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1 Funding Liquidity and Equity Liquidity in the Subprime Crisis Period: Evidence from the Financial ETFs Market Junmao Chiu, Huimin Chung, Keng-Yu Ho _____________________________________________________________________ ABSTRACT Using financial ETFs from various financial industries, we set out in this study to explore the relationship between funding liquidity and equity liquidity. We measure funding liquidity from the interbank as well as the collateral markets and examine how funding liquidity affects bid-ask spread, market depth, and net buying volume during the subprime crisis period. Our results show that a higher degree of funding illiquidity leads to an increase in bid-ask spread and a decrease in market depth and net buying volume, indicating that equity liquidity tends to decrease. However, we find evidence of an adverse relationship between net buying volume and funding liquidity for the global ETFs. Based on the event study, we find that there is a significant net buying volume during the Bear Stearns event, but funding illiquidity decreases equity liquidity more significantly following the bankruptcy of Lehman Brothers. Overall, our study provides a better understanding of the role of the liquidity-supplier funding constraint during the subprime crisis period. Keywords: Equity Liquidity; Funding Liquidity; Collateral Market; Interbank Market; Subprime Crisis JEL Classification: G00; G01; G12 Junmao Chiu and Huimin Chung (the corresponding author) are both with the Graduate Institute of Finance, National Chiao Tung University, Taiwan, and Keng-Yu Ho is with the Department of Finance, National Taiwan University, Taiwan. Address for correspondence: Graduate Institute of Finance, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30050, Taiwan; Tel: +886-3-5712121, ext. 57075; Fax: +886-3-5733260; e-mail: [email protected].
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Funding liquidity and equity liquidity in the subprime crisis period: Evidence from the ETF market

May 15, 2023

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Page 1: Funding liquidity and equity liquidity in the subprime crisis period: Evidence from the ETF market

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Funding Liquidity and Equity Liquidity in the Subprime Crisis

Period: Evidence from the Financial ETFs Market

Junmao Chiu, Huimin Chung, Keng-Yu Ho∗

_____________________________________________________________________ ABSTRACT Using financial ETFs from various financial industries, we set out in this study to explore the relationship between funding liquidity and equity liquidity. We measure funding liquidity from the interbank as well as the collateral markets and examine how funding liquidity affects bid-ask spread, market depth, and net buying volume during the subprime crisis period. Our results show that a higher degree of funding illiquidity leads to an increase in bid-ask spread and a decrease in market depth and net buying volume, indicating that equity liquidity tends to decrease. However, we find evidence of an adverse relationship between net buying volume and funding liquidity for the global ETFs. Based on the event study, we find that there is a significant net buying volume during the Bear Stearns event, but funding illiquidity decreases equity liquidity more significantly following the bankruptcy of Lehman Brothers. Overall, our study provides a better understanding of the role of the liquidity-supplier funding constraint during the subprime crisis period. Keywords: Equity Liquidity; Funding Liquidity; Collateral Market; Interbank

Market; Subprime Crisis JEL Classification: G00; G01; G12

                                                       ∗  Junmao Chiu and Huimin Chung (the corresponding author) are both with the Graduate Institute of Finance, National Chiao Tung University, Taiwan, and Keng-Yu Ho is with the Department of Finance, National Taiwan University, Taiwan. Address for correspondence: Graduate Institute of Finance, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30050, Taiwan; Tel: +886-3-5712121, ext. 57075; Fax: +886-3-5733260; e-mail: [email protected].

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1. INTRODUCTION

In recent research, the funding constraint of liquidity suppliers has received much

attention. When securities prices decline below their fundamental values, the financial

intermediaries, market makers, and arbitrageurs could face funding constraint due to

the risk of higher margins and the losses in the existing positions. They thus are

withdrawn from providing liquidity and could become short-term liquidity demanders

instead. They could also rush to liquidate their position following negative shocks,

causing equity illiquidity and price to decline further. In this paper, we explore

empirically the relationship between funding and equity liquidity in the subprime crisis

period.

The liquidity crisis began in early 2007, when there was an increase in subprime

mortgage defaults. The subprime crisis caused the value of subprime mortgage related

assets and securities held by financial intermediaries to decline. In addition, the

funding problem for financial intermediaries led them to seek financing sources from

short-term collateral market (asset-backed commercial paper and Repo). As investors

decided not to reinvest their proceeds as the collateral matured, the liquidity of the

collateral market dried up, which made the financial intermediaries difficult to roll

over their short-term liabilities.

Although many financial intermediaries (conduits and SIVs) have been set up

with back-up liquidity lines from banks, during the subprime crisis, banks were

unwilling to lend to each other except for very short-term maturities, such as overnight

to one-week, without knowing more about the risk involved and their own imminent

liquidity needs. Questions about counterparty insolvency have also kept interbank

markets illiquid. When hedge funds and financial intermediations found it difficult to

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roll over their short-term liabilities from collateral as well as interbank markets, they

began to sell their existing portfolios to meet funding constraint.1 As a result, equity

liquidity decreased further.

We now discuss previous studies regarding the relationship between the funding

constraint and market liquidity. First, many studies examine how the funding

constraint affects the liquidity providing by arbitrageurs and market makers. For the

theoretical foundation, Kyle and Xiong (2001) argue that arbitrage provides liquidity

into the market when the price deviates from fundament value. If the arbitrageurs

exhibit decreasing risk aversion or face funding constraints, they may instead become

liquidity demanders as they liquidate their position in the risky assets. In addition,

liquidity provision from arbitrage could benefits all investors (Gromb and Vayanos,

2002). Empirically, Mitchell, Pedersen, and Pulvino (2007) examine whether

convertible and merger arbitrageurs provide immediate liquidity. They find that when

the external capital shocks force liquidity providers to become liquidity demanders, it

can remain for several months before recovering back to equilibrium. Using

market-maker balance sheet and income statement information, Comerton-Forde,

Hendershott, Jones, Moulton, and Seasholes (2010) find that when specialists have

larger position or loss money on their inventories, aggregate market-level and

specialist firm-level spread are significantly wider in the days that follow. Their results

suggest liquidity suppliers’ financing constraints matter.

Second, other studies argue that the funding constraint plays an important role in

how bank runs and risk management affect market liquidity. Bernardo and Welch

(2004) extend the Diamond and Dybvig (1983) model of bank runs into the financial

system. They find that liquidity runs and crisis are caused by the fear of future

                                                       1 See Caruana and Kodres (2008).

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liquidity shock and margin constraints. Since investors fear possible liquidation in the

future, they prefer to sell their shares today. Furthermore, Garleanu and Pedersen

(2007) link the risk management to liquidity. They propose that if market volatility

increases, or if the agent faces funding constraint and risk-bearing capacity reduction,

risk management would be tighter and would induce to market illiquidity.

