Ex-Dividend Pricing, Taxes and Arbitrage Opportunities: the Case of the Portuguese Stock Exchange JORGE FARINHA* and MIGUEL SORO** Keywords: ex-dividend pricing, arbitrage, taxes, international financial markets, market efficiency JEL Classification: G12, G14, G15 *CETE-Centro de Estudos de Economia Industrial, do Trabalho e da Empresa, Faculdade de Economia, Universidade do Porto, Rua Roberto Frias, 4200-464 Porto, Portugal. Tel. (351)225571100, Fax (351)-225505050. E-mail: [email protected]. ** Banco Espírito Santo S.A., Rua José Falcão, 132 2º, 4050-315 Porto, Portugal. Tel. (351)-938243739, Fax (351)-222063383. Email: [email protected] (corresponding author). This version: June, 2006 Ex-Dividend Pricing, Taxes and Arbitrage Opportunities: the Case of the Portuguese Stock Exchange JORGE FARINHA and MIGUEL SORO ABSTRACT This paper examines the ex-dividend stock price behaviour in the Portuguese Stock Exchange between 1993 and 2002, a unique period characterized by a richness of different investor tax statuses and several tax changes. After classifying investors according to their tax profile and corresponding dividend tax discrimination factors, we find that the pursuit of a short-term trading strategy around the ex-dividend day does not yield significant abnormal returns after tax and bid-ask costs. These results are in accordance with the inexistence of arbitrage opportunities even when extreme tax situations are considered under different dividend yield scenarios. It is also shown that the observed ex-dividend price reduction is consistent with a tax explanation and in disagreement with market microstructure arguments. Further tests indicate that the price change is not significantly different from the expected theoretical price reduction for a marginal investor which we identified most likely as a long-term shareholder in high-tax brackets. Finally, our results only provide a weak support for the clientele hypothesis. Since Elton and Gruber’s (1970) seminal work, a lot of attention has been paid to the relationship between taxes and the price behaviour around the first day when stocks trade without dividend rights (the ex-dividend day). Even before Miller and Modigliani’s (1961) Dividend Irrelevance Proposition, Campbell and Beranek (1955) had already reported a 90% drop of the exdividend stock prices, on average, related to the dividend value at exdividend. Their justification for this fact was the existence of an asymmetric tax treatment of dividends versus capital gains. This paper provides an additional empirical contribution on the way taxes influence ex-dividend pricing and on the potential existence of tax-induced arbitrage opportunities by analyzing the uniqueness of the 1993-2002 Portuguese setting characterized not only by a rich set of different investor tax profiles but also by a number of major tax changes. In a hypothetical taxfree environment, where all investors behave rationally, one can expect the ex-dividend price reduction to be equal to the gross amount of the dividend paid out. However, when taxes are introduced, and specially under the typical scenario where dividends are more taxed than capital gains, the investor will cease to be indifferent to the way firm cash-flows are distributed, and will seek the strategy that will yield the largest after-tax return. Under those circumstances, one should expect that the ex-dividend price reduction to be smaller than the amount of the dividend if taxes on cash payouts are higher than those on capital gains. Although a fair number of papers have already dwelled on this issue, as is the case with Barclay (1987), Lasfer (1995) and, more recently, Bell and Jeckinson (2002), Lasfer and Zenonos (2003), and Elton et al (2003), the contribution of this study is 2 twofold. First of all, there are no empirical studies on the Portuguese Stock Exchange that have borne in mind the different tax characteristics of its investors. Similarly to the US and many European countries such as the United Kingdom, Italy France or Germany, the prevailing Portuguese tax regime provides a preferential tax treatment of dividends versus capital gains. This allows us to analyze if the Portuguese tax setting has the same impact on prices as observed in other markets. Secondly, our paper also provides a test for the existence of tax-induced arbitrage opportunities for different classes of investors in the Portuguese Stock Exchange. Following Elton and Gruber’s (1970) methodology, and taking into account the Portuguese tax environment, this study also attempts to identify not only if a tax effect is found on the ex-dividend price behaviour but also whether it is possible, for any investor tax class, to earn risk-adjusted abnormal returns from a short-term trading strategy around the ex-dividend day. For this empirical testing we distinguish all the different investor tax classes that can be found under the Portuguese tax system and their potential reactions to a dividend distribution. Contrary to the predictions of the tax hypothesis, Kalay (1982) suggests that it is the intensity of trading activity of arbitrageurs that, in the presence of transactions costs, will force a price reduction smaller than the dividend. A complementary perspective is that of Boyd and Jagannathan (1994), who, in addition, consider market specific features to be also of significant relevance in the explanation of the price behaviour around dividend payments. The results in this paper challenge earlier findings for the Portuguese market obtained by Borges (2001). As opposed to Borges (2001), we find that the tax hypothesis is the major force behind the ex-dividend pricing behaviour. Our results also reveal, similarly to a number of recent studies, weak evidence concerning the presence of a clientele effect, as well as the inexistence of any market peculiarities of the Portuguese Stock Exchange that could help to explain the price formation around the ex-dividend day. In addition, a striking result in our study is the conclusion that the ex-dividend price behaviour in the Portuguese Stock Exchange is consistent with the semistrong efficiency hypothesis where no investors, regardless of their tax position, can achieve abnormal returns after tax and transaction costs from a short-term trading strategy around the ex-dividend day that attempts to take advantage of potential tax-induced arbitrage opportunities. The remainder of this paper is organized as follows. In Section I we briefly present a literature review on the main theoretical issues and empirical studies focusing on the relation between dividends and taxes. Section II characterizes the evolution of the Portuguese tax system between 1993 and 2001. In Section III we propose our research hypotheses. Section IV describes the sample and methodology used. Empirical results are presented in Section V. Finally, Section VI summarizes the major conclusions of the paper. 3 I. PREVIOUS LITERATURE The first papers that considered taxes to be an important concern in the analysis of investors’ behaviour were Farrar and Selwyn (1967) and Brennan (1970). Assuming an unfavourable tax treatment of dividend versus capital gains, Brennan (1970) argues that for a given level of risk, the rate of return required by a stock investor is a positive linear function of the dividend yield1 as follows: Ri , t − rnr , t = ∂ o + ∂1 ⋅ β i , t + ∂ 2 (DYi , t − rnr , t ) + µi , t (1) where Ri ,t : Return for stock i in period t; rnr , t : Risk-free rate of return in period t; ∂1 : Impact of Systematic risk factor β i,t on Ri ,t ; ∂2 : Dividend impact coefficient on Ri ,t ; β i,t : Systematic risk factor of stock i in period t; DYi , t : Dividend yield of stock i, at the end of period t; µi, t : Stochastic error term Equation (1) shows the relationship between before-tax expected return, systematic risk and dividend yield, from which one expects that, if ∂ 2 is statistically different from zero, one can conclude that investors will demand a higher before-tax required return when in presence of higher dividend yield stocks, so as to compensate larger tax costs. Although some studies have confirmed a positive correlation between risk-adjusted returns and dividend yield, there remains quite a degree of controversy about this theoretical framework. Hess (1982) and Miller and Scholes (1982), among others, argue that the relationship between returns and yields is too complex to be justified solely on tax grounds. As an alternative perspective, Black and Scholes (1974) use the clientele explanation2 introduced by Miller and Modigliani (1961) to argue in favour of a neutrality hypothesis for dividends which states that if investors demand higher returns for stocks with higher dividend yields, companies will lower their dividend payouts so as to reduce their cost of capital and thus permanently increase their stock price. However, market dynamics would ensure that in equilibrium the supply and demand for stocks The dividend yield is the ratio between the gross amount of the dividend and the stock price. The clientele effect is characterized by the existence of homogenous groups of agents that hold different classes of assets according to their preferences. Such clienteles can be formed according not only to investors’ tax statuses but also to their risk-taking profiles. This explanation could help to understand why dividend policies usually are quite stable in most companies. In fact, if important and frequent dividend policy changes occurred in a firm, its shareholders would likely replace their investments in favour of a company which they would see as having a dividend policy more in line with their tax statuses. However, in a real-life setting, the existence of several market frictions, such as transaction costs, could translate into an important limitation to the willingness of those investors to jump from one investment to another. 