Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 How Does Information Opacity Affect Public Firms’ Borrowing Cost? Evidence from Syndicated Loans Jiayuan Chen*, Di Gong† and Cal Muckley‡ United States listed firms’ information opacity and bargaining power, vis-à-vis their lenders, influence their cost of borrowing. Unreliable bond market access and stock market microstructure illiquidity can reduce borrowers' bargaining power and increase the cost of borrowing. Relationship lending can mitigate information asymmetry with lenders and reduce the cost of borrowing. This latter benefit to borrowers, however, is more pronounced for firms with access to bond markets and high stock market liquidity. Our main findings are robust to default risk, a wide variety of firm and loan specific features, and firm and year fixed effects. JEL Codes: G21 and G32 1. Introduction Borrowers’ opacity, with respect to pertinent information, affects the cost and terms of their borrowing in the syndicated loan market (Sufi, 2007, Saunders and Steffen, 2011). This “information premium” is documented in the cost of syndicated loans for private firms compared to public firms (Pagano & Panetta 1998; Schenone 2010; Saunders & Steffen 2011). In this paper, we assess whether this “information premium” is also evident in public firms; and what is the role of information opacity in setting loan contract spreads for these firms. Our paper contributes to the extant literature in several ways. We study stock market microstructure illiquidity measures including the closing percent bid-ask (Chung and Zhang, 2014) and Roll (1984) effective spreads, the Goyenko et al. (2009) and Holden (2009) effective ticks, Lesmond, Ogden and Trzcinka (1999) trading days with zero returns measure and the Amihud illiquidity ratio (2002). We test for a relation between these illiquidity measures and syndicated loan spreads. Our findings, which are consistent across this wide range of illiquidity measurements, indicate that firms with more stock market liquidity experience significantly lower costs of borrowing in the syndicated loan market. This relationship holds when we control for firm and loan specific features, firms’ credit ratings, and firm and year fixed effects. We identify two channels which can account for the stock illiquidity-loan spread relationship. The information asymmetry component of these measurements can account for the relation with loan spread (George, Kaul & Nimalendran 1991; Bharath, Pasquariello & Wu 2009). In addition, an increase in a borrowing firm’s stock market illiquidity renders more expensive equity finance (Amihud and Mendelson, 1986). Such a deterioration of an alternative finance channel can diminish the bargaining power, vis-à-vis its lenders, of the borrowing firm. * Jiayuan Chen, Department of Banking & Finance, University College Dublin, Ireland. Email: Jiayuan.chen@ucdconnect.ie † Di Gong, Department of Economics, Tilburg University, Netherlands. Email: d.gong@tilburguniversity.edu ‡ Dr. Cal Muckley, Department of Finance, Yale University and University College Dublin. Email: cal.muckley@yale.edu 1 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 On the one hand, using exogenous market microstructure information asymmetry measures (George et al. 1991; Bharath et al. 2009), we find that stock market information asymmetry does explain the loan spread premium. Much of the prior literature uses dichotomous indicator variables such as corporate structure (public or private firms), stock market listings (Saunders & Steffen 2011) and public credit ratings to infer borrowing firms’ information opacity. Such binary indicators can provide valuable insight into the importance of information asymmetry to influence loan spreads. However, they necessarily neglect cross-sectional variation within each category. In contrast, our approach allows near continuous information opacity measurements from stock market data, which reveals variation in information asymmetry across firms and through time. Further, we find that relationship lending reduces borrowing costs due to the mitigation of private information production cost and/or adverse selection risk (Boot & Thakor 1994). As a result, we show that even for publicly listed firms with compulsory regular information disclosure, there is substantial heterogeneity in information opacity which still matters in terms of the borrowing cost. These empirical findings are consistent with lenders requesting higher loan spreads of informational opaque firms as compensation for the cost of private information production and/or adverse selection risk. An additional advantage of our measures of information asymmetry is that unlike dichotomous stock or bond market listing, our information opacity measures are less likely to be manipulated by firms’ managers. Therefore, our measures are less prone to endogeneity concerns. For instance, we estimate our information opacity proxies using stock market data up to one year before the loan origination to circumvent the possibility of reverse causality. In addition, we adopt firm fixed effects models to control for the time-invariant unobserved firm heterogeneity. Lastly, by separating information asymmetry from market illiquidity, and by means of analysing the impact of lender-borrower past relationship on loan spread, we are able to identify the two channels via which information opacity influences loan spread. On the other hand, the benefit of relationship lending is significantly greater for firms with more liquid stocks, and hence a more feasible financing alternative in the capital market. But, we do not find that the benefit of relationship lending is significantly different between firms with different level of information asymmetry. This finding supports Sharpe’s (1990) theory that lenders can “hold up” their relationship borrowers and charge them with higher interest rates if they have limited ability to alternative financing. Our results are robust when we control for bond market access. Winton and Santos (2008) suggest that firm-level access to the bond market can be an indicator of information opacity. It is also a clear alternative source of finance for the firm which can ascribe to the borrower superior bargaining power in negotiations with lenders in a syndicate, relative to when such an alternate finance source is not available. The remainder of the paper is organised as follows. We review the extant literature in Section 2. In Section 3, we describe our testing methodologies, our base-line model and we develop our hypotheses tests. Data description and our main empirical results are reported in Section 4. Section 5 concludes. 