the leased assets. From the tax authority s perspective, this type of lease is defined as a true lease, whereas leases that involve the transfer of ownership from the lessor to the lessee is referred to as nontrue leases (Graham et al. (1998)). Clearly, only true leases possess the required feature. However, the classification of leasing from a financial accounting perspective is different from the IRS classification. Specifically, a lease contract can be classified as either a capital lease or an operating lease. With the establishment of a capital lease, the lessee capitalizes the asset and records the associated debt obligation on the balance sheet. In contrast, an operating lease represents off-balance-sheet finance and is only reflected in the income statement as rent expenses (Sharpe and Nguyen, 1995). So, from a firm s financial statements, one can only separate capital leases from operating leases. However, one cannot easily differentiate between true leases and nontrue leases. The Statement of Financial Accounting Standards (SFAS) No. 13 outlines four criteria that apply to capital leases. Specifically, a lease is defined as a capital lease if it meets at least one of the following criteria: 12

14 1. Ownership of the asset is transferred to the lessee at the end of the lease contract; 2. A bargain purchase option is available; 3. The lease term is equal to 75% or more of the remaining economic life of the asset; 4. The present value of lease payments equals to or exceeds 90% of the asset s market value. Although the second criterion represents the lease contract with a purchase option illustrated in Section II B, leases that meet any of the other three criteria do not offer hedging advantages. In other words, capital leases are a mixture of true and nontrue leases, whereas operating leases can be considered to consist of only true leases (Graham et al. (1998)). Accordingly, we hypothesize that CEO s risk-taking incentives are negatively related to firms operating lease intensity. D. Equity- versus Asset-based Managerial Incentives The sensitivities of CEO s wealth to changes in firm performance and performance volatility are some of the most used measures of managerial incentives. Specifically, delta measures the dollar change in wealth to a 1% increase in stock return, and vega measures the dollar change in wealth to a 1% increase in stock volatility. A number of empirical studies link these incentive measures to various performance indicators. For example, Guay (1999) shows that stock return volatility is contemporaneously associated with CEO vega. Cohen, Hall, and Viceira (2000) find that CEO vega is positively related with leverage and stock volatility. Additionally, Rajgopal and Shevlin (2002) document a positive relation between oil exploration risk and lagged vega. Rogers (2002) argues that, while these studies provide evidence of an association between firm risk-taking policy and managerial risk-taking incentives, they do not establish a clear causal 13

15 relation. Coles et al. (2006) address this endogeneity by assuming that shareholders choose vega, along with delta, in order to implement second-best, value-maximizing policies. They provide evidence that, controlling for delta, a higher vega leads to riskier policy choices. While prior literature provides considerable evidence suggesting a role of managerial risktaking incentives in corporate policy choices, Chesney et al. (2012) argue that two potentially troublesome issues exist when using the delta and vega measures that are used in the prior literature. First, existing studies link equity-based vega, which measures the incentives of the CEO to increase stock return volatility, to policy measures concerning the firm s asset risk. This is potentially troublesome as researchers may end up mixing asset risk and financial (leverage) risk. Second, equity-based vega neglects the incentives embeded in stock holdings to take equity risk. However, the incentives from stock ownership to take asset risk can be significant. To address these issues, Chesney et al. (2012) construct measures of incentives that directly link to firms asset value and asset volatility, asset-based delta and vega. Specifically, they treat stocks as options on the firm s asset value, because they represent contigent claims on the firm s assets. Similarly, stock options, which represent contigent claims on the firm s shares, are treated as compound options on the firm s asset value (Merton, 1974; Geske, 1979). Viewing stocks as contingent claims on a firm s asset adds substantial incentives for the CEO to take asset risk. The Chesney et al. (2012) study documents that controlling for pay-performance sensitivity, asset-based vega is significantly higher than equity-based vega. In particular, for their sample firms, the ratio of assetbased vega to asset-based delta is, on average, 50% higher than the ratio of equity-based vega to equity-based delta, which suggests that asset-based measures reflect stronger risk-taking incentives than equity-based measures. 14