1 2 4 would be such that no relationship should be expected between returns and dividend yields. Within the clientele effect framework, Elton and Gruber (1970) present their theoretical argument by relating the marginal tax rates (on dividends and capital gains) and price changes around the ex-dividend day. According to their hypothesis, Elton and Gruber (1970) anticipate that ex-dividend prices will be formed in a way so as to ensure that the marginal investor will be indifferent between any particular market timing to sell stocks3. Assuming risk-neutral investors and no transaction costs, the equilibrium in such market is presented as follows4: Pc − t gc (Pc − Po ) = Pe − t gc (Pe − Po ) + D (1 − td ) (2) where Pc : Cum-dividend price; Pe : Ex-dividend price; Po : Stock price at acquisition; td : Dividend tax rate; t gc : Capital gains tax rate; D : Gross dividend. Equation (2) can also be expressed as5: Pc − Pe 1 − td = D 1 − t gc (3) Using Re instead of the ratio between the price change and the dividends (QVP), we find 3 More precisely, the authors consider that an investor holding a stock that is approaching its exdividend day will look for the strategy that will ensure the highest return possible according to his expectation for the ex-dividend stock price. If the investor chooses to sell the stock cumdividend (i.e., until the last day the share trades with full dividend rights), the stock will be sold at a higher price implying that the marginal taxes will be computed over the difference between the selling and the acquisition price. Otherwise, if the investor decides to sell the stock exdividend, it will receive the dividend but will observe a stock price reduction as the stock does not maintain any dividend rights when it is sold. In this case, the investor’s tax bill will include the tax on the dividends received and the tax on (smaller) capital gains (calculated over the difference between the selling price and the acquisition price). In equilibrium, prices will be such that the marginal tax burden will be independent from any particular dividend distribution policy. 4 Note that the left-hand side of (2) is the return that an investor would get when selling the cum-dividend stock, while the right-hand side presents the alternative strategy of selling it on ex-dividend. 5 Notice that the left-hand side of the equation is the ratio between the price change and the dividend (QVP) while the right-hand side is the tax discrimination factor between dividends and capital gains (TD). 5 Re = Pe − Pc + D D td − t gc = (1 − QVP ) = Pc 1 − t gc Pc D Pc (4) According to Elton and Gruber (1970), the ratio between the price change and the dividend (QVP) allows the estimation of the marginal tax rate for the marginal investor. From such formulation one can also derive the basis for justifying the clientele hypothesis: bearing in mind the usual asymmetry in the tax treatment of dividends versus capital gains, investors holding high dividend shares (that is, firms where a large proportion of profits are distributed) should be positioned in low tax brackets in comparison to those shareholders holding low dividend yield stocks. The tax effect has been tested extensively, either under settings of changing tax regimes [Barclay (1987), Lasfer (1995), Bell and Jeckinson (2002)], different countries [Menyah (1993), McDonald (2001), Lasfer and Zenonos (2003)] or over different kinds of asset classes [Shaw (1991), Michaely and Murgia (1995), Elton et al (2003)]. The results of these studies are largely consistent to Elton and Gruber’s (1970) findings: On one hand, prices will reflect the differential taxation of dividends and capital gains; on the other hand, price changes are positively correlated with the dividend yield, referring this interpretation as the clientele hypothesis. In contrast to Elton and Gruber’s (1970) tax effect, Kalay’s (1982) arbitrage hypothesis considers that the tax system does not influence prices but does affect the behaviour of investors. Kalay (1982) clarifies that the actions of short-term investors (arbitrageurs), for whom there is no differential taxation, will force the ex-dividend price reduction to be precisely equal to the dividend amount. In this context, the fact that prices do not fall according to the exact value of the dividend is not related to tax effects but to transaction costs instead. Eades et al (1984) show evidence consistent with Kalay’s (1982) hypothesis, noting a drop in excess returns caused by a change in transaction costs in the US market from 1975 onwards. Lakonishok and Vermaelen (1986) also confirm Kalay’s (1982) argument as they identify (also for the US) a significant increase in transaction volume around the ex-dividend day which is more pronounced for high dividend yield stocks. More recent literature has been suggesting that, even when arbitrageurs are absent from the market, ex-dividend price formation may be influenced by factors other than taxes. Frank and Jagannathan (1998) observe that, although there are no taxes on dividends or capital gains for listed companies on the Hong Kong Stock Exchange, prices still fall at the ex-dividend date by an amount which is smaller than the dividend. The authors justify this with a market microstructure argument. Similarly, Bali and Hite (1998) remind that the fact that prices are a discrete and not a continuous function can have an impact on the way prices are formed around the ex-dividend day, lending thus support also for a market microstructure argument which can compete with tax or clientele stories. 6 II. THE PORTUGUESE TAX SYSTEM Portugal endured a significant tax reform in 1988 with the creation of the new IRS (Personal Income Tax) and IRC (Corporate Income Tax) codes. One of the major changes such codes introduced was the elimination of the old double taxation regime by allowing a regime of partial imputation (or partial credit) for corporate tax paid. According to the new tax scheme, dividendreceiving shareholders could benefit from a dividend tax credit fraction of corporation tax already paid by the company6. Apart from Portugal, similar tax credits are observable in many other European countries such as France, Italy, Ireland and the United Kingdom. Under the Portuguese tax system it is possible to classify investors into four different tax categories: i) Individuals (Classes A.1, A.2, B.1 and B.2); ii) Corporations classified into the so-called “Less Favourable Tax Regime” (Class C); iii) Corporations classified into the so-called “More Favourable Tax Regime” (Class D); and iv) Tax-Exempt Investors (Class E). Of all these four major groups, only the first two benefit the dividend tax credits system. Regarding these, one should clarify the exact tax system that took place during our sample period. From 1988 on, dividends were taxed as soon as they were paid by applying an appropriate withholding income tax rate. Furthermore, only in the case of individual shareholders, such withholding tax rate (taxa liberatória) could be a final tax rate that freed them from further tax liabilities. Companies, however, were required to add such income to all other sources of income for taxation purposes7. Lastly, at the time of applying the effective tax rate on the overall income, and in order to avoid economic double taxation on dividends, both individuals (only those that decided to add dividends to all other income for taxation purposes) and companies would benefit from a tax credit (CI) that in essence corresponded to the IRC taxes paid by the distributing firm. Such tax credit is computed according to the following formula: CI = ci(1 − tirc )tirc = ci ⋅ tirc (1 − tirc ) (5) In equation (5) ci is the percentage of the IRC tax paid by the distributing company that could be accepted as a tax credit by the dividend-receiving shareholder and tirc is the IRC tax rate. The tax credit thus computed was then added back to the gross dividend to determine the marginal tax rate and was finally deducted in the tax bill so as to eliminate the double taxation on dividends. In the case of capital gains, individuals were exempted from any Until 1988, the tax system was characterized by total double taxation of dividends. A corporation paying out dividends would pay taxes on profits declared and the shareholder receiving those dividends would suffer the full burden of dividend taxation without any tax allowance for corporate taxes already paid by the company. 7 For our sample period, i.e., between 1993 and 2002, it was observed that a rational choice for individuals was to avoid the possibility, given by the tax system, of adding the gross dividend income to all other sources of income received and only then being taxed for all income. In fact, for all income tax brackets, the individual’s withholding dividend tax rate was smaller than any of his possible marginal tax income rates. 6 7 taxation as long as they held their shares for a minimum period of 12 months. At the corporate level, apart from capital gains taxes becoming due only when the shares were actually sold, the possibility of reinvesting the amount received at the sale so as to delay taxation actually meant that the effective tax rate tended towards zero. According to the Elton and Gruber’s (1970) methodology, the expected ratio between the change in prices and the dividend received (QVP) reflects the tax discrimination factor between dividends and capital gains for the marginal investor (TD). Within the Portuguese tax system, and bearing in mind the two first tax categories of investors mentioned earlier on (individuals and corporations classified into the “Less Favourable Tax Regime”, the so-called Classes A, B and C) the tax discrimination factor (TD) is given by the following equation8: TD = (1 + CI )(1 − tirc )(1 − tm ) = (1 + CI )(1 − tm ) (1 − tirc )(1 − t gc ) (1 − t gc ) (6) For corporations classified into the “More Favourable Tax Regime” (Class D), these could also benefit from a tax credit as they were allowed to deduct, in their own company taxation, 95% of the gross dividend received. Regarding capital gains taxes, the system was the same as applicable to all other companies. According to Elton and Gruber’s (1970) formula, the tax discrimination factor for this group of investors was therefore the following: TD = s(1 − tirc )(1 − tm ) s(1 − tm ) = (1 − tirc ) 1 − t gc 1 − t gc ( ) ( (7) ) where s is the percentage of the dividend that can be exempted from taxation. Finally, for the tax-exempt investors (Class E), the inexistence of any tax discrimination factor translated into a ratio equal to unity: TD = (1 − tirc )(1 − tm ) = (1 − tm ) = 1 (1 − tirc )(1 − t gc ) (1 − t gc ) (8) Table 1 shows the tax discrimination factors (TD) computed in the sample period for the different investor tax categories. One should recognize that during the period in question the Portuguese tax system showed a consistently larger tax burden on dividends vis-à-vis capital gains. Such tax discrimination was considerably more visible for the B and C tax classes. In 8 It should be mentioned that, with the sole purpose of simplifying notation at this stage, we did not take into account either the existence of a dividend special tax benefit granted solely to listed firms (whereby only a fraction of dividends are subject to taxes) or the application of another tax, the Inheritances and Donations Tax (corresponding to 5% of the amount of dividends). However, when computing the effective tax discrimination factors TD shown in Table 1 all these aspects will be included. 