2 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 2. Literature Review Determinants of firms’ borrowing cost have been discussed extensively among finance researchers. Fama and French (1993) identify two factors that affect corporate bonds yields related to maturity and default risks. From a corporate liquidity demand aspect, Holmström and Tirole (2001) find leverage ratios, capital adequacy requirements, and the composition of savings also affect interest rates. Moreover, borrowers’ information opacity increases the adverse selection risk, and hence lenders may request higher interest rates. Nevertheless, this information asymmetry can be greatly mitigated in a single-lender circumstance (Diamond 1984), as the lender has more incentives to investigate and monitor the borrowing firm. However, this does not necessarily result in lower interest rates: on the one hand, lenders possessioning private information can “hold up” their customers and request for higher spreads (Sharpe 1990); on the other hand, production of such private information is costly (Bharath et al. 2011; Saunders & Steffen 2011). There are several other channels via which information asymmetry can directly or indirectly impact loan spreads, for example, the existence and liquidity of a secondary loan market (Gupta, Singh & Zebedee 2008), the ownership concentration (Lin et al. 2011), and the “unobserved opacity” (Saunders & Steffen 2011). Since the secondary loan market liquidity and the ownership concentration are of less a concern to U.S. public firms1, in this study, we focus on two channels, 1) borrowers’ bargaining power, and 2) lenders’ cost of private information production and/or adverse selection risk. Sharpe (1990) develops a model where informed lenders can take advantage of captive customers (i.e., the borrowing firms) and charge prices that exceed the marginal cost of funds. This theory is empirically supported by Santos and Winton (2008), who find that during recessions, banks raise rates more for bank-dependent borrowers than for those with bond market access. Studying the changes in bankloan pricing around IPO, Schenone (2010) find that the average interest rate is significantly higher before IPO, and that relationship banks have greater ability to exploit their information advantage before IPO. Consistent results are found in the UK syndicated loan market (Saunders & Steffen 2011). UK private firms on average pay 27-bp premium in syndicated loans compared to public firms. However, it is much less pronounced if the private firms have issued public bonds prior to loan origination; and public firms do not get such discount if they are listed on small secondary market, such as AIM. Bharath, Pasquariello and Wu (2009) relate exogenous market microstructure measures of information asymmetry to financial markets’ perception of the information advantage held by firm insiders. Using principle component analysis, they construct an adverse selection index as the first component of seven market microstructure measures of adverse selection or price impact. This approach differs from all the studies discussed above in that it does not rely on endogenous information asymmetry indicators such as public credit rating, stock exchange listing or bond market access2. In contrast to Schenone (2010), Bharath, Dahiya, Saunders and Srinivasan (2011) find that repeated borrowing from the same lender lowers the loan spreads, especially for opaque borrowers. In spite of the above empirical evidence, to the best of our knowledge, no paper has 3 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 studied whether the heterogeneous cost of equity among public firms has an impact on lenders’ “hold up” power, and thus affects firms’ cost of debt. Well-known factors that explain the expected equity returns include market return (Rm-Rf) (Sharpe 1964; Lintner 1965), return on small stocks minus return on big stocks (SMB), return on high book-to-market ratio stocks minus return on low book-to-market stocks (HML) (Fama & French 1993), momentum (Carhart 1997), as well as profitability (RMW) and investment (CMA) factors (Fama & French. 2015). Moreover, with the development of research in market microstructure, increasing studies have extended traditional asset-pricing models to including a new category of market illiquidity factors, for example, bid-ask spread (Amihud & Mendelson. 1986), probability of information-based trading (Easley, Hvidkjaer & O’hara 2002) and number of zerovolume days (Liu 2006). Since information asymmetry is a key component of market illiquidity, in this paper, we focus on this new category of factors and test for whether higher cost of equity due to market illiquidity diminishes borrowing firms’ bargaining power, and hence increase their borrowing cost. Following Bharath et al. (2009), we extract the adverse selection component from bid-ask spread and Roll’s effective spread and test the alternative channel that lenders raise loan spreads due to the cost of private information production and/or compensation for adverse selection risk. To further identify the two channels, we analyse how market illiquidity and information asymmetry affect loan spread in case of relationship lending, and additional robust test is conducted controlling for corporate bond market access. 3. Methodology and Hypotheses 3.1 Measuring information opacity The key variable of interest is the market-based measures of firm opacity. In the paper, we use overall eight proxies for firm opacity. In particular, we adopt six proxies for stock illiquidity and two proxies for adverse selection. 3.1.1 Illiquidity proxies (i) Closing percent bid-ask spread Liquidity is often measured by the bid-ask spread, which captures the cost dimension of liquidity. Many researchers rely on high-frequency databases such as NYSE Trade and Quote (TAQ); however, it is not only financially expensive and time-consuming to process large sample over a long period, it is also subject to errors mainly due to withdrawn quotes, and the spreads may vary substantially using different “quote timing rules” (Holden & Jacobsen 2014). Recently, scholars in market microstructure studies have evaluated a variety of spread measures estimated from low-resolution data, and many of them well simulate high-frequency liquidity measures. For example, Corwin and Schultz (2012) derive a simple way to estimate bid-ask spread from daily Ask/High and Bid/Low prices from CRSP, which is highly correlated with TAQ based spread measure; Chung and Zhang (2014) find that using daily Bid and Ask fields provided by the CRSP database, one can construct a spread measure, which has cross-section