Third, recent studies use the funding liquidity to measure liquidity suppliers’

funding situation. Brunnermeier and Pedersen (2009) provide a model linking market

and funding liquidity and argue that liquidity spirals triggered by a large liquidity

shock result in larger margin requirements and losses on existing positions. This

restricts dealers further from providing equity liquidity. Hameed, Kang, and

Viswanathan (2010) explore the relationship between market decline and liquidity

dry-up as the indication of capital constraints in the marketplace. The results show that

market liquidity reduction following market decline is related to the tightness in

funding liquidity. Using multivariate GARCH model, Frank, Gonzalez-Hermosillo,

and Hesse (2008) examine the liquidity spillovers from 2006 to 2007. They find that

the relationship between market and funding liquidity is increasingly strong in the U.S.

market. In particular, the funding illiquidity shocks in the U.S. asset-backed

commercial paper (ABCP) market were contagion to other advanced countries.

Our study makes a number of contributions to the extant literature. We use the

funding costs in the interbank and collateral markets to proxy liquidity suppliers’

funding situation. The interbank market could measure the lending channel hoarding

and the collateral market could measure the borrowers’ balance sheet deterioration. We

then examine how funding liquidity affect bid-ask spread, market depth, and net

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buying volume during subprime crisis period in the financial ETF market.2 We focus

on the financial ETF markets, because the financial industry is the most directly

affected industry during the subprime crisis. Furthermore, we examine whether there

are any systematic differences relationship between equity and funding liquidity based

on two important events, Bear Stearns and Lehman Brothers, in the subprime crisis

period.

We use ETF data for the following reasons. First, ETFs) are usually more liquid

and are more suitable for our research question, since funding problem could lead

investors to liquidate more liquid assets from their portfolio first. Second, using

financial ETFs on various financial subgroups, we could examine whether different

types of financial ETFs would have different relationship between equity and funding

liquidity.

Finally, previous studies have generally used daily or lower frequency data. The

use of lower frequency data may not be able to detect the interaction relation between

equity and funding liquidity if it occurs for relatively short time periods and is masked

by the aggregate nature of the data. The higher frequency data used in our study allows

us to draw more precise inferences.

Our empirical findings are summarized as follows. First, our findings show that a

higher funding illiquidity leads to an increase in bid-ask spread and decrease in market

depth, indicating that equity liquidity tend to decrease. The results provide support to the

story of liquidity supplier’s funding constraint during the subprime crisis period as well

as to the theory of Brunnermeier and Pedersen (2009).

Second, we find that when the funding liquidity decreases, investors would place

more sell orders, leading to a decrease in net buying volume. However, we find an                                                        2 We divide the financial ETFs into 5 groups (broad financial sector, bank, broker and asset management, insurance, and global).

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adverse result for the global ETFs. We suggest that since higher funding illiquidity

could increase volatility, investors would thus choose to invest in different countries in

order to diversify their risk, leading to an increase in net buying volume for the global

ETFs.

Third, for the Bear Stearns and Lehman Brothers events, we find that there is a

significant net buying volume in the Bear Stearns event since investors tend to believe

that the Bear Stearns was treated as “too big to fail” by the Federal Reserve. However, we

find that funding illiquidity decreases equity liquidity more significantly than other event

days after the Lehman Brothers bankruptcy.

The remainder of this paper is organized as follows. Section 2 describes the data

and research methodology used in this study and develops our testing hypotheses.

Section 3 analyzes the empirical results. Finally, the conclusions are drawn in Section 4.

2. DATA SOURCE AND RESEARCH METHODOLOGY

2.1 Data Source and Sample Selection

In this study, we include 14 financial ETFs whose average daily trading volumes

are must higher than 11,000 units and divide them into 5 groups.3 In the broad U.S.

financial sector group, the underlying index includes broad financial business in U.S.,

such as commercial and investment banking, capital markets, diversified financial

services, insurance, and real estate. In the banking group, the underlying index

includes national money center banks and regional banking institutions listed on the

U.S. stock markets. In the broker and asset management group, the underlying index

includes securities brokers and dealers, online brokers, asset managers, and securities

or commodities exchanges. The insurance industry includes personal and commercial

                                                       3 Our research samples are detailed in the Appendix 1.

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lines, property/casualty, life insurance, reinsurance, brokerage, and financial guarantee.

Finally, for the global group, the underlying index includes major financial companies

in the markets outside of the U.S. and Canada. In addition, we exclude days with no

trading volume data from our research samples.

We then employ intraday data on ETFs taken from the NYSE Trade and Quote

(TAQ) database, using the daily abstract trading and quoting data from 9:30 am to 4:00

pm. We follow the previous literature on controlling different trading mechanism and

include all the data in AMEX, NYSE, NYSE Arca, NASDAQ, NASDAQ (ADF), and

National Stock exchanges. The period under examination is the post-decimalization

period which runs from 1 January, 2007 to 31 December, 2008; this period contains

the sub-prime mortgage crisis period.

Following Chung (2006), we eliminate all quotes falling into the following three

conditions: (i) either the bid or the ask price is equal to or less than zero, (ii) either the

bid or the ask depth is equal to or less than zero, and (iii) either the price or volume is

equal to or less than zero. Furthermore, we follow Huang and Stoll (1996) who delete

the quoting and trading data with the following characteristics: (i) all quotes with a

negative bid-ask spread or a bid-ask spread of greater than U.S. $4, (ii) all trades and

quotes which are either before-the-open or after-the close, (iii) all Pt trade prices,

where |Pt-Pt-1 / Pt-1|>0.1, (iv) all at ask quotes, where |at-at-1 / at-1|>0.1, and (v) all

bt bid quotes, where |bt-bt-1 / bt-1|>0.1.

2.2 Measure of Funding Liquidity

In this study, we explore funding liquidity from borrowers’ balance sheets

deterioration and lending channel hoarding. According to Brunnermier (2009), we use

the collateral market to measure borrowers’ balance sheets deterioration and the

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interbank market to measure lending channel hoarding. We then employ daily funding

variable taken from the Bloomberg database. In the interbank market, we use Libor to

measure the financial intermediaries’ capital constraints. Libor is modeled by the

spread between 3-month U.S. interbank Libor rate and the overnight index swap (OIS).

In the collateral markets, we use ABCP and Repo to capture hedge fund and market

makers’ capital constraint. ABCP is measured by the spread between 3-month ABCP

rates and the overnight index swap, and Repo is calculated as the Mortgage Repo rate

minus Government Repo rate (Adrian and Shin, 2008; Brunnermier, 2009).