8 the Appendix a more detailed explanation of the Portuguese tax system evolution is presented. Table 1 Summary for the Tax Discrimination Factors Across Different Investor Classes This table shows the tax discrimination factors (TD) for four investor tax categories according to the Portuguese Tax System for the period 1993-2002, taking into full consideration the tax benefits granted to companies listed in the Portuguese Stock Exchange and the Inheritances and Donations Tax. The tax discrimination factor for tax-exempt investors (Class E) is not shown since in that case TD equals one. Year 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 1993-2001 1994-2001 Individual Marginal Tax Rate = 35% Investor Class Individual Marginal Tax Rate = 40% t gc = 0 t gc = 10% t gc = 0 t gc = 10% (Class A.1) 0,8497 0,8497 0,8847 0,8847 0,8847 0,8755 0,8755 0,8605 0,8168 0,7750 0,8646 0,8665 Class A.2) 0,9441 0,9441 0,9830 0,9830 0,9830 0,9727 0,9727 0,9562 0,9076 0,8611 0,9607 0,9628 (Class B.1) 0,8113 0,8113 0,8513 0,8513 0,8513 0,8427 0,8427 0,8213 0,7655 0,7500 0,8276 0,8297 (Class B.2) 0,9014 0,9014 0,9458 0,9458 0,9458 0,9364 0,9364 0,9125 0,8506 0,8333 0,9196 0,9218 Corporation in the “Less Favourable Regime” (Class C) 0,8420 0,8420 0,8780 0,8780 0,8914 0,8820 0,8820 0,8841 0,8476 0,8000 0,8697 0,8731 Corporation in the “More Favourable Regime” (Class D) 0,9820 0,9820 0,9820 0,9820 0,9830 0,9830 0,9830 0,9840 1,0000 1,0000 0,9846 0,9849 III. RESEARCH HYPOTHESES The tax impact on prices around the ex-dividend day has been the subject of many analyses, namely under settings where a tax asymmetry between dividends and capital gains exists. Almost unanimously9, the empirical results obtained in these studies are consistent with the presence of a tax discrimination factor in the explanation of the ex-dividend market price behaviour. In the former Section it was recognized that in the period between 1993 and 2001, the Portuguese tax environment was characterized by a larger tax burden on dividends vis-à-vis capital gains for all investor classes except tax-exempt shareholders. Combining the theoretical arguments presented earlier with the knowledge of the Portuguese tax system, and assuming the inexistence of other factors such as arbitrage costs or microstructure effects that could also influence price movements of dividend paying stocks around the ex-dividend day, then one can expect that, similar to the US market, the estimated QVP will be smaller than one. In fact, with the information about the tax discrimination factors (TD) for all investor classes, it is possible to test the hypothesis not See, for example, Barclay (1987), Menyah (1993), Lasfer (1995), Lasfer and Zenonos (2003) and Elton et al (2003), among others. 9 9 only that the QVP is lower than the unity but also that it is equal to the marginal investor’s TD. As far as the identification of the marginal investor is concerned, although one cannot objectively measure the relative importance of each investor class in the Portuguese Stock Exchange, informal contacts that we had with Stock Exchange officials and other market professionals allowed us to initially anticipate that the long term individual investor was the most likely class influencing the marginal prices in the market. Within such category, given the level of sophistication required by such market participants, it is most likely that these investors would be in the highest personal income tax bracket. Combining these arguments we are led to our first research hypothesis: H1: The behaviour of stock prices at the ex-dividend day is the result of a tax effect associated with a marginal investor identified as an individual in the highest personal income tax bracket. Thus one will expect that the average QVP is not significantly different from the average tax discrimination factor (TD) identified for such investor. Secondly, we can analyze if a clientele effect is observable in the market, as acknowledged by Miller and Modigliani (1961). If in fact taxes do influence the way investors value dividends, then one can expect that more heavily dividend-taxed groups of investors will prefer to form portfolios with lower dividend yield stocks in comparison with less dividend-taxed investors. This brings us to our second research hypothesis: H2: As the result of a clientele effect, one will expect a positive relation between QVP and dividend yield, as more heavily dividend-taxed investors show a preference for lower dividend yield stocks in contrast with more heavily dividend-taxed shareholders. A particular feature of the Portuguese tax system in the period of our sample was the existence of an additional tax benefit for shareholders that acquired stocks of privatized firms. In those circumstances only a fraction of the dividend would be considered for tax purposes. That percentage was initially set at 60% until 1994, but reduced to 50% from 1995 on. Once again, if tax treatment differences between dividends and capital gains do influence exdividend prices, then this should translate into an overall reduction of the relative tax burden on dividends, eliminating part of the tax discrimination factor. The implication is that the relative change in price for privatized firms will be lower than that observed for all the other listed firms. The related research hypothesis is as follows: H3: Given that dividends of privatized firms are entitled to a tax benefit that reduces the tax discrimination factor of dividends in comparison with other listed firms, we should expect that the average QVP will be significantly higher for privatized firms than for all other the listed firms. 10 Although fundamentally stable, the Portuguese tax system that existed between 1993 and 2001, experienced a number of changes in IRC rates, in the amount of tax credits and in general dividend tax benefits for listed firms. As an example, taking into consideration the average of the tax discrimination factor of the individual investor in the highest personal income tax bracket (Class B.1), the maximum change in relation to the average was 2.9%, while not exceeding 3% and 0,26% for the companies included in the “Less Favourable” and “More Favourable” tax regimes, respectively. However, the year 2002 brought some major changes to the system, with a negative impact on two classes of investors: individuals and corporations included in the “Less Favourable” tax regime. This change meant the elimination of dividends tax credits as dividends began to be fully taxed on 50% of their amount. This change has as a consequence an increase of more than 10% in TD in comparison to the average value in 1993-2001. In the case of corporations in the Less Favourable tax status, the TD increased almost 9% vis-à-vis the average 1993-2001 value. Thus, given this significant increase in the tax discrimination factor, one would expect the average QVP in 2002 to be significantly lower than that observed in the previous period. Our fourth research hypothesis is therefore as follows: H4: In 2002, due to a dividend tax change that caused a general increase in the tax discrimination factor between dividends and capital gains, it is expected that the average QVP in 2002 will be significantly lower than that observed for the 1993-2001 period. The final and most remarkable research hypothesis in our study provides a direct test for market efficiency. Assuming that investors in any tax category will focus their attention in the market between the cum-dividend and exdividend days, we will attempt to analyze if for any of those investor categories it is possible to obtain abnormal returns after considering all relevant transaction and tax costs. Testing for this hypothesis is an interesting issue in the sense that one can understand if, particularly for the non-marginal investors, the ex-dividend drop in prices enables any shareholder to achieve abnormal gains from potential tax-induced arbitrage opportunities after transaction costs (bid-ask spreads) and taxes. Our final research hypothesis is the following: H5: It is expected that, given market efficiency, for any tax category of investors, it is not possible to achieve abnormal returns in shortterm trades between the cum-dividend and ex-dividend dates. IV. METHODOLOGY AND SAMPLE DESCRIPTION IV.1. Methodology used Within the framework of Elton and Gruber’s (1970) model, QVP is defined as the arithmetic mean of all observations, that is, 11 QVP = 1 N N Pc − Pe D i n =1 ∑ (9) where N : Number of observations; Pc : Closing price at the cum-dividend day; Pe : Opening (or closing) price at the ex-dividend day; D : Gross dividend per share. This statistic could, alternatively, be computed from the following regression: QVPi = QVP + εi , where E(εi ) = 0 and Var(εi ) = σ 2 . (10) However, as referred by several authors like Eades et al (1984), Barclay (1987) or Bell and Jeckinson (2002), a number of problems can be pointed out at the regression model in (10) as an instrument for estimating QVP. Firstly, it is not expected that the variable QVP will follow a normal distribution. Secondly, the residual term in (10) suffers from heteroscedasticity since QVP is scaled by the amount of the dividend which will mean that the weight given to changes in observations where dividends are low will be excessive (that is, the lower the QVP denominator, i.e., the dividend, the larger the QVP and, as a consequence, the larger also the weight given to that observation). We should recall that, according to equation (4) and assuming the inexistence of the estimation problems just referred, the ex-dividend return of stock i, Re,i, will be given by: ( P − Pc + D = 1 − QVP Re,i = e Pc i ) PD c i + εi (11) if we assume that E(εi ) = 0 and Var(εi ) = σ 2 . When one estimates equation (9) using ordinary least squares (OLS) the result, however, will be that the variance of the residuals will be increasing in the dividend yield. In other words, P QVPi = QVP - εi c D i (12) To deal with the problem of heteroscedasticity, we use a methodology proposed by Boyd and Jagannathan (1994) and Bell and Jeckinson (2002), where a reduced weight is given to observations in which the dividend yield is lower and the ex-dividend change is larger. From (11), we can obtain the following new equation: 12 Pc − Pe D P = α2 P + µi c i c i (13) The equation above shows the relationship between the ex-dividend price change scaled by the cum-dividend price and the dividend yield in a way that overcomes the heteroscedasticity problem. The QVP is now given by the slope in (13). One should add that some authors like Boyd and Jagannathan (1994) or Frank and Jagannathan (1998), within a market microstructure perspective, suggest that the inclusion of an independent term in (13) will allow testing for the existence of microstructure effects10. The inclusion of an independent term implies the following new regression to be estimated: D Pc − Pe P = α1 + α2 P + µi c c i i (14) Finally, both the models in (13) and (14) are estimated according to market adjusted data. The market adjustment is made by transforming the exdividend price according to the following procedure: Pe* = Pe − Pc βRem (15) where Rem is the return on the Portuguese Stock Exchange Index PSI-20 on the ex-dividend day. To obtain the β for each stock, the market model is used with daily observations during the period (-365;-1) relative to the ex-dividend day. The market model is specified as follows: Ri,t = λ + βi Rm,t + ωi (16) This estimation is based on the event study methodology developed by Brown and Warner (1985) where, similar to the procedures for computing returns in Lasfer (1995), daily observations are used. We should note, however, that some authors suggest that the usage of weekly or monthly data for returns for periods up to 5 years could ensure more stability to the estimates. In our case, however, since the PSI-20 Index was created only in 1993, while at the same time the presence of the most listed firms in Portuguese Stock Exchange is a relatively recent phenomenon, we chose, so as to ensure a larger sample, to use an estimation period that corresponded to a full civil year in relation to the ex-dividend day11. One final note relates to the variable description. As mentioned earlier, the variables which are used are essentially the ex-dividend and cum-dividend prices, as well as the gross amount of the dividends. One might question, however, which price, opening or closing, ought to be used on the ex-dividend The expected sign for the independent term is a negative one since those microstructure effects will exert a negative impact on the size of the ex-dividend price adjustment. 11 This corresponded to a number of observations that varied between a minimum of 209 and a maximum of 254. 10 13 day in order to estimate QVP, and, within closing prices, if either the directly observed price or one which is market-adjusted. The existing empirical studies do not provide us with a consensual approach in this regard. Elton and Gruber (1970) take into perspective that the usage of closing prices can bias the results since after a full day of transactions one might expect that at least part of the observed market price movements are correlated to other factors than taxes. Other authors suggest the opposite, that is, that the usage of opening ex-dividend prices is not the most correct procedure since the initial transaction orders given by investors are likely to be made so as to cause an impact on prices according to a perfect adjustment, that is, by the exact amount of the dividend. In this sense, only the closing price will eliminate such arbitrage effect from the part of investors. A third alternative would be to adjust prices according to overall market movements. Although the author’s opinion favours the usage of the non-adjusted opening prices, given the existing controversy over this issue we chose to estimate QVP according to all the alternatives, i.e., opening and closing prices, both adjusted or non-adjusted. The remaining details on the computational aspects of the procedures used are presented in Section V, along with the empirical results. IV.2. Sample description To build our sample, we initially took all the quoted firms in the Lisbon Stock Exchange. Then, in order to ensure that the information on all companies in the sample is completed and sufficiently meaningful (namely for the purpose of computing betas) we chose to include only those firms that were at some time constituents of the PSI-20 Index. Between 04/01/1993 (when the Index was created) and 31/12/2002, we were able to identify 74 firms with this requirement met. From these initial observations we then chose those companies that paid ordinary dividends, that is, that distributed profits declared from 1992 to 200112. We then excluded those observations related to firms that were not part of the PSI-20 Index on the ex-dividend day. Lastly, in the final sample only firms with transactions on both the cum-dividend and ex-dividend days were included. After these selection procedures, our final sample was composed by 140 observations for 40 firms, gathered between 04/01/1993 and 12/06/2002. If we withdraw the 2002 observations due to that year’s tax reform, the sample size is reduced to 128 observations for 35 firms13. The sources of data were DataStream for information on dividends, relevant dates (for dividend announcements, ex-dividend, cum-dividend and actual dividend payments), and Lisbon Stock Exchange’s own database Dathis for cross-checks14. Daily opening, minimum, maximum, closing, bid and ask prices (for individual stocks and the PSI-20 Index) were collected from Dathis. Information on changes in the constituents of the PSI-20 Index was also obtained from Dathis. In Portugal, corporations typically do not pay interim dividends and this was the case with the period in question where only full year dividend payments were identified. 13 This is the subject of our H3 hypothesis. 14 We did not find, however, any data discrepancies between these two databases. 12 14 Table 2 Sample Descriptive Statistics This table presents sample descriptive statistics (means and standard deviations) for each fiscal year and for the overall period. N. Obs. is the number of observations identified for each year. N. Firms is the number of firms in the sample for each year. β is estimated from the market model, computed for each stock considering a full civil year up to the ex-dividend day (-365;-1). Div is the gross dividend per share, measured in euros (€). Pcum is the cum-dividend closing price, measured in €. Dy (dividend yield) is the ratio between Div and Pcum, multiplied by 100 and reported as a percentage. Standard deviations are presented in parentheses. N. Obs. N. Firms β Div (€) Pcum (€) Dy (%) 1993 1994 1995 1996 1997 1998 1999 2000 2001 Total 10 - 0,64 (0,36) 13,57 (6,18) 11 0,97 (0,64) 0,59 (0,36) 16,02 (6,40) 16 0,75 (0,41) 0,54 (0,43) 18,47 (16,09) 16 0,72 (0,43) 0,50 (0,27) 15,16 (13,65) 15 0,84 (0,31) 0,48 (0,22) 19,20 (11,32) 17 0,96 (0,20) 0,58 (0,34) 43,10 (33,47) 17 0,88 (0,23) 0,65 (0,54) 29,37 (31,06) 15 0,66 (0,37) 0,34 (0,27) 14,75 (10,64) 11 0,59 (0,39) 0,26 (0,22) 7,92 (8,17) 128 35 0,80 (0,39) 0,51 (0,37) 20,92 (21,43) 5,04 (2,47) 3,82 (2,69) 3,13 (1,53) 3,74 (1,47) 2,85 (1,30) 1,47 (0,62) 2,32 (1,18) 2,45 (1,28) 3,59 (1,88) 3,01 (1,82) - Table 2 shows the main descriptive statistics on the variables used. Regarding dividends distributed, we can note that the minimum (maximum) amount paid was 0,03 € (2,247 €), the mean (median) being 0,51 € (0,748 €). As for the dividend yield (Dy), the mean is 3%, more than three times from what observed by Borges (2001) in the Portuguese market between 1990 and 1998 (0,9%). Although not directly comparable, the mean dividend yield on our sample is also higher than that obtained in the US by Grullon and Michaely (2002), who observed for 1993-2000 a mean of 1,76%, but closer to the number reported by Daunfeldt (2002) for Swedish firms (2,73%) in the 1988-1995 period or that observed by McDonald (2001) in 1990-1997 for constituents of the German DAX-30 Index (2,46%). Table 3 QVP and Ex-Dividend Returns This table shows statistics (mean and standard deviation) for the ex-dividend fall in stock prices scaled by gross dividends (QVP) and for the ex-dividend return (Re). Pc and Pe are the cum-dividend and ex-dividend prices, respectively. Both QVP and Re variables are calculated using opening and closing ex-dividend prices. Standard deviations are presented in parentheses. 1993 1994 1995 1996 1997 1998 1999 2000 2001 Total 0,638 (0,503) 0,362 (2,082) 0,835 (0,522) 0,274 (0,561) 0,785 (0,248) 0,717 (0,999) 0,482 (0,646) 0,621 (2,731) 0,526 (1,202) 0,729 (0,562) 0,628 (0,562) 0,667 (1,242) 0,742 (1,153) 0,655 (2,485) 0,334 (0,953) 1,614 (1,567) 0,593 (0,843) 0,606 (1,936) 1,070 (0,912) 0,460 (3,514) 0,944 (1,957) 0,729 (1,567) 0,952 (1,131) 0,895 (2,322) ( ) used for computing QVP = (Pc − Pe ) D Opening price P e 1,081 (1,098) 0,695 (0,795) 1,312 (1,574) 0,728 (0,340) 1,035 (1,055) 0,884 (0,341) ( ) used for computing QVP = (Pc − Pe ) D Closing price P e 0,737 (0,785) 0,498 (0,317) ( ) used for computing Re = 100 × (Pe − Pc + D ) Pc Opening price P e -0,019 (4,190) 0,677 (1,391) -0,332 (4,973) 1,033 (1,470) 0,278 (2,224) 0,454 (1,374) ( ) used for computing Re = 100 × (Pe − Pc + D ) Pc Closing price P e 0,883 (2,033) 1,944 (1,266) 15 In Table 3 the QVP and the ex-dividend returns are presented, according to both the opening and closing ex-dividend prices. Regarding QVP, computed using the opening prices, we observe a sample mean of 0,717, with a standard deviation greater than the mean (0,999). The standard deviation is even higher when we observe the QVP computed using the closing ex-dividend prices. But it is still in the individual investors category (B.1 class), which we identified a priori as the marginal class, that the observed QVP is closer to the theoretical TD. V. EMPIRICAL RESULTS The estimation of the ratio between the ex-dividend price change and the gross dividend (QVP) is the starting point for us to test H1, that is, the hypothesis that price formation at the ex-dividend date is a function of the tax status of the marginal investor, which we have tentatively identified as individuals in the B.1 class. Table 4 shows the first regression results for this hypothesis using ordinary least squares (OLS) estimation procedures15. Table 4 QVP Estimates This table shows the QVP (ratio between the ex-dividend price change and gross dividend) estimation for 19932001, according to the specifications presented in (13) and (14). Standard deviations are presented in parentheses. N. Obs. α1 α2 White test (p-value) ( ) used to compute (Pc − Pe ) Opening prices P e α2 = 1 (p-value) R 2 Pc Regression 1 α1 = 0 128 0,8435* (0,0491) 0,1021 0,0014 Regression 2 α1 ≠ 0 128 -0,0051 (0,0033) 0,9675* (0,0949) 0,2075 0,7318 0,4522 0,9274 0,0000 0,9126 0,0540 0,2793 ( ) used to compute (Pc − Pe ) Closing prices P e Regression 3 α1 = 0 128 Regression 4 α1 ≠ 0 128 -0,0024 (0,0040) * Significant 0,7245* (0,0577) 0,7840* (0,1122) Pc at the 1% level. The estimated QVP is quite close to the mean tax discrimination factors (TD) computed in the same period for the B.1 (TD = 0,8297) and C (TD = 0,8697) investor classes, particularly when the opening ex-dividend prices are used. In all regressions we find not only that the estimated QVP is statistically We ran four different regressions, using alternatively not only opening or closing ex-dividend prices to compute the dependent variable, but also with or without the inclusion of a constant term (to analyze our market microstructure hypothesis). 