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1 Yesterday once more: Short selling and two banking crises Dien Giau Bui * Department of Finance National Taiwan University Chih-Yung Lin ** College of Management & Innovation Center for Big Data and Digital Convergence Yuan Ze University Tse-Chun Lin *** Faculty of Business and Economics University of Hong Kong Abstract We find that change of short interest predicts banks’ stock returns during the two recent banking crises. More strikingly, before the 2007-2009 crisis, short interests increase more for the banks that suffered more in the LTCM crisis. We also find that change of short interest predicts banks’ loan quality and default risk during the 2007-2009 crisis. The results are stronger for banks with higher risk-taking behavior. Overall, our findings suggest that short sellers are informed about the persistent risk culture or risky business models of banks documented in Fahlenbrach, Prilmeier, and Stulz (2012) and short these banks before the crisis. JEL classification: G01, G14, G21, G32 Keywords: Short selling; short interest; financial crisis; predictability; risk culture ______________________________ We would like to thank David Lucca, Rüdiger Fahlenbrach, and Gerard Hoberg for the comments. Tse-Chun Lin gratefully acknowledges research support from the Faculty of Business and Economics at the University of Hong Kong and the Research Grant Council of the Hong Kong SAR government. Chih-Yung Lin appreciates the financial support from Taiwan Ministry of Science and Technology. Any remaining errors are ours. * E-mail: [email protected]. ** Corresponding author. E-mail: [email protected] *** E-mail: [email protected]

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Yesterday once more:

Short selling and two banking crises

Dien Giau Bui*

Department of Finance

National Taiwan University

Chih-Yung Lin**

College of Management &

Innovation Center for Big Data and Digital Convergence

Yuan Ze University

Tse-Chun Lin***

Faculty of Business and Economics

University of Hong Kong

Abstract

We find that change of short interest predicts banks’ stock returns during the two

recent banking crises. More strikingly, before the 2007-2009 crisis, short interests

increase more for the banks that suffered more in the LTCM crisis. We also find that

change of short interest predicts banks’ loan quality and default risk during the

2007-2009 crisis. The results are stronger for banks with higher risk-taking behavior.

Overall, our findings suggest that short sellers are informed about the persistent risk

culture or risky business models of banks documented in Fahlenbrach, Prilmeier, and

Stulz (2012) and short these banks before the crisis.

JEL classification: G01, G14, G21, G32

Keywords: Short selling; short interest; financial crisis; predictability; risk culture

______________________________

We would like to thank David Lucca, Rüdiger Fahlenbrach, and Gerard Hoberg for the comments.

Tse-Chun Lin gratefully acknowledges research support from the Faculty of Business and Economics

at the University of Hong Kong and the Research Grant Council of the Hong Kong SAR government.

Chih-Yung Lin appreciates the financial support from Taiwan Ministry of Science and Technology.

Any remaining errors are ours. * E-mail: [email protected].

** Corresponding author. E-mail: [email protected]

*** E-mail: [email protected]

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Yesterday once more:

Short selling and two banking crises

Abstract

We find that change of short interest predicts banks’ stock returns during the two

recent banking crises. More strikingly, before the 2007-2009 crisis, short interests

increase more for the banks that suffered more in the LTCM crisis. We also find that

change of short interest predicts banks’ loan quality and default risk during the

2007-2009 crisis. The results are stronger for banks with higher risk-taking behavior.

Overall, our findings suggest that short sellers are informed about the persistent risk

culture or risky business models of banks documented in Fahlenbrach, Prilmeier, and

Stulz (2012) and short these banks before the crisis.

JEL classification: G01, G14, G20, G32

Keywords: Short selling; short interest; financial crisis; predictability; risk culture

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1. Introduction

A burgeoning literature has been investigating why some banks underperformed,

particularly during financial crises. For example, Fahlenbrach, Prilmeier, and Stulz

(2012) suggest that the persistent culture in a financial institution regarding

risk-taking behavior plays an important role. They find that a bank’s performance in

the past crisis could be a proxy for its systemic risk exposure or its sensitivity to the

next crisis. Hence, the performance of a bank in the past crisis could predict its

performance in the next crisis.1 In this paper, we investigate whether short sellers are

informed about the persistent risk culture and risky business models of banks and thus

target the underperforming ones in the LTCM crisis before the 2007-2009 crisis.

We focus on short sellers because they serve as important information

intermediaries in multiple dimensions. The asset pricing literature shows that short

sellers are informed about future stock returns and firm performances (Senchack and

Starks, 1993; Asquith, Pathak, and Ritter, 2005; Nagel, 2005; Pownall and Simko,

2005; Boehmer, Jones, and Zhang, 2008; Engelberg, Reed, and Riggenberg, 2012;

Kecskés, Mansi, and Zhang, 2012). In addition, Karpoff and Lou (2010) show that

short sellers can detect firms that misrepresent their financial statements as early as 19

months before the firms publicly disclose the information. Ho, Lin, and Lin (2016)

find that short selling reduces the information asymmetry and agency costs between

firms and banks, resulting in lower bank loan spreads for firms treated in the Reg

1 Furthermore, recent evidence indicates that poorly-performed banks includes those with CEOs who

had better incentives in terms of the dollar value of their stakes (Fahlenbrach and Stulz, 2011); banks

with more shareholder-friendly boards and more fragile financing (Beltratti and Stulz, 2012); banks

with lower-quality regulatory capital such as Tier 1 ratios (Berger and Bouwman, 2013); banks with

worse risk management mechanism (Ellul and Yerramilli, 2013); banks with more highly rated

tranches of securitization (Erel, Nadauld, and Stulz, 2014). Ho, Huang, Lin, and Yen (2016) find that

banks with overconfident chief executive officers (CEOs) tend to take more risk prior to the financial

crisis, thereby these banks experienced lower operating performance and stock returns in the crisis

period.

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SHO PILOT program. Ljungqvist and Qian (2016) demonstrate that unlike the reports

of sell-side analysts, a vast majority of short sellers’ reports disclose new and hard

information.

Given the aforementioned evidence that short sellers are informed about the poor

performance and agency problems of industrial firms, we conjecture that some short

sellers might also be informed about the bleak outlook of some banks before the

occurrence of a financial crisis and capitalize on that private information. If this is the

case, we expect that short interest should increase in the pre-crisis periods and predicts

negatively the crisis returns of those banks. Accordingly, we propose our first

hypothesis that short sellers are informed about the poor performance of some banks

during financial crises, and thus pre-crisis short selling activities could predict bank

stock returns in the crisis periods.

Our empirical tests rely on the two recent banking crises: LTCM crisis and

2007-2009 financial crisis.2 In 1998, the Russian Default led to the collapse of the

hedge fund managed by LTCM with $5 billion of capital and $125 billion of debt.

Federal Reserve Bank of New York induced 14 large banks to provide $3.6 billion US

dollar to rescue the LTCM.3 Alan Greenspan said that “I’ve watching the US markets

for fifty years and I never seen anything like this.” Later on, Federal Reserve System

(FED) lowered interest rate three times in rapid succession between September 29 and

November 17, 1998.4 Similarly, the 2007-2009 financial crisis is considered as the

second largest crisis in history after the Great Depression of the 1930s. Financial

2 Following Fahlenbrach, Prilmeier, and Stulz (2012), the recent financial crisis refers to the period

from July 2007 to December 2009, and the 1998 LTCM crisis refers to the period from August 1998 to

December 1998. 3 Kindleberger, Charles P., and Robert Z. Aliber (2005). Manias, Panics and Crashes. Palgrave

Macmillan. 4 Greenspan, Alan (2008). The age of turbulence: Adventures in a new world. Penguin.

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institutions like Lehman Brothers, Bear Stearns, Merrill Lynch, Fannie Mae, Freddie

Mac, Citigroup, and AIG went bankrupt. American families’ wealth fell totally by

$11 trillion in 2008, equal to the combined output of Germany, Japan, and the UK.5

The finance literature also pays an increasing attention to the role of culture in various

aspects among firms and banks (e.g., Hilary and Hui, 2009; McGuire, Omer, and

Sharp, 2012; Fahlenbrach, Prilmeier, and Stulz, 2012; Bereskin, Campbell, and Kedia,

2014; Guiso, Sapienza, and Zingales, 2015; Liu, 2016). In particular, in a speech

delivered on October 14, 2014, Williams C. Dudley, the president and CEO of the

New York Fed, pointed out that: “I will focus on how incentives could be improved

within the financial services industry to encourage better culture and behavior.”6

Dudley cautioned against an overly risky business model for banks that makes them

more vulnerable during the crises. However, from the short sellers’ perspective, the

weakness of banks is an opportunity for them to make sizable profits if they can

identify the banks with overly risky business models. Then, the natural question to ask

is how do short sellers identify the banks with weakness before crises? The persistent

bank risk culture or risky business models seem to be a good starting point.

Therefore, based on the argument in Fahlenbrach, Prilmeier, and Stulz (2012)

and our first hypothesis, we propose our second hypothesis that short sellers tend to

target the banks that had high-risk exposures in the LTCM crisis when they anticipate

an imminent financial crisis. Following Fahlenbrach, Prilmeier, and Stulz (2012), we

use banks’ stock returns during the 1998 LTCM crisis to represent the potential risk

exposure in the 2007-2009 financial crisis. If short sellers indeed target these banks

with overly risky business models, we should find that the LTCM crisis returns of

5 S. Mitra Kalita (2009). Americans See 18% of Wealth Vanish. The Wall Street Journal.

6 The full text of Dudley’s speech is on the website of the New York Fed (http://www.newyorkfed.org/

newsevents/speeches/2014/dud141020a.html).

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banks predict negatively the change of short interest for these banks before the

2007-2009 financial crisis.

To test our two hypotheses, we collect the short interest data from the New York

Stock Exchange (NYSE), American Stock Exchange (AMEX), and NASDAQ. The

sample comprises 212 banks from 1998 LTCM crisis and 683 banks from the

2007-2009 financial crisis.7 Based on Karpoff and Lou (2010), we use the short

interest level two years before the crisis periods as the benchmark to calculate the

change in short interest. Our results show that the change of short interest in the

pre-crisis period is negatively correlated to the banks’ stock returns during both

banking crises. The result is robust to using one-year short interest change. The banks’

stock returns in the financial crisis, on average, decrease by 5.72% (4.84×1.1830) for a

one-standard-deviation increase in the pre-crisis change of short interest. For the

LTCM crisis, the stock returns decrease by 2.02% for a one-standard-deviation increase

in the pre-crisis change of short interest. These results provide supportive evidence to

our first hypothesis.8

In terms of economic magnitude, the 5.72% for short selling effect represents

approximately 70% of the risk culture effect in Fahlenbrach, Prilmeier, and Stulz

(2012). They find that a one-standard-deviation decrease in banks’ stock returns during

the LTCM crisis is associated with 8.2% lower stock returns during the 2007-2009

financial crisis. Our findings indicate that the predictability of short interest on banks’

stock returns during the crisis periods is both statistically significant and economically

meaningful.

