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Share repurchases, the clustering problem, and the free cash flow hypothesis.

We examine the market reaction to announcements of actual share repurchases, events that cluster both within and across firms. Using a multivariate regression regression, in psychology: see defense mechanism.
regression

In statistics, a process for determining a line or curve that best represents the general trend of a data set.
 model, we find that the market reacts positively to the events, indicating that these announcements provide additional information to that contained in the initial repurchase re·pur·chase  
tr.v. re·pur·chased, re·pur·chas·ing, re·pur·chas·es
To buy (something) again.

n.
The act of buying something that one previously sold or owned.

Noun 1.
 intention announcements. Further, the market response is especially favorable fa·vor·a·ble  
adj.
1. Advantageous; helpful: favorable winds.

2. Encouraging; propitious: a favorable diagnosis.

3.
 for firms with overinvestment Overinvestment

In corporate finance, this refers to managers not acting in the best interests of the shareholders and investing too much (potentially in negative net present value projects).
 problems as measured by Tobin's q, and is not related to signaling costs as measured by the size of the repurchase. Our findings generally support the hypothesis that share repurchases reduce the agency costs Agency Costs

The costs resulting from an agent performing services for a principal.

Notes:
Agency costs are generally the commissions earned by agents.
See also: Agency Problem, Agent, Principal



Agency costs
 of excessive free cash flow.

**********

Announcements of open market repurchase programs in the United States United States, officially United States of America, republic (2005 est. pop. 295,734,000), 3,539,227 sq mi (9,166,598 sq km), North America. The United States is the world's third largest country in population and the fourth largest country in area.  are popular and attract positive market reactions (Asquith and Mullins, 1986; Netter and Mitchell Mitchell, city (1990 pop. 13,798), seat of Davison co., SE S.Dak.; inc. 1881. Mitchell is a trade, distribution, and shipping center for a dairy and livestock area. , 1989; Comment and Jarrell, 1991; Singh, Zaman, and Krishnamurti, 1994; Ikenberry, Lakonishok, and Vermaelen, 1995; McNally, 1999; Kahle, 2002). However, the reason that the market reacts favorably fa·vor·a·ble  
adj.
1. Advantageous; helpful: favorable winds.

2. Encouraging; propitious: a favorable diagnosis.

3.
 to these announcements remains in dispute because they do not represent firm commitments to buy back shares in the future. Bartov (1991), Comment and Jarrell (1991), and Lie (2005) argue that share repurchases increase firm value since potential cash payouts signal managerial confidence about future financial performance and cash flow. (1) This is consistent with the information-signaling (or undervaluation un·der·val·ue  
tr.v. un·der·val·ued, un·der·val·u·ing, un·der·val·ues
1. To assign too low a value to; underestimate.

2. To have too little regard or esteem for.
) hypothesis of Bhattacharya (1979) and Miller and Rock (1985). In contrast, Jagannathan and Stephens (2003), Grullon and Michaely (2004), and Li and McNally (2007) favor the free cash flow hypothesis, which states that share repurchases create firm value as potential repurchases reduce resources wasted on negative net present value (NPV NPV

See: Net present value
) projects (Jensen, 1986). Both hypotheses predict a positive market reaction to repurchase intention announcements. Previous studies have used various data, methodologies, and proxies to shed light on these two hypotheses. However, these investigations have generally yielded mixed results.

Lie (2005), while investigating US firms, argues that these conflicting results probably occur because the announced repurchase programs reflect managerial intentions rather than legal obligations to actually repurchase shares from the market. He finds that both operating performance improvements and positive earnings announcement returns are limited to firms that actually repurchase shares during the same fiscal quarter. His findings suggest that the announcement of repurchase intention alone may not be a good indicator of superior future financial performance and cash flow. Similarly, Mitchell and Dharmawan (2007) find that Australian firms, which are required to disclose daily buyback transactions, have greater incentives to signal stock undervaluations or to return excess cash than do firms in countries like the United States that lack formal procedures for disclosing relevant information regarding repurchases. (2)

Previous studies in the United Kingdom by Rees (1996) and in Hong Kong Hong Kong (hŏng kŏng), Mandarin Xianggang, special administrative region of China, formerly a British crown colony (2005 est. pop. 6,899,000), land area 422 sq mi (1,092 sq km), adjacent to Guangdong prov.  by Zhang (2005) find that the market reacts positively to actual share repurchases, even after it has shown a positive response to initial announcements of intent to repurchase. These actual share repurchases appear to provide value-relevant information in addition to that conveyed by the initial repurchase program announcements. We examine this issue further by investigating how the market interprets the reasons for actual share repurchases after the initial repurchase intention announcements.

We use UK data for this study for the following reasons. Although US firms have been disclosing cash spending on capital transactions in their cash flow statements since 1984, Stephens and Weisbach (1998) and Jagannathan, Stephens, and Weisbach (2000) point out that this cash spending may include other capital transactions such as the conversion of other classes of stock into common stock, the retirement of common or preferred stock Stock shares that have preferential rights to dividends or to amounts distributable on liquidation, or to both, ahead of common shareholders.

Preferred stock is given preference over common stock. Holders of preferred stock receive dividends at a fixed annual rate.
, or the redemption of redeemable Redeemable

Eligible for redemption under the terms of an indenture.
 preferred stock. These researchers note that this expenditure is, therefore, not a good measure of actual share repurchases. Firms in the United Kingdom, however, must announce their repurchase transactions before 7:30 a.m. on the following trading day In Business, the trading day is the time span that a particular stock exchange is open. For example, the New York Stock Exchange is, as of 2006, open from 09:30AM to 4:00PM. Trading days never take place on weekends. . These compulsory Wikipedia does not currently have an encyclopedia article for .

You may like to search Wiktionary for "" instead.

To begin an article here, feel free to [ edit this page], but please do not create a mere dictionary definition.
 announcements provide a precise description of every repurchase transaction, including its timing and payout pay·out  
n.
1. The act or an instance of paying out.

2. A percentage of corporate earnings that is paid as dividends to shareholders.
 size.

With a sample of 5,500 announcements of UK share repurchases identified from September 1997 to July 2003, we are able to examine two empirical issues. First, we test the statistical significance of abnormal returns Abnormal returns

The component of the return that is not due to systematic influences (market-wide influences). In other words, the abnormal returns is the difference between the actual return and that is expected to result from market movements (normal return). Related: excess returns.
 around the announcements of actual repurchases using Zellner's (1962) seemingly unrelated regression In econometrics, seemingly unrelated regression (SUR), model developed in Zellner (1962), is a technique for analyzing a system of multiple equations with cross-equation parameter restrictions and correlated error terms.  (SUR Sur, Lebanon: see Tyre. ). The SUR generates more efficient estimates than does a traditional multivariate regression model when actual repurchase announcements cluster both within and across firms. This is an important research design issue as failing to account for cross-sectional correlations and heteroskedasticity in estimating abnormal returns and associated standard errors can invalidate in·val·i·date  
tr.v. in·val·i·dat·ed, in·val·i·dat·ing, in·val·i·dates
To make invalid; nullify.



in·val
 evidence of the market's reaction to actual repurchases. Second, we investigate whether the market's interpretation of actual share repurchases is consistent with the free cash flow hypothesis or information-signaling hypothesis using proxies for firm investment strategy and actual repurchase size. Previous studies have investigated how the market interprets the purpose of initial repurchase program announcements but have largely ignored actual share repurchases. Lie (2005) points out that the actual share repurchases play an important role in explaining the abnormal returns around the initial repurchase intention and earnings announcements. However, it is still unclear as to why firms actually purchase their shares even after the initial repurchase announcements have increased share prices, except in an inefficient market Inefficient Market

A theory which asserts that the market prices of common stocks and similar securities are not always accurately priced and tend to deviate from the true discounted value of their future cash flows. This theory opposes the efficient market hypothesis.
 as shown theoretically by Isagawa (2002).

