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      The debate over the pricing of initial public offerings has been  vigorous.  
        In his op-ed column in The New York Times, Joe Nocera wrote on Saturday that LinkedIn “was  scammed by its bankers,” who underwrote LinkedIn’s initial public offering. The  evidence: the money LinkedIn “lost” by underpricing its I.P.O. 
        On Monday Andrew Ross Sorkin disagreed on DealBook,  offering several reasons why LinkedIn may have benefited from such underpricing  and inviting a dialogue on the issue.  
        Who’s right?  
        Luckily for all of us, there are academics who have devoted their entire  careers to studying I.P.O. underpricing. That is, why do companies’ repeatedly  go public at a price significantly lower than the first-day closing price? In  LinkedIn’s case, the underpricing was more than 100 percent, the amount  LinkedIn’s shares rose on the first day of trading.  
        Academics have found that I.P.O. underpricing is ubiquitous. Jay  Ritter has documented underpricing over the years. According to Professor Ritter, the average  underpricing for I.P.O.’s in the United States was 14.8 percent from 1990 to  1998, 51.4 percent from 1999 to 2000 and 12.1percent from 2001 to 2009.  
        Over the last 50 years, I.P.O.’s in the United States have been  underpriced by 16.8 percent on average. This translates to more than $125  billion that companies have left on the table in the last 20 years.  
        I.P.O. pricing is also a worldwide phenomenon. In China, the  underpricing has been severe, averaging 137.4 percent from 1990 to 2010. This  compares with 16.3 percent in Britain from 1959 to 2009. In most other  countries, I.P.O. underpricing averages above 20 percent. 
              What explains this widespread phenomenon? There are a number of  overlapping and nonexclusive theories: 
      Information Asymmetry  
        The most prominent explanation and the one with the most empirical  support is that I.P.O. underpricing occurs because of informational asymmetry.  
        The information asymmetry theory assumes that the I.P.O. pricing is a  product of information disparities.  
        This theory takes a variety of forms, but the most influential one was  put forth by Kevin Rock almost a quarter-century ago. He theorized that  uninformed investors bid without regard to the quality of the I.P.O. Informed  investors bid only on the offerings they think will gain superior returns. But  with weak I.P.O.’s only uninformed investors will bid and lose money. The  losses are so great that the uninformed investors will eventually leave the  I.P.O. market. 
        If you were an economics major, you might recognize this problem as a  “lemon theory” — named after George Akerlof’s famous paper on how used cars are priced when information is uncertain.  
        The underwriters, however, need the uninformed investors to bid since  informed investors do not exist in sufficient number. To solve this problem,  the underwriter reprices the I.P.O. to bring in these investors and ensure that  uninformed investors bid. The consequence is underpricing. 
        This theory has found empirical support in papers that have found that when  investment banks can allocate shares in greater measure to informed investors,  the underpricing is reduced since the compensation needed to draw uninformed  investors is lower.  
        Underpricing has also been found to be lower when information about the  issuer is more freely available so that uninformed investors are at less of a  disadvantage.  
        Another informational-based theory for I.P.O. underpricing is known as  informational revelation. This theory centers on the book-building process, the  mechanism by which an underwriter builds a book of potential investors and the  prices and number of shares they are willing to purchase.  
        The book-building process is intended for the underwriter to assess  demand and obtain information from potential buyers about what price buyers are  willing to pay. In order to incentivize investors to disclose sufficient  information about the price they believe is appropriate, underwriters allocate  fewer shares to potential purchasers who bid low.  
        But underwriters still discount the stock to incentivize aggressive  bidding and to ensure that the bids are not even lower since the more bids  there are, the more information is revealed about the appropriate price for the  stock. Issuers accept this underpricing because it allows underwriters to  better gauge a higher sale price. This theory too has found empirical support  in the academic literature.  
        A third strand of the informational asymmetry theory asserts that  underpricing is associated with the weakness of the issuer. The underpricing is  intended to compensate the purchasers for this weakness. This theory has found  weak evidential support. 
      Investment Banking Conflicts  
        The investment bank conflict theory, the one Mr. Nocera supports, posits  that investment banks arrange for underpricing as a way to benefit themselves  and their other clients. There is some mixed evidence to support this argument.  
        A number of papers have found that investment banks do respond to  appropriate incentives to reduce underpricing. Higher I.P.O. commissions have  been found to reduce underpricing. At least one paper has found that  underpricing is reduced by more than 40 percent when an American bank and  American investors are involved. This is attributable to the higher  underwriting fees that American investment banks charge. 
        In addition, the greater the underwriter’s stake in the I.P.O. through  ownership of the offered shares, the less underpricing, though there is  conflicting evidence on this point. Papers have also found that underwriters  who incorrectly underprice their business do lose the chance for future  I.P.O.’s.  
      Managerial Conflicts  
        The managerial conflict theory posits that management is the primary  cause of the underpricing. In its principal form, the manager conflict theory  postulates that management creates excessive demand for I.P.O. shares in order  to ensure that management can sell their holdings after a contractual 180-day  lockup for a higher price.  
        Alternatively, management allows underpricing to ensure that there are  many purchasers of the shares. This means there are no large shareholders  created by the I.P.O., shareholders who may be more incentivized to replace  management. There is not much evidence to support either form of this theory.  
      Litigiousness and Regulation  
        This theory posits that the underpricing is because of American  securities laws that impose strict liability on the issuer and underwriter for  material misstatements and omissions made in connection with the I.P.O. The  underwriter deliberately underprices the I.P.O. to ensure that even if there is  such a misstatement or omission the purchasers do not have a claim since these  failures are priced in the I.P.O. This theory has not found much support  primarily because regulatory schemes in other countries are much laxer yet  I.P.O. underpricing happens there as well. 
      Behavioral Explanations  
        These theories have gained attention in the wake of the technology  bubble. One form of this theory posits that either institutional investors or managers  gain from taking advantage of retail shareholders who act irrationally or  otherwise against their economic interests. And that both institutional  shareholders and managers therefore underprice I.P.O.’s to lock in these gains.  A variation of this theory posits that it is the institution that allows this  underpricing as a result of its own inability to recognize the loss. There is  uncertain evidence for these behavioral theories, but they do help in  explaining extreme rises like LinkedIn’s. 
        And these are but a few of the competing theories for I.P.O.  underpricing. They may explain I.P.O. underpricing of 10 percent to 20 percent,  but they don’t explain the extreme underpricing of a debut like LinkedIn’s.  
        Mr. Sorkin discusses some reasons why this may be appropriate, including  a need to show a successful I.P.O. rather than a price drop and the fact that  LinkedIn may gain by selling its shares later at a higher price.  
        These may be the reasons, or perhaps Mr. Nocera is right. But I have my  own theory that overlaps a bit with Mr. Sorkin’s.  
        If LinkedIn had sold the same number of shares as it did last week at  about $100 per share, it would have made an extra $200 million or so. But this  assumes that there were enough investors willing to buy shares at that level.  LinkedIn and the other shareholders sold less than 10 percent of the firm’s  outstanding shares. A sale at $100 a share would have reduced demand and  certainly wouldn’t have given the company the publicity it did.  
        Now, LinkedIn can wait and sell shares later at this higher price,  gaining more money in the aggregate.  
        The company, meanwhile, received national publicity for its Web site,  something that may be worth the tens of millions of dollars alone, if not more. 
 
          
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