2.3 Measure of Equity Liquidity

2.3.1 Bid-Ask Spread

In this study, we use percentage spread as the illiquidity variable. The formula for

percentage spread is [(Askt – Bidt) / [(Askt +

Bidt) / 2], where Askt and Bidt are the

respective intraday ask and bid prices at time t. We then calculate the average of all the

percentage spreads in one day. In order to control for the factors that might be important

in determining the spread, following Copeland and Galai (1983) and Stoll (2000), we

investigate the following regression model:

, (1a)

, (1b)

, (1c)

where SPit is the daily average of the percentage spread for ETF i at day t, RETit is the

daily return for ETF i at day t, VOLit is the daily Parkinson volatility for ETF i at day t,

Vit is the daily trading volume for ETF i at day t, and the dummy variable, Dshort, is

ittshortitititit ABCPDLogVVOLRETSP εβββββα ++×++++= 54321

ittshortitititit RepoDLogVVOLRETSP εβββββα ++×++++= 54321

ittshortitititit LiborDLogVVOLRETSP εβββββα ++×++++= 54321

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equal to 1 from 17 September, 2008 to 17 October, 2008 since the U.S. Securities and

Exchange Commission (SEC) prohibited short sales of financial companies’ stocks.

Libor is the spread between 3-month U.S. interbank Libor rate and the overnight index

swap on day t; ABCP is the spread between 3-month ABCP rates and the overnight

index swap on day t; Repo is the spread between Mortgage Repo rate minus

Government Repo rate on day t.

We argue that when the financing cost of investor increases (Libor, ABCP and

Repo), the arbitrageurs would provide less liquidity and thus the market volatility

increases. It would result in equity liquidity decrease and bid-ask spread increase. We

therefore hypothesize that lower funding liquidity leads to larger bid-ask spread and

lower equity liquidity.

2.3.2 Market Depth

Equity liquidity has both a price dimension (the spread) and a quantity dimension

(the depth). Lee and Ready (1993) argue that liquidity provider are sensitive to change in

information asymmetry risk and use both spread and depth to actively manage this risk.

Therefore, following Brockman and Chung (1999), which argue that dollar depth

provides a more relevant measure of liquidity, we define depth as the number of shares

at the best bid and ask price multiplied by their respective prices and cumulate each

depth on date t to be our depth variable. This (dollar) depth measure is a more relevant

measure of liquidity from the investor’s perspective than the alternative measure based

solely on the available number of shares. By following Ahn, Bae, and Chan (2001), in

order to control for the factors that may be of importance in determining market depth,

we then examine the relationship between the market depth and funding liquidity in the

following regression model:

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, (2a)

, (2b)

, (2c)

where Depthit is the daily average of the market depth for ETF i at day t, and Ntradeit

is the daily number of trade for ETF i at day t.4

Huge loss raises the investors’ funding problem from the subprime sector, and

housing prices fell in the early 2007. In order to profit their portfolio, investor chooses

to increase market orders and reduce limit orders, indicating market depth reduction.

In addition, many studies have shown that the two dimensions of the liquidity pattern

exhibit a negative association, i.e., a wider (narrower) the spread, the smaller (larger)

the depth.5 Based on the previous argument, we suggest that lower funding liquidity

causes decreasing market depth.

2.3.3 Net Buying Volume

We then go on to investigate whether the funding illiquidity has impact on the net

buying volume. Net buying volume could measure the net buying pressure from the

market and provides us an opportunity to examine how funding liquidity affects investor

trading behavior. As for the calculation of net buying volume, we use the algorithm

proposed by Lee and Ready (1991) to distinguish whether the transactions are buyer or

seller initiated. The algorithm classifies a trade as a buyer (seller) initiated trade if the

traded price is higher (lower) than the mid-point of the bid and ask price.

We assign a value of +1 (–1), which represents whether each transaction is a

buyer (seller) initiated trade, multiply the assigned value by trading volume, and sum

                                                       4 The remaining control variables are the same as those in Equation (1). 5 See Lee, Mucklow, and Ready (1993), Ahn and Cheung (1999), and Brockman and Chung (1999)

ittshortititit ABCPDNtradeVOLDepth εββββα ++×+++= 4321

ittshortititit RepoDNtradeVOLDepth εββββα ++×+++= 4321

ittshortititit LiborDNtradeVOLDepth εββββα ++×+++= 4321

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up all the multiplying results that occur each day. By doing so, we could obtain net

buying volume each day. In addition, we also add the volume and volatility variables,

following Bailey, Chan, and Chung (2000) and Chung (2006), as the control variable in

our regression model. We explore the relationship between net buying volume and

funding liquidity in the following model:

, (3a)

, (3b)

, (3c)

where OIBNUMit is the net buying volume variable, which is the number of

buyer-initiated trades less the number of seller-initiated trades in ETF i at day t.6

When the financing cost of investor increases, the arbitrageurs provide less

liquidity and thus make market more volatile, the funding problems for investors would

cause them to sell off their securities holdings or buy fewer stocks. We therefore argue

that lower funding liquidity causes net buying volume reduction.

2.4. Event Study

In order to examine how the funding liquidity affects equity liquidity in the important

events of subprime crisis period, we apply a traditional event study to explore whether

there are any systematic differences for those major events. We identify the

relationship between equity and funding liquidity based on the important event days by

investigating the following regression models:

, (4a)

                                                       6 The remaining control variables are the same as those in Equation (1).

ittshortitititit ABCPDLogVVOLRetOIBNUM εβββββα ++×++++= 54321

ittshortitititit RepoDLogVVOLRetOIBNUM εβββββα ++×++++= 54321

itj

jtj

tshortitititit

DLibor

LiborDLogVVOLLogPSP

εβ

βββββα

++×++++=

∑=

5

16

54321

ittshortitititit LiborDLogVVOLRetOIBNUM εβββββα ++×++++= 54321

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, (4b)

, (4c)

where Dj is 1 for event j, and 0 otherwise (Table 1 lists the dates of each event).7 Event

dates are defined as the announcement of an event in the Wall Street Journal. We focus on

the two major events, Bear Stearns and Lehman Brothers. We then could explore and

compare how the Bear Stearns event and Lehman Brothers event affect equity liquidity.

Since the Bear Stearns and Lehman Brothers are both financial intermediations, their event

could affect lending channel hoarding more directly. We thus only show how interbank

market affects equity liquidity in this study.

In early March, 2008, rumors of Bear Stearns’ eminent demise began circulating. On

March 16, J.P. Morgan announces that it has acquired Bear Stearns about $236 million. In

order to compare whether there are any systematic differences in the influence of the

before and after Bear Stearns event, we set D1 from 6 March, 2008 to 14 March, 2008

and D2 from 17 March, 2008 to 25 March, 2008. In addition, on September 15, 2008,

Lehman Brothers filed for Chapter 11 bankruptcy protection. We therefore set D3 from 04

September 2008 to 12 September, 2008 and D4 from 15 September, 2008 to 23

September, 2008 for Lehman Brothers event. According to Veronesi and Zingales

(2010), we consider a post Lehman bailout event. We therefore set D5 from 14 October,

2008 to 22 October, 2008. Therefore, Libor×D1 measures funding liquidity before Bear

Stearns event; Libor×D2 measures funding liquidity after Bear Stearns event.