correlation with TAQ based spread of more than 0.9. We follow Chung and Zhang (2014) and calculate daily bid-ask spread as the daily closing percent bid-ask 4 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 spread on day : (1) where is the average of end-of-day bid and ask quotes. The bid-ask spreads for longer horizons, e.g., monthly and yearly, are calculated as the average daily bid-ask spread during the period3. (ii) Closing percent effective spread While bid-ask spread provides a way to calibrate the transaction cost, many trades are executed between the best bid and ask price. Therefore, an alternative measure of spread accounting for the “inside-spread” transactions is also widely used. Our percent effective spread is defined as twice as the difference between the closing trade price and the closing bid-ask midpoint, as a proportion to the bid-ask midpoint. The daily effective spread is calculated as | | (2) and the longer-horizon effective spreads are calculated as the average of daily effective spread during the period. (iii) Roll’s effective spread Roll (1984) develops theoretical framework that connects price reversal with spread. Let be the unobservable fundamental value of the stock on day , which follows a simple random walk, and the observed transaction price of stock is the fundamental value plus half spread : (3) (4) Combining the two equations above, effective spread can be interpreted as twice as the square root of the negative autocovariance of price change; and we substitute positive serial autocovariance with zero following Goyenko et al. (2009): √ { (5) (iv) Effective tick Goyenko et al. (2009) and Holden (2009) point out that it is possible to estimate effective spread from the end-of-day trade price cluster. Let be the number of days where price cluster correspond to the th spread , where , and let be the corresponding probability, ∑ The unconstrained probability of the th spread is (6) 5 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 { (7) To control for unconstrained probability going below zero due to reverse price clustering, the constrained probability of the th spread is calculated as: [ [ ] ] { (8) [ [ ] ∑ ] And finally, the effective tick is calculated as the probability-weighted average spread divided by average price4: ∑ (9) ̅ The spread set is dependent on the price grid, which is related to the minimum ticksize. In this paper, we infer the spread set based on the three minimum ticksize regimes: ⁄ ⁄ ⁄ ⁄ ⁄ ⁄ (10) { ⁄ (v) Zero Calculated as the number of days with zero returns over total number of trading days, (Lesmond, Ogden & Trzcinka 1999) indicates the value of information relative to the transaction cost. When the transaction costs are high, traders will refrain from trading if the value of new information cannot over come the transaction cost. Therefore, in a limit order market, we will observe more zero-return days.5 Let and be the return and trading volume (in shares) on day respectively, and be the number of days during the period, can be interpreted as: | (11) (vi) Amihud’s illiquidity ratio Price impact of trades as a liquidity measure has gained much popularity in market microstructure research, as it reflects the cost associated with trades. Amihud (2002) employs a market illiquidity measure as “the daily ratio of absolute stock return to its dollar volume”. It calibrates the daily price change in response to one million U.S. dollars volume. Let and denote the return and dollar volume (in millions) on day , the Amihud illiquidity measure of a period with days can be calculated as: | | (12) ∑ 3.1.2 Adverse selection proxies Extensive literature has found that transaction cost mainly comes from three 6 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 sources, order processing cost, inventory cost and adverse selection. George, Kaul and Nimalendran (1991) develop a simple model to decompose the quoted spread into an order processing cost component and an adverse selection component. Let and be the daily return calculated from closing transaction prices and the subsequent bid quotes respectively, the difference between the two, , can be used to estimate the order processing cost during month , (13) √ where is the observed quoted spread in month (calculated as the daily average), and is the unobservable proportion of the quoted spread due to order ̂ from processing cost. An unbiased yearly measure of can be estimated as ̂ the following regression: ̂ (14) Therefore, our yearly adverse selection component can be calculated as ̂ multiplied by the averaged daily bid-ask spread over the year . Also, in line with Bharath, Pasquariello and Wu (2009), we also estimate by substituting bid-ask spread with Roll’s effective spread : (15) ̂ (16) ̂ 3.2 Controls We include a number of firm level controls that may affect the lending interest rates. First, we include firm size, as larger firms are less risky and more information transparent. Next, we control for leverage and ROA, as highly leveraged firms and less profitable firms are more likely to default. As for the firm specific controls that affect loss given default (LGD), we include new working capital (NWC) and tangibles assets. Firms with more net working capital and a higher fraction of tangible assets are expected to lose less value in the event of default. We also control for Market-toBook ratio (Firm MKTBOOK), an imperfect proxy of Tobin's Q, which is a ratio of the market value of a firm to its accounting value. We expect a firm with a higher Marketto-Book ratio to have lower spreads. Finally, we include industry dummies that classify borrowers into ten sectors based on 4-digit SIC codes6, considering that loss given default (LGD) is strongly correlated with industry characteristics (Hertzel & Officer 2012; James & Kizilaslan 2014). We also include several non-pricing loan features as they may reflect the default risks (Sufi 2007). In specific, we include Facility Size and Maturity to proximate these features. The signs of their impact on loan spread are both ambiguous: large loans are likely to be associated with greater credit risk in the underlying project and lower liquidity, but could also be borrowed by larger firms which tend to have lower risks; it is similar in regard to maturity. Next, we use the number of lenders in a facility (No. of Lenders) and the number of facilities within a deal (No. of Facilities) to proxy the syndicated structure. To measure the liquidity exposure of each facility, we classify a loan as a line of credit (Revolver) or a term loan (Term Loan)7. Moreover, we include dummy variables that indicate whether a loan is senior (Senior) in the