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Suppose that there are just three types of investors with the following tax rates: Individuals Corporations Institutions Dividends 45 % 20 % 0 % Capital

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

Individuals Corporations Institutions
Dividends 45 % 20 % 0 %
Capital gains 20 50 0

Individuals invest a total of $80.7 billion in stock and corporations invest $10.84 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 $100.7 billion, the medium-payout stocks have a value of $50.7 billion, and the high-payout stocks have a value of $120.7 billion.

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

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?

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.

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?

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

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