Journal of Financial Economics 11 (1983) 401438. ON CORPORATE North-Holland Publishing Company GOVERNANCE A Study of Proxy Contests* Peter DODD University of Chicago, Chicago, IL 60637, USA Jerold B. WARNER University Received of Rochester, October Rochester, 1981, final version NY 14627, USA received June 1982 This paper examines a sample of firms experiencing proxy contests for seats on their board of directors. Dissident shareholders usually fail to obtain a majority of board seats. Nevertheless, they capture some seats, via mechanisms such as cumulative voting, in over half of the sample contests. Regardless of proxy contest outcome, positive and statistically significant share price performance is associated with the contest. That finding is predicted by the standard economic analysis of proxy contests, in which the challenges benefit shareholders by improving corporate performance. The finding runs counter to the claim of Berle (1962) that the economists’ view of proxy contests is ‘a wholly imaginary picture’. A portion of the positive share price changes taking place in the early stages of some proxy contests is not permanent, however, and as suggested by Manne (1962) is at least partially attributable to temporary increases in the market value of the vote attached to corporate shares. 1. Introduction and summary Proxy contests are dramatic events for corporations. They occur when one group, referred to as ‘dissidents’ or ‘insurgents’, attempts to obtain seats on the firm’s board of directors currently in the hands of another group, referred to as ‘incumbents’ or ‘management’. Since some board members are often the firm’s top officers, the terms incumbent and management are typically used interchangeably. Proxy contests have clear implications for the incumbent board, representing a threat to its continued employment and influence in *Financial support for this research is provided to both authors by the Managerial Economics Research Center at the University of Rochester and to Dodd by the Institute of Professional Accounting at the University of Chicago. We are grateful to Gary Tuttle and Stephen Walsh of the New York Stock Exchange and especially William Chatlos of Georgeson and Company for helpful discussions and for providing some of the data on which this study is based, and to Prem Jain for superb computational assistance. We also thank for their comments on previous drafts G. Benston, M. Bradley, P. Brown, A. Christie, F. Easterbrook, E. Fama, R. Hohhausen, M. Jensen, A. Kleidon, R. Leftwich, J. Long, W. Marshall, W. Meckling, R. Roll, M. Scholes, C. Smith, R. Stulz, L. Wakeman, R. Watts, J. Zimmermann, and the paper’s two referees, W. Mikkelson and K. Scott. 0304-405x/83/$03.00 0 Elsevier Science Publishers P. Dodd and J.B. Warner, Proxy contests 402 the corporation. The implications for stockholder wealth are not so obvious, however. There are divergent views on this question, but to date there is a singular lack of empirical evidence. This paper examines proxy contests among firms listed on the New York and American Stock Exchanges in the years 1962 to 1978. The general picture that emerges is one of positive share price performance associated with election contests for board seats. This result holds both for contests where the dissidents fail to capture majority control of the board and for those where a majority of the incumbents are ousted. Such evidence provides a basis for distinguishing between competing alternative explanations of proxy contests appearing in the literature. In addition, another striking result is discovered: there is evidence of systematically negative abnormal returns during part of the period following published contest announcement but prior to published election outcome announcement. This result is seemingly inconsistent with semi-strong form market efficiency, and possible explanations for it are explored. In the next section, the mechanics of proxy contests are outlined. Section 3 discusses alternative explanations of proxy contests, and their testable implications. The sample of proxy contests is discussed in section 4, together with a brief description of the methodology for examining share price performance. The paper’s major results are presented in section 5, and considered in further detail in section 6. Our conclusions are presented in section 7. An appendix contains a more detailed description of the paper’s methodology. 2. Proxy contests: The mechanics The legal authority for management and direction of a corporation rests with the board of directors, which is required to supervise the general course of the business, and to use its powers in the best interests of the corporation. The board can delegate responsibility for the day-to-day operations of the company to appointed officers, and has the right to remove and replace the officers.’ A proxy contest is a mechanism by which shareholders can change the tit-m’s board. If the board ‘controls’ the firm, then board changes effected by a proxy contest can represent changes in the control of the firm. There are two features of the actual proxy contest process whose understanding will later be useful: the solicitation of the proxies and the tabulation of votes. 2.1. The solicitation of proxies A proxy contest typically begins in the months prior to the firm’s annual meeting, at which time a board of directors must be elected by a vote of the ‘For a discussion of the powers of the board of directors, see Cary (1969) P. Dodd and J.B. Warner, Proxy contests 403 firm’s stockholders.’ During the contest, stockholders are asked to select between two opposing sets of nominees for board seats. The outside group, the dissidents, initiates a campaign in opposition to incumbent management and solicits votes from stockholders for its alternative slate of director nominees. Both dissidents and incumbents seek votes from shareholders in a manner similar to a political campaign. They forward proxy solicitation materials to stockholders, who in turn sign and return the proxy form of the preferred group, authorizing the agents nominated in the form to vote the shares. The agents for each group accumulate votes via the returned proxies and cast these votes at the shareholders’ meeting. 2.2. The tabulation of votes The group obtaining a majority of the votes will generally elect a majority of the directors. The specific allocation of directors between incumbents and dissidents depends upon the method of voting. The two alternative methods in use in the United States are non-cumulative (or ‘straight’) voting and cumulative voting.3 In non-cumulative voting, each director position is treated as a separate election. Proxy-holders are entitled to cast votes, equal to the number of shares for which proxies are held, for each director position. Since the successful nominee for each position is the one attracting the majority of votes, non-cumulative voting usually precludes minority interests from electing any directors4 In contrast, cumulative voting does permit minority interests to elect a minority of the directors. Proxy-holders are entitled to cast, in total, votes equal to the number of shares for which proxies are held multiplied by the number of directors. All votes may be cast for a single director position, or the votes may be distributed across positions in any way. The nominees from both incumbents and dissidents are ranked in descending order according to the number of votes received, and the required number of directors elected from this ranking.5 *An annual election is typically required by the mm’s certificate of incorporation or by-laws. See Aranow and Einhorn (1968) for a detailed description of proxy contests. ‘The number of directors is typically determined by the company by-laws. The voting method to be used in a specific election is determined by both the corporation laws of the state of incorporation and the provisions of the company by-laws or articles of incorporation. “There is an exception: those holding the majority of votes can concede seats by failing to nominate candidates for every position. In the sample of proxy contests discussed below, there are such cases. ‘The workings of these alternative voting mechanisms example, taken from Aranow and Einhorn (1968, p. 331): can best be illustrated with a simple Assume there exists a corporation with 10,000 shares of stock outstanding. Control of the stock is divided 6,500 shares for management and 3,500 shares for an insurgent stockholders’ committee. Five directors are to be elected, and each group has nominated five candidates. P. Dodd and J.B. Warner, Proxy contests 404 3. Proxy contests and corporate control Proxy contests have been subject to little close scrutiny by economists. It is not uncommon for economists to include proxy contests with mergers and tender offers and argue that they are initiated when incumbent management fails to maximize the market value of the tirm.6 However, with the exception of Manne (1962,1965), the ‘standard economic analysis’ of proxy contests such as that found in some textbooks is limited, often making no attempt to differentiate proxy contests from takeovers, or to specify the incentives of the dissidents to initiate these challenges. A complete theory explaining why and when proxy contests occur is beyond the scope of this paper. It is possible, however, to utilize some of the limited discussions of proxy contests that have appeared, together with recent work on the theory of the firm, to establish a framework for understanding the possible effect of such challenges on share prices. 3.1. The corporate board and the discipline of external markets Borrowing from the analyses of Alchian and Demsetz (1972), Posner (1972), Jensen and Meckling (1976) and Fama (1980), firms can be viewed as ‘legal fictions which serve as a nexus for a set of contracting relationships among individuals’.’ Stockholders are risk-bearers who provide capital to the firm, and residual claimants who receive the output remaining after the other factors have been compensated. They are concerned that the inputs are combined efficiently and that the outputs are distributed appropriately. The individual stockholder is generally not knowledgeable about the business of the firm and will have investments diversified across a number of firms. Thus, the board of directors serves to oversee and monitor the decision-making of Under straight voting, the management could cast 6,500 votes each for its five candidates, and the insurgents could cast 3,500 votes for each of its candidates. All live of the management nominees would be elected. Now, if cumulative voting was permitted, management would have 32,500 votes (6,500 x 5) and the insurgents would have 17,500 votes (3,500 x 5). If each faction cumulated its votes properly, management should elect only three of its nominees and the representation on the insurgents should elect two of its nominees, thereby securing minority board of directors. Votes per candidate Management Total votes Management Insurgents 32,500 17,500 Insurgents’ nominees A B C 10,835 10,833 10,832 %ee, for example, Hirschleifer (1976, pp. 23&231), ‘Jensen and Meckling (1976, p. 310). D G EF 8,751 Van Horne nominees 8,749 (1980, p. 587). H I J P. Dodd and J.B. Warner, Proxy contests 405 professional managers. As Fama points out, the board can be made up of representatives or agents for each of the various factors but it is usual to find both top management and outside directors (agents of the stockholders) being included. Although the board is intertwined with the management, it is in principle required to reorder and replace management when the firm is being relatively poorly run. The proxy contest can be regarded as a device to instigate a change in corporate management when the board has failed to respond to pressure for such a change. Rather than replace only the top managers, a successful proxy contest achieves a wholesale change by replacing the board as well. Furthermore, it is quite conceivable that the initiative for the contest be generated not just by shareholders, but also by alternative managers or directors, from inside or outside the firm, who are unable to convince the board to dismiss the incumbent officers. As such, proxy contests represent another form by which the managerial labor market, whose role is emphasized by Fama, operates to discipline corporate managers. In the range of possible disciplinary actions, the proxy contest lies somewhere between a board dismissal of management and an outside takeover by another corporation. 