Consistent with previous studies, we find that the announcements of actual repurchases convey favorable information to the market. This finding indicates that actual share repurchases contain value-relevant information beyond that contained in the initial announcements of intent to repurchase. In studying how investors interpret the reasons for the actual share repurchases, we follow Lang Lang language
LANG Louisiana Army National Guard
Lang Langobardian (linguistics)
LANG Los Angeles Newspaper Guild
 and Litzenberger (1989), who use Tobin's q to identify overinvesting firms. In this way, we test the free cash flow hypothesis. Our results generally support this hypothesis in that we find that the market reacts more positively to repurchase announcements by firms with overinvestment problems. This suggests that share repurchases shift financial resources away from unnecessary costly projects, thereby increasing shareholder confidence in overinvesting firms. To test the information-signaling hypothesis, we apply the argument of Bhattacharya (1979) and Miller and Rock (1985) and use the size of individual buyback transactions as a proxy for signaling costs. We find that higher payouts do not result in higher abnormal returns around the announcements of actual share repurchases. This suggests that the market does hot consider the magnitude of actual share repurchase Share Repurchase

A program by which a company buys back its own shares from the marketplace, reducing the number of outstanding shares. This is usually an indication that the company's management thinks the shares are undervalued.
 to be significant when signaling future cash flow performance.

This paper contributes to the literature in several ways. First, instead of discarding clustered announcements of actual repurchases, we apply Zellner's (1962) SUR model to identify the significance of the market reaction to clustered events (i.e., the announcements of actual share repurchases). Second, our data regarding actual repurchases are accurate because UK firms, unlike US firms, must report the details of these transactions. Third, our sample size is large enough to investigate how investors interpret the purpose of share repurchases. Fourth, we provide further evidence as to how the market interprets the underlying reasons for firms actually repurchasing their own shares even after their repurchase intention announcements have resulted in increased share prices.

This paper continues as follows. Section I discusses the regulations governing gov·ern  
v. gov·erned, gov·ern·ing, gov·erns

v.tr.
1. To make and administer the public policy and affairs of; exercise sovereign authority in.

2.
 the reporting of share repurchases in the United Kingdom and summarizes previous studies. Section II describes the selection criteria of our sample. Research methodology and hypothesis development are discussed in Section III, and our empirical findings are presented in Section IV. Section V offers our conclusion.

I. UK Repurchase Regulations and Prior Studies

We focus on open-market equity share repurchases, which are the most common type of buyback engaged in by listed UK companies (Rau and Vermaelen, 2002; Oswald and Young, 2004, 2008). UK firms were first allowed to repurchase their own shares under the Companies Act of 1981. The provisions are now part of the Companies Act of 1985. Listed firms must also comply with the Listing Rules of the London Stock Exchange London Stock Exchange

London marketplace for securities. It was formed in 1773 by a group of stockbrokers who had been doing business informally in local coffeehouses.
 when conducting open-market share repurchases.

According to according to
prep.
1. As stated or indicated by; on the authority of: according to historians.

2. In keeping with: according to instructions.

3.
 the Companies Act of 1985 and the Listing Rules, UK listed firms must have articles of association permitting share repurchase and buyback authority conferred con·fer  
v. con·ferred, con·fer·ring, con·fers

v.tr.
1. To bestow (an honor, for example): conferred a medal on the hero; conferred an honorary degree on her.
 by shareholders at a general meeting. For repurchase authority, the board of directors must submit to shareholders a resolution authorizing their firm to buy back shares. In this context, UK repurchase intention announcements can refer to: 1) a board's decision to seek repurchase authority from shareholders, 2) a resolution passed by shareholders at a general meeting, or 3) a declared share repurchase plan share repurchase plan

A corporation's plan for buying back a predetermined number of its own shares in the open market. Institution of a share repurchase plan derives from management's view that the company has limited outside investment opportunities and
. UK repurchase intention announcements, like their US counterparts, are uncommitted; many firms announce buyback intentions, but do not subsequently repurchase their stock (Netter and Mitchell, 1989; Singh, Zaman, and Krishnamurti, 1994; Stephens and Weisbach, 1998; Garella, 1999). There is also no evidence that at the time of a repurchase intention announcement, investors can predict which firms will actually follow through and repurchase their shares (Lie, 2005).

UK repurchase announcement data provide a unique opportunity for testing the information content of actual share repurchases as a result of three distinctive regulations. First, after executing a share repurchase, the firm is required, according to the Listing Rules, to report details of the transaction no later than 7:30 a.m. on the first business day following the repurchase execution. Investors are aware of the timing and size of the share repurchases immediately because the announcement is disseminated disseminated /dis·sem·i·nat·ed/ (-sem´i-nat?ed) scattered; distributed over a considerable area.

dis·sem·i·nat·ed
adj.
Spread over a large area of a body, a tissue, or an organ.
 electronically and includes: 1) the repurchase date, 2) the number of shares repurchased, and 3) the price paid or the highest and lowest prices paid. Second, an open-market repurchase price cannot exceed 5% of the average price of the stock for five business days prior to the repurchase day. This price restriction limits the ability of UK firms to manipulate manipulate

To cause a security to sell at an artificial price. Although investment bankers are permitted to manipulate temporarily the stock they underwrite, most other forms of manipulation are illegal.
 prices upward by repurchasing shares (Kim, Schremper, and Varaiya, 2005). Third, shares repurchased before December 1, 2003 have to be canceled and cannot be used to fund employee share schemes or trusts. This restriction limits other potential explanations for abnormal returns on repurchase announcement days (Oswald and Young, 2008). Finally, the Listing Rules prohibit pro·hib·it  
tr.v. pro·hib·it·ed, pro·hib·it·ing, pro·hib·its
1. To forbid by authority: Smoking is prohibited in most theaters. See Synonyms at forbid.

2.
 a firm from repurchasing shares during the one- or two-month "close periods" before preliminary announcements of interim (and final) operating results. These close periods may help deter UK firms from exploiting information asymmetry Information asymmetry

Condition that information is known to some, but not all, participants.
 between insiders and investors (Rau and Vermaelen, 2002).

Several studies demonstrate that repurchase intention announcements attract positive abnormal returns (Netter and Mitchell, 1989; Comment and Jarrell, 1991; Singh, Zaman, and Krishnamurti, 1994; Ikenberry, Lakonishok, and Vermaelen, 1995; McNally, 1999; Kahle, 2002; Rau and Vermaelen, 2002; Oswald and Young, 2004) but provide no consensus as to what information the announcements actually contain. For example, Netter and Mitchell (1989), Bartov (1991), Comment and Jarrell (1991), McNally (1999), and Lie (2005) favor the information-signaling hypothesis, whereas Jagannathan and Stephens (2003), Grullon and Michaely (2004), and Li and McNally (2007) favor the free cash flow hypothesis. This disagreement may be due to the uncommitted nature of repurchase intention announcements (Lie, 2005), or may be due to difficulties in forecasting the number or value of shares actually to be repurchased following each announced intention (Stephens and Weisbach, 1998; Jagannathan, Stephens, and Weisbach, 2000). Moreover, firms may simply announce repurchase intentions to mimic competitors that have previously made such announcements (Massa, Rehman, and Vermaelen, 2007). Consequently, it is the actual repurchase announcements and not the repurchase intention announcements that are correlated cor·re·late  
v. cor·re·lat·ed, cor·re·lat·ing, cor·re·lates

v.tr.
1. To put or bring into causal, complementary, parallel, or reciprocal relation.

2.
 with changes in systematic risk and operating performance (Lie, 2005; Wang (Wang Laboratories, Inc., Lowell, MA) A computer services and network integration company. Wang was one of the major early contributors to the computing industry from its founder's invention that made core memory possible, to leadership in desktop calculators and word processors.  and Johnson, 2009). Thus, although repurchase intention announcements deliver favorable information to the market, it is the announcements of actual share repurchases that provide additional and more reliable information for investigating the reasons for share repurchases as they are perceived by market participants. Despite this, the market reactions to actual repurchases have been examined only by Rees (1996) for UK firms and by Zhang (2005) for Hong Kong firms.