16 Since the aim of our study is to examine operating leases as a potential hedging instrument for a firm s assets, we deem it appropriate to also employ risk-taking incentive measures that directly link to the firm s asset value and volatility. Hence, in our empirical analyses, we examine the effects of both equity-based and asset-based incentive measures on operating lease intensity. III. Sample Description A. Sample Construction and Data Source We begin our sample construction with all non-financial Compustat firms, for which total assets and operating lease information is available, between 1992 and Then, we calculate incentive measures for all CEOs, for whom compensation data is available on Execucomp, during the same period. To calculate equity-based delta and vega, we obtain monthly stock return data from CRSP and risk-free rates from the Federal Reserve Bank Reports. In addition, to construct the asset-based delta and vega, we obtain weekly US corporate 7-year bond effective yields, from Merrill Lynch Bank of America. The bond yield data starts December Hence, we are able construct equity-based delta and vega for the years 1992 to 2015, and asset-based delta and vega for the years 1997 to To get our final sample we merge the CEO incentive measures to the corresponding firm-year data from Compustat. We end up with 32,599 firm-year observations for which we are able to calculate at least one of the incentive measures. B. Variable Construction The main dependent variable in our analyses is operating lease intensity. Following Graham et al. (1998), we measure operating lease intensity (Opl_fc), as operating leases divided 15

17 by the fixed claim deflator, where operating leases are calculated as current rental expense plus the present value of operating lease commitments for the next five years, discounted at 10% (Graham, et al. (1998)), and the fixed claim deflator is defined as the book value of long-term debt plus the present value of operating leases. Because this variable is central to all our analysis, we require this variable to be available for all our sample firm-years. This requirement decreases our sample size from 32,599 firm-year observations to 18,092 firm-year observations. As mentioned earlier in the paper, the main independent variables in our paper measure CEOs risk-taking incentives. Delta_eq is the equity-based delta, which measures the dollar change in the CEO s wealth, associated with a one percentage point increase in the firm s stock price (in $ millions). Delta_at is the asset-based delta, which measures the dollar change in the CEO s wealth associated with a one percentage point increase in the firm s asset value (in $ millions). Vega_eq is the equity-based vega, measuring the dollar change in the CEO s wealth associated with a one percentage point increase in the firm s stock return volatility (in $ millions). And Vega_at is the asset-based vega, measuring the dollar change in the CEO s wealth associated with a one percentage point increase in the firm s asset volatility (in $ millions). We provide details of the calculations of Delta_eq, Delta_at, Vega_eq and Vega_at in appendix A. Following prior literature, we also include a host of control variables in our analysis. On the CEO level, we control for CashComp, which is total current compensation (salary plus bonus, in $ thousands), and CEO Tenure (in years) 5. As firm level control variables we use: LogSale, defined as the natural logarithm of total sales; Leverage, defined as the sum of long-term debt and debt in current liabilities, divided by the sum of long-term debt, debt in current liabilities, and the market value of common stock; Rating, a dummy variable that takes the value of 1 if a firm has an 5 These last two variables come from Execucomp, all other financial data are from Compustat. 16