3.2. Testable propositions about observed proxy contests In the above scenario, as well as in the standard economic analysis of proxy contests, the contests are a way of transferring corporate resources to higher valued uses. Thus, it is usually inferred that shareholders’ claims will be permanently revalued upward at the time of a proxy contest.8 That inference is an important testable proposition for this paper to examine. However, the analysis upon which it is based fails to capture several potentially important aspects of a proxy contest. First, even if the total value of the board’s and the shareholders’ claims is increased by a proxy contest, it is not obvious how the ‘gains’ accrue to or are split by these parties.9 aSee, for example, McKenzie and Tullock (1978, p. 409) or Manne (1962, p. 412). Note that in Mature’s analysis, part of the upward revaluation is not permanent, but is due to temporary increases in the market value of the vote attached to corporate shares. The testable implications of Manne’s ‘value of the vote’ analysis are ignored for the moment, but will be discussed in detail in section 6.2. 9Tf, for example, there is a unique synergy between the managerial talents of the dissident team and the assets of the firm, then it is hard to predict the outcome from the bargaining process involving such a bilateral monopoly. Note that in the case of dissidents, the possibility of sharing in the synergy (and earning higher compensation than that available in the next best alternative) would provide an incentive to wage the contest. In the case of shareholders who thought their vote would ‘matter’ to the contest outcome, the possibility of getting some of the benefits from the new management team via a higher share price - provides a similar incentive to vote dissidents in. Moreover, while the incentive for ‘small’ shareholders to vote at all is not clear, it should be mentioned that actual contests involve extensive canvassing of 406 P. Dodd and J.B. Warner, Proxy contests Second, the whole notion that the total value of management’s and shareholders’ claims increases has itself been called into question. Berle (1962, p. 439) for example, dismisses the view that proxy contests assist in the efficient channeling of corporate resources. He argues that proxy contests are ‘singularly uninspiring as a rule . . . and . . . quite obviously sheer struggles between two tycoons for power’. Although the Berle argument is not specified in much detail, one interpretation is that dissidents merely compete for the right to run (and extract resources from) a firm whose total cash flows are independent of board composition. If this is the case, and if dissidents receive the same compensation as did incumbents, then the proxy contest should have no effect on share prices. If anything, since defending against a proxy contest involves real resource expenditures by the tirm, share prices could actually fall. lo Thus the testable implications of the Berle view are quite different than those of the standard economic analysis. In the standard economic analysis, there is an increase in share prices; under the Berle view, any change in share prices is negative. 3.3. Unsuccessful proxy contests The discussion thus far has presumed that the proxy contest be successful, and that incumbents be ousted. This presumption does not apply to the vast majority of proxy contests: as we shall see below, more often than not incumbents retain a majority of board seats. The implications for stockholders in unsuccessful contests are unclear. The prediction of the standard economic analysis - that share prices will exhibit a permanent increase - could still be borne out if the effect of the contest is to change the behavior of management so as to enhance the position of the shareholders. Such enhancement could occur for at least two reasons. First, given mechanisms such as cumulative voting, even proxy tights that fail to win a majority of board seats for dissidents often result in some seats changing hands. Indeed, we even observe challenges where dissidents do not appear to seek a majority of seats. If minority representation is expected to have a positive impact on the cash flows accruing to (non-management) shareholders, then it alone is sufficient for an increase in share prices to take place. Second, the fact of a dissident challenge could itself serve to discipline existing management, even if no seats change hands.” shareholders by both dissidents and incumbents, and an extensive set of SEC Proxy Rules on such procedures. In the sample below, for firms with available data the mean proportion of shares voted exceeds 80%. ‘OFor a discussion of the costs of proxy contests, see Aranow and Einhorn (1968, p. 543). Note that if there are efficiency gains accruing to shareholders as a result of the contest but the out-of-pocket costs incident on them are sufhciently large, negative share price performance would also be observed. “Sharpe (1981, p. 328) seems to raise this possibility. 407 P. Dodd and J.B. Warner, Prove contests For the case of unsuccessful contests, there are, however, plausible alternative scenarios whose predictions differ from those just discussed. For example, if contests where dissidents fail to win a majority are not expected to change the decisions made by managers, then share prices will fall: there is no change in the firm’s production/investment decisions and incumbents have used company resources to defend their position. In addition, if, instead of ‘disciplining’ managers, the dissidents’ unsuccessful challenge is interpreted as evidence of management’s future ability to insulate itself from discipline, then stockholders suffer a wealth loss, 3.4, Summary of predictions To summarize the testable implications discussed in this section, what we have referred to as the ‘standard economic analysis’ of proxy contests predicts positive share price performance for successful proxy contests, and, subject to additional qualifications, for unsuccessful contests as well. The standard view is described by Berle (1962, p. 438) as ‘a wholly imaginary picture’. The alternative views, which ignore the possibility of increased efficiency and focus on factors such as the direct costs of proxy contests, predict negligible or negative share price performance for both successful and unsuccessful contests. From our discussion of mechanisms such as cumulative voting, it is important to recognize that the whole issue of defining ‘success’ in a proxy contest is a difficult one. The empirical analysis that follows will explicitly recognize a wide range of possible contest outcomes. 4. Data and methodology The sample consists of 96 proxy contests for board seats where the election was held between July 1, 1962 and January 31, 1978. In 57 contests the firm was listed on the New York Stock Exchange (NYSE) at the time of the election, and in 39 contests the firm was listed on the American Stock Exchange (AMEX). 4.1. Sources of data on proxy contests The initial sources of the data are logbooks on proxy contests maintained independently by the staff of the NYSE and by Georgeson and Company, a proxy solicitation firm.” The logbooks provide lists and details of solicitations by non-management groups. Such solicitations are referred to as ‘countersolicitations’. The sample of tights includes all proxy countersolicitations obtained from the NYSE and Georgeson records where *21nmost proxy contests, firms. Georgeson both incumbents and dissidents hire professional is the ‘oldest and largest’ such firm. See Elias (196% p. 80). proxy solicitation P. Dodd and J.B. Warner, Proxy contests 408 (1) the countersolicitation is related to an election contest for board seatsI and (2) a minimum of 100 daily observations on the firm’s common stock return are available on files of the Center for Research in Security Prices at the University of Chicago (CRSP) for the period surrounding the time of the proxy contest.14 Several cross-checks and verification procedures indicate that the NYSE and Georgeson logbooks offer fairly complete coverage of countersolicitation among Exchange-listed firms.r5 Additional information about each contest was obtained from the logbooks as well as from articles which appeared in the Wall Street Journal. First, we attempted to identify the following dates for each contest: (1) Announcement date: the day the proxy contest is first mentioned in the Although this date is designated the announcement date, many contests appear to be already underway at that time. The ‘late’ nature of contest announcements will be discussed in section 5. meeting to elect a (2) Meeting date: the day on which the shareholders’ board is held. (3) Outcome announcement date: the day on which the results of the contest are reported in the Wall Street Journal. Wall Street Journal.16 Second, available details of the nominated slates and of shareholders’ votes were recorded. From this information, contests were classified according to whether they involved control or participation, and according to outcome. r30nly about half of the proxy countersolicitations were related to an election for seats. The remainder pertain to other contested matters, primarily shareholder approval of mergers or the sale of assets. The nature of the countersolicitation was determined from the NYSE and Georgeson logbooks, as well as the Wall Street Journal. t4The period surrounding the event is defined later in the paper. Only one firm having an election contest between July of 1962 and January of 1978 is excluded from the sample due to failure to meet this data availability requirement. r5For example, for the period from 1963 through 1972, abstracts of ‘corporate news’ reported in the Wall Street Journal Index were examined for virtually every one of the thousands of firms on which the WalI Street Journal had reported news items in this lo-year period. For the period over which this search was conducted, not a single listed firm for which a countersolicitation was reported in the Wall Street Journal failed to be on at least 1 of the 2 logbooks. However, as we will discuss in section 6, the sample of countersolicitations is potentially biased because it excludes those attempts to obtain board seats which are announced in the Wall Street Journal but terminated prior to countersolicitation. t%ontest announcements usually involve the dissidents’ naming of a slate or tiling of Form 14B with the Securities and Exchange Commission; dissidents are required to tile that document, giving information such as their identity and background, at least 5 days before sending solicitation materials to stockholders. There are also some cases where no slate is yet specified, and the initial contest mention takes the form of an article such as one on ‘speculation about a possible light’, or ‘dissidents will seek seats’. The F&S Index of Corporations and Industries, which abstracts articles from over 750 financial publications and trade magazines, was also used to determine the date of announcement. In those few cases where it was established that the Wall Street Journal articles were preceded by those in other publications, the date at which the published report appeared elsewhere was used. P. Dodd and J.B. Warner. Proxv contests 409 Following the standard jargon of proxy contests, all contests where the dissidents proposed candidates for 50% or more of the available board seats were classified as control contests. Those involving less than SO”/, were classified as participation contests.” 