borrowers' liability structure and whether the loan is secured by collateral (Secured). Seniority and collateral may reduce the lenders' loss in the event of borrower default and therefore reduce lending rates, however, the contractual arrangement may be required ex-ante to protect lenders towards specifically risky borrowers. Therefore, 7 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 the relation between seniority, collateral and loan pricing is an empirical question. Last, we control for loan purpose dummies into five categories: Corporate Purpose, Debt Repayment, Takeover, Working Capital and Other. In particular, we use the accounting information of the borrower from the fiscal year ending in the calendar year for loans made in calendar year . To eliminate the bias from outliers, we winsorise loan spreads, firm specific variables and borrowers' opacity measures at 1 and 99 percentile levels. We include year dummies to capture time trends throughout the analysis as Santos and Winton (2008) have shown the business cycle effect on loan contracts. 3.3 Loan pricing model Finally, our baseline loan pricing model is defined as follows: ∑ ∑ ∑ (17) where , , and denote firm, loan and year, respectively. The dependent variable, , is the all-in-drawn spread in Dealscan which denotes an interest rate spread over LIBOR measured in basis points. It is a measure provided by Dealscan of overall costs of the loan, accounting for both one time and recurring fees. is a market microstructure measure related to firm’s information opacity; it can be one our illiquidity or adverse selection measures. Moreover, we include firm specific variables and loan specific variables . We also include year dummies to control for year fixed effect. is the error term. We estimate the baseline loan pricing model by cross-sectional OLS regressions that pool together all valid observations. Robust standard errors are clustered at the borrower level to correct for correlation across observations of a given firm. 8 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 4. Empirical Studies 4.1 Data The data for this study come from LPC Dealscan8, Compustat and CRSP over the period between 1988 and 20119. We collect syndicated loan data taken out by U.S. firms from LPC Dealscan. We exclude loans borrowed by companies in regulated utilities and financial sectors from the sample (SIC codes 6000 to 6999, Finance and Insurance). Syndicated loans are usually structured in a number of facilities, also called tranches. We treat facilities in each deal as different loans because spreads, identity of lenders and other contractual features often vary within a syndicated loan deal 10 . Therefore, each observation in the regressions denoted by Eq. (17) corresponds to a syndicated loan facility. Compustat collects annual report data of publicly listed American companies. By merging Dealscan with Compustat, we have detailed annual accounting information of the borrowers11. We rely on the CRSP database to calculate our market-based proxies for stock illiquidity and adverse selection. In particular, we collect daily return data over the year leading up to the facility activation date for borrowers listed in NYSE, AMEX and NASDAQ12. Finally, our sample consists of 10877 loans taken out by 1779 U.S. firms. All firm specific variables are winsorised at the 1% and 99% levels. We present the definitions and data sources of all the variables in Table A1 and the summary statistics in Table A2. 4.2 Empirical results We apply the loan pricing model denoted by Eq. (17) to examine whether our informational opacity measures can explain the variations of borrowing costs among U.S. public firms. In particular, we alternatively regress the all-in-drawn spreads on the six stock illiquidity measures, and we control for the sets of firm and loan specific variables described in Section 3.2 as well as year dummies. The results are shown in Column (1) to (6) in Table 1. The results in Column 1 suggest that firms with higher bid-ask spread (baspr) in the stock market pay higher lending interest rates. Using effective spread (effspr) in replace of bid-ask spread, shown in Column 2, we find similar results. In Column 3 and 4, we show that the coefficients of alternative effective spread measures, Roll’s effective spread (Roll) and Holden’s effective tick (efftick), are also positive and highly significant, consistent with the previous findings. Furthermore, Column 5 implies that borrowers with more stock zero-return days (zero) are charged at higher loan spreads. When measuring market illiquidity as the price impact of one million dollar volume, in Column 6, the Amihud measure shows a significant and positive coefficient, indicating that firms with greater stock market price impact and thus less liquid stocks tend to pay higher interest rates in the syndicated loan market. 9 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 Table 1 Pooled OLS Regression In all specifications, we run cross-sectional OLS regressions that pool together all valid observations. The dependent variable is the all-in-drawn spread. Standard errors are adjusted for clustering at the borrower level. P-value is reported in parentheses below the coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. baspr (1) 6.683*** (0.000) effspr (2) (3) (4) (5) (6) (7) 11.673*** (0.000) Roll 1011.342*** (0.000) efftick 13.579*** (0.000) zero 88.942*** (0.004) Amihud 3.724** (0.029) GKN 323.407** (0.016) RGKN Firm size Firm leverage Firm ROA Firm NWC Firm tangibility Firm MRTBOOK No. of lenders No. of facilities Facility size Maturity Revolver Term loan Secured Senior _cons Year dummies Loan purpose dummies Industry dummies No. of observations No. of firms R-sq (8) -7.702*** -6.369*** -7.513*** -7.696*** -8.830*** -9.286*** (0.000) (0.001) (0.000) (0.000) (0.000) (0.000) 69.591*** 67.459*** 69.891*** 68.648*** 72.838*** 74.539*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -242.554*** -235.221*** -231.101*** -234.379*** -249.307*** -248.384*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -39.998*** -39.540*** -41.687*** -40.808*** -44.022*** -43.369*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) 2.159 2.632 2.068 2.892 2.463 2.161 (0.666) (0.599) (0.677) (0.567) (0.623) (0.667) -1.761 -1.820 -3.001* -2.419 -2.235 -3.071* (0.336) (0.313) (0.090) (0.185) (0.219) (0.087) -1.057*** -1.055*** -1.040*** -1.028*** -1.014*** -1.058*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) 10.060*** 9.848*** 10.091*** 9.917*** 9.865*** 