7 We exclude banks without short selling data.

8 We find similar results when using characteristic-adjusted stock returns (Daniel, Grinblatt, Titman,

and Wermers (1997).

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For our second hypothesis, we also find consistent evidence that short sellers

establish larger short positions before the 2007-2009 crisis on the banks that performed

poorly during the LTCM crisis. The result is in line with that of Fahlenbrach, Prilmeier,

and Stulz (2012) who show that past crisis performance can predict bank performance

in the next crisis. Our results not only provide a validity check to their claim on the

existence of bank persistent risk culture but also further indicates that short sellers are

able to comprehend the banks’ risk culture and target those with overly risky business

models before the forthcoming crisis. Overall, the evidence regarding our two

hypotheses provide convincing evidence that short sellers are informed about the

bleak outlook of some banks for the two financial crises and target those with a

persistent culture for risky business models.

We conduct several tests and robustness checks to corroborate our two

hypotheses. First, we repeat our main analysis for the non-financial firms to mitigate

the concern that our previous finding is just a re-documentation of return predictability

of short selling shown in the literature. The results indicate that the magnitude of return

predictability is much larger for the banking industry than that for the non-financial

industries. For example, a one-standard-deviation increase in pre-crisis short selling is

associated with 1.5% lower stock returns for the non-financial firms but 5.72% lower

stock returns for the banks during the financial crisis. Second, we randomly choose

pseudo-events for each bank in our sample to test whether the predictability of short

selling we documented is much weaker during non-crisis periods. This exercise is to

mitigate the concern that we just re-document the stock return predictability of short

interest for the bank sample in the two crisis periods. We find that predictability of short

selling in the financial crisis is around three times stronger than that in the pseudo-event

periods. Thus, this evidence supports our arguments that the stronger predictability of

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short interest on banks’ stock returns during the crisis periods comes at least partially

from their private information on the excessive risk-taking business models.

Third, instead of using change of short interest, we construct three alternative

measures to capture realized short selling activities before crises. For example, we use

the two-stage least squares (2SLS) method by examining the determinants of short

interest in the first stage regression and use the abnormal short interest as the

independent variable for the second stage regression. We find consistent results that

pre-crisis change in abnormal short interest is negatively related to the banks’ stock

returns in the crisis periods. Fourth, we find that banks with larger pre-crisis change of

short interest have lower loan quality and higher default risk in the financial crisis.

These results provide economic channels through which short sellers can detect

worse-performing banks in the crisis periods.

Fifth, by dividing the banks into subsamples based on the level of risk-taking

behavior (i.e., leverage, short-term funding, tangible common equity ratio, and beta),

we find that the predictability of short interest for the banks’ stock returns during a

crisis is stronger in higher risk-taking subsamples. These results are in line with our

second hypothesis that short sellers mainly target on the banks with a high-risk culture

before the crisis. Sixth, we adopt a quantile regression analysis based on the returns

during the financial crisis to see whether our results concentrate on the

worst-performing banks. We find that the return predictability of the pre-crisis short

interest decreases with the return quintile. That is, the predictability is stronger for the

lower return quantiles than for the higher quantiles. This result is consistent with the

findings in Fahlenbrach, Prilmeier, and Stulz (2012) who show that the

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worst-performing banks (bottom 20%) have the highest stock return correlation in the

two crises.

Finally, we use costs of borrowing stocks (equity lending fees) as an alternative

measure for informed short selling (Drechsler and Drechsler, 2016). Our results show

that the pre-crisis stock borrowing cost for banks is inversely correlated to their stock

returns in the financial crisis. This result supports our first hypothesis because the

borrowing costs would be higher if there is a high short selling demand for

poorly-performing banks. Further, we find consistent results when using (1) a different

benchmark period to calculate the change in short interest, (2) a different period to

define crisis stock returns, (3) for two bank size subsamples, and (4) for two industry

subsamples (commercial and investment banks vs. insurance). Collectively, these

additional tests and robustness checks substantiate our main findings.

Our paper contributes to the literature in three ways. First, we shed light on the

debate whether there are any market participants aware of the imminent financial crises.

The public criticizes economists because they were not capable of predicting the

crises and might even contribute to it.9 The US government regulators such as FED

and the Treasury also failed to detect financial bubbles. After retiring as FED

chairman, Alan Greenspan admitted that he did not anticipate the speculative bubble

in the mortgage lending market.10

Moreover, Fahlenbrach and Stulz (2011) find that

CEOs do not anticipate upcoming crises even though they are supposed to have more

private information. In contrast, our results indicate that some short sellers are informed

and establish short positions before the 2007-2009 financial crisis, particularly among

banks that performed rather poorly in the LTCM crisis period. In this regard, our paper

9 See the study of Colander, Goldberg, Haas, Juselius, Kirman, Lux, and Sloth (2009) for details.

10 Edmund L.Andrews, 2008. Greenspan Concedes Error on Regulation in The New York Times

(http://www.nytimes.com/2008/10/24/business/economy/24panel.html?_r=0).

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is related to Hanley and Hoberg (2016) who analyze risk factors in bank 10-Ks based on

computational linguistics and find these factors predicting financial instability in 2008.

Second, our paper adds to the literature on corporate culture, with a focus on the

bank risk culture. Besides the aforementioned Fahlenbrach, Prilmeier, and Stulz

(2012), Ellul and Yerramilli (2013) find that banks with an aggressive risk culture are

associated with weaker risk management functions. Ho, Huang, Lin, and Yen (2016)

find that a bank’s risk culture reflects the character traits of its CEO. We complement

this line of research by showing that short sellers tend to target banks with an overly

risk-taking culture, as exhibited by poor stock performance in the previous crisis.

Third, our research also adds to the short selling literature. A plethora of asset

pricing studies show that short sellers are informed traders and their trading can

predict the future performances of industrial firms. But few studies explore the

interaction between short sellers and banks. One exception is Hasan, Massoud,

Saunders, and Song (2015) who find that banks with subprime assets have higher short

interest.11

Our paper differs from theirs in two ways. First, we demonstrate that short

sellers are able to identify the banks’ risk culture and target overly risk-taking banks

before the two crises. Second, we find that the predictability of short selling for the

financial crisis is around three times stronger than that for non-financial firms and that

in non-crisis periods, indicating that banks with excessive risk-taking models are also

the potential targets among the short sellers.

The paper is organized as follows. Section 2 discusses the hypotheses. Section 3

describes the data. Section 4 presents the empirical results. Section 5 presents the

additional supporting evidence, and Section 6 concludes.

11

The other one is Ho, Lin, and Lin (2016) who find that information asymmetry and agency costs

between firms and banks are reduced due to the relaxation of short-sale constraints, resulting in lower

bank loan spreads.

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2. Hypothesis development

2.1. Informed short sellers and banking crises

The literature shows that short sellers are more likely to be informed than other

investors (Diamond and Verrecchia, 1987). Among others, Senchack and Starks

(1993), Asquith, Pathak, and Ritter (2005), Nagel (2005), and Boehmer, Jones, and

Zhang (2008) all show that an increase in short interest negatively predicts future

stock returns. Their findings indicate that short sellers possess private information and

reveal it to the market via their trading activities.

Another stream of short selling studies explores what types of information short

sellers have that enable their trading activities to predict stock returns. Karpoff and

Lou (2010) find that short interest goes up significantly 19 months prior to the initial

public revelation of a firm’s misrepresentation. They argue that short sellers can use

not only publicly available information (i.e., fundamental accounting) but also other

private information. Christophe, Ferri, and Hsieh (2010) find that short interest

predicts recommendation changes via analyst tipping. Further, Kecskés, Mansi, and

Zhang (2012) show that short interest also predicts the bond spreads.12

These studies indicate that short sellers are informed about various aspects of

firms. We thus conjecture that short sellers also pay attention to some banks that

might suffer a lot before an imminent financial crisis. The implication would be that

econometricians are able to observe a lead-lag correlation between change of short

interest and banks’ stock returns during the crisis periods. Accordingly, we propose

our first hypothesis:

12

However, Engelberg, Reed, and Ringgenberg (2012) argue that the information advantage of short

sellers mainly comes from their premium ability to process publicly available information.

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Hypothesis 1: Short sellers are informed about the poor performance of some banks

during financial crises, and thus pre-crisis short selling activities could predict bank

stock returns in the crisis periods.

2.2. Informed short sellers and the persistent risk culture of banks

Several recent studies explore whether corporate culture affects a bank’s

performance. For example, Fahlenbrach, Prilmeier, and Stulz (2012) use banks’

performance in the LTCM crisis and the financial crisis to test two conflicting

hypotheses: the learning hypothesis and the risk culture hypothesis. If a bank learns

from the past experience, the correlation between banks’ stock returns in two crises

should be negative. However, if the risk culture or business model is persistent, a

bank with poor performance in the LTCM crisis would continue to perform relatively

poorly in the 2007-2009 financial crisis. Their results support the risk culture

hypothesis.

Ellul and Yerramilli (2013) study a sample of 74 US bank holding companies

and find that banks with an aggressive risk culture are associated with weaker risk

management. Cheng, Hong, and Scheinkman (2015) examine the relation between

executive compensation and several risk measures in banks. They find that more

excessive compensation is associated with more risk-taking behavior. Ho, Huang, Lin,

and Yen (2016) find that aggressive banks tend to hire overconfident managers who

are willing to take greater risks.

If banks’ risk culture is persistent, as suggested by Fahlenbrach, Prilmeier, and

Stulz (2012), the poorly-performing banks in the LTCM crisis would continue to

underperform in the 2007-2009 crisis. Thus, sensing an asset bubble in the banking

industry, it might be a good strategy for short sellers to establish short positions on the

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banks that severely underperformed in the LTCM crisis. As a result, we expect a

negative correlation between the banks’ stock returns during the LTCM crisis period

and the change of short interest before the 2007-2009 financial crisis. We thus

propose our second hypothesis:

Hypothesis 2: Short sellers tend to target the banks that had high-risk exposures in

the LTCM crisis when they anticipate an imminent financial crisis.

3. Data

In this section, we provide information on our data sources and summary

statistics of the variables in interests.

3.1. Sample

Our sample comprises all of the financial institutions with SIC codes between

6000 and 6399. These institutions consist of four groups: depository institutions (SIC

6000-6099), non-depository credit institutions (SIC 6100-6199), investment

intermediaries (SIC 6200-6299), and insurance (SIC 6300-6399).13

Following

Fahlenbrach, Prilmeier, and Stulz (2012), the recent financial crisis refers to the

period from July 2007 to December 2009, while the 1998 LTCM crisis refers to the

period from August 1998 to December 1998. The pre-crisis period we use to analyze

the short selling activities refers to the 24-month period prior to the trigger events.