It is difficult to test abnormal returns around actual share repurchase announcements because they tend to repeat, with small, irregular HEIR, IRREGULAR. In Louisiana, irregular heirs are those who are neither testamentary nor legal, and who have been established by law to take the succession. See Civ. Code of Lo. art. 874.  intervals between consecutive announcements. In addition, announcements by different firms occur on the same day, causing the traditional event clustering problem. Rees (1996) pools return data for 105 firms from 1983 to 1990, regressing abnormal returns on 11 dummy Sham; make-believe; pretended; imitation. Person who serves in place of another, or who serves until the proper person is named or available to take his place (e.g., dummy corporate directors; dummy owners of real estate).  variables covering an 11-day period centering on the announcement day. His results demonstrate that for unadjusted and market-adjusted returns, there is a small, but significant announcement day abnormal return Abnormal Return

When the return on an asset or security is in excess of the expected rate of return.

Notes:
Earning 30% in a mutual fund that is supposed to average 10% would be an abnormal return. Much like winning the lottery, this is something we want to happen.
 of 0.236% and 0.260%, respectively. (3) To control for event clustering, Rees uses an approximate randomization randomization (ranˈ·d·m  technique to confirm his tests of significance. However, Rees' explanation of this procedure is brief, and he does not explain the announcement day abnormal returns.

Zhang (2005) finds that the market reacts more favorably to repurchase execution announcements by small and value (high book-to-market) firms. He interprets that this finding is due to the fact that these firms are more likely to be subject to market mispricing. Zhang collects 3,628 announcements released by 135 Hong Kong firms from September 1993 to August 1997 but considers only the first announcement of each firm in any given month. That is, he tests only 22.05% of all possible announcements (800 of 3,628) because the remaining 77.95% occur later in the month and are excluded from his sample. In addition, Zhang barely mentions the clustering issue; therefore, event clustering problems may be affecting Zhang's tests of significance.

II. Sample Selection

We collect actual share repurchases announced by all UK listed firms from September 1997 to July 2003, quoted on the database Company REFS, published by HS Financial Publishing Ltd. (formerly Hemmington Scott Ltd.). Each listing contains an announcement date, a repurchase price, and the number of shares repurchased. We verify (1) To prove the correctness of data.

(2) In data entry operations, to compare the keystrokes of a second operator with the data entered by the first operator to ensure that the data were typed in accurately. See validate.
 more than 3% of the 9,020 buyback announcements by checking the original disclosures of the firms. The data documented in Company REFS are found to accurately reflect the original announcements.

Table I summarizes our five sample selection criteria. First, we examine only the announcements of ordinary share repurchases. Second, announcements must contain the announcement date, the repurchase price, and the number of shares repurchased. Third, we exclude firms without Datastream codes. Fourth, following Lie (2005) and Hribar, Jenkins, and Johnson (2006), we exclude closed end investment trusts. Finally, similar to Rees (1996) and Cook, Krigman, and Leach (2004), we exclude announcements with a ratio of actual repurchase price to unadjusted closing price outside the range of 0.8772 to 1.0874 on the announcement day in order to reduce potential errors in reported repurchase prices. In addition to these five criteria, we delete To remove an item of data from a file or to remove a file from the disk. See file wipe, trash and undelete.

1. (operating system) delete - (Or "erase") To make a file inaccessible.
 337 announcements that are subsequent announcements by the same firms on the same day. As a result, our final sample includes 5,500 repurchase execution announcements released by 316 UK listed firms.

Because the 5,500 announcements of actual share repurchases of our sample were released by UK firms over a period of 1,494 trading days (from September 1, 1997 to July 31, 2003), it is obvious that announcements by different firms occurred on the same day. This introduces the possibility of cross-correlation Cross-Correlation

A statistical measure timing the movements and proximity of alignment between two different information sets of a series of information.

Notes:
Cross correlation is generally used when measuring information between two different time series.
 of abnormal returns (Collins and Dent, 1984; Sefcik and Thompson Thompson, city, Canada
Thompson, city (1991 pop. 14,977), central Man., Canada, on the Burntwood River. A mining town, it developed after large nickel deposits were discovered in the area in 1956.
, 1986; Bernard Ber·nard , Claude 1813-1878.

French physiologist noted for his study of the digestive and nervous systems.
, 1987), and incorrect inferences can occur if this issue is not accounted for.

This is highlighted in Table II that illustrates the clustering problem within and across firms with the reporting of the distribution of the 5,500 announcements. Only 61 firms (19.3%) release a single announcement over the sample period, whereas 120 firms (37.9%) released at least 10 announcements over the same period. In terms of the time lag between consecutive announcements, 2,469 (44.8%) announcements were released on the trading day following a prior announcement, and 4,175 (75.9%) announcements were released within five trading days of a prior announcement. This finding is generally consistent with that of Rees (1996). In his sample of 882 repurchase execution announcements, 359 (604) announcements, or 40.7% (68.5%) of his sample, were released within five (30) days of a previous announcement. The above findings confirm that within firms, there is a clustering of repurchase execution announcements and this must be addressed in the statistical design of the study.

Table II also indicates that announcements of repurchase executions cluster across firms. Of the 1,494 trading days in the sample period, 155 days (10.3%) have no announcements at all, 1,079 days (72.2%) have between 2 and 10 repurchase announcements released by different firms, and 81 days (5.4%) have at least 10 firms announcing their actual share repurchases on the same day. At the extreme, 19 different firms made repurchase announcements on April 1, 2003. These findings demonstrate that actual share repurchase announcements by different firms overlap (cluster) to various degrees.

III. Research Methodology and Hypothesis Development

We find that the announcements of actual share repurchases in the United Kingdom cluster both within and across firms. To mitigate mit·i·gate
v.
To moderate in force or intensity.



miti·gation n.
 the clustering problem and to extend the studies of Rees (1996) and Zhang (2005), we apply a modified version of Gibbons' (1982) multivariate regression model (MVRM) to estimate abnormal returns and their standard errors. Several studies advocate the MVRM (e.g., Schipper and Thompson, 1983; Binder binder: see combine.


An earlier Microsoft Office workbook file that let users combine related documents from different Office applications. The documents could be viewed, saved, opened, e-mailed and printed as a group.
, 1985a, 1985b; Salinger, 1992; Acharya For the pen name of D. Murdock, see .
An acharya is an important religious teacher. The word has different meanings in Hinduism and Jainism. In Hinduism
In the Hindu religion, an acharya (आचार्य) is a Divine personality
, 1993) or apply the MVRM (Schipper and Thompson, 1983; Hughes and Ricks, 1984; Malatesta and Thompson, 1985; Sefcik and Thompson, 1986) to incorporate cross-sectional correlations into hypothesis testing hypothesis testing

In statistics, a method for testing how accurately a mathematical model based on one set of data predicts the nature of other data sets generated by the same process.
.

In out study, each firm has a unique set of repurchase execution announcements. When compared with the traditional MVRM, in which all firms subject to a common external event have the same regressors, Zellner's (1962) SUR generates the same slope coefficients of abnormal returns as ordinary least squares (OLS OLS Ordinary Least Squares
OLS Online Library System
OLS Ottawa Linux Symposium
OLS Operation Lifeline Sudan
OLS Operational Linescan System
OLS Online Service
OLS Organizational Leadership and Supervision
OLS On Line Support
OLS Online System
). Thus, there is no improvement in efficiency by using the traditional MVRM when the explanatory ex·plan·a·to·ry  
adj.
Serving or intended to explain: an explanatory paragraph.



ex·plan
 variables are the same for different regression equations (Binder, 1985b). However, by using a modified MVRM, we are able to efficiently estimate both the coefficients of abnormal returns and their standard errors as each firm has a unique set of dummy variables indicating the firm-specific repurchase execution announcements of the firm. We specify the modified MVRM as

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE re·pro·duce  
v. re·pro·duced, re·pro·duc·ing, re·pro·duc·es

v.tr.
1. To produce a counterpart, image, or copy of.

