The Macrotheme Review A multidisciplinary journal of global macro trends

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The Macrotheme Review A multidisciplinary journal of global macro trends Signal models and the initial undervaluation of the French IPOs Afef AYADI*, Hatem MANSALI**, and Mohamed Tahar RAJHI*** * Faculté des Sciences Economiques et de Gestion de Tunis, Université de Toulon **Faculté des Sciences Economiques et de Gestion de Nabeul ***Faculté des Sciences Economiques et de Gestion de Tunis *,**,***, Researchers and members of the scientific and academic council of the IAE of Tunis (Institute of Business Administration of Tunisia www.iaetunis.com) *** Founder of the Institut d'administration des Entreprises IAE Abstract We test in this study the signal models for IPOs carried out on the second and new market on Euronext and Alternext and after 2005. According to these models, good quality firms deliberately underestimate equities at the time of the introduction on the stock exchange, and recover this cost by offering higher prices for subsequent share issues. We validate the predictions of these models on a sample of 240 IPOs carried out from 1999 to 2007, followed by 73 capital increases from 1999 to 2011. Initial undervaluation is significantly higher for firms carrying out a capital increase Later. We highlight that the probability of issuing shares after placing on the market increases with the initial undervaluation at the time of the IPO. The most undervalued firms at the time of the IPO tend to raise more capital when issuing subsequent shares. Keywords: IPO, capital increase, undervaluation, signal. 1. Introduction Several theoretical models have been proposed to explain why listed companies are on average underpriced. Allan and Faulhabet (1989), Chemmanur (1993), Grinblatt and Hwang (1989), and Welch (1989) present signal models of publicly traded companies that differ from the other models previously developed for at least two reasons. First, these models provide the issuer, not the investors or intermediaries, with superior information. Secondly, issuers explicitly take into account the possibility of carrying out a capital increase at a later date when the price of the IPO is set. Normally, in these models, the listed company raises capital and hopes to do the same in the subsequent capital increase. Good-quality firms offer an undervalued bid price at the time of the IPO to differentiate themselves from lower-quality firms and thus achieve a subsequent capital increase at a higher price. Firms of lower quality can not imitate firms of good quality. Indeed, their quality may be revealed before the capital increase, and they can not recover the benefit of undervaluing the IPO by selling the shares at a high price at the time of the issue later. Signal models have been the subject of several empirical studies. These studies, which are generally conducted in the US context, show that the initial undervaluation of securities at the time of the IPO is positively related to the probability of issuing shares during the three-year 21

period following entry into the market. They also highlight a positive link between undervaluation and the amount and effect of announcing a subsequent capital increase. Among the most important empirical studies that have tested signal models is Jegadeesh, Weinstein and Welch (1993). Using data on IPOs carried out between 1980 and 1986, Jegadeesh, Weinstein and Welch find that the probability of issuing shares and the amount of the capital increase increase with the initial undervaluation of firms introduced in stock Exchange. However, they note that these relationships are statistically significant but relatively economically weak. Moreover, the proportion of firms that carry out a capital increase is not significantly different from the quintile of the most undervalued firms and the quintile of the least underpriced firms. Spiess and Pettway (1997) highlight an important result in the empirical literature of signal models. According to their data, the original shareholders sell their shares at the time of the IPO and this is observed in half of the IPOs selected in their study and this sale of shares is not specific to more undervalued. This suggests that the initial shareholders of good quality firms do not realize the benefit of the undervaluation signal by delaying their sale of shares in subsequent issues. This behavior seems to contradict the logic of signal models. Michaely and Shaw (1994) find that the least undervalued firms at the time of the IPO generate more profits, distribute more dividends, and tend to realize more capital increases. Faugeron- Crouzet and Ginglinger (2002) test the signal models for IPOs on the second French market. On a sample of 292 IPOs carried out from 1983 to 1994 on the second French market, followed by 71 issues of shares from 1983 to 1998, they show that the initial underpricing is significantly higher for firms making an increase and decreases when the principal shareholders disengage. However, the signaling mechanism does not appear to be used for IPOs by direct listing. Under the signaling assumption, undervaluation should be lower in the presence of a significant disengagement from family shareholders, to the extent that it is deliberate and costly to them. The results obtained by these authors agree with this prediction on the sub-sample of firms owned by more than one-third by family ownership. In addition, the likelihood of using a subsequent share issue increases with the degree of disengagement of family shareholders. These results tend to validate the signaling models. On the other hand, undervaluation is more important for firms that return to the market only if family ownership is important and decreases during periods of high activity. 22