Libor×D3 measures funding liquidity before Lehman Brothers bankruptcy, Libor×D4

measures funding liquidity after Lehman Brothers bankruptcy, and Libor×D5 measures

funding liquidity after Lehman Brothers bankruptcy bailout

                                                       7 The remaining control variables are the same as those in Equation (1).

itj

jtj

tshortititit

DLibor

LiborDNtradeVOLDepth

εβ

ββββα

++×+++=

∑=

5

15

4321

itj

jtjt

shortitititit

DLiborLibor

DLogVVOLRetOIBNUM

εββ

ββββα

+×+

+×++++=

∑=

5

165

4321

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<Table 1 is inserted about here>

Finally, for our empirical models, we use panel data regression framework to

investigate the effect of funding liquidity on equity liquidity. We perform the Hausman

test and for all of our empirical models, and find no misspecification when the

random-effect model is used. The random-effect model is thus chosen in the estimation

for all our empirical models. In addition, we also follow Wansbeek and Kapteyn

(1989), which is used to handle both balanced and unbalanced data.8

3. EMPIRICAL RESULTS

3.1 Descriptive Statistics

Table 2 describes the characteristics of our research samples. The standard deviation

SP, Depth, and funding liquidity (Libor, ABCP, and Repo) in our samples are higher,

which suggests a highly volatile movement in equity and funding liquidity during

subprime crisis period. In addition, the average and median return are both negative,

intuitively indicating that our sample period covers a down market and have more

bearish expectation.

As shown in Table 3, the correlation between SP and Depth is significantly

negative, which is consistent with Lee and Ready (1993). We also find that there is a

significantly negative correlation between SP and OIBNUM and a significantly

positive correlation between Depth and OIBNUM. The results indicate that when buy

initiated trades are more than sell initiated trades, the equity liquidity could increase.

The correlation between SP and funding liquidity variables (Libor, ABCP, and Repo)

are all significantly positive. Furthermore, Depth and funding liquidity variables are all

negatively correlated for our research samples. These results are consistent with our

                                                       8 See SAS PANEL procedure.

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hypotheses that funding illiquidity is associated with higher bid-ask spread and lower

market depth.

Figure 1 shows the average level of daily funding liquidity variables (Libor,

ABCP, and Repo) from 1 January, 2007 to 31 December, 2008. The figure shows that

our funding liquidity variables often co-move together, especially for Libor and ABCP.

Figure 1 also suggests that funding liquidity variables start to increase in August 2007.

It is consistent with the fact that investors experienced remarkable volatility and huge

losses in July, 2007, and they could begin to have funding problem from August, 2007.

In November, 2007, many banks experienced additional and larger losses, leading to a

subsequent increase in the funding liquidity variables. Furthermore, the important

events during the subprime crisis period, the Bear Stearns and Lehman Brothers events

occurring in March and September, 2008, both have significantly impacts on funding

liquidity variables. Overall, our results are similar to Brunnermier (2009) and Melvin

and Taylor (2009) and suggest that our funding liquidity variables (Libor, ABCP and

Repo) could clearly reflect funding liquidity situation.

<Table 2 is inserted about here>

<Table 3 is inserted about here>

<Figure 1 is inserted about here>

3.2. Equity and Funding Liquidity

3.2.1. Bid-Ask Spread and Funding Liquidity

We begin the empirical analysis by providing a deeper understanding of whether

funding liquidity affect the equity liquidity during the subprime crisis period. Using

Equation (1), we first examine how funding liquidity could affect bid-ask spread. As

we observe from Table 4, an increase in VOL leads to an increase in SP, demonstrating

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that higher market risk could increase bid-ask spread, thereby reducing market

liquidity.9 We also find that there is a significant positive relationship between Ret and

SP. Furthermore, LogV has a significantly negative impact on SP except for the

insurance group, indicating a positive relationship between equity liquidity and trading

volume.

Most of our findings suggest that the short-sale constraint dummy variable, Ds,

has a significantly positive impact on equity liquidity. It suggests that since investor

cannot short sell financial companies’ stocks during this period, they would be

unwilling to bear such short-term excess risk and could choose to buy fewer stocks.

These results could increase bid-ask spread and decrease equity liquidity. In contrast,

we find the negative relationship between short-sale constraint dummy variable and

equity liquidity in the global group. This result indicates that investor could choose to

trade global ETFs during the short-sale constraint period; thus equity liquidity of

global ETFs increases in that period.

<Table 4 is inserted about here>

Most importantly, we now move to the discussion of the three funding liquidity

variables: Libor, ABCP, and Repo. We find that an increase in funding liquidity

variables (Libor, ABCP and Repo) leads to an increase in SP. These results provide

solid evidence that lower funding liquidity increases bid-ask spread and decreases

equity liquidity. When investor faces the huge losses, funding problem occurs. The

increase in financing cost of the investors leads to a decrease in funding liquidity. Thus,

the arbitrageurs provide less liquidity, and the market becomes more volatile. It would

be resulting in equity liquidity decrease and bid-ask spread increase.

In addition, our results show evidence that Libor has a slightly more significantly                                                        9 Our results provide support for Copeland and Galai (1983), Amihud and Mendelson (1987), and McInish and Wood (1992).

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impact on equity liquidity of banking group than other funding liquidity variables. The

global group is more sensitivity than other groups, since their operation and service

might be different from those in the U.S.

3.2.2. Market Depth and Funding Liquidity

In this section, we examine the relationship between market depth and funding

liquidity. Since Lee and Ready (1993) argue that any discussion of liquidity must

include both spread and depth, we therefore examine how the funding liquidity affects

market depth.10 The results in Table 5 show that we find that an increase in VOL could

have a negative impact on Depth. The market risk is high during the periods of high

volatility. The limit order traders further could choose to reduce liquidity, either by

shifting depth away from the quotes or reducing the depth provided at a given price.11

We therefore find the negative relationship between market depth and volatility.

In addition, we also find that there is the significantly negative relationship between

Ntrade and Depth. The theoretical models suggest different stories on the relationship

between trading volume and depth. On one hand, since transaction consumes market

liquidity, there is the negative relationship between depth and volume (Lee, Mucklow,

and ready, 1993). On the other hand, investor could place more limit orders when orders

have a higher probability of execution; an increase in trading volume thus could increase

limit order and market depth (Chung, Van Ness, and Van Ness, 1999).12 Most of our

results support Lee, Mucklow, and ready (1993).

<Table 5 is inserted about here>

Finally, as we observe from Table 5, an increase in funding liquidity variables

(Libor, ABCP and Repo) leads to the reduction of Depth. Since the subprime crisis                                                        10 They find that volume shocks cause spread to widen and depth to decrease. 11 Our results suggest to the opinion of Goldstein and Kavajecz (2004). 12 Our results are similar to those of Ahn, Bae, and Chan (2001).