The trigger events occurred in August 1998 and July 2007 for LTCM crisis and

2007-2009 financial crisis, respectively.

We collect the short selling data from two main sources. First, we use the short

interest to measure the trading activities of short sellers. Short interest is the open short

13

For brevity, we use the term “banks” to represent “financial institutions” in this paper.

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position in the NYSE, AMEX, or the NASDAQ. Second, we collect the borrowing cost

data of short selling from the Markit Data Explorer (DXL). Recent studies such as

Beneish, Lee, and Nichols (2015), Drechsler and Drechsler (2016), Engelberg, Reed,

and Ringgenberg (2014), and Chang, Lin, and Ma (2016) also use this database to

gauge the short selling market condition.14

Then, we match the short selling data with

the stock return data from the Center for Research in Security Prices (CRSP) and the

accounting data from Compustat. In total, the sample comprises 212 banks during the

LTCM crisis and 643 banks during the financial crisis.

We use the change of short interest as the primary independent variable, whereas

borrowing cost as the robustness check in Subsection 5.7. We scale the short interest

(SI) by the percentage of the total shares outstanding as in Asquith, Pathak, and Ritter

(2005). They argue that using outstanding stocks rather than the trading volume to

scale the short interest is more appropriate for testing whether short selling discloses

private information. Based on Karpoff and Lou (2010), we use the change of the short

interest 24 months before the crisis period as the benchmark measure (e.g,

1t tSI SI SI , where 1tSI is 24 months prior to the trigger event). We denote the

two primary independent variables as SI for the 2007-2009 financial crisis and

LTCMSI for the LTCM crisis.

The borrowing cost is the Daily Cost of Borrow Score (DCBS) in the DXL. The

DCBS is a cost index that ranges from one (cheapest) to ten (most expensive) that the

DXL assigns to every stock. Similar to the change in the short interest, the change in

borrowing costs is calculated as 1t tCost DCBS DCBS where

1tDCBS is the

DCBS 24 months prior to the trigger events.

14

The DXL consists of data from more than 100 institutional lenders that cover more than 90% of the

US markets’ capitalization (Beneish, Lee, and Nichols, 2015).

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The dependent variables that capture the banks’ crisis performance are RE09 (the

annualized buy-and-hold returns from July 1, 2007 through December 31, 2009),

RE08 (the annualized buy-and-hold returns from July 1, 2007 through December 31,

2009), RE98 (the annualized buy-and-hold returns from August 3, 1998 until the day

in 1998 on which the bank’s stock attains its lowest price), ∆EDF (the change in

expected default frequency (EDF) between crisis years (2007-2009) and year 2006),

and ∆NPL (change in the ratio of nonperforming loans (NPL) to total gross loans

between crisis years (2007-2009) and year 2006).15

The controls variables are BHAR06 (the buy-and-hold returns from July 1, 2006,

through June 30, 2007), LnAssets (log of total assets on December 31, 2006), BM

(book value of common equity divided by market value of common equity on

December 31, 2006), Leverage (ratio of assets to book value of equity on December

31, 2006), TCE ratio (tangible common equity ratio: tangible common equity divided

by tangible assets and multiplied by 100), Beta (banks’ equity beta from a market

model of daily returns in excess of three-month T-bills from January 2004 to

December 2006, where the market is represented by the value-weighted CRSP index),

Idiosyncratic volatility (IDIORISK, standard deviations of the residuals obtained from

a market model of daily returns in excess of three-month T-bills from January 2004 to

December 2006), MES (%) (marginal expected shortfall as defined in Acharya,

Pedersen, Philippon, and Richardson, 2010), measured using the 5% worst days for

the value-weighted CRSP market return during 2004–2006).

3.2. Descriptive statistics

15

The EDF is the percentile ranking of a firm’s default risk based on its distance to default (Bharath

and Shumway, 2008).

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Table 1 presents the summary statistics which include mean, standard deviation,

and quartiles. The table shows that the banks’ stock returns are quite negative during

the financial crisis. The annualized buy-and-hold returns for the periods of July 2007

to December 2008 and July 2007 to December 2009 (RE08 and RE09) are -29.7% and

-24.5%, respectively. In the LTCM crisis, the annualized buy-and-hold return (RE98)

is -82.29% on average. The average ∆EDF and ∆NPL are 0.28 and 2.53%,

respectively.

In particular, there is a considerable increase in the short interest. One and

two-year prior to the financial crisis, the changes of short interest (∆SI12m and ∆SI) are

about 1.24% and 1.98% on average. Likewise, there is an increase of 1.02% in short

interest in the corresponding period of the LTCM crisis (∆LTCMSI). The stock

borrowing costs are greater in the pre-crisis period as well.

[Insert Table 1]

Next, following the study of Fahlenbrach, Prilmeier, and Stulz (2012), we split

our sample into two groups based on the stock returns from July 2007 to December

2009 (i.e., RE09): Bottom Quintile (banks in the lowest RE09 quintile) and Other

Quintiles (other banks).

Table 2 presents the comparisons of the variables between the two groups. The

change of short interest of the bottom performers is 3.1% in the 24-month pre-crisis

period, while the change of short interest for the other banks is only 1.7%. The t-test

of the difference is statistically significant at the 1% level. This result suggests that

some short sellers have established larger short positions for the worst-performing

banks before the crisis.

[Insert Table 2]

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4. Empirical results

In this section, we first test the relation between pre-crisis change of the short

interest and the banks’ stock returns in the two crises. We then examine whether short

sellers target the banks that performed poorly in the LTCM crisis.

4.1. Short selling and stock returns in crises

We use the following ordinary least-squares (OLS) regression to investigate

whether change of the short interest can predict the bank’s stock returns during a

crisis:

,crisis , ,t 109 i i pre crisis i iRE SI Z (01)

,crisis , ,t 198 i i pre crisis i iRE LTCMSI Z (02)

where RE09i,crisis and RE98i,crisis represent stock returns for bank i in the 2007-2009

financial crisis and the LTCM crisis, respectively; ,i pre crisisSI and

,i pre crisisLTCMSI are the changes of the short interest for bank i in the pre-crisis

periods of the two crises, respectively; and , 1i tZ is a vector of control variables for

bank i in year 2006 and year 1997, which are the last full fiscal years prior to the two

crises. The definitions of these control variables are presented in Appendix. In all

regressions, we report the t-values based on the standard errors adjusted for

heteroskedasticity (White, 1980) and industry clustering (Petersen, 2009).

Our first hypothesis argues that short sellers anticipate the imminent banking

crises and establish large short positions for some banks in the pre-crisis periods. The

banks that are heavily shorted should perform worse in the crisis periods. We thus

expect the signs of coefficients in Equations (0)(1) and (2) to be negative.

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We control a number of important bank characteristics: BHAR06, LnAssets, BM,

Beta, Leverage, TCE, MES, and IDIORISK, as those in Fahlenbrach, Prilmeier, and

Stulz (2012). Table 3 presents the regression results. The first specification controls

for BHAR06, LnAssets, BM, Beta, and Leverage. The second specification substitutes

TCE for Leverage. The third specification controls for Leverage, MES, and IDIORISK

but omits the TCE. The fourth specification contains all of the control variables.

Across all specifications, the coefficients of ∆SI are significantly negative. For

example, in Model (1), the coefficient of ∆SI is -0.9982 and statistically significant. A

one-standard-deviation increase in the ∆SI is associated with a 4.83% (4.84×0.9982)

lower stock return during the 2007-2009 financial crisis. After controlling for more

bank characteristics in Models (2) to (4), the economic magnitude of the coefficients

becomes even larger. For example, in Model (4), the stock returns decrease by 5.72%

(4.84×1.1830) during the crisis for a one-standard-deviation increase in the pre-crisis

change of short interest.16

Furthermore, this 5.72% is approximately 70% of the risk culture effect in

Fahlenbrach, Prilmeier, and Stulz (2012), where they find that a one-standard-

deviation lower return during the LTCM crisis is associated with an 8.2% lower return

during the financial crisis. Thus, the predictability of short interest for the banks’ stock

returns during the financial crisis is both statistically significant and economically

meaningful.

[Insert Table 3]

16

We find similar results when we use 125 (5×5×5) or 27 (3×3×3) characteristic-adjusted returns in

Equation (1) based on Daniel, Grinblatt, Titman, and Wermers (1997). The results are available upon

request.

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Next, we test the stock return predictability using LTCM crisis data (Equation

(2)). The control variables, BHAR97, LnAssets1997, BM97, Leverage97, and

TCE1997 ratio are measured on December 31, 1997. The Beta1997, IDIORISK1997,

and MES1997 are estimated using the 1995–1997 period while the BHAR1997 is the

buy-and-hold returns from July 1, 1997, through June 30, 1998.

Table 4 presents the results, which are consistent with those in Table 3. In all

models, there is a significantly negative correlation between LTCMSI and RE98. In

terms of economic significance, Model (4) shows that a one-standard-deviation

increase in LTCMSI is associated with a 2.02% (3.84×0.5268) lower stock return

during the LTCM crisis.

[Insert Table 4]

In sum, the results in both Tables 3 and 4 provide supportive evidence to our first

hypothesis that there is a negative correlation between the change of short interest

prior to the crises and the banks’ stock performances during the crises. That is, short

sellers are informed that some banks are going to be in trouble, and they try to profit

from it.

4.2. Short selling and banks’ risk culture

To test our second hypothesis, we perform the following regression:

, crisis , ,t 1 98i pre i crisis i iSI RE Z (03)

where , crisisi preSI is the change in short interest for bank i in the pre-crisis period of

the financial crisis, while RE98i,crisis is the stock returns of bank i during the LTCM

crisis; and , 1i tZ is a vector of control variables in the year 2004. The Beta2004,

IDIORISK2004, and MES2004 are estimated using the 2002–2004 period while

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BHAR2004 is the buy-and-hold returns from July 1, 2004, through June 30, 2005. The

other control variables are measured on December 31, 2004.

Our second hypothesis states that short sellers target the banks that severely

underperformed during the LTCM crisis before the 2007-2009 financial crisis. These

banks are the obvious targets of short sellers as long as the culture of taking excessive

risks does not change. We thus expect a negative sign for the coefficient in

Equation (0)(3).

Table 5 presents the results. Across all four specifications, we can observe a

negative correlation between RE98 and ∆SI. In Model (4), a one-standard-deviation

decrease in the bank stock return during the LTCM crisis is associated with a 1.64%

(18.55×0.0884) higher short interest in the pre-crisis period of the financial crisis.