Authors Principal propositions Allen et Faulhaber (1989) The executives of the firms that are candidates for the IPO are the best informed about the future prospects of the firm. Good-quality firms underestimate their stock at the time of the IPO. The managers underestimate their company at the time of the IPO in order to leave "a good taste to investors" and to be able to recover this cost when issuing subsequent shares. Chemmanur (1993) At equilibrium, the extent of undervaluation is an increasing function of the number of investors participating in auctions. The price appreciation (if it takes place) is an increasing function of the number of investors participating in the auction. Welch (1989) The lower the probability of the firm, the lower the likelihood of undervaluation. 2. The Hypotheses for signal models In this section we develop the hypotheses for signal models. The central result of the theoretical models of Allen and Faulhaber (1989), Chemmanur (1993), Grinblatt and Hwang (1989), and Welch (1989) points to subsequent issue of shares at favorable prices. H1. The most undervalued firms at the time of the IPO are more likely to issue shares at a later date. Ibbotson and Jaffe (1975) and other authors have identified a significant autocorrelation between the number of monthly IPOs and the average monthly initial profitability at the time of the IPO. Ibbotson and Jaffe define a period of high market activity a month in which the average initial profitability is higher than that of the median. The autocorrelation of volume and initial average profitability is high: for example, during the 1990s, Loughran and Ritter (2002) show that during the months between March 1991 and August 1998 the average initial profitability is less than 30%, On the other hand, for each month between November 1998 and March 2000, the average initial profitability is higher than 30%. According to the signal models, an average undervaluation of the firms should be observed all the more important as their IPO takes place during periods of high stock market activity. Depending on the signal model, the following hypothesis is tested: H2: Firms introduced on a stock exchange during a period of high stock market activity are more undervalued. Under the assumption of the signal, the costs associated with raising capital at the time of the IPO are higher for the most undervalued firms when they are placed on the market, these firms should therefore raise more capital during of the issue of subsequent shares. We thus test the following hypothesis: 23

H3. Firms with high returns at the time of the IPO are more likely to raise larger amounts of capital in subsequent share issues. According to signal models, in the absence of information asymmetry, firms have no incentive to offer their securities at undervalued prices. As information asymmetry is less important for larger firms, all other things being equal, there should be less underestimation for these firms. We thus formulate the following hypothesis: H4. The largest firms are the least undervalued. 3. Sample On the basis of the annual reports published by Euronext Paris, we select, over the period 1999-2007, all IPOs carried out on the second and new markets and after 2005 on Euronext and Alternext. Companies entered into the primary market were not selected because they are mainly privatizations or transfers, not initial quotations. The stock data was extracted from the Datastream database. We discard transactions for which we do not have the necessary data including stock prices. Our sample includes 240 IPOs carried out between 1999 and 2007. The 240 initial public offerings carried out a total of 73 initial capital increases during the five years following the initial public offering (between 1999 and 2011). Thus, 30% of companies return to the market within five years. The breakdown of IPOs and capital increases that followed each year is given in Table 1. Table 1 : The distribution of IPOs and capital increases IPO Increase in capital Year Number Percentage Number Percentage 1999 52 21,99% 1 1,37% 2000 57 23,65% 5 6,85% 2001 11 4,56% 6 8,22% 2002 6 2,49% 10 13,70% 2003 0 0,00% 2 2,74% 2004 3 1,24% 3 4,11% 2005 27 11,20% 7 9,59% 2006 60 24,90% 6 8,22% 2007 24 9,96% 13 17,81% 2008 4 5, 48% 2009 6 8,22% 2010 5 6,85% 2011 5 6,85% Total 240 100% 73 100% 24