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makes the housing price to fall in early 2007, investors have huge losses in their

portfolios, and they tend to liquidate their portfolios in the market. This would cause the

financing cost of the investors to rise and funding liquidity to decrease. In order to

liquidate their portfolios, investors may choose to increase market orders and reduce

limit orders. The limit order traders further could choose to reduce liquidity providing

and market depth.

Overall, as we can observe from Tables 4 and 5, funding illiquidity could increase

bid-ask spread and decrease market depth, indicating the lower funding liquidity causes

the equity liquidity reduction. Our results provide support to our hypotheses and the

theoretical model of Brunnermeier and Pedersen (2009).

3.3. Net Buying Volume and Funding Liquidity

We now examine whether funding liquidity could affect investor trading behavior. By

following Equation (3), we examine the relationship between net buying volume and

funding liquidity variables (Libor, ABCP and Repo). As shown in Table 6, an increase

in Ret and LogV lead to an increase in net buying volume. The results indicate that

investors tend to place buy orders in the market when the daily return and trading

volume on ETFs are higher.

Most of our results show that there is a negative relationship between OIBNUM

and funding liquidity variables (Libor, ABCP and Repo), especially for banking and

insurance groups. These results indicate that when the funding is illiquid, investor

could choose to participate by placing more sell orders or buy fewer stocks, leading to

a decrease in net buying volume. These results therefore support our hypothesis,

indicating the lower funding liquidity causing the net buying volume reduction.

<Table 6 is inserted about here>

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Furthermore, we have also found an interesting result that the funding liquidity

variables (Libor, ABCP and Repo) have a positively significantly impact on net buying

volume in the global group. Since investor is loss averse, they have very limited

capacity for arbitrage. Investors would choose to diverse their risk by investing in the

different countries when investors face the huge losses and highly extreme movement

during the subprime crisis period. Investors then could place more buy orders for the

global ETFs, leading to the increase in net buying volume and order imbalance. We

therefore find the significantly positive relationship between net buying volume and

funding liquidity.

3.4. Event Study

In this section, we examine how funding liquidity affect equity liquidity based on the

two important events, Bear Stearns and Lehman Brothers, during the subprime crisis

period. According to the Equation (4), we use the event study approach to explore whether

there are any systematic different relationship between equity and funding liquidity

(Libor) in these events. We also use the other two funding liquidity variables (ABCP and

Repo) to examine the relationship with equity liquidity based on the event days, and the

results are similar with those based on Libor.13 As shown in Table 7, the Libor are

positively significant for SP, and negatively significant for Depth, indicating the lower

funding liquidity leading to the equity liquidity reduction. These results also provide

support for our hypotheses.

In the Bear Stearns event, since the Federal Reserve had taken many actions to

prevent it from bankruptcy, investors tend to believe that the Bear Stearns was treated as

“too big to fail” by the Federal Reserve. Therefore, there is a positively significant

                                                       13 The results are not reported here due to brevity; however, they are available upon request.

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relationship between OIBNUM and Libor×D1. In addition, we find that Libor×D1 are

positively significant for SP and negatively insignificant for Depth. In order to decrease

trading cost, investors could choose to place more limit orders, and this could be the

reason why market depth does not significantly decrease (Foucault, 1999).

<Table 7 is inserted about here>

In the Lehman Brothers event, since investors also believe that the Lehman Brothers

will be treated as “too big to fail”, just like the Bear Stearns event. The empirical results

find that Libor×D3 are not significant for equity liquidity (SP and Depth) and OIBNUM

before the Lehman Brothers event. However, the Lehman Brothers was not so fortunate; it

finally announced bankruptcy in the morning of 15 September, 2008. After the Lehman

Brothers bankruptcy, we find that Libor×D4 decreases significantly in equity liquidity (SP

increase and Depth reduction). We also find that the relationship between net buying

volume and Libor×D4 turns to be negative, although it is insignificant.

The funding illiquidity decreases equity liquidity more significantly after the Lehman

Brothers event, since investors falsely expected that the Federal Reserve would step in to

avoid any defaults. Our earlier results indicate that when investors have more significant

huge losses after the Lehman Brothers bankruptcy, the positive relationship between

equity and funding liquidity is more significant. Finally, in the post Lehman Brothers

bailout event, we find that there is a significantly negative relationship between Libor×D5

and Depth. These results indicate that after the U.S. governance bailout plan, investors

may become more confident and choose to place more limit order and buy more stocks in

the market. However, investors could still feel uncertain towards the future, and it would

allow more time on governance funding infusion in the market. Therefore, the bid-ask

spread does not yet decrease.

3.5. Robustness Check

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In this study, we also use other variables, such as the Ted ratio (the spread between

3-month U.S. Treasury bills and Eurodollar Libor rate) as well as the spread between

3-month U.S. Treasury bills and overnight index swap, to measure funding liquidity.

We then examine how the funding liquidity affects equity liquidity, and the results are

similar to our findings reported earlier.

In terms of research methodology, we also apply the Park (1967) method to

estimate a pooled cross-sectional time series regression that corrects for

heteroscedasticity and first order autocorrelation. Since Kim and Ogden (1996) find

higher order serial correlation for the spread, Parks (1967) provide consistent and

efficient estimates of the parameters when disturbances follow a first order auto

regressive process, AR(1), with contemporaneous correlation.14 Furthermore, given

perfect clustering of observations in our sample, the OLS estimates are not consistent

or efficient because the error terms are not homoscedastic, independent and identically

distributed in the cross section. Since the Park method requires balance panel data, we

therefore delete date on the trading days of 4 April, 2007, 17 April, 2007, and 7 May,

2007. The results of Park method are similar to the reported random-effect model

results and they are not reported here due to brevity. However, those results are

available upon request.

4. CONCLUSIONS

This study explores the relationship between funding liquidity and equity liquidity. We

use three different funding liquidity variables (Libor, ABCP, and Repo) to proxy

interbank and collateral market liquidity. We use intraday data to measure equity

liquidity from the 14 financial ETFs and divide our research samples into five groups

                                                       14 See Greene (2008) and Chordia and Subrahmanyam (2004).

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(Financial Sector, Banking, Broker and Asset Management, Insurance, and Global).

We then investigate how funding liquidity affect equity liquidity during the subprime

crisis period.

We observe that when funding illiquidity increases during the subprime crisis

period, the market depth decreases and the bid-ask spread increases, indicating that

equity liquidity tends to decrease. Our results could provide support for the story of

liquidity supplier’s funding constraint during subprime crisis period, that a large

liquidity shock triggers the huge loss for investor, resulting in larger margin

requirements and losses on existing positions. Their model suggests that the above

situation leads to the funding problem and higher equity volatility and restricts dealer

further from providing equity liquidity. The relationship between funding liquidity and

bid-ask spread is more sensitive in the global group, since their operation and service

could be different from the U.S. financial industry.