[Insert Table 5]

These results not only support our second hypothesis but also provide a validity

check to the risk culture hypothesis in Fahlenbrach, Prilmeier, and Stulz (2012). They

argue that banks with a persistent risk culture and that performed poorly in the LTCM

crisis do not learn from that experience. These banks continue to take on higher

leverage, riskier funding, and higher asset growth than the other banks. Consequently,

these banks continue to underperform in the next crisis. Therefore, for short sellers

who predict that the asset bubble might be bringing down the banking industry, they

could target these banks, resulting in the documented negative correlation between the

returns during the LTCM crisis and the ∆SI before the financial crisis.

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5. Additional supporting evidence

In this section, we provide further supporting evidence that aligns our findings to

the two proposed hypotheses. First, we repeat the analysis for non-financial firms.

Second, we compare the predictabilities of short interest on bank stock returns during

the crisis periods and pseudo-event periods. These two exercises help to rule out the

concern that we just re-document the stock return predictability of short sales. Third,

we adopt alternative measures of abnormal short interest and re-do the main analysis.

Fourth, we investigate whether the change of short interest also predicts alternative

measures of bank performance in the financial crisis. Fifth, we conduct a subsample

analysis for our first hypothesis by dividing the sample into high/low risk-taking banks.

Sixth, we adopt a quantile regression analysis to see whether the predictability of short

interest for bank returns concentrates on the lower performing quantiles. Seventh, we

use the borrowing cost of short selling as an alternative measure for informed short

selling. Finally, we repeat the main analysis by using alternative time periods of short

interest and crisis returns as well as using bank size/industries subsamples for

establishing the robustness.

5.1 Returns predictability for non-financial firms is much lower in crises

In this subsection, we repeat our analysis for the non-financial sample. We collect

all firms with available short selling data before the financial crisis, after excluding the

financial industry. Then, we merge the short selling data with stock returns and

accounting data. We perform a regression as specified in Equation (1) and present the

results in Table 6.

In all specifications, we find a negative relation between RE09 and ∆SI. This result

is consistent with the existing literature that short sellers are informed, and short

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interest can predict stock returns. However, the economic significance for the

non-financial sample is much smaller than that for bank sample during the crisis

periods. For example, in Model (4), a one-standard-deviation increase in pre-crisis

short interest is associated with about 1.5% lower stock returns for non-financial firms

in the financial crisis, while stock return decreases about 5.72% for banks (in Table 3).

Thus, short selling predictability is much stronger for banks than that for non-financial

industries.

[Insert Table 6]

5.2. Pseudo-events predictability of short selling is much lower

Following the approach in Chan, Ge, and Lin (2015), we conduct a simulation to

select pseudo-events for banks in non-crisis periods. For each bank in our sample of the

2007-2009 financial crisis, we randomly choose a month in non-crisis periods from

1990 to 2014 and consider that month is the actual trigger event of the financial crisis.

We then regress the annualized buy-and-hold stock returns of 30-month pseudo-events

(from month t to month t+29, which matches the duration of 2007-2009 crisis) on

change in short interest of 24-month before the pseudo-events (from month t-24 to

month t-1). We control for the same pre-year bank characteristics as those in Table 3.

We repeat the process for 1,000 times and report the average coefficient for the change

of short interest (∆SI) and its associated p-value. We compute the p-value for the

change of short interest as the fraction of the number of times that the coefficient of the

simulated sample is much larger than that of the actual sample (in Table 3). We present

the results of this simulation exercise in Table 7. For easier comparison, we also report

the coefficients of the actual sample in the first row of the table.

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The negative sign of the average coefficient from 1,000 simulations indicates that

short sellers are in general informed about future banks’ stock returns, which is again

consistent with the short selling literature. However, the coefficients of the actual bank

sample are around three times larger in magnitude than those in the simulations. In

addition, the small p-values indicate that there are very few simulations in which the

short sellers have stronger predictability for banks’ stock returns in the non-crisis

periods. Like results in Section 5.1, these findings indicate that the predictability of

short interest for banks’ stock returns is much stronger in the financial crisis,

supporting our argument that short sellers have incremental information regarding

bank stock performance in the crisis. As we argued in our second hypothesis, this

incremental information is likely to be rooted in the persistent bank risk culture and

business models.

[Insert Table 7]

5.3. Alternative measures of short interest yield consistent results

In this subsection, we construct several alternative measures of abnormal short

interests and test whether our findings are robust to these measures.

Following Dechow, Hutton, Meulbroek, and Sloan (2001), Asquith, Pathak, and

Ritter (2005), and Karpoff and Lou (2010), we construct the first measure of abnormal

short interest ABSI(1) that adjusts for size (market value of equity), book-to-market

ratio (BM), and momentum (the prior year return of the stock). For each month, each

stock is assigned to one of 27 portfolios which are constructed by sorting stocks based

on size, book-to-market ratio, and momentum. We run a first-stage regression as

follows:

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1 2 3 4

5 61

(4)

it it it it it

K

it it itk iktk

SI LowSize MedSize LowBM MedBM

LowMom MedMom Ind u

SIit is the number of shares shorted divided by the shares outstanding. The first six

explanatory variables are used to jointly define 27 portfolios based on size,

book-to-market, and momentum. For example, if bank i is assigned to the portfolio with

lowest market value in month t, then LowSizeit = 1 and MedSizeit = 0. Indikt are industry

dummies based on first two-digit SIC code. If bank i belongs to industry k, then Indikt =

1 and otherwise is 0. After running the regression, abnormal short interest is defined as

the difference between raw short interest and fitted short interest:

( ) ( ) , 1,2 it it itABSI j SI SI j j

(04)

where SIit is raw short interest and ( )itSI j

is fitted short interest from the above

regression.

With the same process, we construct our second abnormal short interest measure,

ABSI(2), from 243 size-, BM-, momentum-, share turnover-, and institutional

ownership- based portfolios with share turnover (i.e., share trading volume over

number of share outstanding) and institutional ownership (i.e., number of share owned

by institutional investors divided by number of share outstanding) as additional

controls.

Accordingly, we have two measures of abnormal short interest: ABSI(1) and

ABSI(2). Then, we define changes in abnormal short interest in the 24-month period

before the financial crisis: , , 1( ) ( ) ( )i i t i tABSI j ABSI j ABSI j . We then use these two

measures as our main explanatory variables to re-perform our main analysis in the 2nd

stage regression as follows:

,crisis , ,t 109 ( ) , 1,2i i pre crisis i iRE ABSI j Z j (6)

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Table 8 presents the regression results. Consistently, we find a negative

correlation between change of abnormal short interest and crisis returns, supporting our

first hypothesis that short sellers have private information regarding the imminent

financial crisis.

[Insert Table 8]

We construct a third measure of abnormal short interest based on a 2SLS

approach. We first regress the change of short interest on the risk-taking measures and

bank characteristics in the following equation:

, , 1 i pre crisis ii tSI Z (7)

where , 1i tZ is a vector of control variables in the year 2004, including BHAR04,

LnAssets04, BM04, Leverage04, TCE04, Beta04, MES04, and IDIORISK04.

Then, our third measure of abnormal short interest is calculated as:

,,(3) i pre crisisi pre crisisi SISIABSI

, where ,i pre crisisSI

is fitted value that

derived from the 1st-stage regression in Equation (7). We then replace ,i pre crisisSI

with (3)iABSI into the regression Equation (1) as follows:

,crisis , 1,09 ABSI(3)i i t ii pre crisisRE Z (8)

where , 1i tZ is a vector of control variables in the year 2006.

Table 9 presents the regression results and shows that the negative correlation

between abnormal short interest and crisis returns remains.

[Insert Table 9]

5.4. Short selling predicts loan quality and default risk

Ho, Huang, Lin, and Yen (2016) find that risky banks (banks with overconfident

CEOs) suffer more in terms of more non-performing loans (NPL) and higher expected

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default frequency (EDF) during the financial crisis. Thus, in this subsection, we

examine whether the pre-crisis change of short interest also predicts these operating

performance measures of banks during the 2007-2009 financial crisis as additional

supportive evidence for our first hypothesis. We perform the following regression:

,crisis , ,t 1 i i pre crisis i iNPL SI Z (9)

,crisis , ,t 1 i i pre crisis i iEDF SI Z (10)

where ∆NPLi,crisis and ∆EDFi,crisis represent the change in the NPL ratio and the

change in EDF for bank i in the financial crisis, respectively; ,i pre crisisSI is the

change in short interest for bank i in the pre-crisis period of the financial crisis as in

Equation (1); and , 1i tZ is a vector of control variables for bank i in year 2006. We

expect the signs of the coefficients in Equations (9) and (10) to be positive.

Table 10 presents the results. First, there is a significantly positive correlation

between pre-crisis short interest and the NPL ratio during the financial crisis. For

example, in Model (4), a one-standard-deviation increase in the pre-crisis short

interest is associated with a 0.49% (4.84×0.1023) increase in the NPL ratio, indicating

that short sellers can identify banks that have poor loan quality.

[Insert Table 10]

Second, the coefficients of ∆SI are also significantly positive across columns (5)

to (8). Banks with a higher change of short interest prior to the financial crisis are

more likely to default during the crisis. In terms of economic significance, the EDF

increases by 0.045 (4.84×0.0094) when there is a one-standard-deviation increase in

the change in short interest. These results provide consistent evidence to our first

hypothesis that short sellers are informed about the poor performance of some banks

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before the financial crisis. These results also provide potential channels in what way

the targeted banks will underperform in the financial crisis.

5.5. Return predictability concentrates on the risky subsample

Fahlenbrach, Prilmeier, and Stulz (2012) show that worse-performing banks in

the LTCM crisis tend to have greater asset growth, more reliance on short-term

funding, and higher leverage in year 2006. Therefore, we should observe that short

sellers target these banks before the financial crisis. We thus expect that our previous

findings in Equation (1) should be stronger for the banks with higher Leverage, TCE,

and Beta. In each risk-taking proxy, we divide the sample into three groups: low,

medium, and high-risk.

We present the results in Table 11. As expected, the predictability of short

interest indeed concentrates on the banks at a higher risk-taking level (i.e., medium

and high-risk groups). The ∆SI is inversely correlated to RE09 in high-risk groups for

Leverage (medium and high), TCE (medium and high), and Beta (medium and high).

In contrast, the coefficients of ∆SI are negative but insignificant in the low-risk groups.

This evidence supports our argument that short sellers mainly target the banks with

high risk-taking business models.

[Insert Table 11]

5.6. Quantile regression: Predictability is stronger for worse-performing banks

Fahlenbrach, Prilmeier, and Stulz (2012) find that bottom quantile (banks in the

lowest RE09 quintile) has the strongest stock return correlations between the two

crises, compared with the other quantiles. In this subsection, we adopt a quantile

regression analysis to examine whether the stock return predictability of short interest

is the stronger in lower quantile banks. The quantile regression framework overcomes

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several disadvantages of the standard linear regression such as a partial relation based

on a conditional mean function, sensitivity to outliers, and restrictive assumptions.