2. Biology To generate (offspring) by sexual or asexual means.
 IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ], (1)

where [R.sub.it] is firm i's return on day t; [R.sub.mt] is the FTSE All-Share Index The FTSE All-Share Index is a capitalisation-weighted index, comprising around 800 of more than 2,000 companies traded on the London Stock Exchange. It aims to represent at least 98% of the full capital value of all UK companies that qualify as eligible for inclusion.  return on day t; t = 1, 2, ..., T is each distinct trading day in the data period; [D.sub.i,n,t] is a dummy variable This article is not about "dummy variables" as that term is usually understood in mathematics. See free variables and bound variables.

In regression analysis, a dummy variable
 equal to 1 if day t is n days from a repurchase execution announcement of firm i, and 0 otherwise; and Sis See safety instrumented system.  the number of trading days after an announcement. (4) Here, Mis the number of firms, [[alpha].sub.i] and [[beta].sub.i] are market model parameters, [b.sub.in], i = 1, ..., M;n = 0, ..., S are an estimate of average abnormal returns, and [[epsilon].sub.it] is an error term. (5)

We use two proxies, Tobin's q and the size of share repurchases, to distinguish between the free cash flow and the information-signaling hypotheses. Lang and Litzenberger (1989) illustrate how Tobin's q can be used as a proxy for a firm's investment strategy. They argue that because conflicts of interest over payout policies are more severe for firms with overinvestment problems, cash payouts made by these firms should attract more favorable abnormal returns. When the firms distribute excess cash to shareholders, the likelihood that the firms will invest in negative NPV projects is reduced (Jensen, 1986) and/or managers are more likely to succumb suc·cumb  
intr.v. suc·cumbed, suc·cumb·ing, suc·cumbs
1. To submit to an overpowering force or yield to an overwhelming desire; give up or give in. See Synonyms at yield.

2. To die.
 to the monitoring discipline of the market (Easterbrook, 1984). Thus, we accept the free cash flow hypothesis if the market reacts asymmetrically to share repurchases by firms with and without overinvestment problems. (6)

Many studies have applied the methodology of Lang and Litzenberger (1989) to the analysis of tender offer share repurchases (Howe, He, and Kao, 1992; Perfect, Peterson, and Peterson, 1995; Nohel and Tarhan, 1998). However, to our knowledge, no studies have used Tobin's q to test how investors interpret the reasons for open-market repurchase execution announcements. We measure Tobin's q for each repurchase execution announcement as

Tobin's [q.sub.i] = [MV.sub.i] + [DEBT.sub.i]/[ASSETS.sub.i], (2)

where [MV.sub.i] is firm i's equity market value (Datastream Item MV) one day before the repurchase execution announcement, [DEBT.sub.i] is firm i's book value of debt calculated as the book value of total assets (Datastream Item 392) minus the book value of equity (Datastream Item 305) at year-end before the announcement, and [ASSETS.sub.i] is the book value of total assets of firm i at year-end before the announcement. (7) Our proxy for investment opportunities is similar to that used by Chung and Pruitt (1994), Chen and Ho (1997), Carroll Car·roll , James 1854-1907.

British-born American physician noted for his research on yellow fever. In 1900 he deliberately infected himself with the disease for experimental purposes.
, Griffith, and Rudolph (1998), Friday, Howton, and Howton (2000), Kohers and Kohers (2001), and Broussard, Buchenroth, and Pilotte (2004).

When there is more than one share repurchase during a year, we deduct de·duct  
v. de·duct·ed, de·duct·ing, de·ducts

v.tr.
1. To take away (a quantity) from another; subtract.

2. To derive by deduction; deduce.

v.intr.
 the cumulative value of the share repurchases made in the previous announcements from both [MV.sub.i] and [ASSETS.sub.i] for each subsequent share repurchase. The deduction deduction, in logic, form of inference such that the conclusion must be true if the premises are true. For example, if we know that all men have two legs and that John is a man, it is then logical to deduce that John has two legs.  of the cumulative value of shares repurchased and the use of [MV.sub.i] one day before the announcement are intended to mitigate the concern that Tobin's q is stable for a firm's several repurchase execution announcements in the same year.

Information-signaling models hypothesize hy·poth·e·size  
v. hy·poth·e·sized, hy·poth·e·siz·ing, hy·poth·e·siz·es

v.tr.
To assert as a hypothesis.

v.intr.
To form a hypothesis.
 that payout increases (decreases) convey favorable (unfavorable) information about future cash flow as higher cash payouts indicate the confidence of managers in the future and increase signaling costs, thereby discouraging dis·cour·age  
tr.v. dis·cour·aged, dis·cour·ag·ing, dis·cour·ag·es
1. To deprive of confidence, hope, or spirit.

2. To hamper by discouraging; deter.

3.
 financially troubled firms from making similar cash disbursements. Consequently, if the information-signaling hypothesis best explains the abnormal returns around actual share repurchases, there should be a positive relation between abnormal returns and repurchase size. We compare the percentage of shares repurchased with the overall median percentage over the previous 12 months to avoid hindsight bias "Hindsight" redirects here. For other uses, see Hindsight (disambiguation).
Hindsight bias is the inclination to see events that have occurred as more predictable than they in fact were before they took place.
, and divide the 4,968 announcements into those with a repurchase size greater than or smaller than the median size over the previous 12 months. (8)

Although actual share repurchases confirm the timing and size of actual cash payouts, these repurchase announcements are released in a repeated and irregular fashion. To test the information-signaling and free cash flow hypotheses, it is necessary to control for this unusual pattern. We predict that if the announcement of actual share repurchases contains new information, then the longer the time elapsed e·lapse  
intr.v. e·lapsed, e·laps·ing, e·laps·es
To slip by; pass: Weeks elapsed before we could start renovating.

n.
 since a previous announcement of actual share repurchase, the greater the information content of this actual repurchase announcement (Rees, 1996). Time lag, therefore, is the control variable, and a positive association between abnormal returns and the time lag (measured in days) is consistent with both the free cash flow hypothesis and information-signaling hypothesis.

IV. Empirical Results

Table III demonstrates that the average abnormal returns on the day following the actual repurchases range from 0.032% (0.092%) to 1.33% (0.507%) over the sample period. (9) These are much smaller than the average market reaction to the initial repurchase intention announcements. All of these abnormal returns are statistically significant except for announcements in 2003. The results are robust as the t-statistics of Zellner's (1962) SUR account for the effect of heteroskedasticity across equations and contemporaneous con·tem·po·ra·ne·ous  
adj.
Originating, existing, or happening during the same period of time: the contemporaneous reigns of two monarchs. See Synonyms at contemporary.
 dependence in the disturbances.

The abnormal returns are predominantly pre·dom·i·nant  
adj.
1. Having greatest ascendancy, importance, influence, authority, or force. See Synonyms at dominant.

2.
 positive and the positive returns outnumber out·num·ber  
tr.v. out·num·bered, out·num·ber·ing, out·num·bers
To exceed the number of; be more numerous than.


outnumber
Verb

to exceed in number:
 the negative abnormal returns in all years except 2003. (10) This finding remains unchanged when we extend the test period to an 11-day window centered on repurchase execution announcements following Rees (1996). (11) The above results indicate that the actual share repurchase announcements convey favorable information to the market beyond that what is available in the initial repurchase intention announcements.

To further test the observed significant abnormal returns around actual share repurchases, Table IV reports the results partitioned par·ti·tion  
n.
1.
a. The act or process of dividing something into parts.

b. The state of being so divided.