Using the net buying volume to measure investor trading behavior, we find that

when the funding liquidity decreases, investors choose to participate by placing more

sell orders or fewer buy orders, leading to a decrease in net buying volume. However,

we find that funding illiquidity increases net buying volume for the global ETFs. The

reason might be that investors choose to invest in the different countries via global

ETFs in order to diverse their risk.

In the event study, we explore whether there are any systematic different

relationship between equity and funding liquidity in the Bear Stearns and Lehman

Brothers events. We find that there is a significantly net buying volume in the Bear

Stearns event since investor tend to believe that the Bear Stearns was treated as “too big to

fail” by the Federal Reserve. However, the Lehman Brothers was not so fortunate; our

results show that funding illiquidity decreases equity liquidity more significantly than

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other event days after the Lehman Brothers bankruptcy. Overall, our results could provide

a better understanding on how funding liquidity dry-up after large price drop would

affect the equity liquidity in the financial ETFs market.

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Table 1 Events Date and Description Event Dummy Event date Event description D1 2008/3/06-2008/3/14

EVENT 1 2008/3/16 J.P. Morgan announces it has acquired Bear Stearns for $2 per share, or about $236 million.

D2 2008/3/17-2008/3/25

D3 2008/9/4-2008/9/12

EVENT 2 2008/9/15 Lehman had to declare bankruptcy.

D4 2008/9/15-2008/9/23

EVENT 3 2008/10/13

US government announces a plan which included a $125 billion preferred equity infusion in the nine largest U.S.commercial banks joint by a three-year government guarantee on new unsecured bank debt issues.

D5 2008/10/14-2008/10/22 Table 2 Descriptive Statistics

Variables Mean Median S.D.

Panel A: Dependent and Control Variables

SP 0.0028 0.0013 0.0044

Depth 69,343.1900 3,480.4000 10,353.7700

OIBNUM 38,124.5900 28,000.0000 593,459.0800

Ret -0.0018 -0.0011 0.0307

LogV 12.4577 12.4180 2.6846

VOL 0.0188 0.0140 0.0178

Panel B: Funding Liquidity Variables

Libor 0.7133 0.6551 0.6826

ABCP 0.8682 0.8325 0.7777

Repo 0.3985 0.3000 0.3560Note: The descriptive statistics are provided for the dependent and control variables in Panel A, the funding liquidity variables in Panel B, comprising of Libor, ABCP, and Repo. The data covers the period from 1 January, 2007 to 31 December, 2008.

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Table 3 Correlation Statistic

Variables SP Depth OIBNUM Libor ABCP Repo

SP 1.000

Depth -0.2225*** 1.000

OIBNUM -0.0296*** 0.0974*** 1.000

Libor 0.2363*** -0.1705*** -0.0038 1.000

ABCP 0.2261*** -0.1683*** 0.0047 0.9778*** 1.000

Repo 0.1787*** -0.1382*** 0.0126 0.7191*** 0.7606*** 1.000 Note: The correlation statistics are provided for the empirical variables, comprising of SP, Depth, OIBNUM, Libor, ABCP, and Repo. The data covers the period from 1 January, 2007 to 31 December, 2008. We also use T-test to examine whether the correlation coefficient is significantly different from zero. ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively.

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Table 4 Bid-Ask Spread and Funding Liquidity Variables Funding Ret VOL LogV Dshort C R2 Panel A: Libor Full Sample 0.101 (12.25) *** 0.226 (1.98) ** 2.351 (7.99) *** -0.017 (-9.05) *** 0.133 (6.31) *** 0.364 (4.17) *** 0.122

Financial Sector 0.023 (3.63) *** 0.020 (1.24) 0.420 (6.75) *** -0.007 (-6.51) *** 0.002 (0.18) 0.154 (9.75) *** 0.057

Banking 0.039 (2.38) ** -0.024 (-0.50) 0.588 (3.61) *** -0.017 (-5.61) *** -0.022 (-0.65) 0.297 (7.59) *** 0.050

Broker 0.081 (13.35) *** 0.151 (2.96) *** 0.703 (4.26) *** -0.006 (-2.98) *** 0.005 (0.31) 0.136 (5.35) *** 0.327

Insurance 0.233 (10.29) *** 0.953 (2.73) *** 1.198 (1.33) 0.029 (3.32) *** 0.672 (11.49) *** -0.169 (-1.09) 0.478

Global 0.342 (9.01) *** 1.204 (1.91) * 12.394 (7.56) *** -0.098 (-4.40) *** -0.371 (-3.53) *** 1.479 (5.98) *** 0.235 Panel B: ABCP Full Sample 0.076 (11.97) *** 0.235 (2.04) ** 2.536 (8.78) *** -0.019 (-5.94) *** 0.162 (7.93) *** 0.393 (4.55) *** 0.120

Financial Sector 0.016 (3.02) *** 0.019 (1.20) 0.430 (7.03) *** -0.006 (-6.24) *** 0.007 (0.62) 0.156 (9.96) *** 0.052

Banking 0.028 (2.06) ** -0.023 (-0.47) 0.629 (3.94) *** -0.016 (-5.48) *** -0.011 (-0.31) 0.304 (7.81) *** 0.047

Broker 0.059 (11.70) *** 0.163 (3.11) *** 0.915 (5.52) *** -0.008 (-3.98) *** 0.035 (2.10) ** 0.163 (6.37) *** 0.302

Insurance 0.177 (9.59) *** 0.986 (2.81) *** 2.141 (2.47) ** 0.025 (2.86) *** 0.737 (12.89) *** -0.135 (-0.88) 0.472

Global 0.248 (7.92) *** 1.165 (1.83) * 13.977 (8.69) *** -0.107 (-4.79) *** -0.246 (-2.41) ** 1.569 (6.38) *** 0.239

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Panel C: Repo Full Sample 0.106 (9.19) *** 0.175 (1.58) 3.190 (11.71) *** -0.017 (-4.98) *** 0.225 (12.10) *** 0.366 (4.04) *** 0.123

Financial Sector 0.004 (0.78) 0.015 (0.82) 0.514 (7.78) *** -0.007 (-6.35) *** 0.021 (1.72) * 0.168 (10.63) *** 0.053

Banking 0.016 (1.11) -0.030 (-0.61) 0.673 (4.16) *** -0.017 (-5.65) *** 0.009 (0.31) 0.319 (8.23) *** 0.047

Broker 0.057 (5.75) *** 0.167 (3.02) *** 1.294 (7.60) *** -0.009 (-4.37) *** 0.105 (5.97) *** 0.201 (7.41) *** 0.210

Insurance 0.206 (5.82) *** 0.857 (2.38) ** 4.360 (5.14) *** 0.025 (2.76) *** 0.872 (15.32) *** -0.102 (-0.66) 0.442

Global 0.377 (6.17) *** 0.842 (1.31) 15.560 (9.71) *** -0.107 (-4.71) *** -0.019 (-0.20) 1.601 (5.62) *** 0.221 Note: The dependent variable is the daily percentage spread for ETF i at day t, which is regressed on RET, LogV, VOL, short-sales constraint dummy, and funding liquidity variable on day t. The funding variable is the Libor on trading day t in Panel A, the ABCP on trading day t in Panel B and the REPO on trading day t in Panel C. The bracket value is T-value, which examine whether the regression coefficient is significantly different from zero. ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively.

