As discussed in the text, in the absence of market imperfections and tax effects, we would expect the share price to decline by the amount of the dividend payment when the stock goes ex dividend. Once we consider the role of taxes, however, this is not necessarily true. One model has been proposed that incorporates tax effects into determining the ex$-$dividend price: ${?}^1$

$\frac{P_0-P_x}{D}=\frac{1-T_P}{1-T_G}$

where $P_0$ is the price just before the stock goes ex$,P_x$ is the ex$-$dividend share price, $D$ is the amount of the dividend per share, $TP$ is the relevant marginal personal tax rate on dividends, and $T_G$ is the effective marginal tax rate on capital gains.

a$.$ If $T_P=T_G=0,$ how much will the share price fall when the stock goes ex$?$

$P_0$

$P_x$

D

b$.$ If $T_P=15$ percent and $T_G=0,$ how much will the share price fall? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Share price $=?$

c$.$ If $T_P=15$ percent and $T_G=30$ percent, how much will the share price fall? $($Do not round intermediate calculations and round your answer to $4$ decimal places, e$.$g$.,32\mathrm{.}1616.)$

Share price$=?$ D

d$.$ Suppose the only owners of stock are corporations. Recall that forporations get at least a $50$ percent exemption from taxation on the dividend income they receive, but they do not get such an exemption on capital gains. If the corporation's income and capital gains tax rates are both $21$ percent, what does this model predict the exdividend share price will be$?($Do not round intermediate calculations and round your answer to $4$ decimal places, e$.$g$.,32\mathrm{.}1616.)$

Share price $=?$

N$.$ Elton and M$.$ Gruber, "Marginal Stockholder Tax Rates and the Clientele Effect,". Review of Economics and Statistics $52($February $1970).$

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