(2) (25 points) Suppose there are three types of investors with the following tax rates: + Individuals 50% 15% Dividends Capital gains Corporations 5% 35% Institutions % 0% %0 Amount of investments: Individuals: $ 80 billion. Corporations $10 billion. Institutions hold $180 billion amount. All three groups seek to maximize their after-tax income. These three investors can choose from three types of stocks offering the following pre-tax payouts:- Medium Payout Low Payout $52 $154 Dividends Capital gains $54 High Payout $30 $ 0 $54 The payoffs are expected to last forever. The low payout stocks have a total market value of $100 billion. The medium payout stocks have a total market value of $50 billion. The high payout stocks have a total market value of $120 billion. Find the after-tax returns of the three types of stocks for reach investor group