4.2. Characteristics of the sample contests 4.2.1. The timing of events The mean and median number of trading days from the first published mention of the contest in the Wall Street Journal to shareholders’ meeting are 40 and 31; the mean and median number of trading days from shareholders’ meeting to election outcome announcement are 12 and 3, respectively.18 4.2.2. Class$cation by type and outcome Details of the sample contests are provided in table 1. Of the 96 contests, 71 are for control of the board and 25 involve elections for participation. In 56 (or 58.3%) of the 96 contests, dissidents win at least 1 seat. In 53 (or 74.6%) of the control contests, incumbents win a majority of available board seats. In 18 (or 25.4%) of the control contests, the dissidents win a majority. In addition, in 27 (or 50.9”/;;) of all control contests where management wins a majority, the dissidents win some seats, bringing the number of sample control contests in which dissidents win at least 1 seat to 45 (or 63.3”/,) of all control contests. The figures for control contest outcomes are similar for firms with cumulative and firms with noncumulative voting. The average board size for the firms involved in control contests is 9, and dissidents name candidates for an average of 81% of available board seats. Participation contests involve an average board size of 10, and an average of 26.7’%; of available board seats are sought by dissidents. In 14 (or 56.0x) of the participation contests, incumbents are successful in keeping seats out of the hands of dissidents, while in the other 11 (or 44%) dissidents win at least one board seat. In 4 of the 11 participation contests where dissidents win seats, they win fewer than the number sought. “The total number of available board seats is not always equal to the total number of seats. Five sample firms have classitied directorships, where the fraction of board seats up for election in a given year is less than lOOo/O(typically 33”/,); in one such case, dissidents won a majority of the available board seats but not of total board seats. Since the dissidents had sufficient votes to eliminate classified directorships, the firm is considered as if the dissidents had a majority of the board. “The figures for the latter period exclude 9 firms where the announcement of contest outcome actually precedes shareholders’ meeting, and where a ‘compromise slate’ agreed on by incumbents and dissidents is announced prior to the meeting and later elected at the meeting. For purposes of classification by outcome, those firms with a compromise slate are treated as if there had been an opposition slate at the time of the election. The outcome is determined by examining the initial slates proposed by incumbents and dissidents, and comparing them to the compromise slate. P. Dodd and J.B. Warner, Proxy contests 410 Table The sample of proxy contests Control Contests (i.e., dissidents in the 1962-1978 seek majority 1 period, of available by type, year and outcome board (96 events). seats) Incumbents: No. of contests Year 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 (thru Jan. 31) Totals Win all seats Win only majority of seats Lose all seats Retain seats 2 7 6 5 3 8 4 4 3 9 5 4 2 3 4 1 1 1 3 2 2 0 3 0 1 0 5 3 3 0 0 2 0 1 0 3 2 2 3 3 3 0 2 3 1 1 2 2 0 0 0 1 1 0 0 0 2 I 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 1 1 1 0 0 71 26 27 6 12 some 1 2 1 0 Summary of Control Contest Outcomes Category Incumbents win majority of seats Dissidents win majority of seats Dissidents necessarily win some seats (but not a majority) No. of contests Percentage of sample outcomes 53 74.6% 18 25.4% 45 63.3”<, 4.2.3. The dissidents Two additional items, each related to the identity of the dissidents, are worth noting. First, the sample proxy contests are often waged by former ‘insiders’: in 37 of the 71 control contests and in 4 of the 25 participation contests, published reports in the Wall Street Journal indicate that the dissidents include either former board members, former high ranking officials of the firm, or both.rg Typically, such individuals leave the firm after a policy r9We define a high executive vice president, ranking offtcial as one having the title of president, senior vice president, or president of a subsidiary. vice president, P. Dodd and J.B. Warner, Proxy contests Table 411 1 (continued) Participation Contests (i.e., dissidents seek minority of available board seats) Dissidents: No. of contests Year 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 (thru Jan. 31) Totals Summary of Participation Lose all seats sought Win all seats sought Win less seats than sought 0 0 0 3 2 1 3 1 0 2 0 2 0 3 0 0 1 3 0 1 2 2 0 3 0 0 1 0 0 0 1 0 0 0 0 0 25 14 0 0 0 1 0 0 0 0 0 0 0 7 4 Contest Outcomes Category No. of contests Percentages of sample outcomes Incumbents win all seats 14 56.0”‘1 ‘0 Dissidents win some seats 11 44.0% dispute with incumbent directors prior to the contest, and actually initiate the contest. The frequent involvement of managers suggests a close relationship between proxy contests and competition in the managerial labor market. Second, while some proxy contests do involve other firms, the number of such instances is relatively small, suggesting for the sample as a whole only a weak relationship between proxy contests and merger or tender offer activity. In 16 of the contests, published reports in the Wall Street Journal indicate that the dissidents include (and are ‘led’ by) another firm.” In only 3 of 2”Similarly, of all sample contests, following the shareholders’ meeting. there are 18 where the firm is merged within 3 years 412 P. Dodd and J.B. Warner, Proxy contests those cases is an interlirm tender offer made for the firm’s shares in the 120 days preceding the first published reports of a proxy contest. The presence of either former insiders or another firm appears to have a marked and positive impact on the likelihood that the dissidents will be successful in winning seats. For example, in 29 of the 37 control contests involving insiders and in 10 of the 12 control contests involving another firm, dissidents win seats. In contrast, dissidents win seats in only 7 of the 23 control contests not involving either insiders or other firms. 4.3. Methodology for examining contests The paper’s methodology in the appendix. security returns around the time of proxy is discussed briefly here, and presented in detail 4.3.1. Estimating excess returns for a given sample security The ‘market model’ is used to adjust for marketwide factors and for risk.‘l For a given security j, the abnormal or excess return in each of the t = 1,2,. . ., Tj trading days around the time of the proxy contest is defined as the ‘residual’ or prediction error,22 where Rj, = continuously compounded R,, = continuously compounded index at event day t. rate of return to security j at event day t, rate of return to the CRSP value-weighted The coefficients oij and Bj are Ordinary Least Squares (OLS) estimates of the market model from a regression over Lj days surrounding the ‘J days for which abnormal returns are computed. Subject to the availability of return data, for each security the prediction error PE,, is calculated for each day t in the period around the time of the contest. This ‘contest period’ is defined as the period from the 150th day prior to the first contest mention cited in the Wall Street Journal Index through the 80th day following the election outcome announcement cited in the Wall Street Journal Index; since the length of the contest period differs across securities, the number of days for which prediction errors are computed, T, is firm-specific, and thus subscripted by j. The period of Lj trading days surrounding the contest ‘ISee Fama (1976, ch. 3, 4) for a discussion of the market model. 22’Residual’ and ‘prediction error’ are used interchangeably in the following analysis; however, the prediction errors are not residuals in the OLS sense because they need not sum to zero. 413 P. Dodd and J.B. Warner, Proxy contest.~ period is comprised of the 150-day period prior the 150-day period following the contest period.” 4.3.2. Aggregating to the contest period plus excess returns across time and sample securities For a given security j, let dlj and dzj designate the calendar days of any two successive events in the progression of the proxy contest. For example, for a given security, dlj could represent the meeting date, and d,, could represent the outcome announcement date. Then the measure of abnormal performance of security j between the two dates [that is, for the (d,,-dlj + 1)s Tj days beginning at day dlj through day dzj] is given by the cumulative prediction error, CPEj=t=p PE,,. t=d,j In the absence of abnormal performance, the expected value of the cumulative prediction error is equal to 0. For any sample of securities. the number of days between a given set of events can differ across securities. For example, some securities have 5 days between shareholders’ meeting and outcome announcement, and others have 10 days. For a sample of N securities, the measure of abnormal performance between two given events is given by the mean cumulative prediction error, CPE =; ,i CPE,. J 1 In the absence of abnormal performance, cumulative prediction error equals 0.24 the expected value of the mean Z3Although the period surrounding the event is defined to have a maximum of 300 trading days, for a few firms data is unavailable for each day in that period; thus, L is also subscripted by j; L, 5 300. 24The mean cumulative prediction error is an estimate of the expected abnormal return per security that could be earned on the following strategy: buy each sample security j at its respective date dlj and hold through day dzj. Alternative procedures for aggregating residuals and estimating this return [such as those based on Ball and Brown (1968) and Dodd (1980)] were also used, but the specific numerical magnitudes were typically not notably different from those reported in the paper for mean cumulative prediction errors. It is also worth noting that the paper’s conclusions do not appear to be highly sensitive to the specific methodology used to generate prediction errors. For example, measures of abnormal performance were also calculated using the CRSP Excess Returns tile, as well as the Scholes and Williams (1977) procedures, and variations of the Brown and Warner (1980) Mean Adjusted Returns and Market Adjusted Returns methodologies. Again, results similar to those reported in the paper were obtained. Finally, to study the properties of both standardized cumulative residuals and the test statistic 2 in the absence of abnormal performance, several types of simulation procedures were used. The results indicated that the unit normality assumption is not unreasonable. Details of the simulations were reported in a previous, unpublished version of this paper, and will be furnished on request. J F.E. -I’ 414 P. Dodd and J.B. Warner, Proxy contests In the appendix, a test statistic for the mean standardized cumulative prediction error is discussed. Briefly, in order to derive the test statistic 2, each security-specific cumulative prediction error is first standardized to reflect its respective estimated standard deviation; each standardized cumulative prediction error is assumed to be distributed unit normal in the absence of abnormal performance. The test statistic, which is the mean standardized cumulative prediction error multiplied by the square root of the number of securities, is also assumed to be unit normal. 