2.
a.
 by Tobin's q, the size of the share repurchase, and the time lag since a previous repurchase. (12) We divide the 4,968 announcements into three groups and report their results separately in three panels and for two subsamples based on whether the time lag equals one or is greater than one. We further divide each panel into two subgroups according to whether the percentage of shares actually repurchased is greater or less than the median of the previous 12 months. Finally, we divide firms into two groups based on the results of Tobin's q: 1) those with high Tobin's q in one group and 2) those with low Tobin's q in the other. For each group of announcements partitioned by Tobin's q, repurchase size, and time lag, we test whether the average abnormal return is significantly different from zero. We test the free cash flow hypothesis by examining the difference in abnormal returns between announcements for firms with high and low Tobin's q, and test the information-signaling hypothesis by examining the difference in abnormal returns between announcements for large and small payouts.

Table IV demonstrates that consistent with the free cash flow hypothesis, the average abnormal returns on the day following share repurchases are higher for firms with lower Tobin's q in every panel and every group. (13) Differences in the average abnormal returns between firms with and without overinvestment problems are significant at the 1% level, except for the subsample sub·sam·ple  
n.
A sample drawn from a larger sample.

tr.v. sub·sam·pled, sub·sam·pling, sub·sam·ples
To take a subsample from (a larger sample).
 in which the repurchase announcements occur on the day following a previous announcement (i.e., when the time lag is one) and the repurchase size is smaller than the median. These findings suggest that the market welcomes cash payouts in the form of share repurchases by firms with overinvestment problems. Our results, however, do not support the information-signaling hypothesis, as larger repurchases do not appear to attract higher abnormal returns than do smaller ones. Interestingly, the market punishes share repurchases made by firms with high Tobin's q, both for larger repurchases on consecutive days and for smaller nonconsecutive repurchases. This negative relation between market reaction and Tobin's q is consistent with the argument that some firms forgo value-creating investment opportunities in order to repurchase shares (Marsh, 1990; Chung, Wright, and Charoenwong, 1998; Bens, Nagar
  • Nagar, Syria
  • Nagar, Jaiveer
  • Jaiveer, Nagar
  • Jaivir, Nagar
  • Nagar, Pakistan
  • Nagar Valley, Pakistan
  • Former State of Nagar in Pakistan
  • Nagar, Bangladesh
, and Wong, 2002). Future study is needed to determine whether managers tend to invest excess free cash flow in share buybacks instead of in profitable investment projects.

Table IV provides further evidence that supports the free cash flow hypothesis. First, firms with low (high) Tobin's q tend to announce repurchase sizes greater (smaller) than the median repurchases for the previous 12 months. The correlation between indicators of Tobin's q smaller than one and repurchase size greater than the median for the previous 12 months is 0.296, which is significant at the 1% level. Second, there is a longer time lag between announcements by firms with low Tobin's q, whereas announcements by firms with high Tobin's q tend to occur on the trading day following prior announcements. The correlation between indicators of Tobin's q smaller than one and a time lag equal to one is -0.238, which is significant at the 1% level.

The use of Tobin's q as the proxy for over- and underinvestment may surfer from the problem that most firms underinvest because the Tobin's q is close to the market-to-book ratio and tends to be greater than one. Although our measurement of Tobin's q is 96.6%, consistent with Tobin's q estimated by the more theoretically correct model of Lindenberg and Ross (1981) (see Chung and Pruitt, 1994), Table V reports the robustness of Table IV by separating the sample into three groups and testing the difference in abnormal returns between the highest and lowest q groups.

The results in Table V are somewhat weaker than those in Table IV but still support the free cash flow hypothesis in two different ways. First, a greater payout size seems to attract higher abnormal returns for the lowest q group. Second, the market welcomes (punishes) increases (decreases) in payout size for the low q group, when the time lag between consecutive announcements is fixed (i.e., a time lag equal to one). These findings indicate that the market reacts more favorably to greater cash payouts via repurchases made by firms with overinvestment problems. Table VI reports the descriptive statistics descriptive statistics

see statistics.
 and results for the cross-sectional OLS regression:

A [R.sub.i] = [[beta].sub.0] + [[beta].sub.1][QDUM.sub.i] + [[beta].sub.2][PSIZE.sub.i] + [[beta].sub.3][Q.sub.i] x [PSIZE.sub.i] + [[beta].sub.4][TLAG.sub.i] + [[epsilon].sub.i], (3)

where A [R.sub.i] is firm i's abnormal return on the day of the actual share repurchase, estimated from Gibbons' (1982) MVRM; [QDUM.sub.i] is a dummy variable equal to 1 if Tobin's q is smaller than one, and 0 otherwise; [PSIZE.sub.i] is a dummy variable equal to 1 if the repurchase size is greater than the median over the past 12 months, and 0 otherwise; [Q.sub.i] x [PSIZE.sub.i] is the interaction of [QDUM.sub.i] and [PSIZE.sub.i]; and [TLAG.sub.i] is the log of the number of trading days since a prior announcement.

Table VI demonstrates that [Q.sub.i] x [PSIZE.sub.i] is highly correlated with [QDUM.sub.i], and the Pearson correlation between the two variables is 0.808, which is significant at the 1% level. The correlation between [Q.sub.i] x [PSIZE.sub.i] and [PSIZE.sub.i] is also high and significant. A high correlation between regressors inflates standard errors, reducing the significance levels of the three variables [Q.sub.i] x [PSIZE.sub.i], [QDUM.sub.i], and [PSIZE.sub.i]. To mitigate collinearity collinearity

very high correlation between variables.
 problems, we drop [Q.sub.i] x [PSIZE.sub.i] from one of the five regressions in Table VI and report this result under Model 1.

To avoid possible missing variables, we add three groups of control variables in the regression. First, Model 3 includes 471 dummy variables to identify 472 firm-years with share repurchases. Because a firm tends to make more than one share repurchase in a year, unknown firm characteristics are likely to affect the market reactions in that year. In addition to the firm-year dummy, five dummies are included in Model 4 to identify six calendar years in the sample period. Finally, if previous repurchases contain more information than do subsequent repurchases, then the sequence of announcements is important. Therefore, in Model 5, we assign a sequence of dummy variables to every announcement subsequent to the first announcement in a firm-year. A maximum of 133 announcements by the same firm occurs in a firm-year. With more control variables, the adjusted [R.sup.2] increases considerably from 0.01 in Models 1 and 2 to 0.04 or 0.05 in Models 3 to 5.

The cross-sectional OLS regression reported in Table VI shows that [TLAG.sub.i] is positive and significant, suggesting that the market responds more favorably the longer the time has elapsed since a previous buyback. This positive coefficient coefficient /co·ef·fi·cient/ (ko?ah-fish´int)
1. an expression of the change or effect produced by variation in certain factors, or of the ratio between two different quantities.

2.
 also implies that the actual share repurchase announcements can convey new information to the market in addition to that contained in repurchase intention announcements. However, nearly half (48.19%) of the 4,968 announcements occur one trading day following a previous announcement (i.e., there are 2,394 [TLAG.sub.i] equal to 0; the average time lag in trading days is 18.3). Because observations in the regression are individual announcements, the overall results suggest that when firms make consecutive buybacks, there is less information content.

Table VI also provides clear evidence to support the free cash flow hypothesis through the proxy for investment problems. [QDUM.sub.i], the proxy for firms with overinvestment problems, is equal to one when Tobin's q < 1 and is positive and highly significant in all the five models. This implies that cash payouts by overinvesting firms are viewed positively by shareholders as the actual share repurchases curb value-destroying investment activities. Moreover, the coefficient for [Q.sub.i] x [PSIZE.sub.i] is positive, indicating that the market reacts more favorably to announcements with greater repurchase size only when firms have overinvestment problems. (14)

Overall, our empirical evidence suggests that actual share repurchases provide information beyond that what is available in the initial repurchase intention announcements and that they increase firm value by reducing the agency costs of excessive free cash flow. We do not find evidence supporting the information-signaling hypothesis because [PSIZE.sub.i] appears to be negatively associated with abnormal returns on the day following the announcement day.

