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Suppose that there are just three types of investors with the following tax rates: Individuals Corporations Institutions Dividends 40 % 20 % 0 % Capital

Suppose that there are just three types of investors with the following tax rates:

Individuals Corporations Institutions
Dividends 40 % 20 % 0 %
Capital gains 16 6 0

Individuals invest a total of $81.9 billion in stock and corporations invest $12.28 billion. The remaining stock is held by the institutions. All three groups simply seek to maximize their after-tax income.

These investors can choose from three types of stock offering the following pretax payouts per share:

Low Payout Medium Payout High Payout
Dividends $ 6 $ 6 $ 35
Capital gains 16 6 0

These payoffs are expected to persist in perpetuity. The low-payout stocks have a total market value of $101.9 billion, the medium-payout stocks have a value of $51.9 billion, and the high-payout stocks have a value of $121.9 billion.

a. Who are the marginal investors that determine the prices of the stocks?

Corporations
Institutions
Individuals

b. Suppose that this marginal group of investors requires an after-tax return of 10%. What are the prices of the low-, medium-, and high-payout stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Price of low-payout stock $
Price of medium-payout stock $
Price of high-payout stock $

c. Calculate the after-tax returns of the three types of stock for each investor group. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Institutions Individuals Corporations
Low-payout stock % % %
Medium-payout stock % % %
High-payout stock % % %

d. What are the dollar amounts of the three types of stock held by each investor group? (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

Institutions Individuals Corporations
Low-payout stock $ $ $
Medium-payout stock $ $ $
High-payout stock $ $ $

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