9.889*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -9.532*** -9.280*** -9.334*** -9.461*** -10.000*** -9.846*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -5.468** -5.183** -5.666** -5.408** -5.949** -5.844** (0.025) (0.034) (0.020) (0.027) (0.014) (0.017) -64.398*** -64.634*** -64.468*** -64.101*** -64.037*** -64.167*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -3.829 -4.024 -3.734 -3.481 -3.098 -3.359 (0.705) (0.691) (0.711) (0.733) (0.761) (0.741) 82.254*** 82.294*** 81.410*** 82.551*** 82.770*** 83.018*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -247.653*** -247.121*** -244.632*** -247.678*** -251.217*** -249.766*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) 481.910*** 465.932*** 479.909*** 479.168*** 498.360*** 512.308*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) Yes Yes Yes Yes Yes Yes -9.620*** (0.000) 74.472*** (0.000) -252.116*** (0.000) -42.301*** (0.000) 4.728 (0.359) -3.687* (0.065) -1.068*** (0.000) 10.223*** (0.000) -9.804*** (0.000) -6.078** (0.014) -64.172*** (0.000) -1.495 (0.885) 82.454*** (0.000) -229.985*** (0.000) 479.906*** (0.000) Yes 695.047*** (0.002) -9.670*** (0.000) 74.104*** (0.000) -250.138*** (0.000) -42.478*** (0.000) 4.828 (0.347) -4.065** (0.039) -1.065*** (0.000) 10.314*** (0.000) -9.761*** (0.000) -6.098** (0.014) -64.710*** (0.000) -1.970 (0.849) 82.408*** (0.000) -229.408*** (0.000) 481.112*** (0.000) Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes 10877 1779 0.550 Yes 10877 1779 0.552 Yes 10877 1779 0.552 Yes 10877 1779 0.551 Yes 10877 1779 0.547 Yes 10877 1779 0.547 Yes 10363 1737 0.552 Yes 10363 1737 0.553 Turning to the controls, it shows in Table 1 that most of our control variables have significant and expected signs. In specific, we find that large firms, more profitable firms and firms with higher net working capital tend to pay lower interest rate, whereas highly leveraged firms are charged higher loan spreads. The coefficients of tangible assets and the market-to-book ratio, however, are not significantly different 10 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 from zero. In terms of loan-specific features, we find that loans with more lenders, larger size and longer maturity are associated with lower interest rates, but the number of facilities has an opposite impact. Credit lines and senior loans are also cheaper, however, loans secured by collaterals are charged at higher interest rates, which is likely because risky firms are more likely requested of collaterals. These results can be explained in line with Sharpe (1990) that firms with less liquid stocks face higher cost and limited ability to finance from the capital market, and therefore more dependent on debt financing. Hence, lenders are more likely to “hold up” these firms and charging them higher interest rates. Nevertheless, since adverse selection is an important component of stock market illiquidity (Bharath, Pasquariello & Wu 2009), the stock illiquidity premium in the syndicated loan market may reflect the adverse selection risk or the cost of private information production of firms with illiquid stocks. We formally test the latter hypothesis using two adverse selection measures, GKN and RGKN following George et al. (1991) and Bharath et al. (2009). As reported in the last two columns in Table 1, both of the measures enter the regression with positive and significant signs. In sum, we find strong evidence that firms illiquidity and information asymmetry in the stock market are positively and significantly associated with firms’ borrowing cost. Next, two robustness tests are applied to our baseline loan pricing model. To show that our results are not driven by imperfect control of firms’ default risk, we include credit rating from Standard & Poor in Table 2 despite that our sample shrinks substantially since many listed firms are not rated by S&P. In particular, we adopt the S&P domestic long term issuer credit rating. The variable S&P rating takes value of 1 if the firm has AAA rating, the value increases as the rating deteriorates. The highest value is 17 for ratings below “B-“. Good rating score takes a lower value. We find the coefficient of rating is positive and significant, indicating that firms of high default risk pay higher interest rates; and the coefficients of the six market illiquidity measures (Column 1 to 6) and the two adverse selection measures (Column 7 and 8) are quantitatively and qualitatively alike the baseline regression reported in Table 1, indicating that our findings are robust to omitted default risks. The second robustness test is in regard to the potential endogeneity due to omitted variables of the baseline specification if unobserved time-invariant firm characteristics drive both firms’ stock features and loan spreads. We restructure the data set into panel data in which we have as the cross section unit and as the time series unit. We estimate a firm fixed effects model, allowing for arbitrary correlation between the unobserved borrower effect and the observed explanatory variables. The identification comes from variations in opacity and loan spreads within the same firm. In particular, we compare loan spreads of the same firm across different loans when equity volatilities differ before the loan origination. The results of fixed effect regression are reported in Table 3. It further confirms the findings that firms with illiquid stocks and higher informational asymmetry are faced with higher interest rates. 11 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 Table 2: Robustness check: Control for S&P ratings In all specifications, we run cross-sectional OLS regressions that pool together all valid observations. The dependent variable is the all-in-drawn spread, and all control variables except S&P ratings are suppressed from reporting. Standard errors are adjusted for clustering at the borrower level. P-value is reported in parentheses below coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. baspr (1) 10.945*** (0.000) effspr (2) (3) (4) (5) (6) (7) 22.221*** (0.000) Roll 1419.608*** (0.000) efftick 16.238*** (0.002) zero 122.501*** (0.009) Amihud 17.302*** (0.001) GKN 570.576*** (0.008) RGKN S&P rating _cons Year dummies Loan purpose Industry dummies No. of observations No. of firms R-sq (8) 18.992*** (0.000) 132.206 (0.128) Yes Yes Yes 5769 943 0.679 18.609*** (0.000) 115.787 (0.162) Yes Yes Yes 5769 943 0.682 18.542*** (0.000) 156.030* (0.052) Yes Yes Yes 5769 943 0.680 19.153*** (0.000) 151.219* (0.079) Yes Yes Yes 5769 943 0.677 19.497*** (0.000) 145.248* (0.095) Yes Yes Yes 5769 943 0.676 19.436*** (0.000) 134.705 (0.142) Yes Yes Yes 5769 943 0.678 19.450*** (0.000) 156.795* (0.077) Yes Yes Yes 5645 934 0.678 696.852** (0.018) 19.490*** (0.000) 170.005* (0.050) Yes Yes Yes 5645 934 0.677 Table 3: Robustness check: Firm fixed effect In all specifications, we estimate firm fixed effects models. The dependent variable is the all-in-drawn spread, and all control variables are suppressed from reporting. Standard errors are adjusted for clustering at the borrower level. P-value is reported in parentheses below coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. baspr (1) 7.799*** (0.000) effspr (2) (3) (5) (4) (6) (7) 13.486*** (0.000) Roll 1030.082*** (0.000) efftick 16.967*** (0.000) zero 71.385*** (0.003) Amihud 5.959*** (0.000) GKN 432.287*** (0.000) RGKN Firm FE Year dummies Loan purpose Industry dummies No. of observations No. of firms R-sq (8) Yes Yes Yes Yes 10877 1779 0.716 Yes Yes Yes Yes 10877 1779 0.717 Yes Yes Yes Yes 10877 1779 0.716 Yes Yes Yes Yes 10877 1779 0.717 Yes Yes Yes Yes 10877 1779 0.714 Yes Yes Yes Yes 10877 1779 0.714 Yes Yes Yes Yes 10363 1737 0.720 683.529*** (0.000) Yes Yes Yes Yes 10363 1737 0.720 12 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 To further identify the two potential channels, we construct a dummy for lending relationship, which takes the value of one if the borrowing firm has taken a syndicated loan within five years from the same lead lender, and zero otherwise. Under Sharpe’s (1990) theory, relation lending results in higher loan spreads, as relationship lenders are more likely to “hold-up” their captive customers. However, under the alternative channel (Boot & Thakor 1994), repeated lending reduces the information asymmetry between lenders and borrowers, as well as the cost of private information production, and therefore lowers the interest rates. We include the relationship dummy and the interaction term into our baseline loan pricing regression denoted by Eq. (17). We report the regression output in Table 4. Table 4: OLS regression with relationship dummy In all specifications, we run cross-sectional OLS regressions that pool together all valid observations. The dependent variable is the all-in-drawn spread, and column (1) to (8) reports the estimated coefficients corresponding to each opacity measure labelled in the first row respectively. Control variables are identical to Table 1 and are suppressed from reporting. Standard errors are adjusted for clustering at the borrower level. Pvalue is reported in parentheses below coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. (1) rel opacity opacity*rel Year dummies Loan purpose Industry dummies No. of observations No. of firms R-sq (2) (3) (4) (5) (6) (7) (8) baspr effspr Roll efftick zero Amihud GKN RGKN -10.728*** -11.912*** -12.143*** -9.889*** -10.714*** -7.686*** -9.136*** -7.046*** (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) (0.007) 6.176*** 10.698*** 937.563*** 12.763*** 77.950** 3.657** 286.039** 725.100*** (0.000) (0.000) (0.000) (0.000) (0.013) (0.035) (0.042) (0.004) 2.409* 5.455*** 308.047* 4.242** 43.514** -0.221 149.620 -143.279 (0.055) (0.005) (0.087) (0.049) (0.046) (0.924) (0.330) (0.617) Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes 10877 10877 10877 10877 10877 10877 10363 10363 1779 1779 1779 1779 1779 1779 1737 1737 0.551 0.553 0.553 0.551 0.548 0.548 0.553 0.554 Consistent with Bharath et al. (2011), the coefficient of relationship dummy is negative and significant throughout all specifications, indicating that past relationship lowers the interest rates for repeated borrowers. Turning to the interaction terms, except Amihud’s price impact measure, we find that the interaction terms of relationship dummy and stock illiquidity proxies unanimously show positive and statistically significant coefficients, whereas the interaction terms with Amihud and the two adverse selection measures (GKN and RGKN) are statistically insignificant. To interpret these results, we need to consider the two competing roles of relationship lending: 1) it increases lenders’ monopoly, but 2) it reduces the information asymmetry. Firms with illiquid stocks have limited and/or more costly alternative financing ability, and are hence more likely to be held up by the lenders; therefore the benefit result from information asymmetry reduction brought about by relationship lending is limited by the increase in lenders’ monopoly. This finding is consistent with Schenone (2010). In contrast, since relationship lending reduces information asymmetry ( if true), its interaction with adverse selection measures (GKN and RGKN) and Amihud, which is highly related to adverse 13 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 selection (Bharath et al. 2011), become less meaningful, and therefore the coefficients are not significantly different from zero. To account for alternative sources of financing, i.e., corporate bond, firstly, we create a dummy variable , which equals to one if the borrowing firm has no access to corporate bond market, and equals to zero otherwise. If a firm has access to the bond market, the lender should have less monopoly over the borrowing firm, and less likely to charge higher spread even if it is a relationship lender. Also, firms with access to bond market are more informational transparent (Santos & Winton 2008). Therefore we add a dummy and its interaction with each opacity measure to our baseline regression model Eq. (17). The results, as shown in Table 5, are in line with our hypothetical analysis. First, firms without record of bond issuance in the past five years before loan initiation on average pay about 1015 basis points premium. Second, the coefficients on all opacity measures are positive and significant, whereas positive but insignificant on the two information asymmetry measures; these indicate that stock market illiquidity increases lenders’ monopoly even if we control for borrowers’ bond market financing ability, and that bond issuance history which reflects borrowing firms’ information transparency, is highly correlated with our information asymmetry measures GKN and RGKN. Third, the coefficients on the interaction are generally insignificant, except for effective spread (effspr) and Roll’s effective spread (Roll). On the one hand it suggests that bond market access does not affect the loan’s sensitivity to stock market illiquidity; on the other hand, it implies multicollinearity between and the two illiquidity measures, and Table 5: OLS regression with no bond access dummy In all specifications, we run cross-sectional OLS regressions that pool together all valid observations. The dependent variable is the all-in-drawn spread, and column (1) to (8) reports the estimated coefficients corresponding to each opacity measure labelled in the first row respectively. Control variables are identical to Table 1 and are suppressed from reporting. Standard