Table 2 presents the sectoral distribution of publicly traded companies based on the classification of the two-digit SIC code. It is not surprising that the companies studied are particularly concentrated in the "Computer Hardware & Software" sector. Indeed, in our study we cover the period of the internet bubble which has known a craze on the part of these companies. Table 2 : The sectoral distribution of publicly traded companies Sector Codes SIC à deux chiffres Fréquence Pourcentage Hydrocarbons 13, 29 1 0,42% Construction 15, 17 3 1,25% Food industry 20 4 1,67% Paper and Publishing Industry 24-27 3 1,25% Chemical products 28 12 5,00% Manufacturing 30-34 6 2,50% Computer Hardware & Software 35, 73 79 32,92% Electronic equipment 36 11 4,58% Transport 37, 39, 40-42, 44, 45 10 4,17% Scientific instruments 38 6 2,50% Communications 48 9 3,75% Electricity 49 3 1,25% Sustainable property 50 10 4,17% Wholesale 53, 54, 56 57, 59 9 3,75% Financial services 61, 62, 64, 65 16 6,67% Hobbies 70, 78, 79 8 3,33% Health 80 1 0,42% Other 10, 12, 16, 22, 23, 46, 47, 51, 52, 55, 60, 63, 67, 72, 75, 76, 82, 83, 87, 99 49 20,42% Total 240 100% Table 3 presents the descriptive statistics of the variables used in the study. As in Derrien and Degeorge (2001), the initial profitability is calculated as follows: (P 10 PO) PO where P 10 denotes the share price on the tenth day after the placing on the market and PO is the price of supply. It is generally assumed that after ten days, the security has reached an equilibrium price on the secondary market. The average initial profitability is 12.9%. In the Derrien and Degeorge (2001) sample, it is estimated at 17.5%, in that of Faugeron-Crouzet and Ginglinger (2002) it is of the order of 18.67%. Broye and Schatt (2003) estimate the initial profitability on a sample composed of 402 IPOs carried out on the new and the second market between 1986 and 2000 at 20.16%. The amount of capital raised on initial public offerings is on average equal to 38.846 million, although there is a significant disparity between the listed companies in terms of introductory volumes: the standard deviation is equal to EUR 137.781 million. Aéroports de Paris (ADP) had the largest volume of 1,190.571 million. If we divide the period of the study into two: the period of the Internet bubble 1999 and 2000, and the period between 2001 and 2007, we observe an initial average profitability of around 18.90% during the period of Internet Bubble, whereas it represents on average only 7.82% during 25

the period 2001 to 2007. Table 4 shows that the average difference is statistically significant: Student's t is equal to 2.75. Table 3: Descriptive Statistics The variables used are: UNDP, which measures undervaluation at the time of the IPO, is calculated as follows: (P 10 PO) PO where P 10 designates the share price on the tenth day after being placed on the stock market Market and PO is the offer price, IPOSIZE the amount of the IPO in EUR million, 1 / PO is the inverse of the offer price, LSALES is the natural log of the turnover before (10, 30) is the cumulative abnormal profitability between the 10th day and the 30th day after the IPO, we retain the profitability of the SBF250 as a standard, SEO is a dichotomous Value 1 if the listed company carried out a capital increase within five years of being placed on the market and zero otherwise. Variable Mean Standard deviation Min. Median Max. UNDP 0,129 0,314-0,297 0,026 2,323 IPOSIZE 38,846 137,781 0,001 9,818 1 190,571 1/PO 0,080 0,068 0,012 0,064 0,757 LSALES 10,326 1,590 5,356 10,234 15,549 CAR [10, 30] 0,010 0,134-0,515-0,010 0,634 SEO 0,304 0,461 0 0 1 Figure 1 presents the average initial profitability per year. It appears that the companies listed on the stock exchange during the year 2000 are the most undervalued on average. 0,25 0,2 0,15 0,1 0,05 0 1999 2000 2001 2002 2003 2004 2005 2006 2007 Figure 1: The initial undervaluation of IPOs in France between 1999 and 2007 26