18 S&P domestic long-term issuer credit rating, zero otherwise; Earning, calculated as EBITDA divided by sales; Oeneg, is a dummy variable equal to 1 if the book value of common equity is negative, zero otherwise; NoDiv, a dummy variable equal to 1 if a firm pays no dividends in a given year, zero otherwise; Volatility, defined as the annualized 36-month rolling standard deviation of monthly stock returns; MB, calculated as the book value of assets minus the book value of common equity plus the market value of common equity, divided by the book value of assets; AgePPE, which measures equipment age and is calculated as one minus the ratio of net PPE to gross PPE; TaxRate, defined as income taxes divided by pretax income; Ltloss, a dummy variable that takes the value of 1 if a firm has a tax-loss carryforward exceeding current-year EBITDA, zero otherwise; Stloss, a dummy variable that takes the value of 1 if a firm has a taxloss carryforward not exceeding current-year EBITDA, zero otherwise. C. Summary Statistics Table I contains the summary statistics of the sample. When it comes to CEO characteristics, CEOs have a mean (median) Delta_eq of (0.1569), whereas the mean (median) Delta_at is (0.0910). The mean (median) Vega_eq is (0.0121) and the mean (median) Vega_at is (0.0032). We also find that the average (median) CEO tenure of the CEOs in our sample is approximately 7 (5) years and that the average median CEO cash compensation is $1,224,500 ($915,000). Sample firms have an average operating lease intensity of 39.30%, measured by Opl_fc, with a median of 23.44% and a standard deviation of 35.59%. In addition, 52.06% of the sample firms have S&P public debt ratings, 43.43% do not pay dividends, 12.08% report large tax-loss carryforwards, measured by Ltloss, and 26.12% report small tax-loss carryforwards, measured by 17

19 Stloss. The mean (median) of Leverage, Earning, Volatility, and MB, are 20.37% (15.34%), 15.95% (14.52%), 40.76% (36.27%) and (1.6112), respectively. The mean of LogSale is about 7.35, which corresponds to total sales of about $1,554 million. Clearly, our sample firms are much larger than the average Compustat firm. This is not surprising given that in order to be part of our sample, Execucomp data are required and Execucomp only reports data for the 1,500 largest firms, or so. D. Equity- versus Asset-based Incentives First, we present correlation coefficients, from a simple Pearson correlation test, of our equity-based and asset-based incentive measures Table II presents the correlation coefficients between Delta_eq, Delta_at, Vega_eq and Vega_at. Whereas Delta_eq and Delta_at are highly correlated (the correlation coefficient is ), the correlation between Vega_eq and Vega_at is only This result seems to confirm the notion that taking stock holdings into consideration results in significantly different levels of risk-taking incentives. To further investigate differences between our incentive measures, we conduct t-tests and report the results of this analysis in Table III. At first glance, the full sample has a higher mean of Delta_eq, compared to the mean of Delta_at. The difference in means is highly significant (the T Stat is 19.37). However, after dividing the sample into four quartiles based on financial leverage (Leverage), we find that when we move from the lowest to the highest leverage quartile, both Delta_eq and the extent to which Delta_eq exceeds Delta_at decreases monotonically. When we investigate vega we find a different pattern. First, we find that Vega_at is higher than Vega_eq for the full sample, as indicated by a T Stat of When we divide the sample into quarters based on Leverage, we find that Vega_eq exceeds Vega_at in the two lower Leverage 18

20 quartiles, but Vega_at is higher than Vega_eq in the two higher Leverage quartiles. This suggests that the difference between the equity-based and asset-based risk-taking incentive measures may be driven by firm leverage. As leverage increases, the asset-based measure suggests stronger risktaking incentives than the equity-based measure. As Coles et al. (2006) suggest, when examining the effects related to vega, it is important to control for delta. Therefore, we also provide univariate comparisons of the ratios of vega to delta between our equity- and asset-based measures. Doing so, which effectively controls for delta, we find that our sample firms have higher Vega_at, when compared to Vega_eq. As shown in the bottom row of the Table, the ratio of Vega_at to Delta_at is significantly higher than the ratio of Vega_eq to Delta_eq for the full sample (the T Stat is ) Interestingly, as firms financial leverage increases, the extent to which the ratio of Vega_at to Delta_at exceeds the ratio of Vega_eq to Delta_eq increases monotonically. This evidence is consistent with what was found when Vega_eq and Vega_at were compared. This finding suggests that incentives to take asset risk stemming from stock holdings increase when debt ratios increase. This finding is consistent with the tendency of stockholders to expropriate debtholders wealth (Jensen and Meckling, 1976). E. Univariate Analysis: Operating Lease Intensity and CEO Incentives In Table IV, we report univariate evidence suggesting that there is a link between operating lease intensity and CEO s risk-taking incentives. Because Coles et al. (2006) suggest that the empirical evidence of the effect of delta on risk-taking is unclear (Guay, 1999; John and John 1993), we focus our analysis on the effect of vega, while controlling for delta. Specifically, we divide our sample into four quartiles based on measures of vega and the ratio of vega to delta, and 19