errors are adjusted for clustering at the borrower level. Pvalue is reported in parentheses below coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. (1) (2) (3) (4) (5) (6) (7) (8) baspr effspr Roll efftick zero Amihud GKN RGKN nobond 12.631*** 15.773*** 21.705*** 10.237** 11.627*** 10.761*** 9.994*** 9.348** (0.001) (0.000) (0.000) (0.013) (0.002) (0.002) (0.010) (0.024) opacity 8.858*** 19.545*** 1911.372*** 99.919** 17.382*** 12.403* 326.764 603.99 (0.000) (0.000) (0.000) (0.021) (0.000) (0.084) (0.125) (0.136) opacity*nobond Year dummies Loan purpose Industry dummies No. of observations No. of firms R-sq -2.192 -8.104** -1000.801*** -9.961 -3.738 -8.783 2.951 113.138 (0.292) (0.040) (0.002) (0.795) (0.407) (0.235) (0.989) (0.797) Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes 10877 10877 10877 10877 10877 10877 10363 10363 1779 1779 1779 1779 1779 1779 1737 1737 0.551 0.553 0.554 0.548 0.552 0.548 0.553 0.554 Furthermore, we study interactively the joint effect of relationship lending, bond market access and stock market illiquidity. We add dummies and , which equals to one if the firm has issued corporate bond within five years before loan 14 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 initiation, their interaction , their respective interactions with each of our opacity measure and , as well as the triple interaction , to Eq. (17). We report the estimation in Table 6. Table 6: OLS regression with relationship and bond access dummies In all specifications, we run cross-sectional OLS regressions that pool together all valid observations. The dependent variable is the all-in-drawn spread, and column (1) to (8) reports the estimated coefficients corresponding to each opacity measure labelled in the first row respectively. Control variables are identical to Table 1 and are suppressed from reporting. Standard errors are adjusted for clustering at the borrower level. Pvalue is reported in parentheses below coefficients. ***, **, * denote coefficients significantly different from zero at the 1%, 5% and 10% levels, respectively. (1) (2) (3) (4) (5) (6) (7) (8) Panel A rel bond baspr effspr Roll efftick zero Amihud GKN RGKN -12.429*** -12.579*** -13.319*** -12.565*** -11.103*** -8.617*** -11.296*** -9.747*** (0.002) (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) -9.485* -9.401* -20.193*** -6.773 -5.322 -3.377 -5.818 -5.919 (0.097) (0.094) (0.003) (0.199) (0.392) (0.488) (0.303) (0.321) 11.284* 7.470 0.226 7.888 4.445 6.392 2.976 8.864* (0.175) (0.967) (0.244) (0.352) (0.252) (0.490) (0.091) (0.058) opacity 5.983*** 10.624*** 854.116*** 12.697*** 75.097** 3.753** 266.998* 689.837*** (0.000) (0.000) (0.000) (0.000) (0.019) (0.035) (0.071) (0.009) opacity*rel 2.611** 4.459** 276.16 4.124* 49.348** -0.443 243.001 97.558 (0.047) (0.025) (0.160) (0.081) (0.046) (0.851) (0.151) (0.761) 255.443 rel*bond opacity*bond opacity*bond*rel Year dummies Loan purpose Industry dummies No. of observations No. of firms R-sq Panel B 3.807 5.945 1280.062** 4.046 24.642 -3.079 163.906 (0.147) (0.215) (0.011) (0.441) (0.655) (0.328) (0.580) (0.685) -1.658 12.669* -91.715 3.788 -12.772 33.389 -504.303 -1174.594 (0.659) (0.069) (0.870) (0.513) (0.801) (0.290) (0.209) (0.109) Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes 10877 10877 10877 10877 10877 10877 10363 10363 1779 1779 1779 1779 1779 1779 1737 1737 0.551 0.554 0.554 0.548 0.552 0.548 0.553 0.554 baspr effspr Roll efftick zero Amihud GKN RGKN -12.429 -12.579 -13.319 -11.103 -12.565 -8.617 -11.296 -9.747 -14.444 -21.754 -25.624 -13.431 -11.495 -9.018 -8.250 -4.382 -2.015 -9.175 -12.305 -2.328 1.070 -0.401 3.046 5.365 baspr effspr Roll efftick zero Amihud GKN RGKN 8.594 15.083 1130.276 16.821 124.445 3.310 509.999 787.395 10.743 33.697 2318.623 24.655 136.315 33.620 169.602 -131.756 2.149 18.614 1188.347 7.834 11.870 30.310 -340.397 -919.151 Sum Intercept (excluding constant) Relationship + No Bond Relationship + Bond Bond - No Bond Sum Opacity Coefficient Relationship + No Bond Relationship + Bond Bond – No Bond In Table 6, we present in Panel A that after controlling for bond market access, the relationship dummy shows a significant and negative coefficient across all opacity measures, and the interaction shows a significant and positive coefficient through all illiquidity measures (excluding Roll and Amihud). These results are consistent with our previous findings reported in Table 4. Particularly, we are interested to know weather relationship lenders charge higher rates for borrowing firms without bond market access than those having such alternative. Hence we respectively aggregate the intercepts (excluding the constant) and the 15 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 coefficients related to each opacity measure, which are reported in Panel B. As illustrated in the last row “Bond – No Bond” of the two subpanels, for all illiquidity measures from column (1) to (6), with sole exception of zero, relationship borrowers with bond market access receive a discount in the intercept coefficient than firms without; this benefit is reduced if the firm has illiquid stocks. For the two information asymmetry measures GKN and RGKN, the intercepts are slightly larger for firms which have previously issued bond, and the coefficient on information asymmetry measure is smaller. This may be explained as both bond and GKN (RGKN) reflect the level of information asymmetry, and are hence highly correlated. 5. Conclusions In this study, we discuss the role of information opacity in determining firms’ borrowing cost. Taking a large sample of U.S. listed firms from 1987 to 2011, we construct a set of market-based information opacity measures, which are near continuous across firms and through time, and less prone to endogeneity. Using stock market microstructure illiquidity measures, we find that firms with more liquid equities pay significantly lower interest rates in the syndicated loan market. This relationship is robust when we control for firm and loan specific features, firms’ credit rating, and firm and year fixed effect. Second, we further identify two channels of the stock illiquidity-loan spread relationship. Following George et al (1991) and Bharath et al. (2009), we extract exogenous market microstructure information asymmetry measures from stock market illiquidity, and we find that the information asymmetry component explains the loan spread premium. This empirical finding is supportive of the theory that lenders request higher loan spreads to informational opaque firms in compensation of the cost of private information production and/or adverse selection risk. Furthermore, by analysing the role of relationship lending, we find evidence in line with Boot and Thakor (1994) that relationship reduces borrowing cost due to the mitigation of private information production cost and/or adverse selection risk; this effect is significantly more valuable for firms with more liquid stocks, but statistically indifferent for firms with heterogeneous level of information asymmetry. We attribute these results to a decrease in lenders’ monopoly (Sharpe 1990; Schenone 2010) along with borrowing firms’ increasing alternative financing ability in the capital market as well as corporate bond market. We additionally find that access to bond market helps reduce the borrowing cost, and that the effect of lender-borrower relationship is robust controlling for this alternative source of financing. 