15 16 significant but also that the hypothesis that the QVP is equal to one can be rejected, a necessary (but not sufficient) condition to document the existence of the tax effect. The results from regressions 2 and 4 show that, although the constant term bears a negative sign (which would be in agreement with a market microstructure argument), it is not statistically significant. We can thus conclude that any existing particularities of the Portuguese market will be of residual importance16. This result is consistent with similar findings by Bell and Jeckinson (2002), but in contradiction with the evidence reported by Boyd and Jagannathan (1994), Koski (1996) and Frank and Jagannathan (1998). As referred in the last Section, the model we used for estimation purposes was subject to a transformation so as to minimize heteroscedasticity problems with the residuals. The White test we computed rejects in fact the hypothesis that the estimates are influenced by this potential problem. In our attempt to identify the marginal investor, we recall that in our own point of view it is the B.1 class the most likely one that determines the exdividend price formation, which means that the estimated QVP is not significantly different from the theoretical tax discrimination factor TD identified for this investor category. The results presented in Table 5, show that, when using closing prices for estimation purposes, one cannot identify any of the investor classes as the marginal one. When we repeat, however, such test using opening prices we find not only that for the B.1 and C classes one cannot reject the null hypothesis, but also that the significance levels suggest that the B.1 class is the one whose TD is the closest in statistical terms to the estimated QVP. We chose not to test the coefficients in regressions 2 and 4 given that the independent term is statistically insignificant in both regressions. Table 5 Marginal Investor Identification This table shows the results of a Wald test for the α̂2 coefficient in regressions 1 to 4 in Table 4. For each regression the null hypothesis is the equality between the QVP (ratio between the ex-dividend price change and the gross dividend) for each of the dividend tax discrimination factors TD found for each investor category as reported in Table 3. The numbers shown in this table are the p-values for this test. H 0 = TDi (Class B.1) (Class B.2) (Class C) (Class D) αˆ 2 = 0,8276 αˆ 2 = 0,9196 αˆ 2 = 0,8697 αˆ 2 = 0,98466 0,0041 Regression 1 0,7460 0,0982 0,5938 Regression 2 Regression 3 0,0007 0,0735 0,0118 0,0000 Regression 4 One should add, in this regard, that until 1996, the Lisbon Stock Exchange rulings implied that the ex-dividend day corresponded to the exact dividend payment day. More concretely, the dividend liquidation system before 1996 meant that for a period of four trading days prior to the dividend payment the stock was suspended from trading [the so-called “technical interruption” mentioned in article number 447, paragraph 1 c), of the Regulamento do Código dos Mercados e Valores Mobiliários, the Portuguese Stock Exchange regulation code]. We empirically examined this feature of the Portuguese Stock Exchange by comparing QVP estimates for the period before and after 1997. No statistically significant differences were found, however, thus supporting the conclusion that our results do not seem to be biased by such institutional particularity. 16 17 In contrast with Borges (2001), but in line with findings by Elton and Gruber (1970), Barclay (1987), Shaw (1991), Lasfer (1995) and Elton et al (2003), we find evidence consistent with the presence of a tax effect in the formation of ex-dividend prices. This conclusion reinforces the results of a recent study by Lasfer and Zenonos (2003) that shows very similar findings for the period 1988-2002 in a European tax context17. The results we find for the Portuguese market in the 1993-2001 period strongly suggest that the tax discrimination factor between dividends and capital gains does influence the way investors value cash payouts, particularly when our analysis is made using opening ex-dividend prices (instead of closing prices). We also repeated the estimation for testing the tax hypothesis using transformed ex-dividend prices as an alternative procedure. According to the specifications presented in Section IV, when adjusting the ex-dividend returns according to the market model in (15), or, as suggested by Booth and Johnston (1984) or Lasfer and Zenonos (2003), assuming β=1, we found essentially the same results. In other words, the evidence was still significantly in accordance with the tax hypothesis and inconsistent with a market microstructure perspective. We chose to present only the non-marketadjusted results not only because no differences were found using other procedures but also because of likely redundancy as our sample includes the constituents firms in the PSI-20 index, which is the market index used in the market model. Finally, we made an additional estimation by splitting our sample according to different years. Such split created relatively small subsamples (with a number of observations from 10 to 17), which implied a loss in the reliability of the estimations and an increased difficulty in identifying the marginal investor with sufficient statistical significance. V.1. Clientele effects We should recall that the clientele effect first stated by Miller and Modigliani (1961) suggests that stocks with high (low) dividend yields will be held by investors in low (high) tax brackets. When applying such concept to Elton and Gruber’s (1970) approach, the possibility of a positive relation between QVP and dividend yield emerges. In order to test for this hypothesis, the initial sample was split into quintiles18 in the dividend yield variable. As can be seen in Table 6, the first quintile depicts a mean dividend yield of 0,01, while for the last quintile, which shows stocks with higher yields, the corresponding value is 0,06. The results on the QVP estimation were obtained according to the specification in (13), and using opening ex-dividend prices19. More precisely, the adopted specification was: Lasfer and Zenonos (2003) study the behaviour of stock prices around the ex-dividend date for four European countries (Italy, France, Germany and the United Kingdom), with similar tax systems as the one found in Portugal. For further details see Lasfer and Zenonos (2003), pp. 3738. 18 The sample was also split into quartiles and deciles but the results which were obtained were not very different from the ones presented here. 19 This estimation procedure was also repeated using ex-dividend closing prices but the results were less clear. 17 18 Pc − Pe D P = α jQ P + µi , where j = 1,2,...,5 . c i c i (17) With the exception of the first quintile, the results obtained are much in line with what was expected: the existence of a positive relation between the estimated QVP and dividend yield. We can interpret such relationship as consistent with the hypothesis that higher dividend yield stocks are typically held by investors in lower tax brackets. The estimates are all statistically significant at a minimum level of 5%. All regressions were tested for heteroscedasticity but no evidence was found to reject the hypothesis that the residuals were homoscedastic. Table 6 Clientele Effects This table presents the estimation results for QVP (ratio between ex-dividend price change and gross dividend) by quintile, according to DY, the dividend yield (ratio between dividend and cum-dividend price). In all of the regressions opening ex-dividend prices are used. N.Obs. is the number of observations. Standard deviations are presented in parentheses. Quintile * ** N. Obs. DY 1 26 0,011 2 26 0,018 3 25 0,027 4 26 0,037 5 25 0,058 α1Q α 2Q α 3Q α 4Q α 5Q 0,8675** (0,3215) 0,6837** (0,2046) 0,7620* (0,1626) 0,7933* (0,0726) 0,8912* (0,0793) Significant at the 1% level. Significant at the 5% level. To check the robustness of these results a number of additional statistical tests were performed (Table 7). The first one tested the equality between the quintile coefficients with the purpose of verifying if such estimates are independent. The statistical evidence cannot reject in any of the five tests the null hypothesis: the QVP estimate obtained on the i-th quintile is equal to that which was estimated for the previous (i-1)th quintile. The second test analyses if the estimated QVP for a particular quintile is higher than that estimated for the previous quintile. Along the same line as before, we cannot reject any of the hypotheses that α kQ ≤ α jQ , where j = 1,2...,4 and k = j − 1. Following Elton and Gruber (1970), we also estimated Spearman’s Rank Correlation, from which a weak positive correlation between the variables was confirmed (0,4). Although the estimates initially presented in this Section were consistent with the presence of a clientele effect, the tests we performed subsequently led us to conclude in favour of the presence of weak evidence only on this effect. One may conclude that the clientele effect remains a highly controversial issue, as many empirical studies, even though generally agreeing with the idea that taxes play an important role in influencing ex-dividend pricing, are, 19 however, not able to find a significant positive relation between QVP and dividend yield. Table 7 Statistical Tests for Clientele Effects Test for the null