21 compare mean operating lease intensities (Opl_fc) of the lowest and the highest quartiles. The differences in operating lease intensity between the quartiles are striking. The lowest Vega_eq quartile has an average operating lease intensity of about 49%, whereas the highest Vega_eq quartile has a mean operating lease intensity of about 36%. These means are different from each other at the 1% level and suggest that there is a negative relation between equity vega and operating lease intensity. We find very similar results when we use of Vega_at as our incentive measure. There is a highly significant difference between the mean operating lease intensities of the lowest (58%) and highest (25%) Vega_at quartiles. These results continue to hold when we control for delta. In particular, when firms are divided into quartiles based on the ratio of Vega_eq to Delta_eq, Opl_fc, the means of the lowest quartiles are always lower than those of the highest quartiles, and they are significantly different from each other. Overall, the evidence presented in this table is consistent with our main hypothesis that operating leases serve as hedging instruments on the asset of the firm, leading to a negative relation between CEO risk-taking incentives and operating lease intensity. IV. Empirical Results: Managerial Incentives and Operating Leases To test our main hypothesis in a multivariate setting, we employ the following base models: Opl_fci,t = α0 + α1vegai,t + α2logsalei,t + α3leveragei,t + α4ratingi,t + α5earningi,t + α6oenegi,t + α7nodivi,t + α8mbi,t + α9ageppei,t + α10taxratei,t + α11ltlossi,t + α12stlossi,t + εi,t (1), 20

22 Opl_fci,t = β0 + β1vegai,t + β2deltai,t + β3logsalei,t + β4leveragei,t + β5ratingi,t + β6earningi,t + β7oenegi,t + β8nodivi,t + β9mbi,t + β10ageppei,t + β11taxratei,t + β12ltlossi,t + β13stlossi,t + μi,t (2), where Vegai,t is measured by Vega_eq and Vega_at, and Deltai,t is measured by Delta_eq and Delta_at. If operating leases are used as hedging instruments on the firms assets, we should expect that higher CEO risk-taking incentives, Vegai,t, leads to lower Opl_fc, thus α1 and β1 should be negative and significant. As suggested in Coles et al. (2006), we control for pay-performance sensitivity, Deltai,t, in model (2), but do not form a prediction of the sign of β2, given the ambiguous effects of delta on risk-taking (Coles, et al. 2006; Guay, 1999; John and John 1993). Because the dependent variable Opl_fc is a ratio censored between 0 and 1, we employ a Tobit regression model in addition to a regular OLS regression model. Table V reports the regression estimates of models (1) and (2), using both equity-based and asset-based incentive measures and a Tobit regression model. As expected, the coefficients on both Vega_eq and Vega_at are negatively and significantly related to Opl_fc. Specifically, when Vega_eq increases by $1 million, operating lease intensity goes down by approximately 2.88%. The results continue to hold after we control for Delta_eq. Here, economically, after controlling for Delta_eq, when Vega_eq increases by $1 million, operating lease intensity goes down by approximately 4.28%. The regressions using asset-based incentive measures produce similar results. In particular, without controlling for delta, we find that when Vega_at increases by $1 million, operating lease intensity goes down by approximately 2.76%. And, after controlling for Delta_at, a $1 million increase in Vega_at leads to 1.51% lower operating lease intensity (albeit that this is not statistically significant, with a t-value of 1.61). We also observe patterns from 21