Table 4 : Initial undervaluation at the time of the IPO by periods Period 1999-2000 Period 2001-2007 (t-stat) UNDP 18,90% 7,82% 0,11 (2,75) N 110 130 4. Empirical results 4.1. The determinants of initial undervaluation at the time of the IPO We propose in this section to study the determinants of initial underpricing at the time of the IPO. In order to do this, we retain as UNDP-dependent variable which measures the undervaluation at the IPO it is calculated as: (P 10 PO) PO where P 10 designates the share price on the tenth day after And PO is the offering price, and the following independent variables: STDDEV the standard deviation of returns within 100 days after the IPO, 1 / PO is the inverse of the price of the offer, LSALES is the natural log of the turnover before the IPO, LIPOSIZE is the natural logarithm of the amount of the IPO, BULLE is a dichotomous variable which takes the value 1 if the companies are listed on the stock exchange 1999 and 2000 and zero otherwise. Adjustment quality can be judged to be good because the adjusted R2 is equal to 0.62, that is, the independent variables explain 62% of the variance of the initial underpricing variable at the time of the IPO. The coefficient of the variable STDDEV is equal to 8.177 and significant at the threshold of 1%. This indicates that the most risky firms are also the most undervalued at the time of the IPO. The coefficient of the variable 1 / PO is equal to -0.517 with a Student t of -2.41. This suggests that IPOs with a relatively low bid price are also the most undervalued. Moreover, the coefficient associated with the variable BULLE is equal to 0.072 with a Student t of 2.39. This indicates that the firms listed on the stock market during the Internet bubble are particularly undervalued. Thus, undervaluation increases during periods of high stock market activity as predicted by signal models. We thus validate hypothesis 2. The matrix of correlation of the variables used in the model. STDDEV 1 STDDEV 1/PO LSALES LIPOSIZE BULLE 1/PO 0,218 1 LSALES -0,267-0,260 1 LIPOSIZE 0,126-0,094-0,032 1 BULLE 0,308-0,206-0,095 0,071 1 27

Table 5 : The determinants of initial undervaluation at the time of the IPO Ordinary least squares estimation of the determinants of undervaluation at IPOs. The dependent variable is UNDP, which measures undervaluation at the time of the IPO and is calculated as follows: (P 10 PO) PO where P 10 is the share price on the tenth day after placing on the market and PO is the offering price, STDDEV is the standard deviation of the returns within 100 days of the IPO, 1 / PO is the inverse of the offer price, LSALES is the natural logarithm of the profit- LIPOSIZE is the natural logarithm of the IPO, BULLE is a dichotomous variable which takes the value 1 if the companies are listed on the stock exchange in 1999 and 2000 and zero otherwise. Student's t are shown in parentheses. Independent variables Constante STDDEV 1/PO Dependent Variables UNDP -0,189 c (-1,70) 8,177 a (17,99) -0,517 b (-2,41) LSALES 0,011 (1,25) LIPOSIZE -0,003 (-1,10) BULLE 0,072 b (2,39) F 70,82 P-value 0,00 Adj R 2 0,62 N 240 a sig at 1%, b sig at 5% and c sig at 10%. 4.2. The relationship between the initial undervaluation at the time of the IPO and the subsequent capital increase We consider the relationship between the initial undervaluation at the time of the IPO and the subsequent capital increase. Firms are distributed in the order of increasing the degree of initial undervaluation and grouped into quartiles of undervaluation. Table 6 shows the fraction of firms that carried out a capital increase within five years of the IPO for each quartile. Only 15.07% of firms in the first quartile of undervaluation issue shares, compared to 50.88% of firms in the last quartile of the initial undervaluation. This shows that the most undervalued firms are returning to 28