V. Conclusion

We examine the market reaction to announcements of actual share repurchases in order to investigate how market participants respond to the actual share repurchases after the initial repurchase intention announcements. To extend previous studies, we use a modified multivariate regression model to address issues of repurchase announcement clustering. We use actual share repurchases disclosed by UK firms from September 1997 to July 2003 to obtain accurate details of cash payouts, repurchase timing, and size. Our empirical results support the free cash flow hypothesis. We find that the average market reaction to actual share repurchase announcements is positive and significant for firms with overinvestment problems, as indicated by their low Tobin's qs.

Our results do not support the information-signaling hypothesis because larger payouts for actual share repurchases do not convey more favorable information to the market. Further, we find that the market actually penalizes firms with high Tobin's qs when they make consecutive repurchases and that the penalty increases with the size of the repurchases. The penalty for the greater payouts of high Tobin's q firms suggests that the market perceives managers as being financially negligent negligent adj., adv. careless in not fulfilling responsibility. (See: negligence)  because they are shifting resources that could be used for profitable investments into share repurchases.

This study demonstrates a new way to test the market reaction to events clustering both within and across firms. In addition, this study raises several questions for future research. First, it is unclear why UK firms execute repurchases consecutively when the market reacts more favorably to isolated announcements. Second, it is unclear why UK firms with high Tobin's qs continue to buy back their own shares when this action appears to be economically detrimental det·ri·men·tal  
adj.
Causing damage or harm; injurious.



detri·men
. Finally, share repurchases, under some circumstances CIRCUMSTANCES, evidence. The particulars which accompany a fact.
     2. The facts proved are either possible or impossible, ordinary and probable, or extraordinary and improbable, recent or ancient; they may have happened near us, or afar off; they are public or
, trigger negative abnormal returns. This is a phenomenon that neither the information-signaling nor the free cash flow hypotheses can explain.

We appreciate the helpful comments from Bill Christie (the editor), an anonymous referee A judicial officer who presides over civil hearings but usually does not have the authority or power to render judgment.

Referees are usually appointed by a judge in the district in which the judge presides.
, and participants at the University of Manchester The University of Manchester is a university located in Manchester, England. With over 40,000 students studying 500 academic programmes, more than 10,000 staff and an annual income of nearly £600 million it is the largest single-site University in the United Kingdom and receives . Wang acknowledges the financial support from the National Science Council. Taiwan (NSC NSC
abbr.
National Security Council

Noun 1. NSC - a committee in the executive branch of government that advises the president on foreign and military and national security; supervises the Central Intelligence Agency
 95-2416-H-002-060). Any remaining errors are our own.

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(1) Using Canadian Canadian (kənā`dēən), river, 906 mi (1,458 km) long, rising in NE New Mexico. and flowing E across N Texas and central Oklahoma into the Arkansas River in E Oklahoma.  data, Ikenberry, Lakonishok, and Vermaelen (2000) demonstrate that firms experience large price increases at the time of repurchase intention announcements even when the shares are not subsequently repurchased.

(2) In addition to the uncommitted nature and nonstandard non·stan·dard  
adj.
1. Varying from or not adhering to the standard: nonstandard lengths of board.

2.
 structure of US repurchase intention announcements, the mixed results regarding share repurchases may also be attributable to the tendency of firms to mimic the repurchase intention announcements of their competitors (see Massa, Rehman, and Vermaelen, 2007).

(3) Rau and Vermaelen (2002) argue that Rees' (1996) results are not comparable to the 3.5% positive abnormal return around repurchase intention announcements found for US firms because UK firms implement repurchase programs through actual repurchases spread over several weeks or months.

(4) When measuring distinct abnormal returns on each announcement day, we let n equal 1, 2, ..., [S.sub.i], which is the number of announcements by firm i during the data period, and [D.sub.i,n,t] equal 0 if day t is the nth announcement of firm i. However, we cannot apply this method to find distinct abnormal returns on the announcement day and on the following day for each announcement because a firm may make repurchase execution announcements on consecutive trading days. The dummy variable identifying the second announcement is identical to the dummy variable identifying the day following the first announcement. We measure average abnormal returns over a two-day event period (the announcement day and the following day) for each announcement to confirm the robustness of our results.

(5) It is, here, an average abnormal return as a firm may have made more than one repurchase execution announcement during the data period.

(6) This argument does not exclude the possibility that firms that do not have overinvestment problems still make actual share repurchases. However, the free cash flow hypothesis predicts that the market reacts negatively (positively) to repurchase announcements by firms without (with) overinvestment problems.

(7) We also calculate two adjusted forms of Tobin's q: an industry- and a market-adjusted Tobin's q. The industry- adjusted Tobin's q is the ratio of the unadjusted Tobin's q to the industry median of the non-repurchasers' Tobin's q in the announcement year. Industry groups correspond to Datastream's Level 4 industrial classification. Similarly, the market- adjusted Tobin's q is the ratio of the unadjusted Tobin's q to the market median of non-repurchasers' Tobin's q. We do not present the robustness checks, but the results are consistent and available upon request.

(8) We lose 532 announcements occurring in the first 12 months (September 1997 to August 1998) of the sample period because they have no comparison benchmark. We use two other measures of unexpected cash payout. First, we use the total percentage of shares repurchased as the unexpected change in cash payout. Second, we measure the difference in percentage of outstanding shares repurchased between one announcement and the previous announcement for the same firm. The results from these different payout measures are similar and available on request.

(9) We separate the sample period into seven calendar years, 1997-2003, to avoid missing observations. In SUR, each regression equation Regression equation

An equation that describes the average relationship between a dependent variable and a set of explanatory variables.
 in a system needs to have the same number of observations. If one of the regression equations has a missing value, SUR takes the corresponding observations of the other regression equations as missing. We exclude 224 announcements by 17 firms because of insufficient return data.

(10) Many factors may contribute to the exceptional results in 2003. First, the time lag between consecutive announcements is shorter in 2003 than in other years, and it bas been found that the information content increases as the time lag between consecutive announcements increases (Rees, 1996). Second, firms may have had more investment opportunities in 2003 than in other years. The average daily return of the FTSE All-Share Index is positive in 2003, but is negative in the previous three years. Third, repurchase behavior in 2003 may be different from that in the other years due to the expectation that shares repurchased after December 1, 2003 could be held as treasury shares for resale resale n. selling again, particularly at retail. In many states a "resale license" or "resale number" is required so that the state can monitor the collection of sales tax on retail sales.


RESALE.
.

(11) We do not report these robustness cheeks here, but they are available upon request.

(12) Note that 532 announcements occur in the first 12 months (September 1997 to August 1998) of the sample period and are excluded as there is no comparison benchmark.

(13) Table IV also indicates a large percentage (75.87%) of actual share repurchases made by firms with good investment opportunities (i.e., Tobin's q > 1). With profitable investment opportunities, these firms do not appear to have excess cash flow to return to shareholders via share repurchases. However, firms may repurchase shares for many reasons (see Dittmar, 2000). That high-q firms buy back their own shares does not contradict con·tra·dict  
v. con·tra·dict·ed, con·tra·dict·ing, con·tra·dicts

v.tr.
1. To assert or express the opposite of (a statement).

2. To deny the statement of. See Synonyms at deny.
 the free cash flow hypothesis, which predicts a positive (negative) market reaction to cash payouts of overinvesting (underinvesting) firms.

(14) The sum of the coefficients for PSIZE and Q. PSIZE is insignificant (t = 0.480). This, together with the significantly positive coefficient for QDUM, suggests that a cash payout per se creates value, but the size of payout does not matter for overinvesting firms. A possible explanation is that a cash payout per se represents the concession of managers to overinvestment problems. However, the size of the payout is less important for low q firms since firms can repurchase more shares on the open market any time.