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Table 5 Market Depth and Funding Liquidity Variables Funding VOL Ntrade Dshort C R2 Panel A: Libor Full Sample -886.76 (-10.94) *** -23030.60 (-8.25) *** -0.102 (-5.72) *** 750.30 (1.46) 4658.02 (3.77) *** 0.090

Financial Sector -1603.75 (-8.27) *** -4544.02 (-1.79) * -0.037 (-0.99) 481.86 (1.13) 4128.05 (23.81) *** 0.051

Banking -802.49 (-4.94) *** 1686.88 (0.86) -0.137 (-3.54) *** 392.45 (1.09) 3041.63 (21.30) *** 0.035

Broker -780.22 (-2.82) *** -19165.40 (-1.98) ** -0.237 (-4.12) *** 271.82 (0.71) 3893.93 (11.76) *** 0.039

Insurance -1112.49 (-5.92) *** -24158.00 (-3.29) *** 0.136 (0.27) 668.62 (1.38) 4204.32 (32.99) *** 0.139

Global -826.44 (-14.33) *** -1882.82 (-0.79) 0.259 (0.92) 1042.74 (6.54) *** 1656.64 (30.98) *** 0.245 Panel B: ABCP Full Sample -552.89 (-8.09) *** -601.84 (-11.36) *** -0.104 (6.13) *** 77.27 (0.38) 1453.99 (1.14) 0.104

Financial Sector -1304.82 (-8.36) *** -5574.59 (-2.19) ** -0.050 (-1.36) 244.59 (0.59) 4128.05 (23.81) *** 0.052

Banking -600.82 (-7.10) *** 1134.31 (1.00) -0.097 (-5.35) *** 279.66 (1.26) 3041.63 (21.30) *** 0.050

Broker -535.41 (-2.72) *** -455.01 (-0.24) -0.243 (-4.14) *** 64.45 (0.17) 3893.93 (11.76) *** 0.027

Insurance -664.17 (-4.36) *** -32792.40 (-4.59) *** 0.112 (0.22) 209.31 (0.44) 4204.32 (32.99) *** 0.126

Global -740.65 (-16.09) *** -1686.31 (-0.74) 0.292 (1.06) 894.02 (5.95) *** 1256.64 (30.98) *** 0.277

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Panel C: Repo Full Sample -1826.52 (-7.02) *** -59262.50 (-10.82) *** -0.218 (-6.30) *** -3558.07 (-0.86) 9134.98 (3.68) *** 0.077

Financial Sector -736.11 (-3.84) *** -7489.12 (-2.86) *** -0.053 (-1.44) -813.04 (-1.98) ** 3284.48 (21.61) *** 0.021

Banking -256.53 (-1.66) * 350.92 (0.17) -0.206 (-5.55) *** -217.82 (-0.70) 2714.31 (25.00) *** 0.050

Broker -747.30 (-3.92) *** -25589.50 (-5.63) *** -0.782 (-9.96) *** -688.05 (-2.25) ** 4325.03 (1.97) ** 0.027

Insurance 246.58 (0.86) -53495.90 (-7.74) *** 0.048 (0.09) -310.97 (-0.67) 3807.36 (29.21) *** 0.110

Global -827.30 (-8.62) *** -9778.65 (-4.02) *** 0.074 (0.25) 179.35 (1.17) 1564.26 (25.04) *** 0.153 Note: The dependent variable is the daily market depth for ETF i at day t, which is regressed on the VOL, Ntrade, short-sales constraint dummy, and funding liquidity variable on day t. The funding variable is the Libor on trading day t in Panel A, the ABCP on trading day t in Panel B and the REPO on trading day t in Panel C. The bracket value is T-value, which examine whether the regression coefficient is significantly different from zero. ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively.

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Table 6 Net Buying Volume and Funding Liquidity Variables Funding Ret VOL LogV Dshort C R2 Panel A: Libor Full Sample -84.95 (-1.10) 5453.69 (4.77) *** 2657.73 (0.91) 104.59 (3.86) *** -188.40 (-0.90) -1011.01 (-3.24) *** 0.007

Financial Sector -473.23 (-1.76) * 1286.36 (3.43) *** 6793.43 (0.70) 260.17 (3.32) *** -256.62 (-0.36) -2612.21 (-2.80) *** 0.014

Banking -170.22 (-2.16) ** 2541.06 (2.91) *** 1165.11 (2.48) ** 28.55 (1.27) 91.93 (0.55) 522.77 (1.09) 0.014

Broker 44.53 (0.68) 1261.38 (1.47) 49.54 (1.76) * 134.51 (0.55) -146.37 (-0.87) -610.76 (-1.73) * 0.007

Insurance -68.73 (-1.83) * 783.74 (1.36) 6648.67 (4.49) *** 40.86 (3.08) *** -190.90 (-1.97) ** -404.39 (-3.03) *** 0.047

Global 12.69 (2.01) ** 711.79 (6.76) *** -540.26 (-2.01) ** -1.67 (-0.64) 2.05 (0.12) 156.66 (0.65) 0.049 Panel B: ABCP Full Sample -43.27 (-0.60) 5512.45 (14.20) *** 3260.59 (0.99) 92.71 (2.83) *** -253.50 (-1.10) -890.34 (-2.4) ** 0.005

Financial Sector -27.14 (-0.61) 1296.37 (0.22) 1493.90 (1.09) 29.72 (2.41) ** -91.79 (-0.63) -218.34 (-1.61) 0.012

Banking -42.67 (-1.67) * 1042.33 (2.08) ** 2134.55 (1.81) * 33.69 (2.21) ** 146.75 (1.60) -325.11 (-1.62) 0.026

Broker 70.29 (1.36) 1287.40 (1.50) 527.58 (0.23) 51.45 (1.88) * -166.94 (-1.04) -646.21 (-1.89) * 0.009

Insurance -45.98 (-1.52) 779.31 (1.35) 6372.40 (4.52) *** 36.34 (3.68) *** -216.90 (-2.31) ** -362.79 (-3.73) *** 0.051