the market. The table also shows the fraction of firms that issue shares in the quartiles of cumulative abnormal returns over the 10-30 day period after the IPO. The differences between the fractions are also particularly high between the extreme quartiles. Table 6 : The percentage of firms that carried out a capital increase divided into quartiles according to the degree of undervaluation at the IPO and according to the cumulative abnormal returns in the 100 days following the initial public offering. Quartile % Of firms with a capital increase % Of firms with a capital increase UNDP % CAR [10,30] % 1-8,50% 15,07% -0,12 21,92% 2 0,6% 15,07% -0,03 24,66% 3 9,17% 16,42% 0,01 17,81% 4 50,88% 53,42% 0,18 35,62% From Table 7, it appears that large firms are the most undervalued at the time of the IPO. Indeed, the first quartile has an average initial profitability of around 2.81%, while the last quartile has an average initial profitability of 21.11%. Moreover, large firms appear to be returning to the market: 19.18% of the firms in the first quartile return to the market, while 27.40% of the firms in the last quartile return to the market. As information asymmetry is less important for larger companies, all other things being equal, undervaluation is expected to decrease with the size of firms that are publicly traded according to signal models. In our sample, large firms appear to undervalue their securities more at the time of the IPO. This result contradicts the predictions of signal models. Thus, we do not validate hypothesis 4. However, these firms return more to the market to recover the cost of the signal. Table 7 : The distribution of listed companies in quartiles according to the size as measured by the market capitalization at the time of the IPO. Quartile UNDP % Of firms with a capital increase 1 2,81% 19,18% 2 9,90% 23,29% 3 17,77% 30,14% 4 21,11% 27,40% 4.3. Probability of issuance of shares We propose to test the hypothesis that the probability of the issuance of shares is related to the initial undervaluation of listed companies and profitability after listing, by estimating the following model: P i = e α+x i β+u i (1 + e α+x i β+u i ) 29

Where P i is the probability that the i th firm emits actions and x i is a column vector of the independent variables. The independent variables used in the model are as follows: UNDP is the initial undervaluation at the time of the IPO, CAR [10, 30] is the cumulative abnormal profitability between the 10th day and the 30th day after the introduction On the stock market we retain as standard the profitability of the index SBF250, and LIPOSIZE the natural logarithm of the amount of the IPO. Table 8 presents the results of the logistic regression. The coefficient associated with the UNDP variable is equal to 4.413 and significant at the 1% threshold. This result indicates that the likelihood of post-market issuance increases with initial undervaluation at the time of the IPO. The coefficient associated with the CAR variable [10, 30] is equal to 6.575 and significant at the 10% threshold. This suggests that the relationship between post-market price appreciation during the period between the 10th day and the 30th day and the subsequent issuance of shares is strong. Table 8: The results of the logistic regression between the initial undervaluation at the time of the IPO and the probability of subsequent issuance of shares The dependent variable is set to 1 if the listed company issues shares within 5 years of its entry on the market and zero if not. The independent variables are: UNDP is the initial undervaluation at the time of the IPO, [10, 30] is the abnormal profitability accumulated between the 10th day and the 30th day after the IPO we retain as standard The profitability of the SBF250 index, and LIPOSIZE the natural logarithm of the amount of the IPO. The beta coefficient is given and the Wald statistic is given in parentheses. UNDP CAR [10, 30] 4,413 a (2,80) 6,575 c (1,72) LIPOSIZE 1,029 (0,78) Log likelihood -138,740 Pseudo R 2 0,054 N 240 a sig at 1% b sig at 5% c sig at 10% 4.4. Undervaluation and size of issues of subsequent shares We use the Tobit model to test the hypothesis that the amount of the capital increase is tied to profitability at the time of the IPO. The Tobit model is a censored model unlike the dependent variable, we observe x_i for the whole sample. The tobit regression specifies the relationship between the amount of the capital increase and the explanatory variables as follows: (SEO IPO ) i { α + x i β + u i si RHS > 0 0 else, 30