Thus, we use it as a methodological robustness check. We re-estimate the correlation

between the changes of short interest and the bank crisis returns as specified in

Equation (1). We use a full set of control variables as in Model (4) of Table 3.

Table 12 presents the estimated coefficients, and we also report the OLS

estimation from Model 4 in Table 3 in the last column for easier comparison. In the

lower quantiles such as 0.2 and 0.4, there is a significantly negative correlation

between ∆SI and the annualized buy-and-hold returns in the financial crisis. For

example, at quantile 0.2 , a one-standard-deviation increase in ∆SI is associated

with a 6.38% (4.84×1.3181) lower return during the financial crisis. However, in the

higher quintiles, the effect becomes weaker. At quantile 0.8 , the coefficient for

∆SI remains negative but statistically insignificant.

[Insert Table 12]

To sum up, these findings indicate that the crisis return predictability of short

interest is indeed stronger for worse-performing banks.

5.7. Using borrowing costs of short selling yield similar results

In this subsection, we use stock borrowing cost as an alternative measure for

informed short selling. We perform the following regression to test whether our main

results hold when replacing the change of short interest with the change of borrowing

costs:

, ,t 1,crisis09 i pre crisis iiiRE COST Z (11)

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where RE09i,crisis represents the stock returns for bank i in the financial crisis;

,i pre crisisCOST is the change of stock borrowing costs for bank i in the pre-crisis

period; and , 1i tZ is a vector of control variables for bank i in the year 2006. We

expect the sign of the coefficient in Equation (11) to be negative.

Table 13 presents the regression results. The coefficients of COST are

significantly negative in all specifications, consistent with our first hypothesis. The

economic magnitude is also meaningful. For example, in Model (4), a

one-standard-deviation increase in COST is associated with a 4.24%

(0.904×4.6930) lower return during the financial crisis.

[Insert Table 13]

5.8. Other robustness checks provide consistent results

This subsection provides several other robustness checks for our main results.

First, we adopt alternative time periods to calculate the crisis returns and the changes of

short interest. This is to check the sensitivity of the regression results in Equation (1).

Following Fahlenbrach, Prilmeier, and Stulz (2012), the definition of crisis period for

our main results in Table 3 is from July 2007 to December 2009, while the change in

short interest in the pre-crisis period is calculated from June 2005 to June 2007. Here,

we consider the crisis period as July 2007 to December 2008 for the dependent variable

(RE08) and the change of short interest from June 2006 to June 2007 for the

independent variable (12mSI ). We then consider three different model specifications:

Model (1) includes the alternative crisis return (RE08) and the original change of short

interest ∆SI; Model (2) includes the original crisis return RE09 and the alternative

change of short interest (∆SI12m); and Model (3) includes the alternative crisis return

(RE08) and the alternative change of short interest (∆SI12m). In all specifications, we

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control for a full set of bank characteristics. Models (1) to (3) of Table 14 report the

results. In all models, the change of the short interest predicts the crisis returns of the

banks. This is line with our previous findings and indicates that our main results are

robust to the definitions of crisis and pre-crisis periods.

Second, we redo the analysis for two subsamples based on market capitalization:

small banks (smaller than median) and large banks (higher than median) in Models (4)

and (5). The results show that short selling predictability are robust across bank size.

The coefficients of ∆SI are significantly negative in both subsamples but are larger for

small banks. This evidence is consistent with the literature that return predictability is

larger among smaller firms.

Third, to test if our results are robust among financial industries, we repeat the

analysis with two industry subsamples: (1) Commercial and investment banks, and (2)

Insurance in Models (6) and (7) of Table 14. The coefficients of SI are statistically

significant and negative in both industry subsamples.

[Insert Table 14]

Collectively, these results provide evidence that our results are not driven by a

particular definition of a crisis period, change of short interest, bank size, or a

particular type of financial institution.

6. Conclusion

The existing studies show that short sellers are informed, and their trading can

predict various aspects of firm performance. Our study sheds light to this literature by

focusing on whether the change of short interest before a crisis predicts the banks’

stock returns during the crisis. More intriguingly, we further explore whether short

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sellers target the banks that performed worse in the previous LTCM crisis, which

indicates banks excessive risk-taking culture could serve as a red flag to the short

sellers.

Our results provide convincing evidence that there is a negative correlation

between the change of short interest before the crisis and the bank stock performance

during the two crises. We also find that before the 2007-2009 financial crisis, the short

selling concentrates on the banks that performed relatively poorly in the LTCM crisis.

This evidence not only provides the validity check to the finding in Fahlenbrach,

Prilmeier, and Stulz, (2012) who argue that there is a persistent risk culture among

banks, but also indicates that the very culture of taking overly high risks makes these

banks the targets of short sellers before the 2007-2009 financial crisis.

We provide a set of robustness checks to support our main findings. First, short

sellers’ predictability is stronger for banks than non-financial industries. Second, short

sellers’ predictability is stronger in the financial crisis than in non-crisis

pseudo-periods. Third, our main results are robust to alternative constructions of short

interests. Fourth, banks that are shorted more before the crisis have lower loan quality

and higher default risk in the financial crisis. Fifth, the crisis return predictability of

short interest is stronger among the riskier banks. Sixth, our quantile regression

analysis indicates that the crisis return predictability of short interest is stronger for the

worse-performing banks. Seventh, we find similar results when using the borrowing

costs faced by short sellers as the informed short selling measure. Finally, our results

are robust to using alternative definitions of pre-crisis and crisis periods, subsamples

of bank size, and subsamples of financial industries.

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Collectively, these results provide strong evidence that short selling predicts the

performance of banks in the crisis periods, and that short sellers are able to identify

the banks with a persistent culture of high-risk business models.

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Appendix Variable definitions

Variable Definition Data Source

Panel A: Short selling variables

SI Change in total number of stocks that are borrowed divided by

the stocks outstanding from June 2005 through June 2007.

NYSE, AMEX,

NASDAQ

12mSI Change in total number of stocks that are borrowed divided by

the stocks outstanding from June 2006 through June 2007.

NYSE, AMEX,

NASDAQ

LTCMSI Change in total number of stocks that are borrowed divided by

the stocks outstanding from August 1996 through July 1998.

NYSE, AMEX,

NASDAQ

COST Change in stock borrowing costs (Daily Cost of Borrow

Score—a relative measure of borrowing costs, constructed by

DXL. It ranges from 1- cheap to borrow- to 10- expensive to

borrow) from June 2005 through June 2007.

DXL

Panel B: Crisis performance variables

RE09 The annualized buy-and-hold returns from July 1, 2007 through

December 31, 2009.

CRSP

RE08 The annualized buy-and-hold returns from July 1, 2007 through

December 31, 2008.

CRSP

RE98 Following (Fahlenbrach et al., 2012), RE98 is the annualized

buy-and-hold returns from August 3, 1998, until the day in 1998

on which the bank’s stock attains its lowest price. If the lowest

price occurs more than once, then the return is calculated using

the first date on which it occurs.

CRSP

∆EDF Change in expected default frequency (EDF) between crisis years

(2007-2009) and year 2006. The EDF is the percentile ranking of

a firm’s default risk based on its distance to default (constructed

from Bharath and Shumway, 2008).

Compustat and

CRSP

∆NPL Change in ratio of nonperforming loans (NPL) to total gross

loans between crisis years (2007-2009) and year 2006.

Nonperforming loans are defined as loans with interest payments

and principal more than 90 days overdue.

Compustat

Panel C: Bank characteristics

BHAR06 The buy-and-hold returns from July 1, 2006, through June 30,

2007.

CRSP

LnAssets Log of total assets (U.S. billion) on December 31, 2006. Compustat

BM Book value of common equity divided by market value of

common equity on December 31, 2006.

Compustat and

CRSP

Leverage Ratio of assets to book value of equity on December 31, 2006. Compustat

TCE ratio Tangible common equity ratio: tangible common equity divided

by tangible assets and multiplied by 100.

Compustat

Beta Bank’s equity beta from a market model of daily returns in

excess of three-month T-bills from January 2004 to December

2006, where the market is represented by the value-weighted

CRSP index.

CRSP

Idiosyncratic

volatility

Standard deviation of the residuals obtained from a market

model of daily returns in excess of three-month T-bills from

January 2004 to December 2006, where the market is

CRSP

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(IDIORISK) represented by the value-weighted CRSP index.

MES (%) Marginal expected shortfall as defined in Acharya, Pedersen,

Philippon, and Richardson (2010), measured using the 5% worst

days for the value-weighted CRSP market return during 2004–

2006.

CRSP

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Table 1 Summary statistics

The table presents the summary statistics for all of the variables used in this study. The financial crisis

is from July 1, 2007, through December 31, 2009, for RE09; and from July 1, 2007, through December

31, 2008, for RE08. The RE98 is from August 3, 1998, until the day in 1998 on which the bank’s stock

attains its lowest price during the LTCM crisis. The ∆SI and ∆COST are changes in the short interest

and the stock borrowing cost from June 2005 through June 2007, respectively. ∆SI12m and ∆LTCMSI

are similar measures of short interest from June 2006 through June 2007 and from August 1996

through July 1998. The other variables are bank characteristics in the year 2006. The variable

definitions are in the appendix.

(1) (2) (3) (4) (5) (6)

Obs Mean SD p25 p50 p75

RE09 683 -24.50 28.76 -42.55 -20.88 -4.84

RE08 683 -29.70 32.30 -51.94 -30.52 -7.08

RE98 249 -82.29 18.55 -96.16 -88.66 -75.91

∆SI 643 1.98 4.84 -0.03 0.30 3.82

∆SI12m 688 1.24 3.42 -0.02 0.12 2.20

∆LTCMSI 328 1.02 3.84 0.00 0.18 0.90

∆COST 400 0.15 0.90 0.00 0.00 0.14

BHAR06 696 0.35 24.48 -12.84 -2.84 10.47

LnAssets 695 13.06 1.83 11.68 12.88 14.24

BM 691 0.93 2.20 0.45 0.61 0.78

Leverage 638 9.45 5.14 5.41 9.78 12.55

TCE 583 13.83 27.83 3.57 5.23 10.85

Beta 696 0.94 0.18 0.87 0.96 1.04

IDIORISK 696 0.02 0.01 0.01 0.02 0.03

MES 696 -1.09 0.86 -1.64 -1.09 -0.35

∆EDF 515 0.28 0.21 0.12 0.27 0.44

∆NPL 436 2.53 2.75 0.73 1.75 3.51

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Table 2 Comparison of bank characteristics

This table presents the differences in characteristics between two groups: Bottom Quintile (i.e., lowest

RE09 quintile) and Other Quintiles (i.e., other banks). The crisis period is from July 1, 2007, through

December 31, 2009, for RE09; and from July 1, 2007, through December 31, 2008, for RE08. The ∆SI

and ∆COST are changes in the short interest and the stock borrowing cost from June 2005 through June

2007, respectively. The ∆SI12m is similar measure of short interest from June 2006 through June 2007.