5. Excess returns around the time of proxy contests 5.1. A broad overview using monthly data Before moving to an examination of security price performance for specific days around the sample proxy contests, it is useful to get a somewhat broader overview of stock price behavior in the months and years around the time of the contest. Table 2 shows excess returns for each month from the 60th month prior to the calendar month in which the proxy contest was announced, through the 12th month following contest announcement.25 Two general conclusions emerge from the table. First, there is at best only weak evidence that firms destined for proxy contests have abnormally low rates of share return in the years immediately preceding the contests. In the period from months -23 through -6 relative to first published reports, the mean cumulative residual is -0.087, with a Zstatistic of - 1.01. However, in the period prior to that, from months -60 through -24, the mean cumulative residual is actually positive, having a value of 0.054, with a Z-statistic of 1.42. 26 These figures certainly do not provide strong support for the view that proxy contests take place only after prolonged periods of abnormally poor share price performance.27 ‘%t table 2, the procedures for calculating mean cumulative residuals and their corresponding test statistics are similar to those outlined previously; the observations are merely on monthly (i.e., compounded daily) rather than daily returns, and the market model parameters are estimated from monthly rather than daily data. The estimation period has a total of 48 months, and consists of months -84 through -61 and + 13 through +36 relative to contest announcement. In order to be included in the table, a security must have a minimum of 24 monthly returns in the estimation period. Although not reported in the table, other estimation periods (including those involving only post-event data) were also used; the general conclusions were unchanged. Note that since the CRSP daily file does not start until 1962, where month -60 occurs prior to 1962, CRSP monthly data (if available) were used to calculate the residuals reported in the table. 26Because some securities have missing data, values of the mean cumulative residual between these dates differ slightly from the value of the changes in the cumulative mean residual implied by table 2. “The absence of dramatic evidence that the sample firms’ shares performed poorly in the years prior to the contest says little about whether the proxy contests arose to replace inefftcient management. Any ‘poor management’ that might have led to the proxy contest will be reflected in a change in share value only to the extent that the poor management was unanticipated. Furthermore, even if a fall had occurred, it can be difficult to detect abnormal share price performance when its exact time of occurrence is unknown. P. Dodd and J.B. Warner, Proxy contests 415 Table 2 Monthly excess returns associated with proxy contests time period: 1962-1978). (sample size: 96 contests, Month relative to contest announcement Mean residual Cumulative value of mean residual -60 -50 -40 -30 -24 -23 -22 -21 -20 -19 -18 ~ 17 -16 -15 - 14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 -0.005 0.017 0.006 - 0.000 -0.003 0.006 -0.001 0.005 - 0.008 0.006 -0.021 - 0.020 - 0.002 0.019 0.009 0.008 0.008 - 0.007 -0.019 - 0.026 -0.016 -0.005 -0.006 0.002 -0.013 - 0.006 0.024 0.044 0.016 -0.014 - 0.022 0.018 -0.015 -0.010 0.004 0.005 -0.016 0.011 0.003 0.022 -0.003 - 0.005 - 0.007 0.006 0.063 0.057 0.063 0.062 0.067 0.058 0.065 0.044 0.023 0.020 0.040 0.049 0.057 0.049 0.042 0.023 -0.003 -0.019 - 0.024 - 0.03 1 - 0.029 - 0.043 - 0.049 - 0.024 0.019 0.036 0.022 -0.000 0.018 0.003 -0.006 -0.001 0.003 -0.012 -0.001 0.001 0.024 0.02 1 Second, there is evidence of positive abnormal stock price performance in the months just preceding published reports of the proxy contest. The mean cumulative residual for months -5 through 0 is 0.054, with a Z-statistic of 2.72; the mean cumulative residual for months -2 through 0 is 0.076, with a 416 Z-statistic represents reported abnormal remainder P. Dodd and J.B. Warner, Proxy contests of 4.47. Moreover, in month - 1, the mean residual is 0.044, which the highest value of the mean residual for any of the 73 months in the table. To better understand the precise timing of the performance and its relationship to proxy contest activity, the of this paper uses daily data. 5.2. Daily excess returns around proxy contests: Overall results Table 3 provides a summary of daily excess returns around proxy contests. The table reports cumulative excess returns for the period from 59 days prior to contest announcement through the day of election outcome announcement, a period with a mean length of 112 trading days. A period prior to proxy contest announcement is included in reporting these overall results because, as we shall later discuss, there is considerable evidence that dissident activity related to the contests was already underway for many weeks prior to actual contest announcement. The data from table 3 reinforce the general impression gained from table 2 that there is positive abnormal performance around the time of the proxy contest. The mean cumulative residual for the period from 59 days prior to contest announcement through the day of election outcome announcement is 0.082, with a Z-statistic of 2.78; the median cumulative residual is 0.079. Similarly, if one examines excess returns from the 39th day preceding contest announcement through the day of election outcome announcement, the mean cumulative residual is 0.062, with a Z-statistic of 2.12. Ignoring for the moment the all-important issue of whether the positive share price performance was due to the proxy contest itself, these findings are certainly consistent with the standard economic analysis of proxy contests, in which the challenges benefit shareholders by transferring resources to higher valued uses. 5.2.1. Excess returns by contest outcome From table 3 it also appears that the presence of positive stock price performance around the time of proxy contests is independent of contest outcome. For contests where dissidents win seats, the mean cumulative residual from the 59th day prior to contest announcement through the day of election outcome announcement is 0.081, with a Z-statistic of 2.05; for contests where dissidents win no seats, the mean cumulative residual is 0.082, with a Z-statistic of 1.89. For contests where dissidents win a majority, the mean cumulative residual is 0.128, with a Z-statistic of 1.43; the mean cumulative residual for contests where dissidents fail to win a majority is 0.077, with a Z-statistic of 1.68. Thus, increases in share value do not appear to require that dissidents gain either a majority or a positive number of board seats. 0 relative announcement outcome “Because of missing data, composition given in brackets above the columns. 20 following of sample ~ 0.006 - (0.06) -0.055 p(2.70) 0.142 (5.12) 0.001 (0.70) are reported 0.005 (0.02) - 0.006 -(0.56) 0.052 (1.33) -0.001 (0.34) 0.063 (1.82) 1251 Participation changes slightly -0.015 -(0.95) - 0.059 -(2.36) 0.141 (4.76) 0.011 (2.38) 0.081 (2.05) C561 1962-1978)” 0.018 (0.35) -0.018 -(1.26) 0.086 (2.23) -0.014 -(1.67) 0.082 (1.89) c401 to period. Win no seats from period Win seats where time period: All contests dissidents: (full sample size: 96 contests, Table 3 for which excess returns -0.003 -(O&t) 0.119 (5.09) (5) Day 1 through announcement contest 0.0008 (0.78) ~ 0.043 -(2.63) to 0.088 (2.15) 1711 1961 0.082 (2.78) Control proxy contests All contests (4) Day after contest announcement through day of election outcome announcement (3) 60 days prior to and including announcement outcome (2) Days - 1 through day of election in the Wail (1) 60 days prior to and including contest announcement through outcome announcement Street Journal around in parentheses) of excess returns Mean Cumulative Residuals (Z-statistics Summary The number 0.008 (0.76) -0.053 -(1.71) 0.175 (3.23) -0.007 - (0.20) 0.128 (1.43) If81 Win majority ____ where of contests - 0.056 -(1.48) ~ 0.056 -(2.14) 0.132 (4.06) 0.004 (0.91) 0.077 (1.68) 1531 Fail to win majority Control contests dissidents: is 418 P. Dodd and J.B. Warner, Proxy contests However, the failure to detect significantly different behavior for the various categories over the entire period from prior to contest announcement through election outcome announcement does not imply that contest outcome was irrelevant to the share price of a given firm. As table 3 indicates, small share price adjustments take place at the time the election outcome announcement actually appears in the Wall Street Journal, and in a manner somewhat related to contest outcome.‘* In those contests where the dissidents win seats, there is positive abnormal performance; the mean cumulative residual for the two-day period prior to and including the day of outcome announcement in the Wall Street Journal is 0.011, with a Z-statistic of 2.38. For those contests where dissidents fail to win seats, there is negative abnormal performance; the two-day mean cumulative residual is -0.014, with a Z-statistic of - 1.67. The indications of a systematic relationship between outcome announcement and the direction of share price reaction are not entirely consistent, however. One puzzle reported in table 3 is that the two-day mean cumulative residual at the outcome announcement for control contests in which dissidents win a majority is an undramatic -0.007, with a Z-statistic of -0.20, for control contests where dissidents fail to win a majority, the mean cumulative residual is 0.004, with a Z-statistic of 0.91. However, a more notable pattern emerges when control contest outcomes are examined in further detail. In about half of all control contests where incumbents retain control, dissidents won no seats at all; for these contests, the two-day mean cumulative residual is -0.014, with a Z-statistic of - 1.47. When the control contests where dissidents fail to win a majority but won seats are aggregated with those where dissidents did win a majority, the two-day mean cumulative residual is 0.010, with a Z-statistic of 1.99. The relatively small size of the various share price adjustments at election outcome announcement indicates that any ‘good news’ associated with winning seats and any ‘bad news’ associated with failing to win seats is largely anticipated. In no case does it seem that the actual winning of either seats or of control by dissidents is associated with a fall in share prices, and, if anything, the result for contests where dissidents win seats indicates a slight positive effect. Nor does the failure to win seats or control result in a rise in stock prices, and, if anything, the opposite effect is found. The evidence is certainly consistent with the view that dissident participation on the board was expected to enhance the cash flows accruing to nonmanagement shareholders. Even if the fact of a challenge to management is one source of the share price changes around the time of the contests, it is not the only source, and the contest outcome itself does appear to be of some consequence. 