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

	Individuals	Corporations	Institutions
Dividends	30%	5%	0%
Capital gains	15%	30%	0%

Individuals invest a total of $80 billion in stock and corporations invest $10 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 pre-tax payouts per share:

	Low Payout	Medium Payout	High Payout
Dividends	$8	$10	$30
Capital gains	$17	$10	$0

These payoffs are expected to persist in perpetuity. The low-payout stocks have a total market value of $100 billion, the medium-payout stocks have a value of $50 billion, and the high payout stocks have a value of $120 billion. Assume that the marginal investors that determine the stock prices are the institutional investors, and they require 12% after-tax returns. What are the dollar amounts of the three types of stock held by each investor group? Show all work to receive marks. No marks will be given for answers without justification.

	Low Payout	Medium Payout	High Payout
Individuals (1.5 marks)	$[A] billion	$[B] billion	$[C] billion
Corporations (1.5 marks)	$[D] billion	$[E] billion	$[F] billion
Institutions (1.5 marks)	$[G] billion	$[H] billion	$[I] billion