Where (SEO IPO) i is the amount of the capital increase (SEO) raised by the ith firm in relation to the amount of the IPO. The vector of the independent variables xi is composed of: UNDP is the initial undervaluation at the time of the IPO, CAR [10, 30] is the cumulative abnormal profitability between the 10th day and the 30th day after the introduction in Stock market we retain the profitability of the SBF250 index as a standard, and LIPOSIZE the natural logarithm of the amount of the IPO. This specification takes into account the fact that the amount of the capital increase takes the value of zero for listed companies that have not issued a subsequent share issue. Thus, the Tobit specification takes into account the fact that the data is censored to the left. Table 9 : The results of the tobit regression between the initial undervaluation at the time of the IPO and the size of the subsequent share issue The dependent variable is the size of the share issue, measured by the ratio between the amount of the capital increase and the amount of the IPO, the amount of the capital increase becomes zero if The listed company did not issue shares within 5 years of being placed on the market. Independent variables are: UNDP is the initial undervaluation at the time of the IPO, CAR [10, 30] is the cumulative abnormal profitability between the 10th day and the 30th day after the IPO, Norm the profitability of the SBF250 index, and LIPOSIZE the natural logarithm of the amount of the IPO. The statistic t is given in parentheses. Constante UNDP -8,455 a (-4,67) 2,273 c (1,93) CAR [10, 30] 1,563 (0,56) LIPOSIZE 0,551 a (3,24) Log likelihood -242,90 Pseudo R 2 0,045 N 240 a sig at 1% b sig at 5% c sig at 10% Table 9 shows the results of the Tobit regression. The coefficient associated with the UNDP variable is equal to 2.273 and statistically significant at the 10% threshold, indicating that firms most undervalued at the time of the IPO tend to raise more capital during issuance, Actions. The coefficient associated with the variable LIPOSIZE is equal to 0.551 and significant at the 1% threshold, indicating that firms that raise significant capital at the time of the IPO appear to do the same when issuing subsequent shares. On the other hand, contrary to the results obtained by Jegadeesh, Weinstein and Welch (1993) in the American context, we do not show a relationship between the price appreciation just after the IPO and the increase in capital. 31

5. Conclusion In this article, we studied the IPOs followed by the issuance of shares on the French market by adopting the signal models as an analysis framework. In this context, issuers report their private information about the value of their projects by underestimating their IPOs. These models suggest that the most undervalued listed firms are (a) more likely to issue shares at a later date; (B) more likely to raise significant capital in subsequent capital increases. On a sample of 240 IPOs followed by 73 capital increases, we confirm the link between initial undervaluation at the time of the IPO and the subsequent issuance of shares. We highlight that the probability of issuing shares after placing on the market increases with the initial undervaluation at the time of the IPO. We also show that large firms are the most undervalued at the time of the IPO, contrary to the predictions of the signal models. Moreover, according to the signal hypothesis, firms with high returns at the time of the IPO are more likely to raise more capital when issuing subsequent shares. Our observations are consistent with this prediction. References: Allen, F. et G. Faulhaber, 1989, Signaling by Underpricing in the IPO Market, Journal of Financial Economics, vol. 23, p. 303-323. Broyes G. et A. Schatt, 2003, Sous-évaluation à l introduction et cessions d actions par les actionnaires d origine : le cas français, Finance Contrôle Stratégie, vol. 6, p. 67-89. Chemmanur T., 1993, The Pricing of Initial Public Offerings : a Dynamic Model with Information Production, Journal of Finance, vol. 48, p. 285-304. Degeorge F., et F. Derrien, 2001, Les déterminants de la performance à long terme des introductions en bourse : le cas français, Banque et Marchés, n 55, p. 8-18. Faugeron-Crouzet A.M. et E. Ginglinger, 2001, Introduction en bourse, signal et émissions d actions nouvelles sur le second marché français, Finance, vol. 22, p. 51-74. Grinblatt, M. et C. Hwang, 1989, Signaling and Pricing of New Issues, Journal of Finance, vol. 44, p. 393-420. Ibbotson, R.G., et J.F. Jaffe, 1975, Hot issue markets, Journal of Finance, vol. 30, p. 1027-1042. Jegadeesh N., Weinstein M. et I. Welch, 1993, An empirical investigation of IPO returns and subsequent equity offerings, Journal of Financial Economics, vol. 34, p. 153-175. Loughran, T., et J.R. Ritter, 2002, Why don t issuers get upset about leaving money on the table in IPOs?, Review of Financial Studies, vol. 15, p. 413-443. Michaely R., et W.H. Shaw, 1994, The Pricing of Initial Public Offerings : Tests of Adverse Selection and Signaling Theories, Review of Financial Studies, vol. 7, n 2, p. 279-319. Spiess, D.K. et R.H. Pettway, 1997, The IPO and first seasoned equity sale : issue proceeds, owner/managers wealth, and the underpricing signal, Journal of Banking and Finance, vol. 21, p. 967-988. Welch, I., 1989, Seasoned Offerings, Imitation Costs, and the Underpricing of Initial Public Offerings, Journal of Finance, vol. 44, p. 421-449. 32