The other variables are firm characteristics in the year 2006. The variable definitions are in the

appendix. The superscripts *, **, and *** denote significance at 10%, 5%, and 1% levels, respectively.

Bottom

Quintile

Obs

Bottom

Quintile

Mean

Other

Quintiles

Obs

Other

Quintiles

Mean

Difference

Bottom-Other

t-statistics

RE09 136 -68.1106 547 -13.6570 -54.4536*** -30.2008

RE08 136 -68.9451 547 -19.9404 -49.0046*** -19.9002

∆SI 122 3.1305 521 1.7141 1.4165*** 2.9280

∆SI12m 135 1.7882 553 1.1112 0.6770** 2.0679

∆COST 61 0.4153 339 0.1001 0.3152** 2.5229

BHAR06 136 -9.0278 560 2.6314 -11.6592*** -5.0700

LnAssets 135 13.0488 560 13.0619 -0.0132 -0.0749

BM 135 0.9845 556 0.9206 0.0638 0.3019

Leverage 129 11.3651 509 8.9596 2.4054*** 4.8352

TCE 123 11.3835 460 14.4790 -3.0955 -1.0958

Beta 136 0.9225 560 0.9418 -0.0193 -1.1311

IDIORISK 136 0.0209 560 0.0219 -0.0010 -0.8284

MES 136 -1.0405 560 -1.1069 0.0664 0.8099

∆EDF 115 0.4889 380 0.2245 0.2644*** 13.5995

∆NPL 107 5.326 311 1.652 3.6740*** 14.4165

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Table 3 Short selling and financial crisis returns

This table presents OLS regression results for the short selling and financial crisis returns. The crisis

period is from July 1, 2007, through December 31, 2009.

,crisis , , t 109

i i pre crisis i iRE SI Z

where RE09i,crisis represent stock returns for bank i in the financial crisis; ,i pre crisis

SI

is the change in

short interest for bank i in the pre-crisis period of the crisis; , 1i t

Z

is a vector of control variables for

bank i in the year 2006. The variable definitions are in the appendix. The t-statistics are in parentheses

and are based on standard errors adjusted for heteroskedasticity (White, 1980) and industry clustering

(Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%, and 1% levels,

respectively.

(1) (2) (3) (4)

RE09 RE09 RE09 RE09

Constant -33.4786*** -53.8432*** -0.5101 -11.0910

(-3.22) (-5.38) (-0.05) (-0.70)

∆SI -0.9982*** -1.0844*** -1.0612*** -1.1830***

(-3.57) (-3.56) (-3.75) (-4.04)

BHAR06 0.2088*** 0.2331*** 0.1897*** 0.1816***

(3.64) (4.08) (3.38) (3.11)

LnAssets -1.1034 -0.4164 -1.3483* -0.9473

(-1.50) (-0.52) (-1.81) (-1.15)

BM -0.1494 -0.8885* -0.3250 -0.5397

(-0.28) (-1.83) (-0.61) (-0.92)

Beta 38.2027*** 37.7829*** 4.6405

(3.20) (3.18) (0.33)

Leverage -1.1629*** -1.1645*** -1.0100***

(-4.57) (-4.41) (-3.33)

TCE 0.0712** 0.0283

(2.14) (0.81)

MES -7.0877*** -6.6086***

(-4.11) (-2.96)

IDIORISK -25.8571 -47.9235

(-0.20) (-0.39)

Obs. 575 525 575 525

Adj-R2 0.1003 0.0653 0.1078 0.0979

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Table 4 Short selling and LTCM crisis returns

This table presents OLS regression results for the short selling and LTCM crisis returns. The crisis

period is from August 3, 1998, through December 31, 1998.

,crisis , , t 198

i i pre crisis i iRE LTCMSI Z

where RE98i,crisis represent stock returns for bank i in the LTCM crisis; ,i pre crisis

LTCMSI

is the

change in short interest for bank i in the pre-crisis period of the LTCM crisis; , 1i t

Z

is a vector of

control variables for bank i in the year 1997. The variable definitions are in the appendix. The

t-statistics are in parentheses and are based on standard errors adjusted for heteroskedasticity (White,

1980) and industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at

the 10%, 5%, and 1% levels, respectively.

(1) (2) (3) (4)

RE98 RE98 RE98 RE98

Constant -83.5167*** -93.3388*** -80.7967*** -90.1619***

(-12.79) (-12.01) (-10.02) (-10.68)

∆LTCMSI -0.4865** -0.5916** -0.4971** -0.5268*

(-2.56) (-1.99) (-2.50) (-1.83)

BHAR97 -0.0195 0.0194 -0.0106 0.0257

(-0.93) (0.83) (-0.51) (0.99)

LnAssets97 1.4420* 0.6129 0.6023 0.7292

(1.90) (0.75) (0.81) (0.79)

BM97 11.2706* 21.0396*** 12.8849** 19.2531***

(1.80) (2.99) (2.03) (2.86)

Leverage97 -0.4248*** -0.2973** -0.2107

(-3.14) (-2.08) (-0.79)

Beta97 -15.8279*** -8.3232* 0.3063

(-4.15) (-1.83) (0.04)

TCE97 0.0372 0.0359

(0.54) (0.52)

MES97 5.6706*** 4.2989

(3.70) (1.28)

IDIORISK97 -63.4524 -83.6520

(-0.52) (-0.87)

Obs. 212 124 212 124

Adj-R2 0.1319 0.0963 0.1180 0.0908

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Table 5 LTCM crisis returns and short selling in pre-crisis period

This table presents OLS regression results for the LTCM crisis return and short selling in pre-crisis

period.

, crisis , , t 1 98

i pre i crisis i iSI RE Z

where

,i pre crisisSI

is the change in short interest for bank i in the pre-crisis period of the financial

crisis while RE98i,crisis is the stock returns for bank i in the LTCM crisis; , 1i t

Z

is a vector of control

variables for bank i in the year 2004. The variable definitions are in the appendix. The t-statistics are in

parentheses and are based on standard errors adjusted for heteroskedasticity (White, 1980) and industry

clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%, and

1% levels, respectively.

(1) (2) (3) (4)

∆SI ∆SI ∆SI ∆SI

Constant 2.4188 -0.4563 6.9827*** 5.2138

(0.71) (-0.13) (3.44) (1.55)

RE98 -0.0628*** -0.0802*** -0.0653*** -0.0884***

(-6.67) (-12.85) (-3.59) (-4.14)

BHAR04 0.0240 0.0200 0.0210 0.0207

(0.44) (0.37) (0.41) (0.39)

LnAssets04 -1.0285*** -0.6109*** -1.3358*** -1.5273***

(-5.41) (-4.46) (-3.37) (-2.63)

BM04 4.1995*** 4.7528*** 4.9020*** 6.7421**

(5.24) (3.62) (3.34) (2.10)

Beta04 0.2991 -0.5327 0.6078

(0.09) (-0.17) (0.15)

Leverage04 0.2055** 0.2340* 0.2871

(2.10) (1.80) (1.57)

TCE04 0.0134 0.0179

(0.36) (0.62)

MES04 -0.3336 -0.3859

(-0.31) (-0.42)

IDIORISK04 -160.1702** -188.8326*

(-2.21) (-1.88)

Obs. 109 90 109 90

Adj-R2 0.0344 0.0034 0.0602 0.0434

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Table 6 Short selling and financial crisis returns: Non-financial firms

This table presents OLS regression results for the short selling and financial crisis returns for

non-financial firms. The crisis period is from July 1, 2007, through December 31, 2009.

,crisis , , t 109

i i pre crisis i iRE SI Z

where RE09i,crisis represent stock returns for bank i in the financial crisis; ,i pre crisis

SI

is the change in

short interest for bank i in the pre-crisis period of the crisis; , 1i t

Z

is a vector of control variables for

bank i in the year 2006. The variable definitions are in the appendix. The t-statistics are in parentheses

and are based on standard errors adjusted for heteroskedasticity (White, 1980) and industry clustering

(Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%, and 1% levels,

respectively.

(1) (2) (3) (4)

RE09 RE09 RE09 RE09

Constant -17.1186***

-17.3212***

-12.4984***

-13.6439***

(-7.78) (-7.25) (-4.26) (-4.42)

∆SI -0.1347***

-0.1304***

-0.1437***

-0.1383***

(-3.18) (-3.07) (-3.35) (-3.22)

BHAR06 -0.0187***

-0.0185***

-0.0176***

-0.0173***

(-2.78) (-2.75) (-2.72) (-2.67)

LnAssets 0.7667***

0.7926***

0.3621 0.4183

(3.69) (3.59) (1.36) (1.47)

BM -4.7471* -5.3901

** -4.8799

* -5.3285

**

(-1.81) (-2.08) (-1.88) (-2.06)

Beta 1.0383 0.9685 0.6172

(1.10) (1.01) (0.45)

Leverage 0.0324***

0.0321***

0.0326***

(5.53) (5.56) (5.69)

TCE 0.0135 0.0122

(1.29) (1.15)

MES -91.8474 -62.8853

(-1.49) (-0.72)

IDIORISK -0.9005**

-0.7417*

(-2.01) (-1.66)

Obs. 2,624 2,571 2,624 2,571

Adj-R2 0.0181 0.0166 0.0195 0.0185

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Table 7 Pseudo-events predictability of short selling

This table shows the coefficients of change in short interest in regressions of the financial crisis returns

based on simulation. For comparison, the coefficients in the first row are our original sample of the

financial crisis (i.e., Table 3). The second row presents the coefficients from the simulation. For each

bank in our sample, we randomly choose a non-crisis month as its pseudo-event month. We regress the

annualized buy-and-hold stock returns of 30-month pseudo-events (from month t to month t+29) on

change in short interest of 24-month before the pseudo-events (from month t-24 to month t-1), and

control for the pre-year bank characteristics as those in Table 3. We repeat the process for 1,000 times

and report the average coefficient of the change in short interest (∆SI) and its associated p-value in

parentheses. p-value is the fraction of the number of times that the simulated coefficient is larger than the

coefficient of the actual sample (in Table 3).

Model 1 Model 2 Model 3 Model 4

Original sample on actual

Crisis periods

-0.9982 -1.0844 -1.0612 -1.1830

Sample banks on Non-Crisis

periods pseudo-events

-0.4032

(0.068)

-0.3667

(0.054)

-0.3493

(0.047)

-0.3502

(0.027)

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Table 8 Abnormal short interest and stock returns (I)

This table presents OLS regression results for the short selling and financial crisis returns. The crisis period is from July 1, 2007, through December 31, 2009.