23 several control variables. For example, firms with long-term credit rating (Rating) and debt tend to lease less, indicating substitutability between debt and leasing in our sample. Furthermore, firms that have negative common equity (Oeneg) or pay no dividend (NoDiv) tend to lease more. This evidence is consistent with the idea that financially distressed firms and firms with higher external financing cost tend to use leasing to economize fixed capital costs (Sharpe and Nguyen, 1995; Graham et al., 1998). Overall, the analyses using the base regressions (equations (1) and (2)) support our main hypothesis that higher CEO risk-taking incentives lead to a lower operating lease intensity. In the following section, we perform some additional analyses to investigate the robustness of these results. V. Robustness Tests A. FASB Final Incentive Stock Option Regulations A possible endogeneity concern about the results obtained above may arise. It is possible that managerial incentives and (financing) policy choices are jointly determined by a common set of firm characteristics (Coles et al., 2006). Moreover, the negative relation between risk-taking incentives and operating lease intensity does not suggest a clear direction of the causality. On one hand, risk-taking incentives may influence the leasing decision. On the other hand, corporate leasing policy may have an effect on the CEO s risk-taking incentives, through changing the firm s return and volatility. To address this possible concern, we employ the fact that there was an exogenous shock to the use of executive option grants. In 2004, the Financial Accounting Standards Board (FASB) issued final rules with regard to expensing equity-based compensation, in which stock options are required to be expensed for financial accounting purposes. In addition, 22

24 the Final Incentive Stock Option Regulations also provide detailed requirements that stock option plans must meet in order to qualify for favorable tax benefits. These requirements include the maximum number of options issued, a minimum exercise price, and shareholders approval, etc. Especially, the expensing requirement in the Final Regulations made stock option plans less favorable to corporations, because expensing option grants significantly reduces firms earnings (Arya and Sun, 2004). The requirement on the minimum exercise price also made options less appealing to executives. To investigate the effect of the regulations on CEO compensation, we conduct a pairwise comparison of Vega_eq for the years 2003 and The results are reported in Table VI, Panel A. CEO risk-taking incentives decreased by $10,500 from 2003 to This reduction in CEO risk-taking incentives is likely caused by the exogenous regulation changes, which allows us to preempt the possibilities that CEO compensation is endogenously determined along with, or is influenced by corporate leasing policy. Hence, we repeat our base regressions on the subsample of firms with non-zero equity-based vega in 2003, for the period of 2003 to The results of this analysis are reported in Table VI Panel B. Specifically, controlling for Delta_eq, a $1 million increase in Vega_eq leads to a 10.48% decrease in Opl_fc. We do not use the asset-based incentives measure in this test, due to the fact that both stock and option grants result in asset-based vega. Although the FASB Final Regulations decreases the use of option grants, the possibility that firms substitute option compensation with stocks makes a prediction on the direction of possible changes in Vega_at difficult. B. Simultaneous Equations A potential issue related to our results that were based on our base regressions is that these results present evidence of an association between operating lease intensity and CEO risk-taking 23

25 incentives, but may not reflect a casual relation. In particular, the negative association between vega and operating leases suggests that CEOs with higher vega tend to implement riskier policies, and thus avoid hedging through operating leases. Alternatively, leasing policy could have an impact on CEO risk taking incentives, through changing the firm s return and volatility. To address this concern, we follow Coles et al. (2006) and estimate a system of equations using a three-stage least squares (3SLS) model. In particular, we first suppose that shareholders choose vega, along with delta, to implement second-best and value-maximizing leasing policy. Furthermore, possible causation also runs from the implemented leasing policy to risk-taking incentives. Specifically, suppose that the optimal leasing policy for a firm is to maintain a high operating lease intensity. Shareholders will first design a low-vega compensation structure in order to encourage the CEO to hedge through leasing. However, if the implemented high lease intensity, in turn, increases the CEO s vega, the CEO will have no incentive to continue leasing to maintain the implemented leasing policy. Alternatively, if the implemented high operating lease intensity helps to keep the CEO s vega low, the CEO will be incentivized to keep lease intensity high in the firm, in which case, optimal leasing policy will continue. In other words, a sustainable optimal leasing policy also leads to a more efficient compensation structure. Therefore, we expect to observe not only that higher risk-taking incentives lead to lower operating lease intensity, but also a feedback effect of higher operating lease intensity leading to lower vega. We use the same set of control variables in the delta and vega equations as Coles et al. (2006). Table VII, Panel A and Panel B report our results pertaining to the 3SLS analyses, using the equity-based and asset-based incentive measures, respectively. We find evidence that is consistent with our earlier results. Both Vega_eq and Vega_at are negatively related to Opl_fc. However, we find significantly larger economic effects using 3SLS. Specifically, from Panel A, 24