28Similar results to those reported here meeting to election outcome announcement cumulative residuals are studied. apply when is examined, the entire period or when median from shareholders’ (rather than mean) P. Dodd and J.B. Warner, Proxy contests 5.2.2. Overview of the remainder 419 of the paper Fig. 1 displays cumulative values of the mean daily residual for the 120day period from 59 days prior to initial contest announcement through 60 days following initial contest announcement. The remainder of this paper is concerned with two important issues suggested in fig. 1, as well as table 3.29 The first issue is the abnormal performance prior to and at initial proxy contest announcement. The mean cumulative residual reported in table 3 for the 60-day period prior to and including contest announcement is 0.119, with a Z-statistic of 5.09. These figures give an even stronger indication of positive abnormal performance around the proxy contest than those already discussed. However, from fig. 1, the abnormal returns generally do not occur at actual contest announcement; whether or not the pre-announcement abnormal returns can be attributed to the proxy contest, and how these abnormal returns differ across contests, is investigated in section 5.3. -30 0 +30 DAY RELATIVE TO INITIAL PROXY CONTEST ANNOUNCEMENT Fig. 1. Cumulative mean residual for 120 days around initial proxy (sample size: 96 contests, time period: 1962-1978). contest announcement The second issue is related to share price performance following contest announcement. Fig. 1 indicates an abnormal fall in share between contest announcement and election outcome announcement, initial prices with 29Fig. 1 does not correspond exactly to table 3 because not all contests have 60 days between initial announcement and election outcome announcement. Also, a few contests have missing data for some days, so values of the mean cumulative residual and cumulative mean residual can differ. 420 P. Dodd and J.B. Warner, Proxy contests the mean cumulative residual between the two dates having a value in table 3 of -0.043, with a Z-statistic of -2.63. Thus, some of the dramatic pre-announcement positive share price increases were only temporary. Possible reasons for that finding are the subject of section 6. 5.3. The behavior of returns prior to and at contest announcement: relationship to contest activity 5.3.1. The cross-sectional distribution ofpre-announcement Details and excess returns Table 4 presents a detailed picture of excess returns in the period prior to and including the day on which announcement of the proxy contest appeared in the Wall Street Journal. 3o Examination of the cross-sectional distribution of company-specific cumulative residuals suggests that positive abnormal performance is a sample-wide phenomenon. As table 4 indicates, the median cumulative residual for days -59 through 0 relative to contest announcement is 0.133, and 77% of the 60-day cumulative residuals are positive. 31 The 0.1 and 0.2 fractiles of the cross-sectional distribution of standardized cumulative residuals have values of -0.36 and -0.12, respectively; these values are considerably higher than the values of - 1.29 and -0.86 for the 0.1 and 0.2 fractiles of a unit normal distribution, which is the distribution from which the standardized cumulative residuals should be drawn in the absence of abnormal performance. Moreover, only 2 of the 87 standardized cumulative residuals fall in the lower 20% tail of a unit normal, far fewer than the expected number of 17.4. High abnormal performance also occurs regardless of eventual contest outcome. Those control contests where dissidents win a majority have a mean cumulative residual of 0.175, with a Z-statistic of 3.23, in the period from day -59 through day 0; those control contests where the dissidents fail to win a majority have a corresponding 60-day mean cumulative residual of 0.132, with a Z-statistic of 4.06. If instead one compares the 60-day cumulative residuals for all contests (including both control and participation) where (1) dissidents win seats and (2) dissidents fail to win seats, similar conclusions also apply. The 60-day mean cumulative residuals for the two groups are 0.141, with a Z-statistic of 4.76, and 0.086, with a Zstatistic of 2.23, respectively.32 30The table excludes 9 of the 96 contests. In 4 cases, no mention of the contest appeared until the shareholders’ meeting; in 5 cases, continuous return data are unavailable prior to first contest mention. a’If the expected proportion of positive cumulative residuals is 0.5, then the sample proportion of 0.77 has a sign test value of 4.9, which is significant at the 0.01 level using a onetailed test. “Although not reported in table 4, the conclusion of positive abnormal performance also applies to various subsamples when broken down into even finer detail. For example, control contests were partitioned into those where dissidents (1) win all seats, (2) win a majority but not all seats, (3) lose a majority but win some seats, and (4) lose all seats; participation contests were partitioned into those where dissidents (1) won seats, and (2) failed to win seats. 0 ~ 1 through 0.052 (3.14) 0.003 (0.86) 0.034 (3.34) 0.015 (2.87) 0.012 (2.52) 0.039 (4.46) 0.012 0.012 -0.00001 residuals 0.018 (3.12) 0.048 (4.03) 0.141 (4.76) 0.003 (0.17) 0.024 (2.12) 0.086 (2.23) c351 Win no seats where dissidents: above the columns Win seats ~521 cumulative 0.133 0.496 0 0.5 Type and Outcome All contests by Contest -0.91 -0.36 - 1.29 0.1 and standardized data is given in brackets 0.052 (1.33) 0.142 (5.12) with available P-4 1651 P71 of contests Participation Control 0.119 (5.09) residuals in parentheses) residuals All contests “In panel B the number ‘From table 3. 0 through -9 Ob through -59 0 of cumulative 0 Residuals (Z-statistics Cumulative residualh Standardized cumulative Unit normal distribution 0 through -1 -1 0.339 1.43 1.29 0.9 (days Fail to win majority l501 0.132 (4.06) 0.020 (2.16) 0.015 (2.46) ll51 0.175 (3.23) 0.082 (3.00) 0.015 (1.46) contests 71 77 50 in the Wall where dissidents: 0) <I 1” / positive through is tirst announced Win majority Control -59 2.52 3.75 -0.17 5.09 1.24 4.03 3.62 -40 -20 0 0.119 0.015 0.055 0.048 through through through through -59 -59 -39 -19 1.00 0.024 - 120 through -60 Z-statistic Mean cumulative residual Day(s) relative to first contest announcement Frequency Mean Cumulative Table 4 on common stock of firms having proxy contests, where day 0 is the date the contest Street Journal (full sample size: 96 contests, time period: 1962-1978)” with Available Data (N 5 87) daily excess returns Sample of Contests Day(s) relative to first contest announcement Panel B: Panel A: Pre-announcement P. Dodd and J.B. Warner, Proxy contests 422 Although a detailed examination of the cross-sectional distribution of preannouncement abnormal performance is entirely consistent with the view that virtually all contests result in share price increases, the finding of positive abnormal performance prior to contest announcement could merely indicate that firms subject to proxy contests happened to have performed unusually well prior to the beginning of the contests. However, several pieces of evidence suggest a contemporaneous association between the positive abnormal returns and the proxy contests themselves. 5.3.2. The concentration of excess returns around contest announcement The pre-contest-announcement abnormal returns are not uniformly distributed throughout the 60-day period prior to contest announcement. Most, if not all, of the abnormal performance occurs between day -39 and day 0, with the mean cumulative residual for that period having a value of 0.105, with a Z-statistic of 5.40. Some of these excess returns occur in the days just before actual publication of a contest announcement. For all sample contests, the mean cumulative residual for days -9 through 0 relative to contest announcement is 0.039, with a Z-statistic of 4.46. As panel B of table 4 indicates, in the case of participation contests, which constitute about one-fourth of the sample, virtually all of the pre-announcement excess returns occur in the 10 days prior to and including contest announcement; the lo-day mean cumulative residual for these contests is 0.052, with a Zstatistic of 3.14. In addition, there appears to be a small stock price effect at contest announcement. For days - 1 through 0 the mean cumulative residual for all proxy contests is 0.012, with a Z-statistic of 2.52. The abnormal performance appears to be concentrated at day - 1; there, the mean residual has a value of 0.012, which is the maximum value it takes on in any day from - 120 through 0.33 At day 0, the mean residual of -0.00001 is not significantly different from 0. If the information which is reported in the Wall Street Journal on day 0 became known to the market prior to the close of trading on day - 1, then the concentration of any sample abnormal performance at day - 1 would be expected. 5.3.3. Evidence on the late reporting From an understanding of contest activity of the timing of proxy contest activity, there is a 33The high values reported for the mean residuals cannot be attributed to a few postttve is 0.004, which is highly statistically outliers. For example, the median day -1 residual significant: in a previous version of this paper, we discussed our use of simulation procedures to construct the sampling distribution of the median residual. In general, the sampling distribution of the median daily residual was found to be approximately normal and to have considerably smaller standard deviation than that of the mean daily residual. In the absence of abnormal performance, a daily median residual in excess of the 0.004 value reported in table 4 for day - 1 would occur with roughly probability 0.01 in a sample of the size reported in table 4. P. Dodd and J.B. Warner, Proxy contests 423 priori reason to believe that on the day of contest announcement in the Wall Street Journal, dissident activity related to the proxy contest had already been underway for some time, and that any contest-related excess returns could precede actual contest announcement. For example, in a treatise on the legal and institutional aspects of proxy contests, Aranow and Einhorn (1968, pp. 15-16) indicate that the mechanics of the proxy contest involve both the organization of the dissidents’ team of experts (including lawyers, accountants, public relations personnel, and professional proxy solicitors) and the preparation, filing, and dissemination of solicitation material. In discussing the time-table of the dissident campaign, they indicate that to accomplish these activities, ‘experience has shown that a contest must usually be started at least three months . . (or in excess of 60 trading days) . . . cannot avoid before the stockholders’ meeting’,34 and that ‘the insurgents leaving clues to the coming contest’.35 However, for the sample contests, the median number of trading days from contest announcement in the Wall Street Journal to shareholders’ meeting is 31; 30 of the sample contests have fewer than 20 trading days between contest announcement and shareholders’ meeting, and only 22 of the 96 contests have more than 60 trading days between contest announcement and shareholders’ meeting. On this basis, for a vast majority of sample contests it seems likely that events in the progression of the contest have already taken place at published contest announcement. An examination of the details of the actual contest announcements in the Wall Street Journal lends additional credence to the suspicion that published contest reports are ‘late’ relative to the start of dissident activity. For 20 contests, or about one-fifth of the sample, the contest announcement indicates previous, unreported, contest-related activity.36 Assuming that the reporting in an announcement is accurate but incomplete in giving details of the contest’s background, the figure of one-fifth is a lower bound on the fraction of sample contests where we know with probability 1 that dissident activity took place prior to contest announcement. 5.3.4. Implications of late reporting jbr interpreting observed e.xcess returns Given the strong indications of late reporting, it is quite plausible that unusual share price behavior related to the contest would be observed during the 40- to 60-day period prior to actual announcement. Furthermore, not all 34Aranow and Einhorn (1968, p. 17). 35Aranow and Einhorn (1968, p. 126). 361n 7 cases, countersolicitation was reported to have already begun. In another 7 cases, there had been negotiations with management, and offers of seats in 2 of those cases. In 3 cases, there was a lawsuit related to the contest, and in 1 case a dissident demand for a shareholder list had been presented to management. In another 2 cases, it was reported that an unusually large number of afIXated dissidents (32 and 10, respectively) simultaneously indicated to the SEC their intent to countersolicit, suggesting significant previous dissident activity in planning a campaign. 