,crisis , , t 109 ( ) 1, 2,

i i pre crisis i iRE ABSI j Z j

where RE09i,crisis represent stock returns for bank i in the financial crisis; ,( )

i pre crisisABSI j

is the change in abnormal short interest for bank i in the pre-crisis period of the

crisis; , 1i t

Z

is a vector of control variables for bank i in the year 2006. To construct ABSI(1), we regress short interest (as percentage of the number of share outstanding) on

explanatory variables (size, book-to-market, momentum, and industry dummies). To construct ABSI(2), besides size, book-to-market, momentum, and industry dummies, we

add share turnover and institutional ownership as explanatory variables in the short interest regression. Following Karpoff and Lou (2010), abnormal short interest is

calculated by subtracting raw short interest from the fitted short interest of the short interest regression. Industry is defined as two-digit SIC code from CRSP, share turnover

is share trading volume divided by the number of share outstanding, and institutional ownership is the number of shares owned by institutional investors divided by the

number of share outstanding. The variable definitions are in the appendix. The t-statistics are in parentheses and are based on standard errors adjusted for heteroskedasticity

(White, 1980). The superscripts *, **, and *** denote significance at the 10%, 5%, and 1% levels, respectively.

(1) (2) (3) (4) (5) (6) (7) (8)

RE09 RE09 RE09 RE09 RE09 RE09 RE09 RE09

Constant -20.7047** -54.0617*** 13.2073 -15.8855 -19.4389** -52.4897*** 11.6412 -16.9220

(-2.34) (-5.75) (1.51) (-1.15) (-2.19) (-5.60) (1.33) (-1.19)

∆ABSI(1) -0.8669*** -0.8299** -0.9128*** -0.9396***

(-2.97) (-2.41) (-2.95) (-2.70)

∆ABSI(2) -0.7098*** -0.6796** -0.7489*** -0.7651**

(-2.67) (-2.14) (-2.71) (-2.45)

BHAR06 0.1893*** 0.2418*** 0.1720*** 0.2055*** 0.1963*** 0.2481*** 0.1809*** 0.2136***

(3.24) (4.18) (3.00) (3.53) (3.37) (4.32) (3.17) (3.70)

LnAssets -1.3619** 0.4100 -1.7885*** 0.1531 -1.3496** 0.4494 -1.7344*** 0.2614

(-2.33) (0.63) (-3.01) (0.22) (-2.30) (0.69) (-2.89) (0.38)

BM 0.2694 -0.5489 0.1503 -0.3024 0.3208 -0.4870 0.2033 -0.2463

(0.38) (-1.14) (0.22) (-0.54) (0.48) (-1.10) (0.31) (-0.48)

Beta 33.2917*** 23.8190** -6.4520 31.1316*** 21.3427** -8.0062

(3.07) (2.20) (-0.50) (2.88) (2.00) (-0.60)

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Leverage -1.8929*** -1.9193*** -0.9849*** -1.8664*** -1.8861*** -0.9409***

(-11.71) (-11.83) (-4.44) (-11.46) (-11.56) (-4.21)

TCE 0.1046*** 0.0607* 0.0993*** 0.0561*

(3.55) (1.94) (3.30) (1.74)

MES -6.4437*** -5.9391*** -6.0970*** -5.6696***

(-4.02) (-2.72) (-3.84) (-2.59)

IDIORISK -145.1415 -91.2912 -120.0952 -60.5015

(-1.10) (-0.80) (-0.92) (-0.53)

Obs. 638 534 638 534 638 534 638 534

Adj. R2

0.2292 0.0926 0.2363 0.1252 0.2209 0.0821 0.2272 0.1119

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Table 9 Abnormal short interest and stock returns (II)

This table presents two-stage least squares (2SLS) regression results for the short selling and financial

crisis returns. The empirical model is as follows.

Stage 1: Regress ,i pre crisis

SI

on the all control variables of the model:

, , 1

i pre crisis i t iSI Z

where , 1i t

Z

is a vector of control variables in the year 2004, including BHAR04, LnAssets04, BM04,

Leverage04, TCE04, Beta04, MES04, and IDIORISK04. .

Stage 2: Replace ,i pre crisis

SI

with the (3)i

ABSI derived from the 1st-stage into the regression

equation (1):

, crisis , 1,09 (3)

i i t ii pre crisisRE ZABSI

where RE09i,crisis represent stock returns for bank i in the financial crisis;

,,(3) i pre crisisi pre crisisi SISIABSI

, ,i pre crisisSI

is fitted value that derived from the 1st-stage

regression, and , 1i t

Z

is a vector of control variables in the year 2006. The variable definitions are in

the appendix. The t-statistics are in parentheses and are based on standard errors adjusted for

heteroskedasticity (White, 1980). The superscripts *, **, and *** denote significance at the 10%, 5%,

and 1% levels, respectively.

(1) (2) (3) (4)

RE09 RE09 RE09 RE09

Constant -40.1009*** -62.5638*** 10.0340 -10.0593

(-3.11) (-4.92) (0.85) (-0.36)

∆ABSI(3) -1.1360*** -1.3494*** -1.3702*** -1.5130***

(-4.05) (-4.62) (-4.78) (-5.22)

BHAR06 0.2687*** 0.2574*** 0.2568*** 0.2261***

(4.36) (4.11) (4.06) (3.19)

LnAssets -1.3276* -1.0921 -2.1722*** -1.8289**

(-1.71) (-1.26) (-2.67) (-2.01)

BM -0.2713 -1.0395* -0.2943 -0.5565

(-0.46) (-1.81) (-0.46) (-0.74)

Beta 46.2697*** 53.8245*** 12.9563

(2.98) (3.23) (0.41)

Leverage -1.1389*** -1.2378*** -0.9356***

(-4.32) (-4.57) (-2.81)

TCE 0.0589 0.0049

(1.50) (0.11)

MES -8.5299*** -6.8125*

(-4.34) (-1.93)

IDIORISK -157.4509 -82.8259

(-1.09) (-0.57)

Obs. 513 468 476 436

Adj. R2

0.1214 0.0816 0.1473 0.1197

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Table 10 Short selling, loan quality, and default risk in the 2007-2009 financial crisis

This table presents OLS regression results for short selling, loan quality, and default risk. The crisis period is from July 1, 2007, through December 31, 2009.

,crisis , , t 1

i i pre crisis i iNPL SI Z

,crisis , , t 1

i i pre crisis i iEDF SI Z

where ∆NPLi,crisis and ∆EDFi,crisis represent the change in the nonperforming loan ratio and the change in the expected default frequency, respectively, of bank i in the

financial crisis; ,i pre crisisSI

is the change in short interest for bank i in the pre-crisis period of the financial crisis;

, 1i tZ

is a vector of control variables for bank i in the year

2006. The variable definitions are in the appendix. The t-statistics are in parentheses and are based on standard errors adjusted for heteroskedasticity (White, 1980) and

industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%, and 1% levels, respectively.

(1) (2) (3) (4) (5) (6) (7) (8)

∆NPL ∆NPL ∆NPL ∆NPL ∆EDF ∆EDF ∆EDF ∆EDF

Constant 2.4155* 2.1603* 1.7114 0.1658 0.2444** 0.3745*** 0.0621 0.1810

(1.88) (1.65) (1.40) (0.08) (2.03) (3.18) (0.50) (1.11)

∆SI 0.1120* 0.0958* 0.1242** 0.1023* 0.0085*** 0.0087*** 0.0086*** 0.0094***

(1.91) (1.66) (2.08) (1.73) (3.38) (3.48) (3.38) (3.68)

BHAR06 -0.0458*** -0.0436*** -0.0461*** -0.0425*** -0.0023*** -0.0023*** -0.0022*** -0.0021***

(-3.57) (-3.57) (-3.59) (-3.44) (-3.48) (-3.58) (-3.41) (-3.13)

LnAssets -0.0488 -0.0557 0.0216 -0.0056 0.0181** 0.0150** 0.0167** 0.0174**

(-0.68) (-0.77) (0.26) (-0.07) (2.51) (2.04) (2.18) (2.25)

BM 0.0251 0.0272 0.0321 0.0320 -0.0041 0.0128 -0.0173 0.0038

(0.35) (0.41) (0.45) (0.47) (-0.07) (0.20) (-0.29) (0.06)

Beta 0.2235 0.4094 1.8663 -0.3237*** -0.3224*** -0.1468

(0.16) (0.30) (0.93) (-3.02) (-3.02) (-1.14)

Leverage 0.0002 0.0001 0.0081 0.0092*** 0.0086*** 0.0076***

(0.01) (0.00) (0.18) (3.39) (3.15) (2.81)

TCE 0.0316 0.0297 -0.0006 -0.0002

(0.96) (0.92) (-0.82) (-0.26)

MES 0.1868 0.3289 0.0565*** 0.0391*

(0.79) (1.01) (3.29) (1.75)

IDIORISK 9.4594 11.5440 -1.8568 -2.1097*

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(0.72) (0.79) (-1.57) (-1.74)

Obs. 354 354 354 354 423 407 423 407

Adj-R2 0.0789 0.0843 0.0786 0.0802 0.0881 0.0512 0.1026 0.0847

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Table 11 Short selling and financial crisis: Controlling banks’ risk-taking in pre-crisis period

This table presents OLS regression results for short selling and financial crisis returns by considering the risk-taking levels in the pre-crisis period. The crisis period is from

July 1, 2007, through December 31, 2009. Firms are sorted into three groups based on their level of risk-taking. We run the regression for each group:

,crisis , , t 109

i i pre crisis i iRE SI Z

where RE09i,crisis represents stock returns for bank i in the financial crisis; ,i pre crisis

SI

is the change in short interest for bank i in the pre-crisis period of the financial crisis;

, 1i tZ

is a vector of control variables for bank i in the year 2006. The variable definitions are in the appendix. The t-statistics are in parentheses and are based on the standard

errors adjusted for heteroskedasticity (White, 1980) and industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%, and 1%

levels, respectively.