Chuan-San Wang, Norman Strong, Samuel Tung, and Steve Lin, Chuan-San Wang is an Assistant Professor of Accounting at the National Taiwan University in Taipei, Taiwan. Norman Strong is a Professor of Finance at the University of Manchester in Manchester, UK. Samuel Tung is a Professor of Accounting at National Taiwan University in Taipei. Taiwan. Steve Lin is an Associate Professor of Accounting at the Florida International University Florida International University, primarily at University Park, Miami; coeducational; chartered 1965, opened 1972. A research university, it has 18 colleges and schools and many specialized centers and institutes, including those in biomedical engineering, database  in Miami, FL.
Table I. Summary of Sample Selection Screening Results

This table summarizes the sample selection criteria and
associated sample size. The sample period is from
September 1, 1997 to July 31, 2003.

                                           Number of       Number of
                                         Announcements       Firms

Original data from company REFS              9,020             494
Less:
  Not ordinary share repurchases               183              26
  No announcement date                           1           1 (a)
  No repurchase price or volume data            17          11 (b)
  No Datastream code                           274               2
  Investment trusts                            634              62
  Implausible reported trading prices        1,836           67 (c)
Subtotal                                     6,075              335
Less:
  Combined multiple announcements              337          112 (d)
Less:
  No return and/or accounting data             238               19
Final sample                                 5,500              316

(a) This firm makes an announcement to correct a previous announcement.

(b) Nine of these firms make 14 announcements to correct or supplement
their previous announcements.

(c) The ratio of the repurchase price per share to the unadjusted
closing price on the announcement day is outside the range of
0.8772 to 1.0874.

(d) Different announcements released by the same firms on the same
days.

Table II. Distributions of Sample Firms, Trading Days, and
Announcements

This table reports the distribution of 5,500 repurchase execution
announcements (events) released by 316 firms over the period from
September 1, 1997 to July 31, 2003 (1,494 trading days). Column 1
indicates the number of events or time lag in the days referred
to in columns 2-4. Column 2 reports the distribution of 316 firms
based on number of announcements over the sample period. Column 3
reports the distribution of 5,500 announcements based on the time
lag, which is the number of trading days since a prior announcement.
Column 4 reports the distribution of trading days during
the sample period based on the number of announcements on the
same day.

                   Firms with     Events with       Days with
                   Different      Time Lags of      Different
                    Numbers     Different Numbers    Numbers
Number             of Events         of Days        of Events

0                      --           316 (5.74%)     155 (10.3%)
1                  61 (19.3%)     2,469 (44.8%)     260 (17.4%)
2                  30 (9.49%)       708 (12.8%)     228 (15.2%)
3                  29 (9.17%)       335 (6.09%)     211 (14.1%)
4                  16 (5.06%)       213 (3.87%)     166 (11.1%)
5                  17 (5.37%)       134 (2.43%)     118 (7.89%)
6                  11 (3.48%)       116 (2.10%)     111 (7.42%)
7                  14 (4.43%)        75 (1.36%)      74 (4.95%)
8                  11 (3.48%)        73 (1.32%)      48 (3.21%)
9                   7 (2.21%)        63 (1.14%)      42 (2.81%)
[greater than or  120 (37.9%)       998 (18.1%)      81 (5.42%)
  equal to] 10
Total                 316             5,500           1,494

Table III. Average Abnormal Returns on the Day Following the Actual
Share Repurchases

This table reports the results of seemingly unrelated regressions for
a system of M equations (the number of firms) for each year from 1997
to 2003. Each of the M equation is [R.sub.it] = [[alpha].sub.i] +
[[beta].sub.i] [R.sub.mt] + [b.sub.i0][D.sub.i,0,t] +
[b.sub.i1][D.sub.i,1,t] + [[epsilon].sub.it] where [R.sub.it] and
[R.sub.mt] are the daily returns on firm i and on the FTSE All-Share
Index, and [D.sub.i,0,t] ([D.sub.i,1,t]) is a dummy variable equal to
1 if day t is a repurchase execution announcement day (the following
day) of firm i, and 0 otherwise. The average coefficients are in
percentages. The numbers in parentheses are the t-statistics from
seemingly unrelated regressions that incorporate heteroskedasticity
across equations and contemporaneous dependence in the disturbances.

Year    No. of   No. of   No. of   Estimates of [b.sub.0]
        Firms    Events    Days
                                    Average      Percent
                                    Estimate     Positive

1997        25       87       86    1.334 ***      73.08
                                   (5.41)
1998        95      430      252    0.349 ***      51.58
                                   (2.70)
1999        91      766      252    0.288 **       59.34
                                   (2.16)
2000       133    1,167      252    0.17 **        53.38
                                   (2.05)
2001        81      806      253    0.421 ***      49.38
                                   (3.24)
2002       100    1,347      252    0.218 **       55.00
                                   (2.27)
2003        88      911      147    0.032          39.77
Total             5,514    1,494   (0.35)

Year     Estimates of [b.sub.0]    Estimates of [b.sub.1]

        Percent Significant at 5%   Average      Percent
                                    Estimate     Positive
         Positive     Negative

1997      30.77         3.85        0.507 **       57.69
                                   (2.26)
1998      18.95        11.58        0.442 ***      57.89
                                   (3.42)
1999      17.58         8.79        0.387 ***      59.34
                                   (2.92)
2000      22.56        11.28        0.315 ***      61.65
                                   (3.82)
2001      18.52        12.35        0.127          56.79
                                   (0.98)
2002      30.00        15.00        0.395 ***      69.00
                                   (4.09)
2003      20.45        23.86        0.092          47.73
Total                              (0.97)

Year    Estimates of [b.sub.1]     [b.sub.0] +
                                   [b.sub.1]
        Percent Significant at 5%
                                   Average
         Positive     Negative     Estimate

1997      11.54         0.00        1.842 ***
                                   (5.83)
1998      12.63         8.42        0.790 ***
                                   (4.43)
1999      15.38         9.89        0.675 ***
                                   (3.72)
2000      15.79         8.27        0.485 ***
                                   (4.39)
2001      19.75        11.11        0.548 ***
                                   (3.08)
2002      26.00        13.00        0.613 ***
                                   (4.63)
2003      10.23        11.36        0.124
Total                              (0.95)

*** Significant at the 0.01 level.

** Significant at the 0.05 level.

Table IV. One-Day Abnormal Returns for Groups Partitioned by Tobin's q
(Two-Group), Repurchase Size, and Time Lag

This table reports the results of 4,968 abnormal returns partitioned
by Tobin's q, repurchase size, and time lag. The abnormal returns are
relative to a set of market models with the dummy variables
identifying announcement days in the period from September 1, 1997 to
July 31, 2003. Tobin's q is the ratio of the market value of equity
one day before the announcement plus the book value of other
securities to the book value of total assets at the year-end before
the announcement. Repurchase size is the ratio of shares repurchased
to outstanding shares one day before the announcement relative to the
median over the previous 12 months. Time lag is the number of trading
days since a prior repurchase execution announcement. This table
reports the average percentage abnormal returns with the number of
observations in parentheses. The test of significance is based on a
two-tailed t-test.

                      All           Repurchase Size
                  Observations        Relative to
                                    12-Month Median
                                                           Large -
                                 > Median     < Median     Small

                  Panel A. All Announcements

q < 1.0            0.342 ***      0.352 ***    0.317 ***    0.036
                  (1,199)         (855)        (344)
q > 1.0           -0.123 ***     -0.238 ***   -0.057       -0.181 **
                  (3,769)        (1,389)      (2,380)
Difference (low
  q - high q)      0.465 ***      0.590 ***    0.373 ***

                  Panel B. Time Lag = 1

q < 1.0            0.438 ***      0.488 ***    0.350        0.137
                   (325)          (208)        (117)
q > 1.0           -0.138 ***     -0.506 ***   0.016        -0.522 ***
                  (2,069)        (608)        (1,461)
Difference (low
  q - high q)      0.576 ***      0.994 ***    0.335

                  Panel C. Time Lag > 1

q < 1.0            0.306 ***      0.309 ***    0.299 **     0.010
                   (874)          (647)        (227)
q > 1.0           -0.106 *       -0.029       -0.171 **     0.142
                  (1,700)         (781)        (919)
Difference (low
  q - high q)      0.412 ***      0.338 ***    0.470 ***

*** Significant at the 0.01 level.

** Significant at the 0.05 level.

* Significant at the 0.10 level.