424 P. Dodd and J.B. Warner, Proxy contests sample contests even have positive abnormal performance extending as far back as 40 or 60 days relative to contest announcement. As we already discussed, in the case of participation contests, all of the abnormal performance seems to take place in the lo-day period prior to contest announcement. In addition, not all of the control contests have abnormal performance as far back as day -59. For example, the control contests were broken down into two subsamples, formed on the basis of the information contained in the initial published report. Contests were put into the first subsample if, on the basis of the information reported in the actual contest announcement, the announcement appeared to be ‘early’ relative to the start of dissident activity; 14 contests were treated as having been reported early, and these typically involved a background article on ‘speculation about a possible proxy tight’. For 51 control contests, the initial announcement was classified as ‘late’, and generally involved the actual naming of a slate or formal launching of a campaign. Although both subsamples had similar cumulative excess returns as of day 0, those contests reported early had virtually all of their excess returns in the 20- to 25-day period prior to contest announcement. For those control contests reported late, the excess returns seem to occur throughout the 40-day (and possibly the 60-day) period prior to contest announcement. Thus, in addition to the participation contests, some control contests have excess returns in only the few weeks prior to contest announcement. Coupled with our a priori knowledge of the timing and mechanics of proxy contests, such findings cast doubt on the view that the pre-announcement excess returns bear no relationship to proxy contest activity; indeed, the relationship appears to be strong. Furthermore, attempts to link a portion of the excess returns to some obvious alternative sources failed. For example, the figures reported in table 4 are similar for contests where dissidents include another firm and those which do not. Thus, merger activity will not explain our results. Nor do the sample firms seem to be characterized by unexpectedly good earnings during the pre-announcement period: there are 50 sample contests where a quarterly earnings announcement appeared in the Wall Street Journal in the 60 days prior to contest announcement. For these contests, we conducted a separate ‘event study’ for the days around the earnings announcement. There was little evidence of non-zero average share price reaction, and the general results from table 4 are similar for firms having and those not having earnings announcements. The notion that the sample firms were doing (unexpectedly) well for reasons unrelated to the proxy contest is, at this point, without empirical support. 6. Further evidence on negative excess returns between contest announcement and election outcome announcement As indicated earlier, there is negative abnormal performance between P. Dodd and J.B. Warner, Proxy contests 425 contest announcement and election outcome announcement; the mean cumulative residual reported earlier in table 3 between the two dates is -0.043, with a Z-statistic of -2.63. Further details of the negative abnormal residual performance are given in table 5. 37 Not only is the mean cumulative negative for the period from contest announcement through election outcome announcement, but the median cumulative residual takes on a similar value, -0.052, and only 32% of the cumulative residuals are positive. The abnormal performance seems to be concentrated among the control contests. For those contests, the mean cumulative residual is -0.055, with a Z-statistic of -2.70, compared to a mean cumulative residual of -0.006, with a Zstatistic of - 0.56, for participation contests. The negative abnormal performance characterizing the control contests seems to occur regardless of eventual contest outcome: those contests where dissidents win a majority have a mean cumulative residual of -0.053, with a Z-statistic of - 1.71; those contests where dissidents fail to win a majority have a mean cumulative residual of -0.056, with a Z-statistic of - 2.14. Taken at face value, the pervasive nature of these negative excess returns suggests that shares of firms involved in proxy contests were systematically overpriced at the time of contest announcement, and that an abnormal return could have been earned, on average, by selling short a firm’s shares at the time a contest is announced, and covering the short sale at outcome announcement. Possible explanations for this seemingly unusual finding are now explored, We are able to at least partially account for the finding. 6.1. Sample selection bias The sample of proxy contests includes only firms where there is a countersolicitation; the sample does not include firms where a proxy contest is announced, but later cancelled prior to countersolicitation. Thus, the sample behavior reported earlier is not necessarily representative of the behavior of all firms having an announcement of a dissident attempt to gain board seats. To collect a sample of cancelled proxy contests, for the years 1963 through 1972 every corporate news item abstract in the Wall Street Journal Index was examined. This procedure yielded 28 cases of listed firms where a dissident attempt to gain seats was reported but no countersolicitation materialized. In 17 such cases, the dissidents subsequently “Table 5 excludes 7 contests; 4 have a missing contest announcement date, 3 have missing return data during the contest announcement to outcome announcement period, and 1 has no election outcome announcement. Although not reported in table 5, the precise timing of the negative abnormal performance has been studied in considerable detail. The negative abnormal performance is not uniform throughout the period from contest announcement to election outcome announcement, and appears to occur only between contest announcement and the shareholders’ meeting. The negative abnormal performance is not markedly ‘spiked’ at particular days immediately following contest announcement or immediately preceding the shareholders’ meeting, and appears to occur regardless of the length of time between the two dates. Details will be furnished upon request. -2.63 32 54 Z-statistic y0 positive cumulative residuals Mean number of days 59 28 -2.70 -0.055 - 0.062 1671 Control with available - 0.043 “The number of contests ‘From table 3. - 0.052 Mean cumulative residualb C891 All contests from the day after proxy Median cumulative residual Excess returns 37 40 -0.56 - 0.006 -0.025 1221 Participation announcement data is given in brackets contest Table 5 outcome 44 34 -1.26 -0.018 - 0.037 c351 Win no seats where dissidents: above the columns. 60 29 -2.36 - 0.059 ~ 0.053 c541 Win seats All contests through the day of election period: 1962-1978)” contests (full sample 56 25 -1.71 -0.053 - 0.043 1161 Win majority Control announcement 60 29 -2.14 -0.056 - 0.062 l5ll Fail to win majority where dissidents: size: 96 contests, time P. Dodd and J.B. Warner, Proxy contests 427 abandoned their attempt to get representation without gaining any seats; in 11 cases, dissidents reached a compromise with incumbents, and, as part of the compromise, did receive seats. In one such case, dissidents obtained a majority of board seats. Table 6 Excess returns for 28 cases in the 196331972 period where a dissident attempt to gain seats is reported in the Wall Street Journal but countersolicitation does not subsequently take place. Day(s) relative to initial announcement of dissident activity Mean cumulative residuals (Z-statistics in parentheses) - 120 through -0.043 - (0.68) -60 -59 through 0 0.086 (2.67) -29 through 0 0.104 (3.86) -1 through 0 0.015 (2.34) Day after announcement through day of outcome (i.e. contest cancellation) Mean cumulative Z-statistic Median Days following 1 through 20 -0.053 -2.24 residual cumulative Mean number of dissident activity announcement residual outcome - 0.084 47 of days announcement Mean cumulative residual (Z-statistic in parentheses) - 0.043 -(1.59) Table 6 reports excess returns for the sample of firms for which there is an attempt to gain seats that is terminated prior to countersolicitation. As in the case of countersolicitation, there is evidence of positive abnormal performance prior to and at the time of contest announcement (i.e., first published reports of dissident activity).38 Over the 30 days prior to and including the day of first published reports, the mean cumulative residual is 0.104, with a Z-statistic of 3.86. In the period including both the day of and 38First published reports of dissident activity for cancelled proxy contests arc similar to those for the sample of countersolicitations. The reports generally involve the naming of a slate, dissidents’ filing of Form 14B with the SEC, statements by dissidents that seats will be sought, or an article on ‘speculation about a possible fight’. 428 P. Dodd and J.B. Warner, Proxy contests the day before first reports, the mean cumulative residual is 0.015, with a Zstatistic of 2.34. In addition, for cancelled proxy contests there is evidence of negative performance between contest abnormal announcement and the announcement of contest cancellation. 39 The mean cumulative residual in that period is -0.053, with a Z-statistic of -2.24, and the median cumulative residual is -0.084. 4o This result indicates that our earlier finding of negative post-contest-announcement returns is not caused by sample selection bias. The analysis of cancelled contests only reinforces the impression that the negative returns are a systematic phenomenon. 6.2. Changes in the ‘value of the vote’ around the record date Manne (1962) argues that during a proxy contest, there will be a temporary increase in the firm’s share price due to an increase in the market value of the vote attached to corporate shares. Because the right to vote has special value to the contesting factions, when a contest materializes those shares already held by the contesting factions can be purchased only at a higher price than the without-vote price. Similarly, since the contesting factions often purchase additional shares,4’ the price they are willing to bid for those shares is higher than the without-vote price. Thus, so long as the number of shares held by parties who do not value the right to vote (and who are willing to part with their shares for the without-vote price) is small relative to the increase in the demand to hold shares, the price of shares should rise when a proxy contest materializes. However, the price of shares should also fall when the right to vote in the contest ceases to be of importance. If this decline in the value of the vote takes place in the period between contest announcement and election outcome announcement, it could account for the negative excess returns that were observed in that period. Two points about the linkage between the value of the vote and the negative excess returns should be recognized. First, it is not required that the contesting factions actually purchase shares in order for share price to increase, or for them to cease purchasing shares for the share price to decrease. For example, if at the time the contest is announced there is simply an increase in the probability of share purchase by the contesting factions (at a premium above the without-vote value of the shares), then the stock price %I 8 cases, no outcome announcement appeared in the Wall Street Journal prior to shareholders’ meeting; however, the outcome itself was typically known as of the shareholders’ meeting, as indicated by published reports of the meeting and subsequent published accounts of the firm’s activities. In table 6, for firms lacking a published outcome announcement prior to the meeting, the meeting date is substituted for the outcome announcement date. 40Although not reported in table 6, the various pre- and post-announcement results apply regardless of contest outcome. 