26 controlling for Delta_eq, when the sensitivity of the CEO s wealth increases to a one percentage point return volatility (Vega_eq) increases by $1 million the firm s operating lease intensity decreases by 40.25%. And controlling for Delta_at, a $1 million increase in Vega_at corresponds to a 16.21% decrease in the firm s operating lease intensity. What is also interesting is that we observe the expected feedback effect of operating leases on vega, as a 1% increase in Opl_fc leads to a $159 decrease in Vega_eq and a $420 decrease in Vega_at. Overall, the analysis using simultaneous equations yields results that support our main hypothesis. C. Alternative Measure of Operating Leases To provide additional evidence showing the effects of CEO risk-taking incentives on operating lease intensity, we adopt an alternative measure of operating leases. Specifically, following Graham et al. (1998), we calculate Opl_mv, as operating leases divided by the market value deflator, where the market value is defined as the book value of total assets minus the book value of equity plus the market value of equity plus the present value of operating leases. We repeat the Tobit and 3SLS tests in Tables VIII and IX, using Opl_mv as the measure of operating lease intensity. Table VIII reports the Tobit regressions results. In particular, without controlling for Delta_eq, as the dollar change in the CEO s wealth to a one percentage point increase in the firm s return volatility (Vega_eq) increases by $1 million, Opl_mv goes down by approximately 1.64%. This decrease in operating lease intensity becomes 1.72% after we control for Delta_eq. In addition, using asset-based incentive measures generate similar results. A $1 million increase in the dollar change in the CEO s wealth to a one percentage point increase in the firm s asset volatility (Vega_at) leads to 0.64% decrease in Opl_mv, without controlling for Delta_at, and 0.63% decrease in Opl_mv, after controlling for Delta_at. 25

27 Table IX reports the results of the 3SLS tests using Opl_mv as the measure of operating lease intensity. The evidence reported is consistent with previous tests. Specifically, controlling for Delta_eq, when the sensitivity of the CEO s wealth to a one percentage point increase in return volatility (Vega_eq) increases by $1 million, Opl_mv decreases by 11.06%. And controlling for Delta_at, a $1 million increase in Vega_at leads to a 2.78% decrease in Opl_mv. And we, again, observe a feedback effect of operating lease on vega, as a 1% increase in Opl_mv leads to a $501 decrease in Vega_eq, and a $1,226 decrease in Vega_at. Overall, the analyses using the alternative measure of operating lease intensity yield results that support our main hypothesis. VI. Conclusion In this paper we attempt to answer the call by Eisfeldt and Rampini (2009) for more research into leasing. The two prominent extant streams of literature in this area are investigating (1) the determinants of corporate leasing and (2) option-based valuation of leasing contracts. Importantly, these two strands of literature developed independently from each other. In this paper, we attempt to bring these two literatures together by using option-valuation based leasing theory to test for whether CEO risk-taking incentives are a (co-)determinant of corporate leasing. Specifically, we hypothesize that operating leases serve as a hedging mechanism on a firms asset value, and thus, higher CEO risk-taking incentives should lead to lower operating lease intensity. By using both equity- and asset-based managerial incentive measures, we present robust results that is in line with this hypothesis. In particular, controlling for CEO pay-performance sensitivity (delta), a $1 million increase in the equity-based CEO vega leads to an approximately 40.25% decrease in operating lease intensity, and a $1 million increase in the asset-based CEO vega leads to an approximately 16.21% decrease in operating leases. Importantly, our results are robust to 26

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