Table V. One-Day Abnormal Returns for Groups Partitioned by Tobin's
q (Three-Group), Repurchase Size, and Time Lag

This table reports the results of 4,968 abnormal returns partitioned
by Tobin's q, repurchase size, and time lag. The abnormal returns
are relative to a set of market models with the dummy variables
identifying the announcement days in the period from September 1,
1997 to July 31, 2003. Tobin's q is the ratio of the market value
of equity one day before the announcement plus the book value of
other securities to the book value of total assets at year-end before
the announcement. Repurchase size is the ratio of shares repurchased
to outstanding shares one day before the announcement relative to the
median over the previous 12 months. Time lag is the number of trading
days since a prior repurchase execution announcement. The table
reports the average percentage abnormal returns with the number of
observations in parentheses. The test of significance is based on a
two-tailed t-test.

                                          All
                                      Observations

Panel A. All Announcements

Lowest q                                0.134 **
                                       (1,656)

Median q                               -0.112 *
                                       (1,656)

Highest q                              -0.055
                                       (1,656)

Difference (lowest q - highest q)       0.189 **

Panel B. Time Lag = 1

Lowest q                                0.022
                                         (573)

Median q                               -0.225 ***
                                         (806)

Highest q                               0.026
                                       (1,015)

Difference (lowest q - highest q)      -0.004

Panel C. Time Lag > 1

Lowest q                                0.193 ***
                                       -1,083

Median q                               -0.005
                                         (850)

Highest q                              -0.184 **
                                         (641)

Difference (lowest q - highest q)       0.378 ***

                                      Repurchase Size Relative
                                         to 12-Month Median

                                      > Median         < Median

Panel A. All Announcements

Lowest q                                0.210 ***        0.012
                                       (1,017)            (639)

Median q                               -0.207 ***       -0.023
                                         (803)            (853)

Highest q                              -0.182           -0.012
                                         (424)          (1,232)

Difference (lowest q - highest q)       0.393 ***        0.024

Panel B. Time Lag = 1

Lowest q                                0.225           -0.145
                                         (258)            (315)

Median q                               -0.622 ***        0.049
                                         (329)            (477)

Highest q                              -0.261 *          0.110
                                         (229)            (786)

Difference (lowest q - highest q)       0.486 **        -0.255 *

Panel C. Time Lag > 1

Lowest q                                0.205 **         0.165
                                         (759)            (324)

Median q                                0.082           -0.113
                                         (474)            (376)

Highest q                              -0.090           -0.225 **
                                         (195)            (446)

Difference (lowest q - highest q)       0.296            0.390 ***

                                      Difference
                                      Large--Small

Panel A. All Announcements

Lowest q                                0.198 *

Median q                               -0.184

Highest q                              -0.171

Difference (lowest q - highest q)

Panel B. Time Lag = 1

Lowest q                                0.370 *

Median q                               -0.670 ***

Highest q                              -0.370 **

Difference (lowest q - highest q)

Panel C. Time Lag > 1

Lowest q                                0.040

Median q                                0.195

Highest q                               0.135

Difference (lowest q - highest q)

*** Significant at the 0.01 level.

** Significant at the 0.05 level.

* Significant at the 0.10 level.

Table VI. Descriptive Statistics and Regression Analysis of
Abnormal Returns

Panel A reports the Pearson correlation coefficients, means,
medians, and standard deviations (SD) of explanatory variables
and Panel B reports the results of the regression:

[AR.sub.i] = [[beta].sub.0] + [[beta].sub.1][QDUM.sub.i] +
[[beta].sub.2][PSIZE.sub.i] + [[beta].sub.3]3Q x [PSIZE.sub.i] +
[[beta].sub.3]3[TLAG.sub.i] + [[epsilon].sub.i].

where [AR.sub.i] is the abnormal return on the announcement day
of an actual share repurchase estimated from Gibbons' (1982)
MVRM; [QDUM.sub.i] is a dummy variable equal to 1 if Tobin's q is
smaller than 1, and 0 otherwise; PSIZE, is a dummy variable equal
to 1 if the percentage of outstanding shares repurchased in an
announcement is greater than the median over the previous 12
months, and 0 otherwise; [Q.sub.i] - PSIZE, is the product of
[QDUM.sub.i] and [PSIZE.sub.i]; and [TLAG.sub.i] is the log of
the number of trading days since a prior announcement. The
firm-year (calendar year) dummy identifies the announcement(s) in
different firm-years (calendar year). The sequence dummy
identifies the order of a firm's several announcements in a
firm-year. The regression has 4,968 observations. Numbers in
parentheses are the t-statistics.

Panel A. Descriptive Statistics

                        PSIZE       Q x PSIZE       TLAG

QDUM                  0.296 ***     0.808 ***     0.271 ***
PSIZE                 1             0.502 ***     0.283 ***
Q x SIZE                            1             0.281 ***
TLAG                                              1

Panel B. Regression Analysis of Announcement-Day Abnormal Returns

Regressor            Predicted
                        Sign           (1)           (2)

Intercept                           -0.126 ***     -0.108 **
                                   (-2.68)        (-2.23)
QDUM                  [+ or -]       0.452 ***      0.317 **
                                    (5.61)         (2.40)
PSIZE                 [+ or -]      -0.189 ***     -0.236 ***
                                   (-2.72)        (-3.02)
Q x PSIZE             [+ or -]                      0.213
                                                   (1.3)
TLAG                      +          0.083 ***      0.082 ***
                                    (3.61)         (3.60)
471 firm-year
  dummies
5 calendar-year
  dummies
132 sequence-order
  dummies
[R.sup.2]                            0.011         0.011
Adjusted [R.sup.2]                   0.010         0.011
F-stat.                             18.39 ***     14.21 ***

                        Mean         Median          SD

QDUM                  0.241 ***     0.000 ***       0.428
PSIZE                 0.452 ***     0.000 ***       0.498
Q x SIZE              0.172 ***     0.000 ***       0.378
TLAG                  1.103 ***     0.693 ***       1.498

Panel B. Regression Analysis of Announcement-Day Abnormal Returns

                        Model
Regressor
                         (3)           (4)           (5)

Intercept              -1.907 *       -1.854        -1.843
                      (-1.66)        (-1.37)       (-1.59)
QDUM                    1.086 ***      1.100 ***     1.055 ***
                       (3.75)         (3.79)        (3.63)
PSIZE                  -0.346 ***     -0.351 ***    -0.357 ***
                      (-3.43)        (-3.45)        (3.49)
Q x PSIZE               0.183          0.177         0.225
                       (0.89)         (0.86)        (1.09)
TLAG                    0.072 **       0.071 **      0.057 *
                       (2.51)         (2.5)         (1.81)
471 firm-year            Yes           Yes           Yes
  dummies
5 calendar-year                                      Yes
  dummies
132 sequence-order                                   Yes
  dummies
[R.sup.2]              0.140         0.140         0.167
Adjusted [R.sup.2]     0.049         0.048         0.051
F-stat.                1.53 ***      1.52 ***      1.44 ***

*** Significant at the 0.01 level.
** Significant at the 0.05 level.
* Significant at the 0.10 level.
COPYRIGHT 2009 Financial Management Association
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Author:Wang, Chuan-San; Strong, Norman; Tung, Samuel; Lin, Steve
Publication:Financial Management
Article Type:Report
Geographic Code:4EUUK
Date:Sep 22, 2009
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