# Determining the Ex-Dividend Price

A model that incorporates tax effects into determining the ex-dividend price is; (P0-Px)/D=(1-Tp)/(1-Tg)

where P0 is the price just before the stock goes ex, Px is the ex-dividend share price, D is the amount 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?

b. If Tp = 30 percent and Tg = 0, how much will share price fall?

c. If Tp= 25 percent and Tg = 20 percent, how much will share price fall?

d. Suppose the only owners of stock are corporations. Corporations get 100 percent exemption from taxation on the dividend income they receive, but they do not get 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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#### Solution Preview

A model that incorporates tax effects into determining the ex-dividend price is; (P0-Px)/D=(1-Tp)/(1-Tg), where P0 is the price just before the stock goes ex, Px is the ex-dividend share price, D is the amount 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?

In this case, (P0-Px)/D=1/1, so P0-Px=D. The drop will equal the amount of the dividend per share.

b. If Tp = 30 percent and Tg = 0, how much will share price fall?

In ...

#### Solution Summary

A model that incorporates tax effects into determining the ex-dividend price is (P0-Px)/D=(1-Tp)/(1-Tg)

where P0 is the price just before the stock goes ex, Px is the ex-dividend share price, D is the amount 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?

b. If Tp = 30 percent and Tg = 0, how much will share price fall?

c. If Tp= 25 percent and Tg = 20 percent, how much will share price fall?

d. Suppose the only owners of stock are corporations. Corporations get 100 percent exemption from taxation on the dividend income they receive, but they do not get 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?