hypothesis of equality between coefficients for quintiles α 1Q = α 2Q p-value 0,5676 α 2Q = α 3Q α3Q = α 4Q α 4Q = α 5Q 0,7019 0,8474 0,1775 One-Tail Test t. obs. Critical t (1%) (5%) (10%) α 2Q ≤ α 1Q α 3Q ≤ α 2Q α 4Q ≤ α 3Q α 5Q ≤ α 4Q -0,8983 0,4816 0,4311 1,2346 2,485 1,708 1,316 2,492 1,711 1,318 2,485 1,708 1,316 2,492 1,711 1,318 For instance, Booth and Johnston (1984) and Menyah (1993) do not find empirical evidence supporting such an effect. In the Portuguese market, Borges (2001) also fails to find evidence in favour of the existence of a clientele effect, but, in contrast with our results, documents a negative relationship between dividend yield and QVP. V.2. The preferential tax treatment of privatized firms The changes introduced in the Portuguese tax system in the late nineties, besides including a number of measures to reduce dividend double taxation, also created special tax allowances for a number of particular situations. One of theses was aimed for investors who bought shares (from the Portuguese Government) of quoted firms under a privatization programme. A tax benefit that was maintained throughout all the period in the sample was a dividend tax allowance for the already mentioned shares. Such benefit materialized in the form of an application of a coefficient smaller than one to dividends received so as to determine the taxable amount of the dividend. This allowance assumed a greater importance for those investors in high tax brackets. Table 8 shows the result for the QVP estimates and for the differences between those estimates according to a sample split in two, that is, according to privatized and non-privatized firms. The results were built following the same methodology described in (13) and (14), but with the addition of the dummy variable (Priv) that takes the value of 1 in the presence of privatized firms or 0 in the opposite case (Npriv). The general specification is then: Pc − Pe P c D = α1NPriv + α1Priv Priv + α2NPriv P i c where i = 1,2,...,128 . 20 D + α2Priv Priv P i c + µi i (18) Regarding the estimates found for QVP (all of which are statistically significant) we can observe that for regressions 1 and 3 the estimated QVP for privatized firms is smaller than the corresponding estimate for the remaining sample firms. This result is inconsistent with our hypothesis since one would expect exactly the opposite to occur given that the tax benefit in question should reduce the dividend tax discrimination factor, thus increasing the QVP. For regressions 2 and 4, where an independent term is included, the estimated QVP is in line with our expectation. However, for all four regressions the differences between QVPs are never statistically significant. Table 8 Privatized versus Non-Privatized Firms This table shows the estimates for the QVP in the sample period, computed using non-adjusted data. The results presented for the independent term in regressions 2 and 4 use the specification given in Equation (14) for the sub-sample of non-privatized firms (NPriv). The estimates are obtained using Equations (13) and (14) for sub-samples of non-privatized (NPriv) and privatized firms (Priv), respectively. Diff. is the difference between the two coefficients, given by the estimated α2Priv in model (18). N.Obs. is the number of observations. Pc and Pe are the cum-dividend and ex-dividend prices, respectively. Standard deviations are shown in parentheses. N.Obs. NPriv / Priv Opening prices α1 α 2NPriv α2Priv (Pe ) used to compute (Pc − Pe ) Diff. R2 Pc Regression 1 α1 = 0 103/25 0,8641* (0,0561) 0,7027* (0,0904) -0,1614 (0,1421) Regression 2 α1 ≠ 0 103/25 -0,0036 (0,0036) 0,9482* (0,0979) 1,2660* (0,2471) 0,3178 (0,4050) 0,4642 ( ) used to compute (Pc − Pe ) Closing prices P e Regression 3 α1 = 0 103/25 0,7379* (0,0670) Regression 4 α1 ≠ 0 103/25 -0,0015 (0,0042) 0,7737* (0,1166) * Statistically Pc 0,6279* (0,0097) -0,1100 (0,1675) 0,9696* (0,2886) 0,1959 (0,4825) 0,2857 significant at the 1% level. While the considerable disproportion between the two sub-samples suggests a degree of caution in interpreting the results, our findings are consistent with the idea that the marginal investor does not correctly value the tax benefit offered to dividends paid by privatized firms, or alternatively, that such benefit is not relevant for the dominant investor. This can question the results obtained earlier regarding the identification of the marginal investor. These results however ensure us that the inclusion of the 25 observations related to the privatized firms in the main sample do not change its homogeneity, therefore confirming the robustness of our earlier conclusions. V.3. The 2002 Tax Change In 2002 the Portuguese tax system experienced some relevant changes, essentially an increase in the tax discrimination factor of dividends versus capital gains for investors in classes B and C. The increase in the relative tax 21 burden on dividends led to an unfavourable change in the TD factor of 9.4% and 8% in 1993-2001, for those two investor categories, respectively20. Thus, one would expect a negative change for the QVP in 2002 in comparison to the QVP for the remaining sample period. To analyze this hypothesis, we use the original specification with the addition of a dummy variable (Pos02) taking the value of 1 for year 2002 observations or 0 for all others (Pre02 refers to observations in the 1993-2001 period). The transformed model is as follows: Pc − Pe P c D D = α1Pre02 + α1Pos02 Pos02 + α2Pre02 + α2Pos02 Pos02 + µi P P i c i c i (19) where i = 1,2,...,140 . From the results reported in Table 9, we can observe that the difference in the estimated QVP for the two periods has the expected sign only when opening prices are used. However, for all the four regressions the computed differences are never statistically significant at conventional levels. We can interpret these results in two ways. On one hand, we may question the profile of the marginal investor that was identified in earlier sections. If, however, we assume that it is the investor from Class D or E – for whom the 2002 tax change did not have any impact21 - that is the marginal investor, then the robustness of earlier results will be strengthened. On the other hand, the tax change introduced in 2002 may not have been sufficiently meaningful to imply a relevant change in the way marginal investors evaluate dividends. In this regard, in a number of empirical studies [Michaely (1991), Lasfer (1995), Bell and Jeckinson (2002 and Elton et al (2003)] that analyzed the impact of tax changes in ex-dividend pricing, the change in TD is always greater than 15%22, almost the double of what happened in the Portuguese 2002 tax change. One should also mention that our results may be affected not only by the limited size of our sample, but also by the imbalance between the number of observations in each sub-sample, a limitation that is absent from earlier studies, where each sub-sample is similarly sized23. For a better evaluation of this tax change, one should mention that between 1993 and 2001 the largest change in TD, the tax discrimination factor, was 6.5% for the B and C classes, being the average change in the period less than 1%. In cumulative and absolute terms for the same period, the change in TD was 17,3% and 16,9% for the B and C classes, respectively. 21 For the D Class the change in TD was positive (1,8%), while in Class E the tax change did not affect the existing discrimination factor. 22 Michaely (1991) investigated the reaction of investors to the elimination of the tax discrimination factor on dividends (Tax Reform Act 1986) in the US market, a change that implied a positive variation on TD of about 19%. Lasfer (1995) studied a tax change in the United Kingdom (1988 Income and Corporation Taxes Act) that also implied the elimination of the tax discrimination factor between dividends and capital gains causing a positive change in TD of around 22%. Bell and Jeckinson (2002) analyzed changes in pension fund taxing (Finance Act 1997) and documented a fall in TD of 25%. Elton et al (2003) looked at different periods with different tax regimes including a negative change in TD of about 15% between the 1988-1992 and 1993-1996 periods in the US. 23 Except in Lasfer (1995), where there is a one-to-three imbalance between the two sub-samples. 20 22 Table 9 The Impact of 2002 Tax Changes The table below presents the estimates for QVP (the ratio between the ex-dividend price change and gross dividend) for the sample period computed using non-adjusted data. The results shown for the independent term in regressions 2 and 4 are given by equation (14) estimated for the 1993-2001 period. Pre02 is a dummy variable taking the value of one for 2002 observations. Pre02 refers to 1993-2001 observations. The estimates are obtained using the specifications given in (13) and (14) for 1993-2001 and 2002 respectively. Diff. is the difference between the two coefficients, given by the estimated α Pos02 in model (19). N.Obs. is the number of 2 observations. Standard deviations are presented in parentheses. N. Obs. Pre02 / Pos02 α1 α 2Pre02 α 2Pos02 ( ) used to compute (Pc − Pe ) Opening prices P e Regression 1 α1 = 0 128/12 Regression 2 α1 ≠ 0 128/12 -0,0054 (0,0033) Diff. R2 Pc 0,8417* (0,0492) 0,6339* (0,1105) -0,1478 (0,1804) 0,9735* (0,0949) 1,1349* (0,0077) 0,1615 (0,4361) 0,4673 ( ) used to compute (Pc − Pe ) Closing prices P e Pc Regression 3 α1 = 0 128/12 0,7226* (0,0577) 0,7841* (0,0050) 0,0615 (0,2090) Regression 4 α1 ≠ 0 128/12 -0,0028 (0,0040) 0,7900* (0,1124) 0,7945* (0,1288) 0,0045 (0,5117) 0,2904 * Statistically significant at the 1% level. Borges (2001) also looked at changes in the Portuguese tax system, choosing to test the stability of the model considering three different periods (1990, 1991 a 1993 e 1994 a 1999). Borges (2001) observed, in contrast to our findings, a significant change in the estimated QVP for each different period24. V.4. Tax-induced arbitrage opportunities in the Portuguese market Up until now our findings show that a tax effect is present in the formation of ex-dividend prices. That hypothesis was tested by looking at the behaviour of QVP, the ratio between the ex-dividend price reduction and the gross amount of the dividend. This methodology has been used in earlier studies by Elton and Gruber (1970), Bell and Jeckinson (2002), and Elton et al (2003), among others. The study of the presence of such tax effects can alternatively be made by observing the abnormal gross returns assuming that the existence of a tax discrimination factor on dividends will imply a positive abnormal return. 