Panel A: High risk-taking subsamples Panel B: Medium risk-taking subsamples Panel C: Low risk-taking subsamples

Leverage TCE Beta Leverage TCE Beta Leverage TCE Beta

(1)

RE09

(2)

RE09

(3)

RE09

(4)

RE09

(5)

RE09

(6)

RE09

(7)

RE09

(8)

RE09

(9)

RE09

Constant -27.7526 8.6891 -23.7053 5.8778 -6.6851 5.9402 -5.5207 -40.4838*** -110.7346***

(-1.61) (0.31) (-0.32) (0.47) (-0.22) (0.18) (-0.16) (-2.76) (-3.65)

∆SI -1.0625*** -1.5566*** -1.0560*** -1.2860*** -1.1223*** -2.0453* -1.3224 -0.7618 -1.8667

(-5.25) (-2.59) (-3.56) (-4.74) (-2.95) (-1.96) (-1.27) (-1.52) (-1.08)

BHAR06 0.0653 0.1289 0.2084*** 0.2643*** 0.2243* 0.1836* 0.1191*** 0.2085*** -0.0227

(0.34) (1.55) (6.57) (3.25) (1.79) (1.83) (4.84) (3.70) (-0.19)

LnAssets -2.8759** -0.4687 -0.1867 -0.5834 -2.3574* -0.4294 -0.7523 -0.2875 6.3255***

(-2.08) (-0.31) (-0.07) (-0.96) (-2.26) (-0.48) (-0.30) (-0.44) (3.05)

BM -0.2744 -2.2835 -1.3041* -1.9615 -0.5348 0.2852 -2.9819*** -0.0047 21.4483

(-0.82) (-2.13) (-1.99) (-0.90) (-1.01) (0.45) (-4.72) (-0.05) (2.27)

Beta 49.5262*** -13.3221 11.5529 -24.9839*** -9.8909 -24.3137 -7.7702 21.6491** 11.9305

(5.55) (-0.25) (0.37) (-5.75) (-0.67) (-0.48) (-0.75) (2.26) (1.02)

TCE -0.1382 0.0012 0.0401 -0.0429 3.0893** 0.0523 0.0498*** 1.1736 -0.0297

(-1.63) (0.03) (1.52) (-0.71) (3.73) (1.09) (5.09) (0.76) (-0.44)

Leverage -0.5734 -1.4529*** -0.7155 -1.2174 -0.6216 -1.0134*** 0.7360 -0.9948*** -1.7119***

(-0.92) (-5.13) (-1.28) (-1.50) (-1.00) (-5.46) (0.62) (-7.18) (-3.74)

MES -4.8976*** -9.1358** -6.8018* -9.6410*** -10.7605*** -6.0857 -8.6454** -2.8486* -1.9208

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(-5.78) (-2.02) (-1.82) (-9.98) (-5.90) (-1.28) (-2.18) (-1.94) (-0.67)

IDIORISK -310.0927** -207.5354** -376.0092 276.9265*** 37.9354 65.7739 -48.1068 133.2917 238.7698*

(-2.15) (-2.36) (-1.45) (3.32) (0.18) (0.21) (-0.24) (1.17) (1.68)

Obs. 163 151 175 235 217 212 126 156 137

Adj-R2 0.0540 0.1825 0.0829 0.0474 0.0506 0.1058 0.0765 0.0425 0.0678

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Table 12 Quantile regression: short selling and financial crisis returns

This table presents quantile regression results for short selling and financial crisis returns. The crisis

period is from July 1, 2007, through December 31, 2009.

,crisis , , t 109

i i pre crisis i iRE SI Z

where RE09i,crisis represents stock returns for bank i in the recent financial crisis; ,i pre crisisSI

is the

change in the short interest for bank i in the pre-crisis period of the financial crisis; , 1i t

Z

is a vector

of control variables for bank i in the year 2006. The variable definitions are in the appendix. The

t-statistics are in parentheses and are based on standard errors adjusted for heteroskedasticity (White,

1980) and industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at

the 10%, 5%, and 1% levels, respectively.

(1) (2) (3) (4) (5)

RE09 RE09 RE09 RE09 RE09

Quantile =0.2 Quantile =0.4 Quantile =0.6 Quantile =0.8 OLS

Constant -1.1086 -17.6811 -15.2842 -7.5817 -11.0910

(-0.04) (-0.99) (-0.83) (-0.35) (-0.70)

∆SI -1.3181*** -1.3726*** -0.5524* -0.5842 -1.1830***

(-3.49) (-4.86) (-1.86) (-1.46) (-4.04)

BHAR06 0.2641*** 0.1999*** 0.0997 0.1187 0.1816***

(2.65) (3.35) (1.62) (1.62) (3.11)

LnAssets -2.2869 0.2799 0.1256 0.0952 -0.9473

(-1.58) (0.30) (0.13) (0.09) (-1.15)

BM -0.4790 -0.6764 -0.3948 -0.4106 -0.5397

(-0.53) (-1.20) (-0.65) (-0.59) (-0.92)

Beta -2.3795 -5.7098 -2.7440 5.2273 4.6405

(-0.09) (-0.32) (-0.16) (0.26) (0.33)

TCE 0.0265 0.0260 0.0261 0.0162 0.0283

(0.39) (0.55) (0.56) (0.26) (0.81)

Leverage -1.7042*** -1.2696*** -0.8340*** -0.5313 -1.0100***

(-3.67) (-4.27) (-2.73) (-1.43) (-3.33)

MES -5.1348 -5.8992** -7.8874*** -6.2156** -6.6086***

(-1.19) (-2.25) (-2.96) (-2.06) (-2.96)

IDIORISK -27.4731 -93.5415 8.9415 -103.3147 -47.9235

(-0.12) (-0.72) (0.07) (-0.58) (-0.39)

Pseudo R2 0.0997 0.0759 0.0586 0.0429

Adj-R2 0.0979

Obs. 525 525 525 525 525

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Table 13 Stock borrowing costs and financial crisis returns

This table presents OLS regression results for stock borrowing costs and financial crisis returns. The

crisis period is from July 1, 2007, through December 31, 2009.

,crisis , , t 109

i i pre crisis i iRE COST Z

where RE09i,crisis represents the stock returns for bank i in the financial crisis; ,i pre crisisCOST

is the

change in stock borrowing costs for bank i in the pre-crisis period of the financial crisis; , 1i t

Z

is a

vector of control variables for bank i in the year 2006. The variable definitions are in the appendix. The

t-statistics are in parentheses and are based on standard errors adjusted for heteroskedasticity (White,

1980) and industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at

the 10%, 5%, and 1% levels, respectively.

(1) (2) (3) (4)

RE09 RE09 RE09 RE09

Constant -38.1137* -52.1133** -10.6749 -10.5196

(-1.78) (-2.46) (-0.60) (-0.35)

∆COST -4.3369* -5.4595** -4.1433* -4.6930**

(-1.90) (-2.34) (-1.80) (-2.05)

BHAR06 0.1798*** 0.2077*** 0.1600** 0.1613**

(2.61) (3.01) (2.39) (2.27)

LnAssets -1.2370 -0.7026 -0.9912 -0.9209

(-1.31) (-0.67) (-1.02) (-0.84)

BM 3.7104 -3.0361 3.6991 -4.2848

(0.60) (-0.40) (0.59) (-0.54)

Beta 40.5145** 40.9150** 2.9419

(2.26) (2.32) (0.11)

Leverage -0.9470*** -0.9168*** -0.7412*

(-3.10) (-2.79) (-1.94)

TCE 0.0548 0.0272

(1.40) (0.66)

MES -5.0405** -5.3054

(-2.52) (-1.54)

IDIORISK 144.6500 11.3416

(0.70) (0.06)

Obs. 366 329 366 329

Adj-R2 0.0844 0.0622 0.0836 0.0731

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Table 14 Robustness checks

This table presents the robustness checks for our main hypothesis. The first three columns present OLS regression results for the crisis returns and the change in short interest

by using different time period definitions. The next two columns present OLS regression results for RE09 and ∆SI in two subsamples based on bank size. The last two

columns present the OLS regression results for RE09 and ∆SI in two subsamples based on different industries: Commercial&Investment and Insurance.

,crisis , , t 1

i i pre crisis i iCrisis Return SI Z

where Crisis Returni,crisis represents the stock returns for bank i in the financial crisis; ,i pre crisisSI

is the change in short interest for bank i in the pre-crisis period of the

financial crisis; , 1i t

Z

is a vector of control variables for bank i in the year 2006. The variable definitions are in the appendix. The t-statistics are in parentheses and are based

on standard errors adjusted for heteroskedasticity (White, 1980) and industry clustering (Petersen, 2009). The superscripts *, **, and *** denote significance at the 10%, 5%,

and 1% levels, respectively.

(1) (2) (3) (4) (5) (6) (7)

RE08 RE09 RE08 RE09 RE09 RE09 RE09

Subsamples=

Small Banks

Subsamples=

Large Banks

Subsamples=

Commercial

&Investment

Subsamples=

Insurance

Constant -23.1243 -17.6000 -11.6565 25.6189 5.4330 -1.1371 27.1387

(-1.27) (-1.31) (-0.78) (0.76) (0.15) (-0.06) (0.57)

∆SI -1.0630*** -2.2441*** -1.2317*** -0.9357*** -3.2733***

(-3.21) (-3.06) (-3.76) (-2.82) (-4.77)

∆SI12m -1.2877*** -1.0466**

(-3.25) (-2.31)

BHAR06 0.0357 0.2104*** 0.0426 0.0683 0.2707***

0.1825*** 0.1672

(0.52) (3.78) (0.65) (0.82) (3.55) (2.74) (1.30)

LnAssets -2.1559** -0.8318 -1.5583* -2.8066 -3.3554**

-1.0433 -2.8115

(-2.30) (-1.08) (-1.73) (-1.11) (-2.13) (-0.95) (-1.45)

BM -1.8934*** -0.1413 -1.4053*** -1.5730 -0.3011 0.0665 -3.9131**

(-3.47) (-0.29) (-3.29) (-1.36) (-0.48) (0.14) (-2.58)

Beta 20.3376 15.4932 8.2962 -9.6702 19.9563 -7.7260 -3.1034

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(1.19) (1.59) (0.77) (-0.52) (0.76) (-0.48) (-0.06)

TCE 0.0047 0.0217 -0.0090 0.0881**

0.0088 -0.0511 0.0551

(0.09) (0.63) (-0.18) (2.14) (0.16) (-0.62) (1.02)

Leverage -0.5814* -1.1254*** -0.7920*** -1.1614**

-0.6897* -0.9389*** -1.4975**

(-1.75) (-4.15) (-2.64) (-2.59) (-1.79) (-2.82) (-2.25)

MES -10.6934*** -3.0167 -7.7052*** -5.9839* -5.6240 -7.2515*** -13.3807**

(-3.97) (-1.59) (-3.18) (-1.83) (-1.36) (-2.63) (-2.04)

IDIORISK 4.6237 -121.8329 -182.4181 -132.0328 139.9965 -19.8892 -98.6838

(0.03) (-1.06) (-1.45) (-0.77) (0.71) (-0.13) (-0.47)

Obs. 525 564 564 265 260 422 79

Adj-R2 0.0809 0.0984 0.0569 0.0838 0.1119 0.0648 0.2188