41See Aranow and Einhorn (1968, p. 388; see also pp. 20-21). P. Dodd and J.B. Warner,Proxy contests 429 should rise immediately to reflect the possibility.42 If, in the period between contest announcement and election outcome announcement, the probability of additional share purchases falls, so should the stock price. Second, if there exists a predictable fall in share prices between contest announcement and election outcome announcement, and if the fall is due to the eventual decline in the value of the vote implicit in the share price, then no profit opportunity from short-selling is necessarily implied. Parties who held shares and chose not to sell them because they valued the ‘dividend’ conveyed by the right to vote could demand compensation from traders who wanted to borrow the stock in order to short-sell it at contest announcement. Thus, any apparent profit opportunity suggested by the predictable fall could be illusory because it does not reflect the amount of such compensation, and ignores the issue of from whom and on what terms a trader can borrow the shares in order to short-sell them. 6.2.1. Testing the value of the vote hypothesis One test of the argument that the observed negative excess returns are due to declines in the value of the vote is to examine abnormal returns around each contest’s respective ‘record date’.43 Shares purchased after the record date can only be voted under special circumstances, such as the case where the purchase of shares was made contingent on the transfer of the seller’s for transferring the right to vote involve right to vote. 44 If such arrangements transactions costs that are not borne prior to the record date, then the record date is a potentially important one after which the likelihood of additional share purchases declines. 45 In that case, negative excess returns should be observed at the day after the record date, and possibly thereafter if the probability of share purchase declined further in the period following. From table 7, the day after the record date does appear to be of some significance.46 For the 42 contests with available data and where the record 421t is not even required that there be any expectation of share purchase by the contesting factions for the share price to rise. If the right to vote in the election has some value to all parties already holding shares at the time the contest becomes likely, shares can be purchased from those parties only at a higher price than the without-vote price. 43Negative excess returns around the record date were suggested by Manne (1962, p. 412, fn. 39), who noted such a phenomenon in the 1961 Allegheny Corporation proxy fight, and who discussed the relationship of that finding to his hypothesis that the right to vote shares has a market value. 44Aranow and Einhorn (1968, p. 388). 45Exchange personnel, brokers, and lawyers have suggested to us that, in a transaction on the stock exchange, the transfer of the right to vote after the record date is ‘somewhat impractical’ or ‘very difftcult’. However, even if that alternative is very costly, the possibility of a private sale exists and is sometimes used. Thus, the record date is not a strict cut-off date for acquiring the right to vote shares. Moreover, after the record date, share prices in transactions on the exchange should continue to reflect any value of the vote premium still available through alternative arrangements. ‘“Record dates for table 7 were obtained from the NYSE and AMEX Weekly Bul/etin,~. P. Dodd and J.B. Warner, Proxy contests 430 Table I Excess returns around the record date for firms having proxy contests, time period: 1962-1978). contests (full sample size: 96 Mean Residuals and Mean Cumulatiue Residuals (Z-statistics in parentheses) Contests Day(s) relative record date to -9 through -5 -4 through 0 where the record Precedes (or coincides contest announcement -0.011 - (0.80) with) date: Follows contest announcement 0.001 (0.15) 0.017 (1.69) -0.011 -(1.30) +1 - 0.0003 - (0.49) -0.014 -(3.02) +2 0.005 (0.55) -0.010 -(2.62) 0.019 (1.64) - 0.036 -(3.68) 1 through 5 6 through 10 -0.011 -(0.21) -0.017 -(1.73) Excess Returns Between Contest Announcement and Election Outcome Announcement Mean cumulative residual - 0.028 -0.061 Z-statistic - 1.42 -2.35 -0.051 -0.053 Median residual cumulative Number of contests with available data 47 42 Mean number days 36 15 of date follows contest announcement, the mean residual at the day after the record date is -0.014, with a Z-statistic of -3.02, and the median residual is -0.012. Furthermore, for those contests, the mean residual at day + 1 relative to the record date has the smallest value of any day from the 20th day prior to the record date through the 20th day following the record date. Thus, even given the prior knowledge that for these contests the day after the record date occurs during a period of negative abnormal performance, performance on that day still seems unusual. At the same time, however, contests where the record date precedes contest announcement do not appear to have strongly significant negative excess returns at the day after the record 431 P. Dodd and J.B. Warner. Plo.~y contest.x date. For those 47 contests, the mean residual at day + 1 relative to record date is -0.0003, with a Z-statistic of -0.49.47 From table 7 it also appears that all the sample contests have indications of negative abnormal performance following the day after the record date. For those contests where the record date precedes contest announcement, the mean cumulative residual between contest announcement and election outcome announcement is -0.028, with a Z-statistic of - 1.42; while these figures are somewhat higher than the corresponding values for contests where record date follows contest announcement, the median values of - 0.051 and -0.053 are quite similar for each subsample. In addition, for firms where record date follows contest announcement, the mean cumulative residual for day +2 relative to record date is -0.010, with a Z-statistic of -2.62. For days 6 through 10 relative to record date, the mean cumulative residual is -0.017, with a Z-statistic of - 1.73. The implications of these findings are mixed. The results indicate that the value of the vote explanation has merit, and that changes in the value of the vote were responsible for at least a portion of the negative excess returns between contest announcement and election outcome announcement. In particular, negative excess returns at the day after the record date are explicitly predicted under the value of the vote hypothesis. However, for all contests there are negative excess returns following the day after the record date. While consistent with the value of the vote hypothesis, those returns could also come about if the sample securities were simply mispriced in the marketplace. In that sense, a portion of the negative excess returns between contest and election outcome announcements is yet unexplained.48 6.3. The pattern of excess returns in calendar time To investigate whether the negative excess returns between contest *‘That a fall in share prices at the day after the record date would be detected only for contests where the record date follows contest announcement is perhaps not surprising. For contests where the record date precedes contest announcement, at the record date a dissident campaign was not anticipated by the market with probability 1; one piece of evidence to support this view is that our earlier finding of positive abnormal performance in the 10 days preceding actual contest announcement applies regardless of whether the record date precedes or follows contest announcement. If at the record date, a contest was not viewed as highly likely, then any decline at the record date in the perceived probability of share purchase at a premium would tend to be small. Thus, the prediction of a share price fall at the day after the record date would appear to apply less strongly to firms where record date precedes contest announcement than to those where record date follows contest announcement. 480ne alternative test of the value of the vote hypothesis was also carried out, but did not radically alter this mixed picture. All other things equal, those firms with the largest pre-contestannouncement abnormal price increases due to increases in the value of the vote should also have the largest abnormal price falls between contest announcement and election outcome announcement due to decreases in the value of the vote. However, several tests for association between the pre-announcement increase and the post-announcement decrease in share prices generally failed to reject the null hypothesis of no association. P. Dodd and J.B. Warner, Proxy contests 432 announcement and election outcome announcement persisted throughout the 1962-1978 sample period, or were present only at certain times within that period. Table 8 reports excess returns between these dates for two different subsamples. The first subsample consists of those contests where contest announcement appeared prior to 1968; the second subsample consists of those contests taking place during or following 1968. The year 1968 is chosen simply because it is the year that results in the two subsamples having approximately equal size; similar results are obtained if instead the year 1967 or 1969 is used to partition the sample. Table 8 Excess returns announcement, from day after proxy contest announcement through day of election outcome by calendar time period in which the proxy contest took place (full sample size: 96 contests, time period: 1962-1978). Period Pre-1968 Number of contests Mean cumulative with available 40 data residual - 0.084 Z-statistic Median cumulative residual Number of positive cumulative Number seats of contests in which dissidents Mean number residuals Post-1967 49 - 0.009 -3.79 -0.11 - 0.062 -0.036 8 20 25 29 56 51 won of days Mean cumulative residual, day - 59 relative to contest announcement through day of election outcome announcement 0.073 0.089 Z-statistic 1.75 2.16 Mean cumulative residual, two-day period following record date, for contests where the record date follows contest announcement -0.031 -0.021 Z-statistic - 3.65 - 2.09 For the pre-1968 subsample, the mean cumulative residual between contest announcement and election outcome announcement is -0.084, with a Zstatistic of -3.79. For the post-1967 subsample, the corresponding mean cumulative residual is -0.009, with a Z-statistic of -0.11. These results indicate that the negative excess returns were concentrated in the earlier part of the sample period; after about 1967, the negative share price behavior during the post-announcement period largely disappears. Thus, no strong indications of a potentially profitable trading rule involving short-selling at P. Dodd und J.B. Warner, Proxy contests 433 contest announcement appear to be present in the last 10 years of the sample period. However, while the evidence of negative abndrmal performance is weak in the post-1967 period, the phenomenon does not disappear entirely. In particular, our earlier finding that firms where the record date follows contest announcement have negative abnormal performance immediately following the record date continues to be present. For the two-day period following the record date, those contests where the record date follows contest announcement (and which occur after 1967) have a mean cumulative residual of -0.021, with a Z-statistic of - 2.09; thus, the earlier indications that there are unusual changes in share prices around the record date are not specific to the first part of the sample period. In addition, as table 8 indicates, the general picture of positive share price performance associated with proxy contests also applies throughout the sample period. For the contests taking place prior to 1968, the mean cumulative residual from day -59 relative to contest announcement through the day of election outcome announcement is 0.073, with a Z-statistic of 1.75; for those contests occurring after 1967, the corresponding mean cumulative residual is 0.089, with a Z-statistic of 2.16. 