As discussed in the text, in the absence of market imperfections and tax effects
ID: 2797059 • Letter: A
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:
(P0 – PX) / D = (1 – TP) / (1 – TG)
Here P0 is the price just before the stock goes ex, PX 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 TG is the effective marginal tax rate on capital gains.
a. If TP = TG = 0, how much will the share price fall when the stock goes ex? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.)
Share price decline D
b. If TP = 15 percent and TG = 0, how much will the share price fall? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Share price decline D
c. If TP = 15 percent and if TG = 30 percent, how much will the share price fall? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)
Share price decline D
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 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 40 percent, what does this model predict the change in the ex-dividend share price will be? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., 32.1616.)
Share price decline D
Explanation / Answer
A) if Tp and Tg becomes 0 ,then (Po-Px)/D = 1 i.e Po-Px = D,that means the price declined by the amount of dividend declared.
B)If Tp = 15%, and Tg = 0,then (Po-Px)/D = 0.85,i.e is Po -Px = 0.85D that means the share price will fall by 85% of dividend declared
C)If Tp = 15% and Tg= 30%,then (Po-Px)/D = 0.85/0.7 i.e Po-Px =1.2143D,that means share price will fall by 121.43% of the amount of dividend declared.
D)corporations get at least a 70 percent exemption from taxation on the dividend income they receive, but they do not get such an exemption on capital gains i.e the effective tax rate on income will be 30%*40% i.e 12%
(Po-Px)/D = (1-0.12)/(1-0.4)
Po-Px = 0.88/0.6 *D =i.e P0-Px = = 1.4667 i.e the share price will decline by 146.67% of amount of dividend declared.
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