Global 11.08 (2.15) ** 712.86 (6.78) *** -530.95 (-2.03) ** -1.87 (-0.72) 4.59 (0.27) 16.79 (10.03) *** 0.050

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Panel C: Repo Full Sample 13.21 (0.11) 5534.22 (4.85) *** 1106.44 (0.40) 96.98 (3.38) *** -288.59 (-1.50) -953.33 (-2.87) *** 0.006

Financial Sector -44.94 (-0.58) 1304.33 (2.24) ** 1369.21 (1.04) 30.86 (2.54) *** -118.30 (-0.93) -2233.06 (-1.65) * 0.013

Banking 62.17 (1.06) 798.48 (2.22) ** -325.86 (-0.39) 21.92 (2.84) *** 77.37 (1.19) -213.54 (-2.75) *** 0.025

Broker 68.23 (0.71) 1257.14 (11.46) *** 1502.39 (0.68) 44.64 (1.66) * -107.74 (-0.70) -551.41 (-1.65) * 0.007

Insurance -50.82 (-0.90) 813.12 (1.41) 5754.49 (4.30) *** 36.53 (3.69) *** -251.97 (-2.76) *** -373.44 (-3.85) *** 0.049

Global 28.08 (2.83) *** 698.34 (6.66) *** -592.14 (-2.30) ** -2.06 (-0.99) 13.15 (0.83) 17.39 (0.72) 0.053 Note: The dependent variable is the daily net buying volumes for ETF i at day t, which is regressed on the return on day t, VOL, LogV, short-sales constraint dummy, and funding liquidity variable. The funding variable is the Libor on trading day t in Panel A, the ABCP on trading day t in Panel B and the REPO on trading day t in Panel C. All of these table coffees are divided 100. The bracket value is T-value, which examine whether the regression coefficient is significantly different from zero. ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively.

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Table 7 Event Study

Variables SP

Depth

OIBNUM

Coeff. t-Value Coeff. t-Value Coeff. t-Value

Libor×D1 0.115 3.07*** -237.86 -0.75 965.65 2.48**

Libor×D2 0.137 3.12*** -1172.19 -3.12*** 190.39 4.14***

Libor×D3 -0.018 -0.53 -72.66 -0.26 255.96 0.75

Libor×D4 0.127 6.41*** -501.35 -2.97*** -72.89 -0.59

Libor×D5 -0.007 -0.60 198.37 1.97** 7.76 0.04

Libor 0.112 14.11*** -932.33 -13.70*** -53.86 -0.65

Ret 0.252 2.30** 5452.04 4.77***

LogV -0.019 -5.66*** 89.07 3.16***

Ntrade -0.135 -7.72***

VOL 2.046 7.05*** -21264.50 -8.70*** 1519.48 0.51

Dshort 0.042 1.65* 1029.64 4.60*** -117.73 -0.43

C 0.378 4.25*** 4718.94 3.56*** -861.76 -2.65***

Observations 8,091 8,091 8,091

R2 0.140 0.149 0.010 Note: The dependent variable is the daily percentage spread for ETF i at day t in first column, which is regressed on LogP, LogV, VOL, short-sales constraint dummy, and Libor on day t. The dependent variable is the daily market depth for ETF i at day t in second column which is regressed on the VOL, Ntrade, short-sales constraint dummy, and Libor on day t. The dependent variable is the daily net buying volumes for ETF i at day t in last column, which is regressed on the return on day t, VOL, LogV, short-sales constraint dummy, and Libor on day t. The dummy variable D1 is equal to 1 on days from 03 March, 2008 to 14 March, 2008, D2 is equal to 1 on days from 17 March, 2008 to 31 March, 2008, D3 is equal to 1 on days from 01 September, 2008 to 12 September, 2008 and D4 is equal to 1 on days from 15 September, 2008 to 30 September, 2008. Therefore, Libor×D1 could measure Libor liquidity before Bear Stearns event; Libor×D2 could measure Libor liquidity after Bear Stearns event. Libor×D3 could measure Libor liquidity before Lehman Brothers bankruptcy, and Libor×D4 could measure Libor liquidity after Lehman Brothers bankruptcy. All of the last column coffees are divided 100. The T-value means that examine whether the regression coefficient is significantly different from zero. ***, **, and * indicate significance at the 1%, 5%, and 10% levels, respectively.

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Figure 1 Funding Liquidity

Note: The times-series daily values of Libor, ABCP, and Repo during the period from 1 January, 2007 to 31 December, 2008.

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Appendix 1 Ticker ETFs Full name Exchange Observations Definition Broad U.S. Financial Sector

XLF Financial Select Sector SPDR Amex 506 The underlying index includes commercial and investment banking and capital markets, diversified financial services, insurance and real estate.

IYF iShares Dow Jones U.S. Financial Sector NYSEArca 506 The underlying index includes companies in the following industry groups: Banks, Non-life

insurance, Life insurance, Real estate, and General finance. VFH Vanguard Financials ETF Amex 506 It designed to track the performance of the MSCI U.S. Investable Market Financials index.

IYG iShares Dow Jones U.S. Financial Services NYSEArca 506 It is a subset of the Dow Jones U.S. Financial index.

Banking

KBE KBW Bank ETF Amex 506 The underlying index includes national money center banks and regional banking institutions listed on U.S. stock markets

KRE KBW Regional Banking ETF Amex 506 An equal weighted index of geographically diverse companies representing regional banking institutions listed on U.S. stock markets

RKH Regional Bank HOLDRs Amex

506 The investment is designed to diversify your investment in the regional banking industry through a single, exchange-listed instrument representing your undivided beneficial ownership of the underlying securities.

IAT iShares Dow Jones U.S. Regional Banks NYSEArca 506

The underlying index is a subset of the Dow Jones U.S. bank index small and mid-size banks.

Broker and Asset Management

IAI iShares Dow Jones U.S. Broker-Dealers NYSEArca 506 Companies providing a range of specialized financial services, including securities brokers

and dealers, online brokers and securities or commodities exchanges.

KCE KBW Capital Markets ETF Amex 506 In the U.S. capital market industry and includes broker dealers, asset managers, trust and custody banks and a stock exchange.

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Insurance

KIE KBW Insurance ETF Amex 506 In the insurance industry which are publicly traded in the U.S. including personal and commercial lines, property/casualty, life insurance, reinsurance, brokerage and financial guarantee.

IAK iShares Dow Jones U.S. Insurance NYSEArca 504 The underlying index includes companies in the following industry groups: Full line insurance, insurance brokers, property and casualty insurance reinsurance and life insurance.

Global

IXG iShares S&P Global Financials NYSEArca 506 It is a subset of the S&P Global 1200 Index.

DRF WisdomTree International Financial NYSEArca 505 It measures the performance of dividend-paying companies in developed markets outside of the U.S. and Canada within the "International Financial" sector.