6.3.1. Interpreting the calendar-time pattern of the negative excess returns The finding that the fall in share prices between contest announcement and election outcome announcement largely disappeared in the second part of the 1962-1978 sample period is consistent with at least two propositions. The first proposition is that while there had been mispricing in the marketplace, it was eventually corrected. One problem with this explanation is that there were proxy contests long before the start of the sample period in 1962. It is not obvious why it took many decades for the market to ‘learn’ about the implications of proxy contests; alternatively, if the inefficiency was limited only to the 1962-1967 period, it is not clear why, or what systematic characteristics of the contests occurring in that period would lead to the indications of a possible inefXciency. For example, table 8 indicates little difference in the dissidents’ frequency of winning seats between the two subperiods. The second proposition is that no mispricing existed in the first part of the sample period or at any time. Rather than being due to mispricing, the differential behavior of post-announcement returns for the two subsamples could have resulted because the post-contest-announcement decline in share prices due to changes in the value of the vote was greater for firms having contests in the first part of the sample period than for those having contests in the second. In that case, for the pre-1968 subsample a larger fall in share price between contest announcement and election outcome announcement would not be entirely surprising. 434 P. Dodd and J.B. Warner, Proxy contests However, the data do not strongly support the view that share price changes due to changes in the value of the vote differed between the subsamples. The drop in share prices immediately after the record date is similar for the two subsamples; in addition, while the 60-day mean cumulative residual for the period prior to contest announcement is slightly higher for the pre-1968 than the post-1967 subsamples (the figures are 0.146 and 0.104, respectively), as would be expected if the initial rise in share prices due to increases in the value of the vote were higher, the difference is not statistically significant. To sum up, at this point we do not fully understand the differential pre1968 and post-1967 behavior of returns and we cannot say with much confidence whether the differential behavior is the indication of the demise of an inefficiency or of changes in the observed value of the vote. Both explanations have serious problems. Even if the second proposition about the value of the vote is the correct one, but our tests not powerful enough to pick it up, our discussion raises a deeper set of issues. We have not indicated the factors that would have caused the value of the vote to differ across contests; merely saying that the value of the vote depends on factors such as the number of shares expected to be purchased begs the question of how the contesting factions choose a proxy contest strategy, as well as the question of what firms will be the targets of proxy contests in the first place. Future work to examine these issues is necessary before we can have a complete understanding of the underlying factors that generated the data. 7. Summary and conclusions This paper examines proxy contests for seats on the firm’s board of directors. Over a sixteen-year sample period beginning in 1962, there were 96 such contests among listed firms. These dissident challenges were often led by former insiders, suggesting that proxy contests can be one outgrowth of competition in the managerial labor market. Dissidents obtained a majority of board seats in about one-fifth of the 96 contests. Our major conclusions about the proxy contests are summarized below. 7.1. Positive share price performance associated with proxy contests There is positive and statistically significant share price performance around the time of the contests. For example, in the 40-day period prior to and including the .day of initial public contest announcement, the estimated magnitude of the average abnormal performance is 0.105, with a Z-statistic of 5.40. For many firms, virtually all of the positive abnormal performance occurs in about the lo- to 20-day period prior to (as well as including) the time of contest announcement. The concentration of the pre-announcement P. Dodd and J.B. Warner, Proxy contests 435 abnormal performance in the few weeks just before actual contest announcement, coupled with the evidence we presented that proxy contest announcements are late relative to the start of dissident activity, indicates that there is a contemporaneous association between the positive abnormal performance and the proxy contest itself. Moreover, the notion that other events such as merger activity or favorable earnings announcements could be responsible for a portion of the positive abnormal performance is unsupported by the data. 7.2. Proxy contests, economic efficiency, and board control The finding of positive abnormal performance is consistent with the benefit shareholders by transferring proposition that proxy contests corporate resources to more highly valued uses. That proposition is part of the standard economic analysis of proxy contests such as that found in some textbooks. The finding of positive abnormal performance is inconsistent with several scenarios in which the cash flows accruing to (non-management) shareholders are not enhanced by a contest, and in which the contests have either no impact or a negative impact on share prices. The evidence fails to support Berle’s (1962, p. 438) contention that the standard analysis of proxy contests, which emphasizes the efficiency implications of the contests, describes ‘a wholly imaginary picture’. Moreover, the positive share price performance holds for contests where the dissidents fail to capture majority control of the board as well as those where the incumbents are ousted. In both cases the results apply to the vast majority of the contests and the results are not driven by a few spectacular cases. Although the dissidents are seldom successful in transferring control of the board, they gain some board representation, via mechanisms such as cumulative voting, in over half of the sample contests. In this sense, success of a dissident campaign does not require a complete transfer of board control. Positive share price performance is also found for contests where incumbents win all seats. Apparently, the fact of a challenge to management is associated with expectations of improved corporate performance. However, the contest outcome itself does appear to ‘matter’, and there is evidence of a small share price reaction at the time of outcome announcement: positive in those cases where dissidents win seats and negative where they fail to win seats. Such evidence is consistent with the view that dissident representation was expected to enhance the cash flows accruing to non-management shareholders. 7.3. The market value of the vote There is evidence that a portion of the positive share price changes taking P. Dodd and J.B. Warner, Proxy 436 contests place in the early stages of the sample proxy contests was not permanent; the evidence is particularly strong for those contests occurring in the first part of the 1962-1978 sample period. The finding that some of the positive share price changes associated with a proxy contest are only temporary is predicted by Manne (1962) who argues that the market value of the vote attached to corporate shares rises temporarily during a proxy contest. In addition, we detected small but significant abnormal share price falls just after the record date, which is an important date in determining who has the right to vote shares. Such evidence lends additional support to the view that the negative excess returns detected for the later stages of the sample proxy contests were at least partially attributable to declines in the market value of the vote. Appendix This appendix gives details of the examine the statistical significance residual between any two dates, we Pate11 (1976, p. 256) and Dodd (1980, statistical tests used in the paper. To of the mean standardized cumulative employ a procedure similar to that of p. 1 11-121):49 (1) For each security j, the prediction error PE,, for each of the (d,j - dij+ 1) days in the period under study (t = d,,, dij+ 1,. . ., dzj) is standardized by the square root of its estimated forecast variance, to form a standardized prediction error, SPE,,, SPEj, = PEj,lSjt, where + Sjt = Lj 5 300. ’ r=l 4’Assumptions required for the significance tests are discussed further in both references. The advantage of the standardization procedure is that it permits the entire cross-sectional distribution of cumulative residuals to simply be compared to a unit normal, as in panel A of table 4. However, with the standardization procedure, it is possible in principle that the mean cumulative residual and the mean standardized cumulative residual will be of different sign; this might happen, for example, if most cumulative residuals are positive but there are a few extreme negative outliers having unusually large standard deviations. In such a situation, the mean cumulative residual and the Z-statistic, calculated for the mean standardized residual, can also differ in sign, although such instances rarely occur in the paper’s tables. It should also be noted that implicit in any standardization procedure is some notion of the optimal way in which to weight the observations. For example, in the calculation of the test statistic Z, the standardization implicitly tends to give less weight to cumulative residuals for firms with many days between d, and d, (and for which the variance of the cumulative residual will thus be large); such a weighting scheme could be inappropriate if the magnitude of abnormal performance between the dates is positively related to the length of time between the dates. Although not reported in the paper, we were generally unable to find such evidence of systematic association between the length of various time intervals (e.g., contest announcement to shareholders’ meeting) and the level of (estimated) abnormal performance. p. Dodd and J.B. Warner, Proxy c‘onfrst.s 431 Here s: is the estimated residual variance from the market model regression for security j, R,,, is the average market return over the Lj days used for the regression, and R,, is the return to the market index at day t. (2) For each security j, the standardized prediction errors for each of the (dzj-dlj+ 1) days of the prediction interval under study are summed to form a standardized cumulative prediction error Wj, If the prediction errors PE,, are normal and independent across t, then the standardized cumulative prediction error Wj is distributed Student-r with (Li-2) degrees of freedom; since Li is large, Wj is assumed to be distributed unit normal.” (3) To test the significance of the average standardized prediction error in a sample of N securities, we then compute cumulative where Assuming that the standardized cumulative prediction errors are independent across securities, then if the expected value of the standardized prediction error is equal to 0, the test statistic Z will be distributed unit normal for the assumed unit normal Wj’s. “The mean and median values of L, are 270 and 300, respectively. References Alchian, A. and H. 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