16 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1-922069-81-8 End Notes 1 U.S. has world’s most liquid secondary loan market, and public firms in U.S. generally have widely dispersed ownership structure. 2 Endogeneity is controlled to some extent by using instrumental variables (Gupta, Singh & Zebedee 2008; Santos & Winton 2008; Bosch & Steffen 2011; Saunders & Steffen 2011) or propensity score matching (Saunders & Steffen 2011), these methods are subject to bias due to weak instrument (in IV method) or “unobservables” (in PSM). 3 A slightly different version is also calculated, which is the average daily bidask spread for positive volume days only. The results are suppressed from reporting as they are similar to . 4 A slightly different version is also calculated, which is the probabilityweighted average spread divided by average price for positive volume days only. The results are suppressed from reporting as they are similar to . 5 Lesmond et al. (1999) show that the effective number of zero-return days, which includes the non-zero-return days due to bid-ask bounce, is closely related to the zero-return days reported by CRSP. 6 Our results hold if we alternatively use dummy variables for two-digit SIC industry groups. 7 In particular, a loan is classified as a revolver if the loan type is expressed in Dealscan as “364-Day Facility”, “Revolver/Line < 1 Yr”, “Revolver/Line >= 1 Yr”, “Revolver/Term Loan”, “Demand Loan” or “Limited Line”. Alternatively, a loan is defined as a term loan if the loan type is recorded as “Term Loan”, “Term Loan A”, “Term Loan B”, “Term Loan C”, “Term Loan F” or “Delay Draw Term Loan”. 8 LPC Dealscan is a database of loans provided by Loan Pricing Corporation. It covers most loans made to large publicly traded companies (Strahan 1999). 9 Before 1987, the coverage of Dealscan is uneven. For an overview of the Dealscan database, see Strahan (1999). 10 This is a common practice in the loan pricing literature. See similar analyses in Carey and Nini (2007), Focarelli, Pozzolo and Casolaro (1998), Santos (2011), Gaul and Uysal (2013). 11 We are indebted to Sudheer Chava and Michael Roberts for providing the link between Dealscan with Compustat, see Chava and Roberts (2008). 12 We link Dealscan with Compustat via GVKEY. 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Vayanos, D & Wang, J 2012, 'Market liquidity -- Theory and empirical evidence', Working Paper, National Bureau of Economic Research. 20 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1922069-81-8 Appendix Table A1: Variable definition and data sources Variable AllinDrawn baspr effspr Roll efftick zero Amihud GKN RGKN rel bond nobond Firm size Firm leverage Firm ROA Firm NWC Firm tangibility Firm MRTBOOK No. of lenders No. of facilities Facility size Maturity Revolver Term loan Secured Senior S&P rating Definition The All-in-Drawn spread is an interest rate spread over LIBOR measured in basis points for each dollar drawn from the loan. The difference between ask-price and bid-price, as a percentage of the quoted bid-ask midpoint. Twice as the difference between trade price and quoted bid-ask midpoint, as a percentage of the bid-ask midpoint. Square root of twice as the negative first order autocovariance of returns. Probability weighted price clusters. Number of zero-return days as a percentage of the total number of trading days. Price impact of a million dollar volume. Adverse selection component of percent bid-ask spread. Adverse selection component of Roll’s effective spread. Indicator which takes the value of one if the borrowing firm has taken a syndicated loan within five years from the same lead lender, and zero otherwise. Indicator which takes the value of one if the borrowing firm has issued corporate bond before loan initiation date Indicator which takes the value of one if the borrowing firm has not issued corporate bond before loan initiation date Log of firm total assets Sum of long term and short term debt over total assets Return on assets Net working capital over total assets Tangible assets over total assets Market to book ratio Number of lenders in a facility Number of facilities in a syndicated deal Log of facility amount Maturity of the loan Dummy for lines of credit Dummy for term loans Dummy for collateral Dummy for senior loans Credit rating from S&P Source LPC Dealscan CRSP CRSP CRSP CRSP CRSP CRSP CRSP CRSP LPC Dealscan Compustat Compustat Compustat Compustat Compustat Compustat LPC Dealscan LPC Dealscan LPC Dealscan LPC Dealscan LPC Dealscan LPC Dealscan LPC Dealscan LPC Dealscan Compustat 21 Proceedings of 10th Annual London Business Research Conference 10 - 11 August 2015, Imperial College, London, UK, ISBN: 978-1922069-81-8 Table A2: Summary statistics AllinDrawn baspr effspr Roll zero efftick Amihud GKN RGKN Firm size Firm leverage Firm ROA Firm NWC Firm tangibility Firm MRTBOOK S&P rating No. of lenders No. of facilities Facility size Maturity Revolver Term loan Secured Senior No. of obs 10877 10877 10877 10877 10877 10877 10877 10363 10363 10877 10877 10877 10877 10877 10877 5769 10877 10877 10877 10877 10877 10877 10877 10877 Mean 197.141 1.564 1.025 0.016 0.074 0.601 0.444 0.009 0.006 6.828 0.304 0.131 0.151 0.737 1.735 10.852 9.233 1.788 4.899 1.178 0.729 0.245 0.649 0.998 Std Dev 145.071 1.983 1.363 0.014 0.088 1.276 2.047 0.017 0.009 1.742 0.216 0.108 0.200 0.406 1.825 3.091 9.168 1.109 1.571 0.682 0.445 0.430 0.477 0.041 Median 175.000 0.923 0.505 0.012 0.033 0.175 0.008 0.001 0.003 6.795 0.286 0.127 0.130 0.718 1.419 11.000 7.000 1.000 5.011 1.427 1.000 0.000 1.000 1.000 p1 18.750 0.033 0.086 0.002 0.000 0.015 0.000 0.000 0.000 2.988 0.000 -0.146 -0.359 0.064 0.697 4.000 1.000 1.000 0.693 -0.875 0.000 0.000 0.000 1.000 p99 700.000 9.680 6.719 0.070 0.367 5.601 8.412 0.083 0.042 10.663 1.006 0.407 0.651 1.832 5.781 17.000 42.000 5.000 8.011 2.079 1.000 1.000 1.000 1.000 22