# Question

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:9

( P 0 2 P X )y D 5 (1 2 T P )y(1 2 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, T P 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?

b. If T P= 15 percent and T G = 0, how much will the share price fall?

c. If T P= 15 percent and T G = 30 percent, how much will the share price fall?

d. Suppose the only owners of stock are corporations. Recall that corporations get at least a 70 percent exemption from taxation on the dividend income the receive, but they do not get such an exemption on capital gains. If the corporation’s income and capital gains tax rates are both 35 percent, what does this model predict the ex-dividend share price will be?

e. What does this problem tell you about real-world tax considerations and the dividend policy of the firm?

( P 0 2 P X )y D 5 (1 2 T P )y(1 2 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, T P 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?

b. If T P= 15 percent and T G = 0, how much will the share price fall?

c. If T P= 15 percent and T G = 30 percent, how much will the share price fall?

d. Suppose the only owners of stock are corporations. Recall that corporations get at least a 70 percent exemption from taxation on the dividend income the receive, but they do not get such an exemption on capital gains. If the corporation’s income and capital gains tax rates are both 35 percent, what does this model predict the ex-dividend share price will be?

e. What does this problem tell you about real-world tax considerations and the dividend policy of the firm?

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