24 We should mention that although Borges (2001) concludes there was a structural change in the model, only in his last period, in fact, is there an estimated coefficient which is not significantly different from the minimum theoretical value. Borges (2001) offers two justifications for his result: on one hand, it may be the outcome of other potential explanatory variables that can affect prices such as transaction costs; another possibility is that existing arbitrage forces are not sufficiently strong to eliminate all market anomalies. We can add, when comparing the two studies, not only that these employ different methodologies but also that our paper tests the impact of tax changes from the perspective of the dominant investor and not in the broader way considered by Borges (2001). 23 Bearing this possibility in mind, and in order to test for the existence of taxinduced arbitrage opportunities in the Portuguese market, we adopted a more intricate methodology by including in our calculations and return analyses the differential tax costs according to the different investors’ tax categories and other transaction costs faced by investors trading in secondary markets. Therefore, instead of the usual procedure that looks at abnormal gross returns, we use the methodology of looking at abnormal net returns after tax and transactions costs for each investor tax status. Our purpose is to test whether for any kind of investor it is possible to earn net abnormal returns from short term trades around ex-dividend days aimed at exploring potential tax-induced arbitrage opportunities. This attempt to analyze in greater depth the knowledge on the efficiency of the Portuguese market required a number of additional assumptions: first, we assumed that all investors can trade only between the cum-dividend and the ex-dividend dates: this means that all investors will presumably decide, after analyzing their QVP expectation and comparing this with their TD factor, whether to buy a stock cum-dividend and sell it ex-dividend or, instead, sell it short cumdividend and buy it ex-dividend25; second, we assumed the inexistence, or irrelevance, of direct transaction costs (such as brokerage fees); finally, we introduced transaction risk costs in the form of bid-ask spreads in both the cum-dividend and ex-dividend days26. To compute the abnormal returns by investor category, we follow the event-study methodology27, developed by Brown and Warner (1985). To calculate and analyze the abnormal returns after taxes and bid-ask spread costs we take four steps, as follows: 1. Calculation, for each observation and for each year, of the after-tax * : ex-dividend day return Rex ( ) * Rex = (Pe − Pc )(1 − tgc ) Pc + D(1 − tm ) Pc (20) One must note that the after-tax ex-dividend day return has two components: the return generated by the price change28 and the One should note that such strategy will have as a consequence other costs than mere transaction fees and tax costs. 26 Although in this methodology the bid-ask spread is understood as reflecting the risk that an investor faces when trading in the market, some studies consider that this variable is instead a proxy for transaction costs [Karpoff and Walking (1988), Koski (1996) and Lasfer and Zenonos (2003)]. Alternatively, Amihud and Mendelson (1986) share the view that the ask quote includes a premium for immediate buy just as the bid quote incorporates a discount for those who wish to sell immediately. Thus, they observe that the bid-ask price can be seen as a measure for the liquidity of a stock, where a higher liquidity will translate into a lower bid-ask spread. 27 In the current test, the event being investigated is the ex-dividend day. 28 One would expect such return to be negative thus ensuring that the ex-dividend price is lower than the cum-dividend price. Note, however, that such negative capital gain can be used as a tax shield by all investors except individuals. For these, the tax system allowed to use an eventual negative capital gains balance of a particular year as a tax shield for the following two years only if the investor made the option to be taxed globally, that is, with the addition of the capital gains income to its overall income for the purpose of taxation. Such rule implied that, from the perspective of an individual investor, if the ex-dividend return is positive the tax rate of 10% 25 24 dividend return, each of these being adjusted according to the tax regime applicable to each specific investor. 2. Estimation of the abnormal net returns according to two different methodologies developed by Brown and Warner (1985): ( * * AbRex = Rex − E (Rex ) 1 − t gc ) (21) This is the so-called market-adjusted return, which is calculated as the difference between the net return obtained in the first step and the expected ex-dividend day return E(Rex), estimated according to (16). ( ** * AbRex = Rex − Rm,ex 1 − t gc ) (22) This is the stock return adjusted by the market return, that is, the difference between the net return from (20) and the ex-dividend day market return Rm,ex . 3. Once the abnormal after tax returns are obtained, these are reduced by the amount of the bid-ask spread both the one observed cumdividend (BAScum ) and ex-dividend (BASex ) , defined as follows: BASi = Pask ,i − Pbid ,i Pbid ,i , where i = cum-dividend, ex-dividend. (23) 4. Observation of the significance of the abnormal returns after taxes and bid-ask spread costs for each investor category. Table 10 shows the results obtained according to the methodology just described. The first relevant observation is the existence of positive abnormal returns after taxes but before bid-ask spread costs, regardless of the type of investor in question or the particular form used for the estimation of abnormal returns. If statistically significant, such result would be consistent with market inefficiency where an investor could buy stocks cum-dividend, sell them ex-dividend and reap abnormal profits. However, when looking at the statistical significance of the abnormal returns after taxes and transaction costs, using the standard t test, such returns are always statistically insignificant, even when a level of significance of 10% is considered. Thus, we cannot reject H5, the null hypothesis of no abnormal returns from short-term trading strategies around the ex-dividend date, for any investor tax category. A relevant result from our test is the size of the bid-ask spreads, which at the ex-dividend date are almost the double of what would be used given the short-term nature of the transaction. When a negative return was observed, however, the negative capital gains did not generate in our analysis any tax deductibility. 25 is found for the cum-dividend date, which seems to limit considerably the opportunity for short-term trading gains. Table 10 Abnormal After-Tax Returns from Short-Term Trading Strategies for Different Investor Tax Categories This table depicts the results from the estimation of abnormal after-tax returns in the period 1994-2001 according to two different estimation procedures described in (21) and (22). Numbers presented as percentages. N. Obs. is the number of observations. R*ex is the non-adjusted return at the ex-dividend date. Rm,ex is the PSI20 Index market return at the ex-dividend date. E(Rex) is the expected stock returns at the ex-dividend date computed according to a market model. BAScum and BASex are the difference between bid and ask prices scaled * by the bid price at the cum-dividend and ex-dividend dates, respectively. AbRex and AbR*ex* are, respectively, the estimated ex-dividend abnormal returns according to a market model or by simply subtracting the ex-dividend market return. Standard deviations are presented in parentheses. Investor Class Class B.2 Class C Class D Class E N. Obs. 118 118 118 118 * R ex 0,564 (1,920) -0,193 (1,125) -0,314 (1,275) 0,757 (1,795) 0,877 (1,860) 0,594 (1,937) 1,051 (1,397) -0,888 (3,186) 0,450 (1,937) -0,164 (1,168) -0,280 (1,330) 0,614 (1,805) 0,730 (1,879) 0,594 (1,937) 1,051 (1,397) -1,031 (3,192) 0,741 (1,940) -0,164 (1,168) -0,280 (1,330) 0,905 (1,826) 1,022 (1,906) 0,594 (1,937) 1,051 (1,397) -0,740 (3,211) 0,782 (1,945) -0,164 (1,168) -0,280 (1,330) 0,946 (1,833) 1,063 (1,912) 0,594 (1,937) 1,051 (1,397) -0,700 (3,220) E (Rex ) 1 − tgc ( ) Rm,ex 1 − t gc ( ) * AbRex AbR *ex* BAS cum BASex * AbRex − BAS i tobs AbR *ex* − BAS i tobs 0,279 0,323 0,230 0,217 -0,768 (3,257) -0,915 (3,271) -0,623 (3,294) -0,582 (3,298) 0,236 0,278 0,189 0,177 Although not shown here, we repeated the tests in Table 10 for each of two separate periods, according to the different transactions settling procedures adopted by the Portuguese Stock Exchange. The results show that in the 1994-1996 period the returns are lower than those observed after 1997 (with also a reduction in the mean bid-ask spreads, both cum and ex-dividend), but the abnormal returns still remain statistically insignificant at conventional levels for any of such sub-periods. We can thus conclude that for most of the nineties, it was not possible for any investor to obtain abnormal returns from short-term attempting to profit from potential tax-induced arbitrage opportunities around the ex-dividend date, after taxes and bid-ask spread costs. One must also note that such conclusion would be reinforced with the inclusion of other transaction costs 26 such as brokerage and Stock Exchange fees or short-selling costs, all of which were not considered here. An assumption made in Table 10 was that all investors when buying (or selling) shares on the cum-dividend day and closing their positions at exdividend day would bear the full burden of the bid-ask spread cost in each of those dates. So as to measure the sensitivity of the results to the size of the bid-ask spreads, we re-estimated the models considering as an alternative, either half of the bid-ask spreads or the proxy variable suggested by Karpoff and Walking (1988)29, for the two transaction days. Although not reported here, the results, in all the relevant aspects, remained unchallenged, thus adding robustness to the conclusion that there are no short-term arbitrage opportunities for investors in each tax category. Table 11 Abnormal Returns for Tax-Exempt Investors According to Dividend Yield Quintiles The table below shows the results from the estimation of abnormal after-tax returns by dividend yield quintiles in the 1994-2001 period for tax-exempt investors and according to the different estimation models described in (21) and (22). N. Obs. is the number of observations. DY is the dividend yield (dividend divided by the cumdividend price). R*ex is the non-adjusted return at the ex-dividend date. Rm,ex is the PSI-20 Index market return at the ex-dividend date. E(Rex) is the expected stock returns at the ex-dividend date computed according to a market model. BAScum and BASex are the difference between bid and ask prices scaled by the bid price at the * cum-dividend and ex-dividend dates, respectively. AbRex and AbR*ex* are, respectively, the estimated ex-dividend abnormal returns according to a market model or by simply subtracting the ex-dividend market return. Standard deviations are in parentheses. Numbers are presented in percentage terms. 1st Quintile 2nd Quintile 3rd Quintile 4th Quintile 5th Quintile N. Obs. 24 24 23 24 23 DY 1,057 1,712 2,620 3,558 5,364 * R ex * AbR ex − BAS i 0,046 (2,720) -0,212 (1,868) -0,132 (1,976) 0,258 (2,539) 0,178 (2,579) 0,786 (0,736) 1,008 (0,857) -1,535 (2,369) 0,873 (1,731) 0,220 (1,137) 0,157 (1,154) 0,653 (1,398) 0,716 (1,421) 0,926 (0,877) 1,231 (2,060) -1,504 (2,801) 1,254 (1,534) -0,322 (1,090) -0,604 (1,512) 1,576 1,257) 1,858 (1,417) 0,117 (3,831) 1,163 (1,594) 0,296 (5,007) 1,382 (1,623) -0,070 (0,611) -0,329 (0,993) 1,452 (1,667) 1,711 (1,803) 0,493 (1,770) 1,024 (1,394) -0,065 (2,520) 1,472 (1,683) -0,455 (0,620) -0,517 (0,452) 1,927 (1,732) 1,989 (1,699) 0,628 (0,480) 0,827 (0,709) 0,472 (2,413) tobs 0,648 0,537 0,059 0,026 0,196 AbR *ex* − BAS i -1,615 (2,561) -1,441 (2,909) 0,578 (5,042) 0,194 (2,588) 0,534 (2,365) tobs 0,631 0,495 0,115 0,075 0,226 E (Rex ) 1 − tgc ( ) Rm,ex 1 − t gc ( ) * AbRex AbR *ex* BAS cum BAS ex 29 BAS = Ask − Bid (Ask + Bid ) 2 27 For further checking of the robustness of our results, we re-estimated in Table 11 the empirical models for the particular case of tax-exempt investors, looking at the same time at different dividend yield quintiles. The results from the table above allow us to analyze if, in the extreme situation where a potential arbitrageur is exempt from both dividends and capital gains taxation, it is possible to earn abnormal returns from a shortterm trading strategy around the ex-dividend day. We also test if such possibility varies for corporations offering substantially different dividend yields. The findings reported in Table 11 are, however, in accordance with the inexistence of profitable arbitrage opportunities after spread costs are taken into consideration. In fact, even at the less demanding significance level of 10% there are no statistically meaningful abnormal returns for such investors in any dividend yield quintile. VI. SUMMARY AND CONCLUSIONS The special characteristics of the Portuguese tax system and the changes it experienced between 1993 and 2002 allows an unique opportunity to examine the relation between ex-dividend pricing, investors’ tax status and market efficiency. For this purpose we first identified different investor categories according to their particular tax profile regarding differential dividend and capital gains taxation. Our initial results show that the changes in prices at the ex-dividend day are consistent with the argument that it is indeed the tax effect the dominant force behind ex-dividend pricing in the Portuguese market, in accordance to Elton and Gruber (1970). Our findings also strongly suggest that a particular investor category (class B.1.) is the most likely investor determining prices at the margin in this market. The profile for this investor is that of a typical long-term shareholder in the highest tax bracket. Our methodology and results also allowed us to conclude that the behaviour of ex-dividend pricing in the Portuguese market is not consistent with market microstructure arguments such as that of Bali and Hite (1998). Regarding the clientele hypothesis, although some positive correlation between dividend yield and the ratio between price changes and gross dividend (QVP) was found as expected, the overall evidence was moderately consistent only with the presence of such effects. Given the existence of different tax statuses and corresponding investor categories, we also analysed the possibility that some of those investors were able to earn abnormal returns using short-term trading strategies around the ex-dividend date. This potential opportunity is particularly interesting given not only the large differences between the dividend tax discrimination factors between investors but also the small size and low liquidity of the Portuguese Stock Exchange which could potentially lead to magnified arbitrage opportunities. 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(1991), “An Examination of Ex-Dividend Day Stock price Movements: The Case of Non-Taxable Master Limited Partnership Distributions”, Journal of Finance, Vol.46, nº 2, pp. 755-771 31 APPENDIX The Evolution of the Portuguese Tax System: Dividends versus Capital Gains (Individuals) 1989 – 2000 Dividends Dividends are taxed according to a withholding tax (taxa liberatória) that liberates investors from further tax responsibilities (given the tax allowance attributed to listed firms, the withholding tax was 25% in 1991, 15% from 1992 to 1994, 12,5% from 1995 to 1999 and 15% in 2000). 2001 2002 Dividends are taxed in definite terms according to a withholding tax of 20%. Dividends are added to other sources of income for taxing purposes. Possibility of adding dividend income to the investor’s overall income for taxing purposes. However, for the sake of determining the marginal tax rate applicable to all other sources of income dividends are always taken into account. Substitution of the former tax credit system by the consideration of 50% only of the dividend for taxing purposes. The 10% withholding tax is eliminated. Regime switches back to existing one before the 2001, and for all stocks bough before 31/12/2002, that is: Withholding tax reduced to 15%. Possibility of adding for taxing purposes dividend income to the investor’s overall income with the benefit of a tax credit (such tax credit changed as follows: 20% of dividends in1989, 35% in 1991, 50% in 1993 and 60% em 1995). Capital gains are taxed according to a 10% withholding tax that liberates investors from further tax responsibilities (taxa liberatória); Capital gains are compulsively added to all other sources of income according to the following percentages: Possibility of adding for taxing purposes capital gains income to the investor’s overall income; Capital Gains Full tax-exemption if the holding period exceeds 12 months. Holding period % of capital gains income added to other sources of income for taxing purposes ≤ 12 months 75% 12 months < period ≤ 24 months 60% 24 months < period ≤ 60 months 40% > 60 months 30% • Capital gains are taxed according to a 10% withholding tax that liberates investors from further tax responsibilities; • Possibility of adding for taxing purposes dividend income to the investor’s overall income; • Full tax-exemption if the holding period exceeds 12 months. The Evolution of the Portuguese Tax System: Dividends versus Capital Gains (Corporations) 1989 – 2000 2001 Dividends are taxed according to two conditions: “More Favourable” Regime: 100% of dividends are tax-exempted; Any company stake can be included in this regime as long as its holding period is at least one year; Exemption from withholding tax only if the holding period is at least 2 years at the time of the dividend payment. “More Favourable” Regime: “Less Favourable” Regime: Withholding tax changed to 20%. “Less Favourable” Regime: Until 1993, capital gains could be exempt from taxes as long as the shares were held for at least 12 months and as long as their sale value was reinvested in fixed tangible or financial assets that remained in the firm at least until the end of the second fiscal year following its acquisition. Capital gains are fully taxed but enjoy a 5 year deferral benefit in case of reinvestment of the sale amount in fixed assets before the end of the second fiscal year after the sale This tax benefit was substituted in 1993 by a regime where any capital gains profits would be entitled to a mere tax deferral benefit, being taxed when the reinvested assets were subject to tax depreciation and/or when those assets were later sold. Capital gains are fully taxed in the same year as that of the sale if no reinvestment under the conditions above is made. 50% only of net capital gains (gains minus losses) made after 01/01/2002 are taxed as long as the reinvestment of the sale amount is made before the end of the second fiscal year following the sale. % ownership / holding period Dividends 2002 < 25% ≥ 25% < 2 years (i) (i) ≥ 2 years (i) (ii) (i) “Less Favourable” Tax Regime: withholding tax equal to that of Personal Income Tax (IRS) (25% in 1991, 15% from 1992 to 1994, 12,5% from 1995 to 1999, and 15% em 2000); tax credit benefits according to the same conditions and percentages as defined for IRS. (ii) “More Favourable” Tax Regime: 95% of dividends are not subject to taxation or to withholding taxes. Such regime is also applicable to a number of special institutions that included venture capital firms (Sociedades de Capital de Risco) , regional development companies (Sociedades de Desenvolvimento Regional), societies for entrepreneurial development (Sociedades de Fomento Empresarial), holding companies (Sociedades Gestoras de Participações Sociais, or SGPS), investment companies (Sociedades de Investimento) and stockbroking financial firms (Sociedades Financeiras de Corretagem), regardless of the holding period or the percentage owned in the dividend paying firm. Reduction, from 25% to 10%, of the minimum ownership percentage required to enjoy this tax status; Reduction of the minimum holding period required to enjoy this tax status from 2 years to 1. Tax credit elimination, being substituted by a tax exemption applicable to 50% of the dividend income. (iii) “Consolidation Profits Regime”: firms are taxed according to the consolidated profit only. Capital Gains This regime is applicable to all stakes in companies as long as the sale amount is reinvested in other company stakes as the stakes sold have a holding period of at least 1 year and correspond to an ownership of at least 10%. In the case of holding firms (SGPS), there is no minimum stake requirement.
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